Details

analyze367.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	6
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
71.1%	71%	28.9%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
85%	84.9%	15%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample3.3s (20.9%)

Results

3.0s

8256×

body

256

valid

Bogosity

preprocess331.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1240×	`rational_best-simplify-89`
1170×	`rational_best-simplify-3`
1126×	`rational_best-simplify-108`
726×	`rational_best-simplify-65`
578×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	26	46
2	67	46
3	211	46
4	780	46
5	4220	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 f n) (neg.f64 (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f))
(/.f64 (+.f64 f n) (neg.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 f n))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify571.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

994×	`rational_best-simplify-66`
948×	`rational_best-simplify-3`
708×	`rational_best-simplify-58`
702×	`rational_best-simplify-108`
660×	`rational_best-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	18	23
2	49	23
3	144	23
4	546	23
5	3244	19
6	6905	19

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 f n) (neg.f64 (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))

eval1.0ms (0%)

Compiler: Compiled 25 to 10 computations (60% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize26.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	n	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	f	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	f	@	0	(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms	n	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite665.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`rational_best-4`
1564×	`rational_best-2`
1564×	`rational_best-3`
1564×	`rational_best-1`
1564×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	51	19
2	147	19
3	556	19
4	3804	19

Stop Event

1×	node limit

Counts

1 → 87

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (/.f64 (+.f64 n (/.f64 f 2)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (/.f64 (+.f64 f (/.f64 n 2)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 n (/.f64 f 2)) (-.f64 n f)) (/.f64 f (.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 f (/.f64 n 2)) (-.f64 n f)) (/.f64 n (.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)) 2) (/.f64 (.f64 3/2 (/.f64 (+.f64 f n) (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 f (+.f64 n n)) (.f64 (-.f64 n f) 4)) (/.f64 (+.f64 f (.f64 (+.f64 f n) 2)) (.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 f (+.f64 f n)) (.f64 (-.f64 n f) 4)) (/.f64 (+.f64 n (.f64 (+.f64 f n) 2)) (.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 f n) (.f64 (-.f64 n f) 4)) (/.f64 (.f64 (+.f64 f n) 3) (.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 3/2 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (/.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (+.f64 f n) 3) (.f64 (-.f64 n f) 4)) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 n (.f64 (+.f64 f n) 2)) (.f64 (-.f64 n f) 4)) (/.f64 (+.f64 f (+.f64 f n)) (.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 f (.f64 (+.f64 f n) 2)) (.f64 (-.f64 n f) 4)) (/.f64 (+.f64 f (+.f64 n n)) (.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 f n) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)) (+.f64 (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (+.f64 (/.f64 (/.f64 n (-.f64 f n)) 2) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (/.f64 (-.f64 (neg.f64 f) (+.f64 n n)) (.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (-.f64 (/.f64 n (-.f64 f n)) (/.f64 f (.f64 (-.f64 n f) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (+.f64 (+.f64 (/.f64 (/.f64 n (-.f64 f n)) 2) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (+.f64 (/.f64 (-.f64 (neg.f64 f) (+.f64 n n)) (.f64 (-.f64 n f) 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (+.f64 (-.f64 (/.f64 n (-.f64 f n)) (/.f64 f (.f64 (-.f64 n f) 2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (+.f64 (/.f64 (/.f64 f (-.f64 f n)) 2) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (/.f64 (-.f64 (neg.f64 f) (+.f64 f n)) (.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (+.f64 (+.f64 (/.f64 (/.f64 f (-.f64 f n)) 2) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (+.f64 (/.f64 (-.f64 (neg.f64 f) (+.f64 f n)) (.f64 (-.f64 n f) 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 n (/.f64 f 2)) (-.f64 n f)) (/.f64 (/.f64 f (-.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 f (/.f64 n 2)) (-.f64 n f)) (/.f64 (/.f64 n (-.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))) (/.f64 (/.f64 n (-.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))) (/.f64 (/.f64 f (-.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 3/2 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (/.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 3/2 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 f n) 3) (.f64 (-.f64 n f) 4)) (/.f64 (-.f64 (neg.f64 n) f) (.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 f n) 3) (.f64 (-.f64 n f) 4)) (+.f64 (/.f64 (-.f64 (neg.f64 n) f) (.f64 (-.f64 n f) 4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 n f) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 f n) 2) (/.f64 1/2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (neg.f64 n) f) (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (neg.f64 n) f) (/.f64 -1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 f n) 4) (/.f64 1 (.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 f n) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 n f)) (.f64 (-.f64 n f) (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 n f)) (.f64 (+.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 n f)) (.f64 (-.f64 n f) (.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (.f64 (+.f64 f n) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 f n) -2) (/.f64 1/2 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (-.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 f n) 4) (-.f64 n f)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 f n) 4)) (/.f64 1 (.f64 2 (.f64 (-.f64 n f) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 1 (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 1 (/.f64 2 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (.f64 (+.f64 f n) 4) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 f n)) (-.f64 (neg.f64 n) f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 (-.f64 n f))) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 2 (.f64 (-.f64 n f) 4))) (.f64 2 (.f64 (+.f64 f n) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 2 (-.f64 n f))) (.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 2 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 f n)) (.f64 (+.f64 f n) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 n f)) (-.f64 (neg.f64 n) f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 n f) (.f64 (+.f64 f n) 2)) (/.f64 (/.f64 1/2 (-.f64 n f)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 n f) (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 n f) (.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (/.f64 1/2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 n f) (.f64 (+.f64 f n) 4)) (/.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 n f)) (.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 (-.f64 n f)) (-.f64 n f)) (.f64 (-.f64 n f) (.f64 (+.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (-.f64 n f)) (.f64 (-.f64 n f) (.f64 (+.f64 f n) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (*.f64 (-.f64 n f) (/.f64 2 (-.f64 n f))) -1) (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) (/.f64 (+.f64 n (/.f64 f 2)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (*.f64 (-.f64 n f) 2)) (/.f64 (+.f64 f (/.f64 n 2)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 n (/.f64 f 2)) (-.f64 n f)) (/.f64 f (*.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 f (/.f64 n 2)) (-.f64 n f)) (/.f64 n (*.f64 (-.f64 n f) 2)))))) 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simplify457.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1126×	`rational_best-simplify-50`
1098×	`rational_best-simplify-55`
1066×	`rational_best-simplify-65`
986×	`rational_best-simplify-47`
948×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	4573
1	730	4251
2	2221	3951

Stop Event

1×	node limit

Counts

111 → 189

Calls

Call 1

Inputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
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-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
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(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
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-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
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(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
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1
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(-.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 0)
(-.f64 0 (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f)))
(-.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 2))
(-.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)) (+.f64 (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 2) 0))
(-.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (/.f64 (+.f64 f n) (-.f64 n f)))
(-.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) (+.f64 (/.f64 (/.f64 n (-.f64 f n)) 2) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))))
(-.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (/.f64 (-.f64 (neg.f64 f) (+.f64 n n)) (.f64 (-.f64 n f) 2)))
(-.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (-.f64 (/.f64 n (-.f64 f n)) (/.f64 f (.f64 (-.f64 n f) 2))))
(-.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) (+.f64 (+.f64 (/.f64 (/.f64 n (-.f64 f n)) 2) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))) 0))
(-.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (+.f64 (/.f64 (-.f64 (neg.f64 f) (+.f64 n n)) (.f64 (-.f64 n f) 2)) 0))
(-.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (+.f64 (-.f64 (/.f64 n (-.f64 f n)) (/.f64 f (.f64 (-.f64 n f) 2))) 0))
(-.f64 (/.f64 n (*.f64 (-.f64 n f) 2)) (+.f64 (/.f64 (/.f64 f (-.f64 f n)) 2) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))))
(-.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (/.f64 (-.f64 (neg.f64 f) (+.f64 f n)) (.f64 (-.f64 n f) 2)))
(-.f64 (/.f64 n (*.f64 (-.f64 n f) 2)) (+.f64 (+.f64 (/.f64 (/.f64 f (-.f64 f n)) 2) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))) 0))
(-.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (+.f64 (/.f64 (-.f64 (neg.f64 f) (+.f64 f n)) (.f64 (-.f64 n f) 2)) 0))
(-.f64 (/.f64 (+.f64 n (/.f64 f 2)) (-.f64 n f)) (/.f64 (/.f64 f (-.f64 f n)) 2))
(-.f64 (/.f64 (+.f64 f (/.f64 n 2)) (-.f64 n f)) (/.f64 (/.f64 n (-.f64 f n)) 2))
(-.f64 (-.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))) (/.f64 (/.f64 n (-.f64 f n)) 2))
(-.f64 (-.f64 (/.f64 n (*.f64 (-.f64 n f) 2)) (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f))) (/.f64 (/.f64 f (-.f64 f n)) 2))
(-.f64 (/.f64 (*.f64 3/2 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (/.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f)) 2))
(-.f64 (/.f64 (*.f64 3/2 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f)) 2) 0))
(-.f64 (/.f64 (.f64 (+.f64 f n) 3) (.f64 (-.f64 n f) 4)) (/.f64 (-.f64 (neg.f64 n) f) (*.f64 (-.f64 n f) 4)))
(-.f64 (/.f64 (.f64 (+.f64 f n) 3) (.f64 (-.f64 n f) 4)) (+.f64 (/.f64 (-.f64 (neg.f64 n) f) (*.f64 (-.f64 n f) 4)) 0))
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(.f64 (-.f64 n f) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(.f64 (.f64 (+.f64 f n) 2) (/.f64 1/2 (-.f64 n f)))
(*.f64 (-.f64 (neg.f64 n) f) (/.f64 1 (-.f64 f n)))
(*.f64 (-.f64 (neg.f64 n) f) (/.f64 -1 (-.f64 n f)))
(*.f64 2 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 f n)))
(.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/2)
(.f64 (.f64 (+.f64 f n) 4) (/.f64 1 (*.f64 (-.f64 n f) 4)))
(*.f64 -1 (/.f64 (+.f64 f n) (-.f64 f n)))
(.f64 1/2 (.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(.f64 (/.f64 1 (-.f64 n f)) (.f64 (-.f64 n f) (/.f64 (+.f64 f n) (-.f64 n f))))
(.f64 (/.f64 1/2 (-.f64 n f)) (.f64 (+.f64 f n) 2))
(.f64 (/.f64 1/2 (-.f64 n f)) (.f64 (-.f64 n f) (*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (*.f64 (+.f64 f n) 4))
(.f64 (.f64 (+.f64 f n) -2) (/.f64 1/2 (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) -1)
(.f64 (/.f64 (.f64 (+.f64 f n) 4) (-.f64 n f)) 1/4)
(.f64 (.f64 2 (.f64 (+.f64 f n) 4)) (/.f64 1 (.f64 2 (*.f64 (-.f64 n f) 4))))
(.f64 (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))) (-.f64 n f))
(.f64 (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 1 (/.f64 1 (-.f64 n f))))
(.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 1 (/.f64 2 (-.f64 n f))))
(*.f64 -2 (/.f64 (/.f64 (+.f64 f n) -2) (-.f64 n f)))
(.f64 1/4 (/.f64 (.f64 (+.f64 f n) 4) (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 f n)) (-.f64 (neg.f64 n) f))
(.f64 (/.f64 1 (/.f64 1 (-.f64 n f))) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))
(.f64 (/.f64 1 (.f64 2 (.f64 (-.f64 n f) 4))) (.f64 2 (*.f64 (+.f64 f n) 4)))
(.f64 (/.f64 1 (/.f64 2 (-.f64 n f))) (.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 2 (-.f64 f n))))
(.f64 (/.f64 1/2 (-.f64 f n)) (.f64 (+.f64 f n) -2))
(*.f64 (/.f64 -1 (-.f64 n f)) (-.f64 (neg.f64 n) f))
(.f64 (.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (*.f64 (+.f64 f n) 2)) (/.f64 (/.f64 1/2 (-.f64 n f)) (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 1 (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (/.f64 1/2 (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (.f64 (+.f64 f n) 4)) (/.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (-.f64 n f)))
(.f64 (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 n f)) (.f64 (+.f64 f n) (-.f64 n f)))
(.f64 (/.f64 (/.f64 1/2 (-.f64 n f)) (-.f64 n f)) (.f64 (-.f64 n f) (*.f64 (+.f64 f n) 2)))
(.f64 (/.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (-.f64 n f)) (.f64 (-.f64 n f) (.f64 (+.f64 f n) 4)))
(.f64 (+.f64 (.f64 (-.f64 n f) (/.f64 2 (-.f64 n f))) -1) (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(neg.f64 (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f)))

Outputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (.f64 f (/.f64 2 n))) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (+.f64 (.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (+.f64 1 (.f64 (pow.f64 f 3) (/.f64 2 (pow.f64 n 3)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (*.f64 n (/.f64 -1 f)) (+.f64 1 (/.f64 n f)))
(+.f64 (-.f64 (/.f64 n (neg.f64 f)) (/.f64 n f)) -1)
(-.f64 -1 (/.f64 (*.f64 n 2) f))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (.f64 n (/.f64 -1 f)) (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 n (neg.f64 f)) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 -1 (/.f64 (.f64 n 2) f)) (/.f64 (neg.f64 (.f64 n (*.f64 n -2))) (pow.f64 f 2)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (+.f64 (.f64 n (/.f64 -1 f)) (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (neg.f64 n) n)) (pow.f64 f 3))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 n (neg.f64 f)) (+.f64 (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2)) (/.f64 (.f64 (pow.f64 n 2) (-.f64 (neg.f64 n) n)) (pow.f64 f 3)))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 n (neg.f64 f)) (+.f64 (/.f64 (.f64 n (.f64 n -2)) (pow.f64 f 2)) (/.f64 (.f64 (pow.f64 n 2) (.f64 n -2)) (pow.f64 f 3)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(+.f64 (*.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) f)) -1)
(+.f64 -1 (neg.f64 (/.f64 (-.f64 n (neg.f64 n)) f)))
(+.f64 -1 (neg.f64 (/.f64 (*.f64 n 2) f)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) f)) (.f64 -1 (/.f64 (*.f64 n (-.f64 n (neg.f64 n))) (pow.f64 f 2)))) -1)
(+.f64 -1 (.f64 -1 (+.f64 (/.f64 (-.f64 n (neg.f64 n)) f) (/.f64 (.f64 n (-.f64 n (neg.f64 n))) (pow.f64 f 2)))))
(+.f64 -1 (.f64 -1 (+.f64 (/.f64 (.f64 n 2) f) (/.f64 (.f64 n (.f64 n 2)) (pow.f64 f 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
(+.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) f)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (neg.f64 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (*.f64 n (-.f64 n (neg.f64 n))) (pow.f64 f 2))))) -1)
(+.f64 -1 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (neg.f64 n))) (pow.f64 f 3))) (.f64 -1 (+.f64 (/.f64 (-.f64 n (neg.f64 n)) f) (/.f64 (*.f64 n (-.f64 n (neg.f64 n))) (pow.f64 f 2))))))
(+.f64 -1 (+.f64 (.f64 -1 (+.f64 (/.f64 (.f64 n 2) f) (/.f64 (.f64 n (.f64 n 2)) (pow.f64 f 2)))) (neg.f64 (/.f64 (.f64 (pow.f64 n 2) (.f64 n 2)) (pow.f64 f 3)))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 n (/.f64 -2 f)) -1)
(+.f64 -1 (*.f64 n (/.f64 -2 f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (+.f64 (.f64 n (/.f64 -2 f)) (.f64 (pow.f64 n 2) (/.f64 -2 (pow.f64 f 2)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
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(+.f64 -1 (+.f64 (.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) (.f64 (pow.f64 n 3) (/.f64 -2 (pow.f64 f 3)))))
(+.f64 -1 (+.f64 (.f64 (pow.f64 n 2) (/.f64 -2 (pow.f64 f 2))) (.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
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(-.f64 (+.f64 1 (/.f64 f n)) (neg.f64 (/.f64 f n)))
(-.f64 (/.f64 f n) (+.f64 (neg.f64 (/.f64 f n)) -1))
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(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (*.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2))) (neg.f64 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 f (.f64 f 2)) (pow.f64 n 2))) (+.f64 (neg.f64 (/.f64 f n)) -1))
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(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (neg.f64 f))) (pow.f64 n 3))))) (*.f64 f (/.f64 -1 n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (neg.f64 f))) (pow.f64 n 3)) (+.f64 1 (/.f64 f n)))) (neg.f64 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 f (.f64 f 2)) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f 2) (.f64 f 2)) (pow.f64 n 3))))) (neg.f64 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
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(-.f64 (+.f64 1 (/.f64 f n)) (neg.f64 (/.f64 f n)))
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(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)) (+.f64 1 (/.f64 f n))) (.f64 f (/.f64 -1 n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (*.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2))) (neg.f64 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 f (.f64 f 2)) (pow.f64 n 2))) (+.f64 (neg.f64 (/.f64 f n)) -1))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (neg.f64 f))) (pow.f64 n 3))))) (*.f64 f (/.f64 -1 n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (neg.f64 f))) (pow.f64 n 3)) (+.f64 1 (/.f64 f n)))) (neg.f64 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 f (.f64 f 2)) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f 2) (.f64 f 2)) (pow.f64 n 3))))) (neg.f64 (/.f64 f n)))
(+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 0)
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
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(/.f64 (+.f64 f n) (-.f64 n f))
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(/.f64 (+.f64 f n) (-.f64 n f))
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(/.f64 (+.f64 (/.f64 (+.f64 f n) -2) (/.f64 (+.f64 f n) -2)) (-.f64 f n))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
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(/.f64 (+.f64 n (/.f64 (+.f64 f f) 2)) (-.f64 n f))
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(/.f64 (+.f64 f (/.f64 (+.f64 n n) 2)) (-.f64 n f))
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(+.f64 (/.f64 (/.f64 f 2) (-.f64 n f)) (/.f64 (+.f64 n (/.f64 f 2)) (-.f64 n f)))
(/.f64 (+.f64 n (/.f64 (+.f64 f f) 2)) (-.f64 n f))
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(/.f64 (+.f64 f (/.f64 (+.f64 n n) 2)) (-.f64 n f))
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(.f64 (/.f64 1 (.f64 2 (.f64 (-.f64 n f) 4))) (.f64 2 (*.f64 (+.f64 f n) 4)))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (/.f64 1 (/.f64 2 (-.f64 n f))) (.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 2 (-.f64 f n))))
(.f64 1 (/.f64 (.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 2 (-.f64 n f))))
(.f64 1 (/.f64 (.f64 2 (+.f64 f n)) (.f64 (.f64 (-.f64 n f) (-.f64 n f)) (/.f64 2 (-.f64 n f)))))
(/.f64 (.f64 2 (+.f64 f n)) (.f64 2 (/.f64 (*.f64 (-.f64 n f) (-.f64 n f)) (-.f64 n f))))
(.f64 (/.f64 1/2 (-.f64 f n)) (.f64 (+.f64 f n) -2))
(/.f64 (+.f64 (/.f64 (+.f64 f n) -2) (/.f64 (+.f64 f n) -2)) (-.f64 f n))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 -1 (-.f64 n f)) (-.f64 (neg.f64 n) f))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(neg.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f)))
(.f64 (.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 n f)))
(.f64 (-.f64 n f) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (-.f64 n f) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)))
(-.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 0 (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (*.f64 (+.f64 f n) 2)) (/.f64 (/.f64 1/2 (-.f64 n f)) (-.f64 n f)))
(.f64 (-.f64 n f) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (-.f64 n f) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)))
(-.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 0 (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 1 (-.f64 n f)))
(.f64 (-.f64 n f) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (-.f64 n f) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)))
(-.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 0 (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (/.f64 1/2 (-.f64 n f)))
(.f64 (-.f64 n f) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (-.f64 n f) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)))
(-.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 0 (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (.f64 (+.f64 f n) 4)) (/.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (-.f64 n f)))
(.f64 (-.f64 n f) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (-.f64 n f) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)))
(-.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 0 (-.f64 n f)))
(.f64 (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 n f)) (.f64 (+.f64 f n) (-.f64 n f)))
(.f64 (-.f64 n f) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (-.f64 n f) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)))
(-.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 0 (-.f64 n f)))
(.f64 (/.f64 (/.f64 1/2 (-.f64 n f)) (-.f64 n f)) (.f64 (-.f64 n f) (*.f64 (+.f64 f n) 2)))
(.f64 (-.f64 n f) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (-.f64 n f) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)))
(-.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 0 (-.f64 n f)))
(.f64 (/.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (-.f64 n f)) (.f64 (-.f64 n f) (.f64 (+.f64 f n) 4)))
(.f64 (-.f64 n f) (/.f64 (+.f64 f n) (.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (-.f64 n f) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)))
(-.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 0 (-.f64 n f)))
(.f64 (+.f64 (.f64 (-.f64 n f) (/.f64 2 (-.f64 n f))) -1) (/.f64 (+.f64 f n) (-.f64 n f)))
(.f64 (+.f64 f n) (/.f64 (+.f64 -1 (.f64 2 (/.f64 (-.f64 n f) (-.f64 n f)))) (-.f64 n f)))
(.f64 (+.f64 f n) (/.f64 (+.f64 -1 (.f64 2 (/.f64 (-.f64 f n) (-.f64 f n)))) (-.f64 n f)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 (/.f64 (+.f64 f n) -2) (/.f64 (+.f64 f n) -2)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f)))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(neg.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f)))

eval316.0ms (2%)

Compiler: Compiled 3371 to 1524 computations (54.8% saved)

prune455.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	183	6	189
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	7	190

Error

Counts

190 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
▶	30.7b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	32.4b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
	32.8b	1
	31.2b	-1

Compiler

Compiled 57 to 39 computations (31.6% saved)

localize44.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 n f))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))

Compiler

Compiled 25 to 10 computations (60% saved)

series28.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(/.f64 1 (-.f64 n f))
0.0ms	n	@	inf	(/.f64 1 (-.f64 n f))
0.0ms	f	@	0	(/.f64 1 (-.f64 n f))
0.0ms	n	@	-inf	(/.f64 1 (-.f64 n f))
0.0ms	f	@	-inf	(/.f64 1 (-.f64 n f))

rewrite241.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`rational_best-simplify-75`
790×	`rational_best-2`
790×	`rational_best-3`
790×	`rational_best-1`
788×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	61	32
2	127	32
3	405	32
4	2014	32

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 1 (-.f64 n f))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 0 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (+.f64 (/.f64 0 (-.f64 n f)) (/.f64 0 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (+.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 f (.f64 (-.f64 n f) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (/.f64 (+.f64 n (+.f64 f f)) (.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (+.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 (/.f64 n 2) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (/.f64 (+.f64 n (+.f64 n f)) (.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (-.f64 n f)) (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 (/.f64 n 2) (-.f64 n f))) (/.f64 f (.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 f (.f64 (-.f64 n f) 2))) (/.f64 (/.f64 n 2) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 0 (-.f64 n f)) (/.f64 0 (-.f64 n f))) (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 n (+.f64 f f)) (.f64 (-.f64 n f) 2)) (/.f64 (/.f64 n 2) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 n (+.f64 n f)) (.f64 (-.f64 n f) 2)) (/.f64 f (.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 0 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (+.f64 (/.f64 0 (-.f64 n f)) (/.f64 0 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (neg.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (-.f64 (/.f64 f (-.f64 f n)) (/.f64 (/.f64 n 2) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (-.f64 (/.f64 n 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f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 n f) (-.f64 (-.f64 n (+.f64 f f)) (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n f) 2) (.f64 (-.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n f) (/.f64 2 (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n f) (/.f64 2 (-.f64 n f))) (.f64 2 (/.f64 (-.f64 f n) (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n f) 1/2) (/.f64 (-.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (.f64 (-.f64 f n) -4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (-.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 f) n) (-.f64 (+.f64 n (-.f64 f n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n f) 4) (.f64 (-.f64 f n) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (.f64 (-.f64 f n) (/.f64 4 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (+.f64 n f)) (.f64 (-.f64 n f) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 n f) 4)) (.f64 (-.f64 f n) -8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 (+.f64 n f) 4)) (.f64 2 (.f64 (-.f64 f n) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 16 (/.f64 (+.f64 n 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (-.f64 n f)) (/.f64 1/2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (-.f64 n f)) (/.f64 (/.f64 1 (-.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 n f)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 -4 (-.f64 f n)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 n f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 (-.f64 f n)) 1/16) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (-.f64 f n)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1 (*.f64 (-.f64 f n) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (*.f64 (/.f64 -4 (-.f64 f n)) 1/16) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 2 (*.f64 2 (*.f64 (-.f64 f n) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 -4 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 f n) -8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 -4 (-.f64 f n))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1/2 (*.f64 (-.f64 f n) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1 (*.f64 2 (*.f64 (-.f64 f n) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 n f)) 1)))))

simplify460.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational_best-simplify-50`
1092×	`rational_best-simplify-108`
992×	`rational_best-simplify-1`
756×	`rational_best-simplify-63`
646×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	5533
1	1384	5291
2	4851	4955

Stop Event

1×	node limit

Counts

183 → 243

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(+.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 0)
(+.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 0 (-.f64 n f)))
(+.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (+.f64 (/.f64 0 (-.f64 n f)) (/.f64 0 (-.f64 n f))))
(+.f64 0 (/.f64 (+.f64 n f) (-.f64 n f)))
(+.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)))
(+.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (+.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 f (*.f64 (-.f64 n f) 2))))
(+.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (/.f64 (+.f64 n (+.f64 f f)) (*.f64 (-.f64 n f) 2)))
(+.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) (+.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 (/.f64 n 2) (-.f64 n f))))
(+.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (/.f64 (+.f64 n (+.f64 n f)) (.f64 (-.f64 n f) 2)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 0 (-.f64 n f)) (/.f64 (+.f64 n f) (-.f64 n f)))
(+.f64 (+.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 (/.f64 n 2) (-.f64 n f))) (/.f64 f (*.f64 (-.f64 n f) 2)))
(+.f64 (+.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 f (*.f64 (-.f64 n f) 2))) (/.f64 (/.f64 n 2) (-.f64 n f)))
(+.f64 (+.f64 (/.f64 0 (-.f64 n f)) (/.f64 0 (-.f64 n f))) (/.f64 (+.f64 n f) (-.f64 n f)))
(+.f64 (/.f64 (+.f64 n (+.f64 f f)) (*.f64 (-.f64 n f) 2)) (/.f64 (/.f64 n 2) (-.f64 n f)))
(+.f64 (/.f64 (+.f64 n (+.f64 n f)) (.f64 (-.f64 n f) 2)) (/.f64 f (.f64 (-.f64 n f) 2)))
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 0)
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 0 (-.f64 n f)))
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (+.f64 (/.f64 0 (-.f64 n f)) (/.f64 0 (-.f64 n f))))
(-.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (neg.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n))))
(-.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) 2))
(-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (-.f64 (/.f64 f (-.f64 f n)) (/.f64 (/.f64 n 2) (-.f64 n f))))
(-.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (-.f64 (/.f64 n (-.f64 f n)) (/.f64 f (.f64 (-.f64 n f) 2))))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 0 (-.f64 n f)) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (/.f64 f (-.f64 f n))) (/.f64 (/.f64 n 2) (-.f64 f n)))
(-.f64 (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (/.f64 f (-.f64 f n))) (-.f64 0 (/.f64 (/.f64 n 2) (-.f64 n f))))
(-.f64 (-.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) (/.f64 n (-.f64 f n))) (/.f64 (/.f64 f 2) (-.f64 f n)))
(-.f64 (-.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (/.f64 n (-.f64 f n))) (-.f64 0 (/.f64 f (.f64 (-.f64 n f) 2))))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 (-.f64 n (+.f64 f f)) (neg.f64 f)))
(/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) 1/2)
(/.f64 (.f64 (+.f64 n f) 2) (.f64 (-.f64 n f) 2))
(/.f64 (*.f64 (+.f64 n f) (/.f64 2 (-.f64 n f))) 2)
(/.f64 (.f64 (+.f64 n f) (/.f64 2 (-.f64 n f))) (.f64 2 (/.f64 (-.f64 f n) (-.f64 f n))))
(/.f64 (*.f64 (+.f64 n f) 1/2) (/.f64 (-.f64 n f) 2))
(/.f64 (/.f64 (+.f64 n f) (*.f64 (-.f64 f n) -4)) 1/4)
(/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) -1)
(/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 (+.f64 n (-.f64 f n)) n))
(/.f64 (.f64 (+.f64 n f) 4) (.f64 (-.f64 f n) -4))
(/.f64 (*.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) 4)
(/.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (.f64 (-.f64 f n) (/.f64 4 (-.f64 f n))))
(/.f64 (.f64 -2 (+.f64 n f)) (.f64 (-.f64 n f) -2))
(/.f64 (.f64 2 (.f64 (+.f64 n f) 4)) (*.f64 (-.f64 f n) -8))
(/.f64 (.f64 4 (.f64 (+.f64 n f) 4)) (.f64 2 (.f64 (-.f64 f n) -8)))
(/.f64 (*.f64 16 (/.f64 (+.f64 n f) (-.f64 n f))) 16)
(/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 8) 8)
(/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) (/.f64 1 (-.f64 n f)))
(/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 2 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (-.f64 n f)) (/.f64 -4 (-.f64 f n)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (-.f64 n f)) (/.f64 1/2 (-.f64 n f)))
(/.f64 (.f64 4 (.f64 (+.f64 n f) 2)) (*.f64 (-.f64 f n) -8))
(/.f64 (.f64 8 (.f64 (+.f64 n f) 4)) (.f64 (.f64 (-.f64 f n) -4) 8))
(/.f64 (/.f64 (.f64 (+.f64 n f) 4) 1/2) (/.f64 (.f64 (-.f64 f n) -4) 1/2))
(/.f64 (/.f64 (.f64 (+.f64 n f) 2) 1/2) (.f64 (-.f64 f n) -4))
(/.f64 (/.f64 (.f64 (+.f64 n f) 2) 1/2) (/.f64 (.f64 (-.f64 n f) 2) 1/2))
(/.f64 (/.f64 (.f64 -2 (+.f64 n f)) -1) (.f64 (-.f64 n f) 2))
(/.f64 (/.f64 (+.f64 n f) 1/2) (*.f64 (-.f64 n f) 2))
(/.f64 (/.f64 (*.f64 (+.f64 n f) 2) -2) (-.f64 f n))
(/.f64 (/.f64 (*.f64 -2 (+.f64 n f)) 2) (-.f64 f n))
(/.f64 (/.f64 (*.f64 -2 (+.f64 n f)) -2) (-.f64 n f))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) 4) (*.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) (/.f64 1/2 (-.f64 n f))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) (*.f64 (/.f64 -4 (-.f64 f n)) 1/16)) 4)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) (/.f64 -4 (-.f64 f n))) 1/4)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) 8) (/.f64 1 (*.f64 (-.f64 f n) -8)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 1 (-.f64 n f))) 2)
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) 2) (/.f64 1 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) 4) (/.f64 1/2 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 1/2 (-.f64 n f))) 4)
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (.f64 (/.f64 -4 (-.f64 f n)) 1/16)) 8)
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 -4 (-.f64 f n))) 1/2)
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) 8) (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (-.f64 n f)) 2) (/.f64 2 (-.f64 n f)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (-.f64 n f)) (/.f64 2 (-.f64 n f))) 2)
(/.f64 (-.f64 (/.f64 (neg.f64 f) 2) (/.f64 n 2)) (/.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (-.f64 (neg.f64 f) (+.f64 n f)) n) (*.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (-.f64 (neg.f64 f) (+.f64 n n)) f) (*.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (.f64 n -2) (+.f64 f f)) (.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (.f64 f -2) (+.f64 n n)) (.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 n f) 1/2)) (+.f64 (+.f64 n f) (.f64 (+.f64 n f) 1/2))) (*.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (-.f64 (neg.f64 n) (.f64 (+.f64 n f) 1/2)) (+.f64 f (.f64 (+.f64 n f) 1/2))) (*.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (-.f64 (neg.f64 f) (.f64 (+.f64 n f) 1/2)) (+.f64 n (.f64 (+.f64 n f) 1/2))) (*.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (neg.f64 f) (-.f64 n (-.f64 (neg.f64 f) n))) (*.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (neg.f64 n) (-.f64 f (-.f64 (neg.f64 f) n))) (*.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (-.f64 f n) (+.f64 f f)) (-.f64 f n))
(/.f64 (-.f64 (-.f64 n f) (+.f64 n n)) (-.f64 f n))
(/.f64 (-.f64 (/.f64 (-.f64 (neg.f64 f) n) 2) (*.f64 (+.f64 n f) 1/2)) (-.f64 f n))
(/.f64 (-.f64 (-.f64 (neg.f64 n) (/.f64 f 2)) (/.f64 f 2)) (-.f64 f n))
(/.f64 (-.f64 (-.f64 (neg.f64 f) (/.f64 n 2)) (/.f64 n 2)) (-.f64 f n))
(/.f64 (-.f64 (-.f64 (neg.f64 f) (/.f64 n 2)) (/.f64 n 2)) (-.f64 (-.f64 f (/.f64 n 2)) (/.f64 n 2)))
(/.f64 (-.f64 (neg.f64 (/.f64 f 2)) (+.f64 n (/.f64 f 2))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 (/.f64 n 2)) (+.f64 f (/.f64 n 2))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 (/.f64 n 2)) (-.f64 (/.f64 n 2) (neg.f64 f))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 (/.f64 f 2)) (-.f64 (/.f64 f 2) (neg.f64 n))) (-.f64 f n))
(/.f64 (.f64 4 (.f64 2 (.f64 (+.f64 n f) 4))) (.f64 (*.f64 (-.f64 f n) -8) 4))
(/.f64 (.f64 8 (.f64 2 (.f64 (+.f64 n f) 4))) (.f64 (*.f64 (-.f64 f n) -8) 8))
(/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (.f64 (-.f64 n f) (.f64 (+.f64 n f) 2)) (.f64 (.f64 (-.f64 n f) 2) (-.f64 n f)))
(/.f64 (.f64 (-.f64 n f) (.f64 (+.f64 n f) 4)) (.f64 (.f64 (-.f64 f n) -4) (-.f64 n f)))
(/.f64 (.f64 (-.f64 n f) (-.f64 (neg.f64 f) n)) (.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 (-.f64 n f) (/.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(/.f64 (.f64 (-.f64 n f) (.f64 (+.f64 n f) (/.f64 2 (-.f64 n f)))) (*.f64 (-.f64 n f) 2))
(/.f64 (.f64 (-.f64 n f) (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n)))) (*.f64 (-.f64 f n) -4))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(neg.f64 (/.f64 (+.f64 n f) (-.f64 f n)))
(+.f64 (/.f64 1 (-.f64 n f)) 0)
(+.f64 0 (/.f64 1 (-.f64 n f)))
(+.f64 (/.f64 1/2 (-.f64 n f)) (/.f64 1/2 (-.f64 n f)))
(-.f64 (/.f64 1 (-.f64 n f)) 0)
(-.f64 (/.f64 1/2 (-.f64 n f)) (/.f64 (/.f64 1 (-.f64 f n)) 2))
(*.f64 1 (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) 1)
(*.f64 2 (/.f64 1/2 (-.f64 n f)))
(*.f64 (/.f64 2 (-.f64 n f)) 1/2)
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/2 (/.f64 2 (-.f64 n f)))
(*.f64 (/.f64 1/2 (-.f64 n f)) 2)
(.f64 (.f64 (/.f64 -4 (-.f64 f n)) 1/16) 4)
(*.f64 (/.f64 -4 (-.f64 f n)) 1/4)
(.f64 8 (/.f64 1 (.f64 (-.f64 f n) -8)))
(.f64 8 (.f64 (*.f64 (/.f64 -4 (-.f64 f n)) 1/16) 1/2))
(.f64 8 (/.f64 2 (.f64 2 (*.f64 (-.f64 f n) -8))))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(.f64 (/.f64 1 (.f64 (-.f64 f n) -8)) 8)
(.f64 (.f64 2 (/.f64 -4 (-.f64 f n))) 1/8)
(.f64 16 (/.f64 1/2 (.f64 (-.f64 f n) -8)))
(.f64 16 (/.f64 1 (.f64 2 (*.f64 (-.f64 f n) -8))))
(pow.f64 (/.f64 1 (-.f64 n f)) 1)

Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 -2 (/.f64 n f)) -1)
(+.f64 -1 (*.f64 n (/.f64 -2 f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (+.f64 (.f64 -2 (/.f64 n f)) (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (+.f64 (.f64 -2 (/.f64 n f)) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) -1)
(+.f64 -1 (+.f64 (.f64 n (/.f64 -2 f)) (.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
(+.f64 -1 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (/.f64 f n)) (neg.f64 (/.f64 f n)))
(-.f64 (/.f64 f n) (+.f64 (neg.f64 (/.f64 f n)) -1))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)) (+.f64 1 (/.f64 f n))) (.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (*.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2))) (neg.f64 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 f (.f64 f 2)) (pow.f64 n 2))) (+.f64 (neg.f64 (/.f64 f n)) -1))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (neg.f64 f))) (pow.f64 n 3))) (+.f64 1 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (neg.f64 f))) (pow.f64 n 3)) (+.f64 1 (/.f64 f n)))) (neg.f64 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (.f64 f 2)) (pow.f64 n 2)) (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (.f64 (pow.f64 f 2) (.f64 f 2)) (pow.f64 n 3)))) (neg.f64 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (/.f64 f n)) (neg.f64 (/.f64 f n)))
(-.f64 (/.f64 f n) (+.f64 (neg.f64 (/.f64 f n)) -1))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)) (+.f64 1 (/.f64 f n))) (.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (*.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2))) (neg.f64 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 f (.f64 f 2)) (pow.f64 n 2))) (+.f64 (neg.f64 (/.f64 f n)) -1))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (neg.f64 f))) (pow.f64 n 3))) (+.f64 1 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n 2)) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (neg.f64 f))) (pow.f64 n 3)) (+.f64 1 (/.f64 f n)))) (neg.f64 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (.f64 f 2)) (pow.f64 n 2)) (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (.f64 (pow.f64 f 2) (.f64 f 2)) (pow.f64 n 3)))) (neg.f64 (/.f64 f n)))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 (pow.f64 f 2) (/.f64 2 (pow.f64 n 2))) (+.f64 1 (.f64 2 (/.f64 f n))))
(+.f64 1 (+.f64 (.f64 f (/.f64 2 n)) (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 (+.f64 1 (.f64 (pow.f64 f 2) (/.f64 2 (pow.f64 n 2)))) (+.f64 (.f64 2 (/.f64 f n)) (*.f64 (pow.f64 f 3) (/.f64 2 (pow.f64 n 3)))))
(+.f64 (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 1 (.f64 f (/.f64 2 n))) (.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (/.f64 n f) 1))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 (/.f64 n f) 1))
(-.f64 -1 (/.f64 (*.f64 n 2) f))
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(/.f64 (*.f64 16 (/.f64 (+.f64 n f) (-.f64 n f))) 16)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 8) 8)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) (/.f64 1 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 2 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (*.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (-.f64 n f)) (/.f64 -4 (-.f64 f n)))
(/.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (.f64 (-.f64 n f) (/.f64 -4 (-.f64 f n))))
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (/.f64 0 (-.f64 f n)) 1/4))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) -2) (-.f64 f n)) (-.f64 n f)) (/.f64 1/2 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (.f64 4 (.f64 (+.f64 n f) 2)) (*.f64 (-.f64 f n) -8))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (.f64 8 (.f64 (+.f64 n f) 4)) (.f64 (.f64 (-.f64 f n) -4) 8))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (.f64 (+.f64 n f) 4) 1/2) (/.f64 (.f64 (-.f64 f n) -4) 1/2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (.f64 (+.f64 n f) 2) 1/2) (.f64 (-.f64 f n) -4))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (.f64 (+.f64 n f) 2) 1/2) (/.f64 (.f64 (-.f64 n f) 2) 1/2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (.f64 -2 (+.f64 n f)) -1) (.f64 (-.f64 n f) 2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (+.f64 n f) 1/2) (*.f64 (-.f64 n f) 2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (*.f64 (+.f64 n f) 2) -2) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (*.f64 -2 (+.f64 n f)) 2) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (*.f64 -2 (+.f64 n f)) -2) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) 4) (*.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(/.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (.f64 (-.f64 n f) (/.f64 -4 (-.f64 f n))))
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (/.f64 0 (-.f64 f n)) 1/4))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) (/.f64 1/2 (-.f64 n f))) 2)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) (*.f64 (/.f64 -4 (-.f64 f n)) 1/16)) 4)
(/.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (.f64 (-.f64 n f) (/.f64 -4 (-.f64 f n))))
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (/.f64 0 (-.f64 f n)) 1/4))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) (/.f64 -4 (-.f64 f n))) 1/4)
(/.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (.f64 (-.f64 n f) (/.f64 -4 (-.f64 f n))))
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (/.f64 0 (-.f64 f n)) 1/4))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) 8) (/.f64 1 (*.f64 (-.f64 f n) -8)))
(/.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (.f64 (-.f64 n f) (/.f64 -4 (-.f64 f n))))
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (/.f64 0 (-.f64 f n)) 1/4))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 1 (-.f64 n f))) 2)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) 2) (/.f64 1 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) 4) (/.f64 1/2 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 1/2 (-.f64 n f))) 4)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (.f64 (/.f64 -4 (-.f64 f n)) 1/16)) 8)
(/.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (.f64 (-.f64 n f) (/.f64 -4 (-.f64 f n))))
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (/.f64 0 (-.f64 f n)) 1/4))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) (/.f64 -4 (-.f64 f n))) 1/2)
(/.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (.f64 (-.f64 n f) (/.f64 -4 (-.f64 f n))))
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (/.f64 0 (-.f64 f n)) 1/4))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 2 (-.f64 f n))) 8) (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(/.f64 (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (.f64 (-.f64 n f) (/.f64 -4 (-.f64 f n))))
(-.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (/.f64 0 (-.f64 f n)) 1/4))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (-.f64 n f)) 2) (/.f64 2 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n))) (-.f64 n f)) (/.f64 2 (-.f64 n f))) 2)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (/.f64 (neg.f64 f) 2) (/.f64 n 2)) (/.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (-.f64 (neg.f64 f) (+.f64 n f)) n) (*.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (-.f64 (neg.f64 f) (+.f64 n n)) f) (*.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (.f64 n -2) (+.f64 f f)) (.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (.f64 f -2) (+.f64 n n)) (.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 (.f64 (+.f64 n f) 1/2)) (+.f64 (+.f64 n f) (.f64 (+.f64 n f) 1/2))) (*.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (-.f64 (neg.f64 n) (.f64 (+.f64 n f) 1/2)) (+.f64 f (.f64 (+.f64 n f) 1/2))) (*.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (-.f64 (neg.f64 f) (.f64 (+.f64 n f) 1/2)) (+.f64 n (.f64 (+.f64 n f) 1/2))) (*.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) (-.f64 n (-.f64 (neg.f64 f) n))) (*.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 n) (-.f64 f (-.f64 (neg.f64 f) n))) (*.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (-.f64 f n) (+.f64 f f)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (-.f64 n f) (+.f64 n n)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (/.f64 (-.f64 (neg.f64 f) n) 2) (*.f64 (+.f64 n f) 1/2)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (-.f64 (neg.f64 n) (/.f64 f 2)) (/.f64 f 2)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) (+.f64 (/.f64 f 2) (/.f64 f 2))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) (/.f64 (+.f64 f f) 2)) (-.f64 f n))
(/.f64 (-.f64 (*.f64 (/.f64 f 2) -2) n) (-.f64 f n))
(/.f64 (-.f64 (-.f64 (neg.f64 f) (/.f64 n 2)) (/.f64 n 2)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) (+.f64 (/.f64 n 2) (/.f64 n 2))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) (/.f64 (+.f64 n n) 2)) (-.f64 f n))
(/.f64 (-.f64 (*.f64 (/.f64 n 2) -2) f) (-.f64 f n))
(/.f64 (-.f64 (-.f64 (neg.f64 f) (/.f64 n 2)) (/.f64 n 2)) (-.f64 (-.f64 f (/.f64 n 2)) (/.f64 n 2)))
(/.f64 (-.f64 (neg.f64 f) (+.f64 (/.f64 n 2) (/.f64 n 2))) (-.f64 f (+.f64 (/.f64 n 2) (/.f64 n 2))))
(/.f64 (-.f64 (neg.f64 f) (/.f64 (+.f64 n n) 2)) (-.f64 f (/.f64 (+.f64 n n) 2)))
(/.f64 (-.f64 (*.f64 (/.f64 n 2) -2) f) (-.f64 f (/.f64 (+.f64 n n) 2)))
(/.f64 (-.f64 (neg.f64 (/.f64 f 2)) (+.f64 n (/.f64 f 2))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) (+.f64 (/.f64 f 2) (/.f64 f 2))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) (/.f64 (+.f64 f f) 2)) (-.f64 f n))
(/.f64 (-.f64 (*.f64 (/.f64 f 2) -2) n) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 (/.f64 n 2)) (+.f64 f (/.f64 n 2))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) (+.f64 (/.f64 n 2) (/.f64 n 2))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) (/.f64 (+.f64 n n) 2)) (-.f64 f n))
(/.f64 (-.f64 (*.f64 (/.f64 n 2) -2) f) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 (/.f64 n 2)) (-.f64 (/.f64 n 2) (neg.f64 f))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) (+.f64 (/.f64 n 2) (/.f64 n 2))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) (/.f64 (+.f64 n n) 2)) (-.f64 f n))
(/.f64 (-.f64 (*.f64 (/.f64 n 2) -2) f) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 (/.f64 f 2)) (-.f64 (/.f64 f 2) (neg.f64 n))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) (-.f64 (/.f64 f 2) (neg.f64 (/.f64 f 2)))) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) (*.f64 -2 (/.f64 f -2))) (-.f64 f n))
(/.f64 (-.f64 (/.f64 (/.f64 f -2) 1/2) n) (-.f64 f n))
(/.f64 (.f64 4 (.f64 2 (.f64 (+.f64 n f) 4))) (.f64 (*.f64 (-.f64 f n) -8) 4))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (.f64 8 (.f64 2 (.f64 (+.f64 n f) 4))) (.f64 (*.f64 (-.f64 f n) -8) 8))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (.f64 (-.f64 n f) (.f64 (+.f64 n f) 2)) (.f64 (.f64 (-.f64 n f) 2) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (.f64 (-.f64 n f) (.f64 (+.f64 n f) 4)) (.f64 (.f64 (-.f64 f n) -4) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (.f64 (-.f64 n f) (-.f64 (neg.f64 f) n)) (.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (*.f64 (-.f64 n f) (/.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (.f64 (-.f64 n f) (.f64 (+.f64 n f) (/.f64 2 (-.f64 n f)))) (*.f64 (-.f64 n f) 2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (.f64 (-.f64 n f) (.f64 (+.f64 n f) (/.f64 -4 (-.f64 f n)))) (*.f64 (-.f64 f n) -4))
(/.f64 (.f64 (/.f64 -4 (-.f64 f n)) (.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (-.f64 f n) -4))
(/.f64 (.f64 (+.f64 n f) (.f64 (-.f64 n f) (/.f64 -4 (-.f64 f n)))) (*.f64 (-.f64 f n) -4))
(/.f64 (.f64 4 (.f64 (+.f64 n f) (/.f64 (-.f64 n f) (-.f64 n f)))) (*.f64 (-.f64 f n) -4))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 n f) (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 (/.f64 1 (-.f64 n f)) 0)
(/.f64 1 (-.f64 n f))
(+.f64 0 (/.f64 1 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(+.f64 (/.f64 1/2 (-.f64 n f)) (/.f64 1/2 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(-.f64 (/.f64 1 (-.f64 n f)) 0)
(/.f64 1 (-.f64 n f))
(-.f64 (/.f64 1/2 (-.f64 n f)) (/.f64 (/.f64 1 (-.f64 f n)) 2))
(-.f64 (/.f64 1/2 (-.f64 n f)) (/.f64 1/2 (-.f64 f n)))
(*.f64 1 (/.f64 1 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) 1)
(/.f64 1 (-.f64 n f))
(*.f64 2 (/.f64 1/2 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 2 (-.f64 n f)) 1/2)
(/.f64 1 (-.f64 n f))
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(/.f64 -1 (-.f64 f n))
(*.f64 1/2 (/.f64 2 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1/2 (-.f64 n f)) 2)
(/.f64 1 (-.f64 n f))
(.f64 (.f64 (/.f64 -4 (-.f64 f n)) 1/16) 4)
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(/.f64 -1 (-.f64 f n))
(*.f64 (/.f64 -4 (-.f64 f n)) 1/4)
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(/.f64 -1 (-.f64 f n))
(.f64 8 (/.f64 1 (.f64 (-.f64 f n) -8)))
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(/.f64 -1 (-.f64 f n))
(.f64 8 (.f64 (*.f64 (/.f64 -4 (-.f64 f n)) 1/16) 1/2))
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(/.f64 -1 (-.f64 f n))
(.f64 8 (/.f64 2 (.f64 2 (*.f64 (-.f64 f n) -8))))
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(/.f64 -1 (-.f64 f n))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(/.f64 -1 (-.f64 f n))
(.f64 (/.f64 1 (.f64 (-.f64 f n) -8)) 8)
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(/.f64 -1 (-.f64 f n))
(.f64 (.f64 2 (/.f64 -4 (-.f64 f n))) 1/8)
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(/.f64 -1 (-.f64 f n))
(.f64 16 (/.f64 1/2 (.f64 (-.f64 f n) -8)))
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(/.f64 -1 (-.f64 f n))
(.f64 16 (/.f64 1 (.f64 2 (*.f64 (-.f64 f n) -8))))
(.f64 4 (.f64 (/.f64 -4 (-.f64 f n)) 1/16))
(*.f64 1/4 (/.f64 -4 (-.f64 f n)))
(/.f64 -1 (-.f64 f n))
(pow.f64 (/.f64 1 (-.f64 n f)) 1)
(/.f64 1 (-.f64 n f))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓	0.0b	(*.f64 2 (/.f64 f n))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series6.0ms (0%)

Counts

2 → 15

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(*.f64 2 (/.f64 f n))
1.0ms	f	@	0	(*.f64 2 (/.f64 f n))
1.0ms	n	@	0	(*.f64 2 (/.f64 f n))
1.0ms	n	@	inf	(*.f64 2 (/.f64 f n))
1.0ms	f	@	inf	(+.f64 (*.f64 2 (/.f64 f n)) 1)

rewrite319.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`rational_best-simplify-64`
796×	`rational_best-simplify-51`
750×	`rational_best-simplify-50`
718×	`rational_best-4`
718×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	64	32
2	141	32
3	396	32
4	1750	32

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(*.f64 2 (/.f64 f n))
(+.f64 (*.f64 2 (/.f64 f n)) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f n) (/.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 f n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (+.f64 n n)) (*.f64 3/2 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 (/.f64 f n)) (/.f64 f (+.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 3/2 (/.f64 f n)) 1) (neg.f64 (+.f64 1 (/.f64 f (*.f64 n -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 f (*.f64 n 4)) (/.f64 (neg.f64 f) n)) (-.f64 (/.f64 f (*.f64 n 4)) (/.f64 f (*.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f n) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 f n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -2 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (+.f64 n n)) (*.f64 -3/2 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3/2 (/.f64 f n)) (/.f64 f (*.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 f (*.f64 n 4)) (/.f64 f (*.f64 n -2))) (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f (*.f64 n 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 f (/.f64 n 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 f n) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 f f) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 f (+.f64 n n)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f 4) (+.f64 n n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f (/.f64 4 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f (/.f64 8 n)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 f 4)) (*.f64 n 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f -2) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 f (*.f64 n n)) (/.f64 1/2 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 f n) (/.f64 2 n)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f -4) (*.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 f 4) (*.f64 n n)) (/.f64 2 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 f f) 8) (*.f64 n 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f (+.f64 n n)) (*.f64 n n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 f 4)) (*.f64 2 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 f (/.f64 8 n))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 f n) 16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 f 4)) (*.f64 2 (*.f64 n 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f f) 1/2) (+.f64 n n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 f 4) 1/2) (*.f64 n 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 f 4) 1/2) (/.f64 (+.f64 n n) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 f 4) (*.f64 n n)) 8) (/.f64 2 (*.f64 n 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 f n) (*.f64 f n)) (*.f64 n n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 f (+.f64 n n)) (*.f64 f (+.f64 n n))) (*.f64 2 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 n (*.f64 f 4)) (*.f64 n (*.f64 f 4))) (*.f64 n (*.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 f (*.f64 n n)) n) (/.f64 (/.f64 f (*.f64 n n)) n)) (/.f64 (/.f64 1 n) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (/.f64 f n) (/.f64 2 n)) n) (/.f64 (*.f64 (/.f64 f n) (/.f64 2 n)) n)) (/.f64 (/.f64 2 n) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 f f) 8) (*.f64 (+.f64 f f) 8)) (*.f64 2 (*.f64 n 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 f 4) (*.f64 n n)) (/.f64 (*.f64 f 4) (*.f64 n n))) (/.f64 4 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 f (*.f64 n n)) (+.f64 n n)) (/.f64 (/.f64 f (*.f64 n n)) (+.f64 n n))) (/.f64 (/.f64 1/2 n) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n n) (*.f64 f 4)) (*.f64 n (*.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 4) (*.f64 2 (*.f64 f 4))) (*.f64 (*.f64 n 4) (*.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 2 (*.f64 f 4))) (*.f64 2 (*.f64 n 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 2 (*.f64 f 4))) (*.f64 (*.f64 n 4) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n n) (*.f64 f (/.f64 4 n))) (*.f64 n 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 4) (*.f64 f (/.f64 8 n))) (*.f64 2 (*.f64 n 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 f (*.f64 n n))) (*.f64 (/.f64 1/2 n) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 f 4) (*.f64 n n))) (/.f64 4 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (*.f64 f (/.f64 8 n)) n)) (*.f64 (/.f64 4 n) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 f n)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 n 2) f) (*.f64 (/.f64 n 2) (/.f64 n 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 n) (*.f64 (/.f64 f n) (/.f64 2 n))) (*.f64 (/.f64 1 n) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 n 2) (+.f64 f f)) (*.f64 n (/.f64 n 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n n) (*.f64 2 (*.f64 f 4))) (*.f64 n (*.f64 n 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 4) (*.f64 (+.f64 f f) 8)) (*.f64 (*.f64 n 8) (*.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 2 (*.f64 f 4))) (*.f64 n -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 f 4) (/.f64 8 n)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 f 4)) (/.f64 4 n)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 8 n) (*.f64 f 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 f 4)) (/.f64 1 n)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 f (*.f64 n n)) n) 2) (*.f64 (/.f64 1 n) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 f n)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f n) (-.f64 -1 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (+.f64 n n)) (-.f64 0 (+.f64 (*.f64 3/2 (/.f64 f n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3/2 (/.f64 f n)) (+.f64 -1 (/.f64 f (*.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 f n) 1/2) (/.f64 (-.f64 -1 (*.f64 2 (/.f64 f n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 f n) 1) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 3/2 (/.f64 f n)) 1) (/.f64 f (*.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 f (/.f64 4 n)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 f (/.f64 4 n)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 f (/.f64 4 n)) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (-.f64 (*.f64 f (/.f64 4 n)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 f (/.f64 4 n)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 f (/.f64 4 n)) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 f (/.f64 4 n)) -2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) 1)))))

simplify618.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

978×	`rational_best-simplify-65`
898×	`rational_best-simplify-50`
876×	`rational_best-simplify-1`
818×	`rational_best-simplify-64`
792×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2284
1	725	2150
2	2691	1970

Stop Event

1×	node limit

Counts

104 → 123

Calls

Call 1

Inputs
1
(*.f64 2 (/.f64 f n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(*.f64 2 (/.f64 f n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(*.f64 2 (/.f64 f n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
1
1
(+.f64 (/.f64 f n) (/.f64 f n))
(+.f64 (*.f64 2 (/.f64 f n)) 0)
(+.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) -1)
(+.f64 0 (*.f64 2 (/.f64 f n)))
(+.f64 (/.f64 f (+.f64 n n)) (*.f64 3/2 (/.f64 f n)))
(+.f64 (*.f64 3/2 (/.f64 f n)) (/.f64 f (+.f64 n n)))
(+.f64 (+.f64 (.f64 3/2 (/.f64 f n)) 1) (neg.f64 (+.f64 1 (/.f64 f (.f64 n -2)))))
(+.f64 (-.f64 (/.f64 f (.f64 n 4)) (/.f64 (neg.f64 f) n)) (-.f64 (/.f64 f (.f64 n 4)) (/.f64 f (*.f64 n -2))))
(-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n))
(-.f64 (*.f64 2 (/.f64 f n)) 0)
(-.f64 0 (*.f64 -2 (/.f64 f n)))
(-.f64 (/.f64 f (+.f64 n n)) (*.f64 -3/2 (/.f64 f n)))
(-.f64 (.f64 3/2 (/.f64 f n)) (/.f64 f (.f64 n -2)))
(-.f64 (-.f64 (/.f64 f (.f64 n 4)) (/.f64 f (.f64 n -2))) (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f (*.f64 n 4))))
(/.f64 f (/.f64 n 2))
(/.f64 (/.f64 f n) 1/2)
(/.f64 (*.f64 2 (/.f64 f n)) 1)
(/.f64 (+.f64 f f) n)
(/.f64 (/.f64 f (+.f64 n n)) 1/4)
(/.f64 (*.f64 f 4) (+.f64 n n))
(/.f64 (*.f64 f (/.f64 4 n)) 2)
(/.f64 (*.f64 f (/.f64 8 n)) 4)
(/.f64 (.f64 2 (.f64 f 4)) (*.f64 n 4))
(/.f64 (*.f64 f -2) (neg.f64 n))
(/.f64 (/.f64 f (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (*.f64 (/.f64 f n) (/.f64 2 n)) (/.f64 1 n))
(/.f64 (.f64 f -4) (.f64 n -2))
(/.f64 (/.f64 (.f64 f 4) (.f64 n n)) (/.f64 2 n))
(/.f64 (.f64 (+.f64 f f) 8) (.f64 n 8))
(/.f64 (.f64 f (+.f64 n n)) (.f64 n n))
(/.f64 (.f64 n (.f64 f 4)) (.f64 2 (.f64 n n)))
(/.f64 (.f64 4 (.f64 f (/.f64 8 n))) 16)
(/.f64 (*.f64 (/.f64 f n) 16) 8)
(/.f64 (.f64 8 (.f64 f 4)) (.f64 2 (.f64 n 8)))
(/.f64 (/.f64 (+.f64 f f) 1/2) (+.f64 n n))
(/.f64 (/.f64 (.f64 f 4) 1/2) (.f64 n 4))
(/.f64 (/.f64 (*.f64 f 4) 1/2) (/.f64 (+.f64 n n) 1/2))
(/.f64 (/.f64 (/.f64 (.f64 f 4) (.f64 n n)) 8) (/.f64 2 (*.f64 n 8)))
(/.f64 (+.f64 (.f64 f n) (.f64 f n)) (*.f64 n n))
(/.f64 (+.f64 (.f64 f (+.f64 n n)) (.f64 f (+.f64 n n))) (.f64 2 (.f64 n n)))
(/.f64 (+.f64 (.f64 n (.f64 f 4)) (.f64 n (.f64 f 4))) (.f64 n (.f64 n 4)))
(/.f64 (+.f64 (/.f64 (/.f64 f (.f64 n n)) n) (/.f64 (/.f64 f (.f64 n n)) n)) (/.f64 (/.f64 1 n) n))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 f n) (/.f64 2 n)) n) (/.f64 (.f64 (/.f64 f n) (/.f64 2 n)) n)) (/.f64 (/.f64 2 n) n))
(/.f64 (+.f64 (.f64 (+.f64 f f) 8) (.f64 (+.f64 f f) 8)) (.f64 2 (.f64 n 8)))
(/.f64 (+.f64 (/.f64 (.f64 f 4) (.f64 n n)) (/.f64 (.f64 f 4) (.f64 n n))) (/.f64 4 n))
(/.f64 (+.f64 (/.f64 (/.f64 f (.f64 n n)) (+.f64 n n)) (/.f64 (/.f64 f (.f64 n n)) (+.f64 n n))) (/.f64 (/.f64 1/2 n) n))
(/.f64 (.f64 (+.f64 n n) (.f64 f 4)) (.f64 n (.f64 n 4)))
(/.f64 (.f64 (.f64 n 4) (.f64 2 (.f64 f 4))) (.f64 (.f64 n 4) (*.f64 n 4)))
(/.f64 (.f64 4 (.f64 2 (.f64 f 4))) (.f64 2 (*.f64 n 8)))
(/.f64 (.f64 8 (.f64 2 (.f64 f 4))) (.f64 (*.f64 n 4) 8))
(/.f64 (.f64 (+.f64 n n) (.f64 f (/.f64 4 n))) (*.f64 n 4))
(/.f64 (.f64 (.f64 n 4) (.f64 f (/.f64 8 n))) (.f64 2 (*.f64 n 8)))
(/.f64 (.f64 1/2 (/.f64 f (.f64 n n))) (*.f64 (/.f64 1/2 n) 1/2))
(/.f64 (.f64 2 (/.f64 (.f64 f 4) (*.f64 n n))) (/.f64 4 n))
(/.f64 (.f64 4 (/.f64 (.f64 f (/.f64 8 n)) n)) (*.f64 (/.f64 4 n) 4))
(/.f64 (*.f64 1/2 (/.f64 f n)) 1/4)
(/.f64 (.f64 (/.f64 n 2) f) (.f64 (/.f64 n 2) (/.f64 n 2)))
(/.f64 (.f64 (/.f64 1 n) (.f64 (/.f64 f n) (/.f64 2 n))) (*.f64 (/.f64 1 n) (/.f64 1 n)))
(/.f64 (.f64 (/.f64 n 2) (+.f64 f f)) (.f64 n (/.f64 n 2)))
(/.f64 (.f64 (+.f64 n n) (.f64 2 (.f64 f 4))) (.f64 n (*.f64 n 8)))
(/.f64 (.f64 (.f64 n 4) (.f64 (+.f64 f f) 8)) (.f64 (.f64 n 8) (.f64 n 4)))
(/.f64 (-.f64 0 (.f64 2 (.f64 f 4))) (*.f64 n -4))
(/.f64 (.f64 (.f64 f 4) (/.f64 8 n)) 16)
(/.f64 (.f64 (.f64 2 (*.f64 f 4)) (/.f64 4 n)) 16)
(/.f64 (.f64 (/.f64 8 n) (.f64 f 4)) 16)
(/.f64 (.f64 (.f64 2 (*.f64 f 4)) (/.f64 1 n)) 4)
(/.f64 (.f64 (/.f64 (/.f64 f (.f64 n n)) n) 2) (*.f64 (/.f64 1 n) (/.f64 1 n)))
(pow.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (/.f64 f n) (-.f64 -1 (/.f64 f n)))
(-.f64 (*.f64 2 (/.f64 f n)) -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) 0)
(-.f64 0 (-.f64 -1 (*.f64 2 (/.f64 f n))))
(-.f64 (/.f64 f (+.f64 n n)) (-.f64 0 (+.f64 (*.f64 3/2 (/.f64 f n)) 1)))
(-.f64 (.f64 3/2 (/.f64 f n)) (+.f64 -1 (/.f64 f (.f64 n -2))))
(-.f64 (+.f64 (/.f64 f n) 1/2) (/.f64 (-.f64 -1 (*.f64 2 (/.f64 f n))) 2))
(-.f64 (+.f64 (/.f64 f n) 1) (/.f64 (neg.f64 f) n))
(-.f64 (+.f64 (.f64 3/2 (/.f64 f n)) 1) (/.f64 f (.f64 n -2)))
(.f64 2 (.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) 1/2))
(.f64 1 (+.f64 (.f64 2 (/.f64 f n)) 1))
(.f64 (+.f64 (.f64 2 (/.f64 f n)) 1) 1)
(.f64 (-.f64 (.f64 f (/.f64 4 n)) -2) 1/2)
(.f64 1/2 (-.f64 (.f64 f (/.f64 4 n)) -2))
(.f64 (.f64 2 (-.f64 (*.f64 f (/.f64 4 n)) -2)) 1/4)
(.f64 1/4 (.f64 2 (-.f64 (*.f64 f (/.f64 4 n)) -2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) 1)
(/.f64 (-.f64 (*.f64 f (/.f64 4 n)) -2) 2)
(/.f64 (.f64 2 (-.f64 (.f64 f (/.f64 4 n)) -2)) 4)
(/.f64 (.f64 (-.f64 (.f64 f (/.f64 4 n)) -2) 4) 8)
(pow.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) 1)

Outputs
1
(*.f64 2 (/.f64 f n))
(*.f64 f (/.f64 2 n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
(*.f64 2 (/.f64 f n))
(*.f64 f (/.f64 2 n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
(*.f64 2 (/.f64 f n))
(*.f64 f (/.f64 2 n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 f (/.f64 2 n)))
1
1
(+.f64 (/.f64 f n) (/.f64 f n))
(*.f64 2 (/.f64 f n))
(*.f64 f (/.f64 2 n))
(+.f64 (*.f64 2 (/.f64 f n)) 0)
(*.f64 2 (/.f64 f n))
(*.f64 f (/.f64 2 n))
(+.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) -1)
(*.f64 2 (/.f64 f n))
(*.f64 f (/.f64 2 n))
(+.f64 0 (*.f64 2 (/.f64 f n)))
(*.f64 2 (/.f64 f n))
(*.f64 f (/.f64 2 n))
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(pow.f64 (*.f64 2 (/.f64 f n)) 1)
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(.f64 (.f64 2 (-.f64 (*.f64 f (/.f64 4 n)) -2)) 1/4)
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(pow.f64 (+.f64 (*.f64 2 (/.f64 f n)) 1) 1)
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localize28.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -2 (/.f64 n f))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series6.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	n	@	-inf	(*.f64 -2 (/.f64 n f))
1.0ms	n	@	inf	(*.f64 -2 (/.f64 n f))
1.0ms	n	@	0	(*.f64 -2 (/.f64 n f))
1.0ms	f	@	0	(*.f64 -2 (/.f64 n f))
1.0ms	f	@	inf	(*.f64 -2 (/.f64 n f))

rewrite386.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`rational_best-simplify-82`
782×	`rational_best-simplify-64`
758×	`rational_best-simplify-50`
654×	`rational_best-4`
654×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	50	13
2	121	13
3	367	13
4	1637	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 n f))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 n) f) (/.f64 (neg.f64 n) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (*.f64 -2 f)) (*.f64 -3/2 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3/2 (/.f64 n f)) (/.f64 n (*.f64 -2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 n (*.f64 f 4))) (neg.f64 (/.f64 (*.f64 3/2 (/.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n f) (*.f64 (/.f64 n f) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (/.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 n (/.f64 f 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 n) f) (/.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (*.f64 -2 f)) (*.f64 3/2 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (*.f64 f -4)) (-.f64 (/.f64 (*.f64 3/2 (/.f64 n f)) 2) (/.f64 (neg.f64 n) f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n (/.f64 f 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (/.f64 -4 f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (/.f64 -8 f)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n n) (/.f64 -8 f)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 4) (/.f64 -8 f)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -8 f) (*.f64 n 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 n n) 4) (/.f64 -4 f)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -4 f) (*.f64 (+.f64 n n) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 n n) 4) (/.f64 -1 f)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 n (*.f64 f f)) f) -2) (*.f64 (/.f64 1 f) (/.f64 1 f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 n (/.f64 f 2)))))))

simplify246.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational_best-simplify-55`
780×	`rational_best-simplify-64`
766×	`rational_best-simplify-63`
736×	`rational_best-simplify-65`
682×	`rational_best-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	501
1	209	495
2	585	495
3	2039	479

Stop Event

1×	node limit

Counts

25 → 41

Calls

Call 1

Inputs
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(+.f64 0 (*.f64 -2 (/.f64 n f)))
(+.f64 (/.f64 (neg.f64 n) f) (/.f64 (neg.f64 n) f))
(+.f64 (/.f64 n (.f64 -2 f)) (.f64 -3/2 (/.f64 n f)))
(+.f64 (.f64 -3/2 (/.f64 n f)) (/.f64 n (.f64 -2 f)))
(+.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 n (.f64 f 4))) (neg.f64 (/.f64 (.f64 3/2 (/.f64 n f)) 2)))
(-.f64 (/.f64 n f) (*.f64 (/.f64 n f) 3))
(-.f64 (*.f64 -2 (/.f64 n f)) 0)
(-.f64 0 (/.f64 n (/.f64 f 2)))
(-.f64 (/.f64 (neg.f64 n) f) (/.f64 n f))
(-.f64 (/.f64 n (.f64 -2 f)) (.f64 3/2 (/.f64 n f)))
(-.f64 (/.f64 n (.f64 f -4)) (-.f64 (/.f64 (.f64 3/2 (/.f64 n f)) 2) (/.f64 (neg.f64 n) f)))
(/.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 (/.f64 n (/.f64 f 2)) -1)
(/.f64 (*.f64 n (/.f64 -4 f)) 2)
(/.f64 (*.f64 n (/.f64 -8 f)) 4)
(/.f64 (*.f64 (+.f64 n n) (/.f64 -8 f)) 8)
(/.f64 (.f64 (.f64 n 4) (/.f64 -8 f)) 16)
(/.f64 (.f64 (/.f64 -8 f) (.f64 n 4)) 16)
(/.f64 (.f64 (.f64 (+.f64 n n) 4) (/.f64 -4 f)) 16)
(/.f64 (.f64 (/.f64 -4 f) (.f64 (+.f64 n n) 4)) 16)
(/.f64 (.f64 (.f64 (+.f64 n n) 4) (/.f64 -1 f)) 4)
(/.f64 (.f64 (/.f64 (/.f64 n (.f64 f f)) f) -2) (*.f64 (/.f64 1 f) (/.f64 1 f)))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(neg.f64 (/.f64 n (/.f64 f 2)))

Outputs
(+.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(+.f64 0 (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (/.f64 n f))
(+.f64 (/.f64 (neg.f64 n) f) (/.f64 (neg.f64 n) f))
(*.f64 -2 (/.f64 n f))
(+.f64 (/.f64 n (.f64 -2 f)) (.f64 -3/2 (/.f64 n f)))
(+.f64 (/.f64 n (.f64 -2 f)) (.f64 n (/.f64 -3/2 f)))
(-.f64 (*.f64 n (/.f64 -3/2 f)) (/.f64 (/.f64 n f) 2))
(-.f64 (.f64 n (/.f64 -3/2 f)) (.f64 (/.f64 n f) 1/2))
(+.f64 (.f64 -3/2 (/.f64 n f)) (/.f64 n (.f64 -2 f)))
(+.f64 (/.f64 n (.f64 -2 f)) (.f64 n (/.f64 -3/2 f)))
(-.f64 (*.f64 n (/.f64 -3/2 f)) (/.f64 (/.f64 n f) 2))
(-.f64 (.f64 n (/.f64 -3/2 f)) (.f64 (/.f64 n f) 1/2))
(+.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 n (.f64 f 4))) (neg.f64 (/.f64 (.f64 3/2 (/.f64 n f)) 2)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 (/.f64 n (.f64 f 4)) (/.f64 (.f64 n (/.f64 3/2 f)) 2)))
(-.f64 (/.f64 (neg.f64 n) f) (/.f64 (+.f64 (/.f64 n f) (*.f64 n (/.f64 3 f))) 4))
(+.f64 (/.f64 (-.f64 (neg.f64 n) (/.f64 n 4)) f) (.f64 (.f64 n (/.f64 3 f)) -1/4))
(+.f64 (.f64 -5 (/.f64 n (.f64 f 4))) (.f64 (.f64 (/.f64 n f) 3/2) -1/2))
(-.f64 (/.f64 n f) (*.f64 (/.f64 n f) 3))
(-.f64 (/.f64 n f) (*.f64 n (/.f64 3 f)))
(-.f64 (*.f64 -2 (/.f64 n f)) 0)
(*.f64 -2 (/.f64 n f))
(-.f64 0 (/.f64 n (/.f64 f 2)))
(*.f64 -2 (/.f64 n f))
(-.f64 (/.f64 (neg.f64 n) f) (/.f64 n f))
(*.f64 -2 (/.f64 n f))
(-.f64 (/.f64 n (.f64 -2 f)) (.f64 3/2 (/.f64 n f)))
(-.f64 (/.f64 n (.f64 -2 f)) (.f64 n (/.f64 3/2 f)))
(-.f64 (/.f64 n (.f64 -2 f)) (.f64 (/.f64 n f) 3/2))
(-.f64 (/.f64 n (.f64 f -4)) (-.f64 (/.f64 (.f64 3/2 (/.f64 n f)) 2) (/.f64 (neg.f64 n) f)))
(-.f64 (/.f64 (neg.f64 n) f) (-.f64 (/.f64 (.f64 n (/.f64 3/2 f)) 2) (/.f64 n (.f64 f -4))))
(-.f64 (/.f64 n (neg.f64 f)) (-.f64 (/.f64 (.f64 (/.f64 n f) 3/2) 2) (/.f64 n (.f64 f -4))))
(/.f64 (*.f64 -2 (/.f64 n f)) 1)
(*.f64 -2 (/.f64 n f))
(/.f64 (/.f64 n (/.f64 f 2)) -1)
(*.f64 -2 (/.f64 n f))
(/.f64 (*.f64 n (/.f64 -4 f)) 2)
(*.f64 -2 (/.f64 n f))
(/.f64 (*.f64 n (/.f64 -8 f)) 4)
(*.f64 -2 (/.f64 n f))
(/.f64 (*.f64 (+.f64 n n) (/.f64 -8 f)) 8)
(*.f64 -2 (/.f64 n f))
(/.f64 (.f64 (.f64 n 4) (/.f64 -8 f)) 16)
(*.f64 -2 (/.f64 n f))
(/.f64 (.f64 (/.f64 -8 f) (.f64 n 4)) 16)
(*.f64 -2 (/.f64 n f))
(/.f64 (.f64 (.f64 (+.f64 n n) 4) (/.f64 -4 f)) 16)
(*.f64 -2 (/.f64 n f))
(/.f64 (.f64 (/.f64 -4 f) (.f64 (+.f64 n n) 4)) 16)
(*.f64 -2 (/.f64 n f))
(/.f64 (.f64 (.f64 (+.f64 n n) 4) (/.f64 -1 f)) 4)
(*.f64 -2 (/.f64 n f))
(/.f64 (.f64 (/.f64 (/.f64 n (.f64 f f)) f) -2) (*.f64 (/.f64 1 f) (/.f64 1 f)))
(/.f64 (.f64 -2 (/.f64 (/.f64 n f) (.f64 f f))) (/.f64 1 (*.f64 f f)))
(.f64 -2 (/.f64 (/.f64 (/.f64 n f) (.f64 f f)) (/.f64 1 (*.f64 f f))))
(-.f64 (.f64 -2 (/.f64 n f)) (/.f64 0 (.f64 f f)))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(*.f64 -2 (/.f64 n f))
(neg.f64 (/.f64 n (/.f64 f 2)))
(*.f64 -2 (/.f64 n f))

localize39.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 f (-.f64 f n))
✓	0.0b	(/.f64 n (-.f64 n f))
✓	0.0b	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

Compiler

Compiled 31 to 7 computations (77.4% saved)

series22.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	n	@	inf	(/.f64 f (-.f64 f n))
1.0ms	f	@	inf	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
1.0ms	n	@	inf	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
0.0ms	n	@	-inf	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
0.0ms	f	@	-inf	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

rewrite709.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1742×	`rational_best-4`
1742×	`rational_best-2`
1742×	`rational_best-3`
1742×	`rational_best-1`
418×	`rational_best-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	62	57
2	168	49
3	683	45
4	5284	45

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
(/.f64 f (-.f64 f n))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (-.f64 n f)) (neg.f64 (/.f64 n (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (*.f64 (-.f64 n f) 2)) (/.f64 (-.f64 n (*.f64 -2 f)) (*.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 n f) (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 -2 n) f) (*.f64 (-.f64 n f) -2)) (/.f64 f (*.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) (/.f64 (-.f64 (*.f64 -2 n) f) (*.f64 (-.f64 n f) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) (neg.f64 (/.f64 (-.f64 f (*.f64 -2 n)) (*.f64 (-.f64 n f) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) (/.f64 (/.f64 (+.f64 n (+.f64 n f)) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 n (*.f64 -2 f)) (*.f64 (-.f64 n f) 2)) (/.f64 n (*.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 n (*.f64 -2 f)) (*.f64 (-.f64 n f) 2)) (neg.f64 (/.f64 n (*.f64 (-.f64 n f) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) (-.f64 (/.f64 n (-.f64 n f)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) (neg.f64 (-.f64 0 (-.f64 (/.f64 n (-.f64 n f)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 n n) (-.f64 n f)) (/.f64 f (-.f64 f n))) (/.f64 n (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 n (-.f64 f n))) (-.f64 1 (/.f64 f (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 n f) (-.f64 f n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 f (-.f64 f n))) (-.f64 1 (/.f64 n (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 n f) (-.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 f) n) (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (-.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) (/.f64 (-.f64 n f) (*.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 n f) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (neg.f64 f) n) (*.f64 (-.f64 n f) 2)) (/.f64 (-.f64 f n) (*.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) (*.f64 2 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 n f) (+.f64 n f)) (*.f64 (-.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (neg.f64 f) n) (-.f64 (neg.f64 f) n)) (*.f64 (-.f64 n f) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 n n) (*.f64 -2 f)) (*.f64 (-.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 n) (+.f64 f f)) (*.f64 (-.f64 n f) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 n 4) (-.f64 n f)) (/.f64 (*.f64 f 4) (-.f64 f n))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n f)) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) 2)) (/.f64 1/2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) (-.f64 n f)) (/.f64 2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) (*.f64 (-.f64 n f) 2)) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) (-.f64 n f)) (/.f64 4 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) (*.f64 (-.f64 n f) 2)) (/.f64 2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 n f) (-.f64 f n)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (*.f64 (-.f64 n f) 2)) (/.f64 n (*.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 n (*.f64 (-.f64 n f) 2)) 2) (/.f64 (/.f64 (*.f64 n 3) (*.f64 (-.f64 n f) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (*.f64 (-.f64 n f) 4)) (/.f64 (*.f64 n 3) (*.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (-.f64 n f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 n (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 n (*.f64 (-.f64 n f) 2)) (/.f64 n (*.f64 (-.f64 n f) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 n n) (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 n 3) (*.f64 (-.f64 n f) 2)) 2) (/.f64 (/.f64 n (*.f64 (-.f64 n f) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 n 3) (*.f64 (-.f64 n f) 4)) (/.f64 (neg.f64 n) (*.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 n f) (/.f64 n (*.f64 (-.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n n) (/.f64 1/2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 n) (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 n) (/.f64 -1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 n n) (-.f64 n f)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n 4) (/.f64 1 (*.f64 (-.f64 n f) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 n (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 n n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 f n)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 n f)) (+.f64 n n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 n f) 4)) (*.f64 n 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (-.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 n)) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 n) (/.f64 1/2 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n 4) (-.f64 n f)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 n 4)) (/.f64 1 (*.f64 2 (*.f64 (-.f64 n f) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 1 (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 1 (/.f64 2 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 n f) n) (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 n f) (+.f64 n n)) (/.f64 (/.f64 1/2 (-.f64 n f)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 n f) (/.f64 n (-.f64 n f))) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 n f) (neg.f64 n)) (/.f64 (/.f64 1 (-.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 n f) (/.f64 (+.f64 n n) (-.f64 n f))) (/.f64 1/2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 n f) (*.f64 n 4)) (/.f64 (/.f64 1 (*.f64 (-.f64 n f) 4)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 n f)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (-.f64 f n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 f (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (*.f64 (-.f64 n f) -2)) (/.f64 f (*.f64 (-.f64 n f) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 f (*.f64 (-.f64 n f) -2)) 2) (/.f64 (/.f64 (*.f64 f 3) (*.f64 (-.f64 n f) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (*.f64 (-.f64 f n) 4)) (/.f64 (*.f64 f 3) (*.f64 (-.f64 f n) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (-.f64 f n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (*.f64 (-.f64 n f) -2)) (/.f64 f (*.f64 (-.f64 n f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) (/.f64 f (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 f 3) (*.f64 (-.f64 n f) -2)) 2) (/.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 f 3) (*.f64 (-.f64 f n) 4)) (/.f64 (neg.f64 f) (*.f64 (-.f64 f n) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 f (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 f n) (/.f64 f (*.f64 (-.f64 f n) (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 f (-.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 f (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f f) (/.f64 1/2 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 f) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 f) (/.f64 -1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 f (-.f64 n f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 f 4) (/.f64 1 (*.f64 (-.f64 f n) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 f (/.f64 (-.f64 n f) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 f n)) f)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 f n)) (+.f64 f f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 f n) 4)) (*.f64 f 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 f)) (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 f) (/.f64 1/2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 f 4) (-.f64 f n)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 f 4)) (/.f64 1 (*.f64 2 (*.f64 (-.f64 f n) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 f (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 1 (/.f64 1 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) (-.f64 f n)) (/.f64 1 (/.f64 2 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 f n) f) (/.f64 (/.f64 1 (-.f64 f n)) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 f n) (+.f64 f f)) (/.f64 (/.f64 1/2 (-.f64 f n)) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 f n) (/.f64 f (-.f64 f n))) (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 f n) (neg.f64 f)) (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 f n) (/.f64 f (/.f64 (-.f64 n f) -2))) (/.f64 1/2 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 f n) (*.f64 f 4)) (/.f64 (/.f64 1 (*.f64 (-.f64 f n) 4)) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 f (-.f64 f n)) 1)))))

simplify760.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational_best-simplify-47`
1240×	`rational_best-simplify-1`
996×	`rational_best-simplify-67`
916×	`rational_best-simplify-63`
776×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	5651
1	1129	5341
2	3848	5305

Stop Event

1×	node limit

Counts

203 → 236

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1)) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1)) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (.f64 -1 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(*.f64 -1 (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (.f64 -1 (/.f64 n f)))))
(*.f64 -1 (/.f64 f n))
(+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 -1 (/.f64 f n)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 f n))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 4) (pow.f64 n 4))) (.f64 -1 (/.f64 f n)))))
1
(+.f64 1 (/.f64 n f))
(+.f64 1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(+.f64 1 (+.f64 (/.f64 n f) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
1
(+.f64 1 (/.f64 n f))
(+.f64 1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(+.f64 1 (+.f64 (/.f64 n f) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
1
(+.f64 1 (/.f64 n f))
(+.f64 1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(+.f64 1 (+.f64 (/.f64 n f) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(*.f64 -1 (/.f64 f n))
(+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 -1 (/.f64 f n)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 f n))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 4) (pow.f64 n 4))) (.f64 -1 (/.f64 f n)))))
(*.f64 -1 (/.f64 f n))
(+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 -1 (/.f64 f n)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 f n))))
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(+.f64 (/.f64 (-.f64 n (.f64 -2 f)) (.f64 (-.f64 n f) 2)) (neg.f64 (/.f64 n (*.f64 (-.f64 n f) -2))))
(+.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) (-.f64 (/.f64 n (-.f64 n f)) 1/2))
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(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) -1)
(.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) 1/2)
(.f64 1/2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(.f64 (.f64 2 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) 1/4)
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 1 (-.f64 f n)))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) -1)
(/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) 2)
(/.f64 (.f64 2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) 4)
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1/2)
(/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) (/.f64 (-.f64 n f) (*.f64 (-.f64 n f) 2)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (.f64 (-.f64 n f) 2)) (/.f64 (-.f64 f n) (.f64 (-.f64 n f) 2)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) (.f64 2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))) 8)
(/.f64 (+.f64 (+.f64 n f) (+.f64 n f)) (*.f64 (-.f64 n f) 2))
(/.f64 (+.f64 (-.f64 (neg.f64 f) n) (-.f64 (neg.f64 f) n)) (*.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (+.f64 n n) (.f64 -2 f)) (.f64 (-.f64 n f) 2))
(/.f64 (-.f64 (.f64 -2 n) (+.f64 f f)) (.f64 (-.f64 n f) -2))
(/.f64 (-.f64 (/.f64 (.f64 n 4) (-.f64 n f)) (/.f64 (.f64 f 4) (-.f64 f n))) 4)
(/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n f)) (/.f64 1 (-.f64 n f)))
(/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) 2)) (/.f64 1/2 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) (-.f64 n f)) (/.f64 2 (-.f64 n f)))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) (.f64 (-.f64 n f) 2)) (/.f64 1 (-.f64 n f)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) (-.f64 n f)) (/.f64 4 (-.f64 n f)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) (*.f64 (-.f64 n f) 2)) (/.f64 2 (-.f64 n f)))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(neg.f64 (/.f64 (+.f64 n f) (-.f64 f n)))
(+.f64 (/.f64 n (-.f64 n f)) 0)
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(+.f64 (/.f64 (/.f64 n (.f64 (-.f64 n f) 2)) 2) (/.f64 (/.f64 (.f64 n 3) (*.f64 (-.f64 n f) 2)) 2))
(+.f64 (/.f64 n (.f64 (-.f64 n f) 4)) (/.f64 (.f64 n 3) (*.f64 (-.f64 n f) 4)))
(-.f64 (/.f64 n (-.f64 n f)) 0)
(-.f64 0 (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (/.f64 n (.f64 (-.f64 n f) -2)))
(-.f64 (/.f64 (+.f64 n n) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(-.f64 (/.f64 (/.f64 (.f64 n 3) (.f64 (-.f64 n f) 2)) 2) (/.f64 (/.f64 n (*.f64 (-.f64 n f) -2)) 2))
(-.f64 (/.f64 (.f64 n 3) (.f64 (-.f64 n f) 4)) (/.f64 (neg.f64 n) (*.f64 (-.f64 n f) 4)))
(*.f64 n (/.f64 1 (-.f64 n f)))
(.f64 (-.f64 n f) (/.f64 n (.f64 (-.f64 n f) (-.f64 n f))))
(*.f64 (/.f64 n (-.f64 n f)) 1)
(*.f64 1 (/.f64 n (-.f64 n f)))
(*.f64 (+.f64 n n) (/.f64 1/2 (-.f64 n f)))
(*.f64 (neg.f64 n) (/.f64 1 (-.f64 f n)))
(*.f64 (neg.f64 n) (/.f64 -1 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 n n) (-.f64 n f)) 1/2)
(.f64 (.f64 n 4) (/.f64 1 (*.f64 (-.f64 n f) 4)))
(*.f64 -1 (/.f64 n (-.f64 f n)))
(*.f64 1/2 (/.f64 (+.f64 n n) (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 f n)) (neg.f64 n))
(*.f64 (/.f64 1 (-.f64 n f)) n)
(*.f64 (/.f64 1/2 (-.f64 n f)) (+.f64 n n))
(.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (*.f64 n 4))
(*.f64 (/.f64 n (-.f64 f n)) -1)
(*.f64 (neg.f64 (neg.f64 n)) (/.f64 1 (-.f64 n f)))
(.f64 (.f64 -2 n) (/.f64 1/2 (-.f64 f n)))
(.f64 (/.f64 (.f64 n 4) (-.f64 n f)) 1/4)
(.f64 (.f64 2 (.f64 n 4)) (/.f64 1 (.f64 2 (*.f64 (-.f64 n f) 4))))
(.f64 (/.f64 n (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 1 (/.f64 1 (-.f64 n f))))
(.f64 (/.f64 (+.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 1 (/.f64 2 (-.f64 n f))))
(.f64 (.f64 (-.f64 n f) n) (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (+.f64 n n)) (/.f64 (/.f64 1/2 (-.f64 n f)) (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (/.f64 n (-.f64 n f))) (/.f64 1 (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (neg.f64 n)) (/.f64 (/.f64 1 (-.f64 f n)) (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (/.f64 (+.f64 n n) (-.f64 n f))) (/.f64 1/2 (-.f64 n f)))
(.f64 (.f64 (-.f64 n f) (.f64 n 4)) (/.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (-.f64 n f)))
(pow.f64 (/.f64 n (-.f64 n f)) 1)
(+.f64 (/.f64 f (-.f64 f n)) 0)
(+.f64 0 (/.f64 f (-.f64 f n)))
(+.f64 (/.f64 f (.f64 (-.f64 n f) -2)) (/.f64 f (.f64 (-.f64 n f) -2)))
(+.f64 (/.f64 (/.f64 f (.f64 (-.f64 n f) -2)) 2) (/.f64 (/.f64 (.f64 f 3) (*.f64 (-.f64 n f) -2)) 2))
(+.f64 (/.f64 f (.f64 (-.f64 f n) 4)) (/.f64 (.f64 f 3) (*.f64 (-.f64 f n) 4)))
(-.f64 (/.f64 f (-.f64 f n)) 0)
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(-.f64 (/.f64 f (.f64 (-.f64 n f) -2)) (/.f64 f (.f64 (-.f64 n f) 2)))
(-.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (.f64 f 3) (.f64 (-.f64 n f) -2)) 2) (/.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) 2))
(-.f64 (/.f64 (.f64 f 3) (.f64 (-.f64 f n) 4)) (/.f64 (neg.f64 f) (*.f64 (-.f64 f n) 4)))
(*.f64 f (/.f64 1 (-.f64 f n)))
(.f64 (-.f64 f n) (/.f64 f (.f64 (-.f64 f n) (-.f64 f n))))
(*.f64 (/.f64 f (-.f64 f n)) 1)
(*.f64 1 (/.f64 f (-.f64 f n)))
(*.f64 (+.f64 f f) (/.f64 1/2 (-.f64 f n)))
(*.f64 (neg.f64 f) (/.f64 1 (-.f64 n f)))
(*.f64 (neg.f64 f) (/.f64 -1 (-.f64 f n)))
(*.f64 (/.f64 f (-.f64 n f)) -1)
(*.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) 1/2)
(.f64 (.f64 f 4) (/.f64 1 (*.f64 (-.f64 f n) 4)))
(*.f64 -1 (/.f64 f (-.f64 n f)))
(*.f64 1/2 (/.f64 f (/.f64 (-.f64 n f) -2)))
(*.f64 (/.f64 1 (-.f64 f n)) f)
(*.f64 (/.f64 1/2 (-.f64 f n)) (+.f64 f f))
(*.f64 (/.f64 1 (-.f64 n f)) (neg.f64 f))
(.f64 (/.f64 1 (.f64 (-.f64 f n) 4)) (*.f64 f 4))
(*.f64 (neg.f64 (neg.f64 f)) (/.f64 1 (-.f64 f n)))
(.f64 (.f64 -2 f) (/.f64 1/2 (-.f64 n f)))
(.f64 (/.f64 (.f64 f 4) (-.f64 f n)) 1/4)
(.f64 (.f64 2 (.f64 f 4)) (/.f64 1 (.f64 2 (*.f64 (-.f64 f n) 4))))
(.f64 (/.f64 f (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 1 (/.f64 1 (-.f64 f n))))
(*.f64 (/.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) (-.f64 f n)) (/.f64 1 (/.f64 2 (-.f64 f n))))
(.f64 (.f64 (-.f64 f n) f) (/.f64 (/.f64 1 (-.f64 f n)) (-.f64 f n)))
(.f64 (.f64 (-.f64 f n) (+.f64 f f)) (/.f64 (/.f64 1/2 (-.f64 f n)) (-.f64 f n)))
(.f64 (.f64 (-.f64 f n) (/.f64 f (-.f64 f n))) (/.f64 1 (-.f64 f n)))
(.f64 (.f64 (-.f64 f n) (neg.f64 f)) (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 f n)))
(.f64 (.f64 (-.f64 f n) (/.f64 f (/.f64 (-.f64 n f) -2))) (/.f64 1/2 (-.f64 f n)))
(.f64 (.f64 (-.f64 f n) (.f64 f 4)) (/.f64 (/.f64 1 (.f64 (-.f64 f n) 4)) (-.f64 f n)))
(pow.f64 (/.f64 f (-.f64 f n)) 1)

Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 -2 (/.f64 n f)) -1)
(+.f64 -1 (*.f64 -2 (/.f64 n f)))
(+.f64 -1 (*.f64 n (/.f64 -2 f)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(+.f64 (+.f64 (.f64 -2 (/.f64 n f)) (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (+.f64 (.f64 -2 (/.f64 n f)) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) -1)
(+.f64 -1 (+.f64 (.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 -1 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
1
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(-.f64 (+.f64 (+.f64 1 (.f64 f (/.f64 2 n))) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
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(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1 (.f64 f (/.f64 2 n))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(-.f64 (+.f64 (.f64 f (/.f64 2 n)) (+.f64 (+.f64 1 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (.f64 -1 (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (+.f64 1 (.f64 f (/.f64 2 n))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))) (.f64 -1 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
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(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) 1)) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (+.f64 1 (.f64 f (/.f64 2 n))) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (+.f64 1 (*.f64 f (/.f64 2 n))) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (neg.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (/.f64 -1 (pow.f64 n 3))) (+.f64 1 (.f64 f (/.f64 2 n))))) (.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 f (/.f64 2 n)) (+.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (neg.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (-.f64 (*.f64 f (/.f64 2 n)) (+.f64 -1 (/.f64 (-.f64 (neg.f64 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3))))) (neg.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
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(+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (.f64 f (/.f64 2 n))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
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(+.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 1 (.f64 f (/.f64 2 n)))) (*.f64 (pow.f64 f 3) (/.f64 2 (pow.f64 n 3))))
(+.f64 (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 1 (.f64 f (/.f64 2 n))) (.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 -2 (/.f64 n f)) -1)
(+.f64 -1 (*.f64 -2 (/.f64 n f)))
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(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 n f)) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(+.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (neg.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) (/.f64 (pow.f64 n 2) (pow.f64 f 2))) -1)
(+.f64 -1 (-.f64 (+.f64 (*.f64 n (/.f64 -2 f)) (neg.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
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(+.f64 (/.f64 f (.f64 (-.f64 n f) 2)) (neg.f64 (/.f64 (-.f64 f (.f64 -2 n)) (*.f64 (-.f64 n f) -2))))
(/.f64 (+.f64 n f) (-.f64 n f))
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(/.f64 (+.f64 n f) (-.f64 n f))
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(/.f64 (+.f64 n (-.f64 n (.f64 -2 f))) (.f64 2 (-.f64 n f)))
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(/.f64 (+.f64 n (-.f64 n (.f64 -2 f))) (.f64 2 (-.f64 n f)))
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(/.f64 (+.f64 n f) (-.f64 n f))
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(+.f64 (-.f64 -1 (/.f64 n (-.f64 f n))) (+.f64 1 (/.f64 f (-.f64 n f))))
(+.f64 (-.f64 -1 (/.f64 (+.f64 n f) (-.f64 f n))) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 (-.f64 -1 (/.f64 f (-.f64 f n))) (-.f64 1 (/.f64 n (-.f64 f n))))
(+.f64 (/.f64 f (-.f64 n f)) (+.f64 -1 (-.f64 1 (/.f64 n (-.f64 f n)))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) -1)
(/.f64 (+.f64 n f) (-.f64 n f))
(.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) 1/2)
(/.f64 (+.f64 n f) (-.f64 n f))
(.f64 1/2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(/.f64 (+.f64 n f) (-.f64 n f))
(.f64 (.f64 2 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) 1/4)
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 1 (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) -1)
(/.f64 (+.f64 n f) (-.f64 n f))
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(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (.f64 2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) 4)
(/.f64 (+.f64 n f) (-.f64 n f))
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(/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1/2)
(+.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) (-.f64 (/.f64 n (-.f64 n f)) 1/2))
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(/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) (/.f64 (-.f64 n f) (*.f64 2 (-.f64 n f))))
(/.f64 (+.f64 -1/2 (/.f64 n (-.f64 n f))) (/.f64 (-.f64 n f) (*.f64 2 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (.f64 (-.f64 n f) 2)) (/.f64 (-.f64 f n) (.f64 (-.f64 n f) 2)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) (.f64 2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))) 8)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 (+.f64 n f) (+.f64 n f)) (*.f64 (-.f64 n f) 2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 (-.f64 (neg.f64 f) n) (-.f64 (neg.f64 f) n)) (*.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (+.f64 n n) (.f64 -2 f)) (.f64 (-.f64 n f) 2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (.f64 -2 n) (+.f64 f f)) (.f64 (-.f64 n f) -2))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (/.f64 (.f64 n 4) (-.f64 n f)) (/.f64 (.f64 f 4) (-.f64 f n))) 4)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n f)) (/.f64 1 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) 2)) (/.f64 1/2 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) (-.f64 n f)) (/.f64 2 (-.f64 n f)))
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(/.f64 (/.f64 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) (.f64 (-.f64 n f) 2)) (/.f64 1 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) (-.f64 n f)) (/.f64 4 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2)) (*.f64 (-.f64 n f) 2)) (/.f64 2 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 n f) (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 (/.f64 n (-.f64 n f)) 0)
(/.f64 n (-.f64 n f))
(+.f64 0 (/.f64 n (-.f64 n f)))
(/.f64 n (-.f64 n f))
(+.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (/.f64 n (.f64 (-.f64 n f) 2)))
(/.f64 n (-.f64 n f))
(+.f64 (/.f64 (/.f64 n (.f64 (-.f64 n f) 2)) 2) (/.f64 (/.f64 (.f64 n 3) (*.f64 (-.f64 n f) 2)) 2))
(/.f64 n (-.f64 n f))
(+.f64 (/.f64 n (.f64 (-.f64 n f) 4)) (/.f64 (.f64 n 3) (*.f64 (-.f64 n f) 4)))
(/.f64 n (-.f64 n f))
(-.f64 (/.f64 n (-.f64 n f)) 0)
(/.f64 n (-.f64 n f))
(-.f64 0 (/.f64 n (-.f64 f n)))
(/.f64 n (-.f64 n f))
(-.f64 (/.f64 n (.f64 (-.f64 n f) 2)) (/.f64 n (.f64 (-.f64 n f) -2)))
(/.f64 n (-.f64 n f))
(-.f64 (/.f64 (+.f64 n n) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 n (-.f64 n f))
(-.f64 (/.f64 (/.f64 (.f64 n 3) (.f64 (-.f64 n f) 2)) 2) (/.f64 (/.f64 n (*.f64 (-.f64 n f) -2)) 2))
(/.f64 n (-.f64 n f))
(-.f64 (/.f64 (.f64 n 3) (.f64 (-.f64 n f) 4)) (/.f64 (neg.f64 n) (*.f64 (-.f64 n f) 4)))
(/.f64 n (-.f64 n f))
(*.f64 n (/.f64 1 (-.f64 n f)))
(/.f64 n (-.f64 n f))
(.f64 (-.f64 n f) (/.f64 n (.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 n (-.f64 n f)) 1)
(/.f64 n (-.f64 n f))
(*.f64 1 (/.f64 n (-.f64 n f)))
(/.f64 n (-.f64 n f))
(*.f64 (+.f64 n n) (/.f64 1/2 (-.f64 n f)))
(/.f64 n (-.f64 n f))
(*.f64 (neg.f64 n) (/.f64 1 (-.f64 f n)))
(/.f64 n (-.f64 n f))
(*.f64 (neg.f64 n) (/.f64 -1 (-.f64 n f)))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 (+.f64 n n) (-.f64 n f)) 1/2)
(/.f64 n (-.f64 n f))
(.f64 (.f64 n 4) (/.f64 1 (*.f64 (-.f64 n f) 4)))
(/.f64 n (-.f64 n f))
(*.f64 -1 (/.f64 n (-.f64 f n)))
(/.f64 n (-.f64 n f))
(*.f64 1/2 (/.f64 (+.f64 n n) (-.f64 n f)))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 f n)) (neg.f64 n))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) n)
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 1/2 (-.f64 n f)) (+.f64 n n))
(/.f64 n (-.f64 n f))
(.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (*.f64 n 4))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 n (-.f64 f n)) -1)
(/.f64 n (-.f64 n f))
(*.f64 (neg.f64 (neg.f64 n)) (/.f64 1 (-.f64 n f)))
(/.f64 n (-.f64 n f))
(.f64 (.f64 -2 n) (/.f64 1/2 (-.f64 f n)))
(/.f64 n (-.f64 n f))
(.f64 (/.f64 (.f64 n 4) (-.f64 n f)) 1/4)
(/.f64 n (-.f64 n f))
(.f64 (.f64 2 (.f64 n 4)) (/.f64 1 (.f64 2 (*.f64 (-.f64 n f) 4))))
(/.f64 n (-.f64 n f))
(.f64 (/.f64 n (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 1 (/.f64 1 (-.f64 n f))))
(/.f64 n (-.f64 n f))
(.f64 (/.f64 (+.f64 n n) (.f64 (-.f64 n f) (-.f64 n f))) (/.f64 1 (/.f64 2 (-.f64 n f))))
(/.f64 n (-.f64 n f))
(.f64 (.f64 (-.f64 n f) n) (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 n f)))
(/.f64 n (-.f64 n f))
(.f64 (.f64 (-.f64 n f) (+.f64 n n)) (/.f64 (/.f64 1/2 (-.f64 n f)) (-.f64 n f)))
(/.f64 n (-.f64 n f))
(.f64 (.f64 (-.f64 n f) (/.f64 n (-.f64 n f))) (/.f64 1 (-.f64 n f)))
(/.f64 n (-.f64 n f))
(.f64 (.f64 (-.f64 n f) (neg.f64 n)) (/.f64 (/.f64 1 (-.f64 f n)) (-.f64 n f)))
(/.f64 n (-.f64 n f))
(.f64 (.f64 (-.f64 n f) (/.f64 (+.f64 n n) (-.f64 n f))) (/.f64 1/2 (-.f64 n f)))
(/.f64 n (-.f64 n f))
(.f64 (.f64 (-.f64 n f) (.f64 n 4)) (/.f64 (/.f64 1 (.f64 (-.f64 n f) 4)) (-.f64 n f)))
(/.f64 n (-.f64 n f))
(pow.f64 (/.f64 n (-.f64 n f)) 1)
(/.f64 n (-.f64 n f))
(+.f64 (/.f64 f (-.f64 f n)) 0)
(/.f64 f (-.f64 f n))
(+.f64 0 (/.f64 f (-.f64 f n)))
(/.f64 f (-.f64 f n))
(+.f64 (/.f64 f (.f64 (-.f64 n f) -2)) (/.f64 f (.f64 (-.f64 n f) -2)))
(/.f64 f (-.f64 f n))
(+.f64 (/.f64 (/.f64 f (.f64 (-.f64 n f) -2)) 2) (/.f64 (/.f64 (.f64 f 3) (*.f64 (-.f64 n f) -2)) 2))
(/.f64 (+.f64 (/.f64 f (.f64 -2 (-.f64 n f))) (/.f64 (.f64 f 3) (*.f64 -2 (-.f64 n f)))) 2)
(/.f64 (.f64 f 4) (.f64 2 (*.f64 -2 (-.f64 n f))))
(+.f64 (/.f64 f (.f64 (-.f64 f n) 4)) (/.f64 (.f64 f 3) (*.f64 (-.f64 f n) 4)))
(/.f64 f (-.f64 f n))
(-.f64 (/.f64 f (-.f64 f n)) 0)
(/.f64 f (-.f64 f n))
(-.f64 0 (/.f64 f (-.f64 n f)))
(/.f64 f (-.f64 f n))
(-.f64 (/.f64 f (.f64 (-.f64 n f) -2)) (/.f64 f (.f64 (-.f64 n f) 2)))
(/.f64 f (-.f64 f n))
(-.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) (/.f64 f (-.f64 f n)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 f (/.f64 (-.f64 n f) -2)))
(-.f64 (/.f64 (/.f64 (.f64 f 3) (.f64 (-.f64 n f) -2)) 2) (/.f64 (/.f64 f (*.f64 (-.f64 n f) 2)) 2))
(/.f64 (-.f64 (/.f64 (.f64 f 3) (.f64 -2 (-.f64 n f))) (/.f64 (/.f64 f (-.f64 n f)) 2)) 2)
(-.f64 (/.f64 (/.f64 (*.f64 f 3) (-.f64 n f)) -4) (/.f64 (/.f64 f (-.f64 n f)) 4))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 f 3) -2) (/.f64 f 2)) (-.f64 n f)) 2)
(-.f64 (/.f64 (.f64 f 3) (.f64 (-.f64 f n) 4)) (/.f64 (neg.f64 f) (*.f64 (-.f64 f n) 4)))
(/.f64 f (-.f64 f n))
(*.f64 f (/.f64 1 (-.f64 f n)))
(/.f64 f (-.f64 f n))
(.f64 (-.f64 f n) (/.f64 f (.f64 (-.f64 f n) (-.f64 f n))))
(/.f64 f (-.f64 f n))
(*.f64 (/.f64 f (-.f64 f n)) 1)
(/.f64 f (-.f64 f n))
(*.f64 1 (/.f64 f (-.f64 f n)))
(/.f64 f (-.f64 f n))
(*.f64 (+.f64 f f) (/.f64 1/2 (-.f64 f n)))
(/.f64 f (-.f64 f n))
(*.f64 (neg.f64 f) (/.f64 1 (-.f64 n f)))
(/.f64 f (-.f64 f n))
(*.f64 (neg.f64 f) (/.f64 -1 (-.f64 f n)))
(/.f64 f (-.f64 f n))
(*.f64 (/.f64 f (-.f64 n f)) -1)
(/.f64 f (-.f64 f n))
(*.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) 1/2)
(*.f64 f (/.f64 1/2 (/.f64 (-.f64 n f) -2)))
(.f64 (.f64 f 4) (/.f64 1 (*.f64 (-.f64 f n) 4)))
(/.f64 f (-.f64 f n))
(*.f64 -1 (/.f64 f (-.f64 n f)))
(/.f64 f (-.f64 f n))
(*.f64 1/2 (/.f64 f (/.f64 (-.f64 n f) -2)))
(*.f64 f (/.f64 1/2 (/.f64 (-.f64 n f) -2)))
(*.f64 (/.f64 1 (-.f64 f n)) f)
(/.f64 f (-.f64 f n))
(*.f64 (/.f64 1/2 (-.f64 f n)) (+.f64 f f))
(/.f64 f (-.f64 f n))
(*.f64 (/.f64 1 (-.f64 n f)) (neg.f64 f))
(/.f64 f (-.f64 f n))
(.f64 (/.f64 1 (.f64 (-.f64 f n) 4)) (*.f64 f 4))
(/.f64 f (-.f64 f n))
(*.f64 (neg.f64 (neg.f64 f)) (/.f64 1 (-.f64 f n)))
(/.f64 f (-.f64 f n))
(.f64 (.f64 -2 f) (/.f64 1/2 (-.f64 n f)))
(/.f64 f (-.f64 f n))
(.f64 (/.f64 (.f64 f 4) (-.f64 f n)) 1/4)
(/.f64 f (-.f64 f n))
(.f64 (.f64 2 (.f64 f 4)) (/.f64 1 (.f64 2 (*.f64 (-.f64 f n) 4))))
(/.f64 f (-.f64 f n))
(.f64 (/.f64 f (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 1 (/.f64 1 (-.f64 f n))))
(/.f64 f (-.f64 f n))
(*.f64 (/.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) (-.f64 f n)) (/.f64 1 (/.f64 2 (-.f64 f n))))
(.f64 1 (/.f64 (/.f64 f (.f64 (/.f64 (-.f64 n f) -2) (-.f64 f n))) (/.f64 2 (-.f64 f n))))
(*.f64 1 (-.f64 (/.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) 2) (/.f64 0 (-.f64 f n))))
(-.f64 (/.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) 2) (/.f64 0 (-.f64 f n)))
(.f64 (.f64 (-.f64 f n) f) (/.f64 (/.f64 1 (-.f64 f n)) (-.f64 f n)))
(/.f64 f (-.f64 f n))
(.f64 (.f64 (-.f64 f n) (+.f64 f f)) (/.f64 (/.f64 1/2 (-.f64 f n)) (-.f64 f n)))
(/.f64 f (-.f64 f n))
(.f64 (.f64 (-.f64 f n) (/.f64 f (-.f64 f n))) (/.f64 1 (-.f64 f n)))
(/.f64 f (-.f64 f n))
(.f64 (.f64 (-.f64 f n) (neg.f64 f)) (/.f64 (/.f64 1 (-.f64 n f)) (-.f64 f n)))
(/.f64 f (-.f64 f n))
(.f64 (.f64 (-.f64 f n) (/.f64 f (/.f64 (-.f64 n f) -2))) (/.f64 1/2 (-.f64 f n)))
(/.f64 (*.f64 f (/.f64 1/2 (/.f64 (-.f64 n f) -2))) (/.f64 (-.f64 f n) (-.f64 f n)))
(.f64 (-.f64 f n) (.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) (/.f64 1/2 (-.f64 f n))))
(.f64 (/.f64 f (/.f64 (-.f64 n f) -2)) (.f64 (-.f64 f n) (/.f64 1/2 (-.f64 f n))))
(.f64 (.f64 (-.f64 f n) (.f64 f 4)) (/.f64 (/.f64 1 (.f64 (-.f64 f n) 4)) (-.f64 f n)))
(/.f64 f (-.f64 f n))
(pow.f64 (/.f64 f (-.f64 f n)) 1)
(/.f64 f (-.f64 f n))

eval640.0ms (4%)

Compiler: Compiled 10875 to 5561 computations (48.9% saved)

prune498.0ms (3.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	642	1	643
Fresh	0	2	2
Picked	0	1	1
Done	1	3	4
Total	643	7	650

Error

Counts

650 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1/2)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
✓	30.7b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.4b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.8b	1
	31.2b	-1

Compiler

Compiled 57 to 40 computations (29.8% saved)

localize31.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 n (-.f64 n f))
✓	0.0b	(-.f64 (/.f64 n (-.f64 n f)) 1/2)

Compiler

Compiled 29 to 11 computations (62.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	n	@	0	(-.f64 (/.f64 n (-.f64 n f)) 1/2)
0.0ms	n	@	inf	(-.f64 (/.f64 n (-.f64 n f)) 1/2)
0.0ms	f	@	inf	(-.f64 (/.f64 n (-.f64 n f)) 1/2)
0.0ms	n	@	-inf	(-.f64 (/.f64 n (-.f64 n f)) 1/2)
0.0ms	f	@	-inf	(-.f64 (/.f64 n (-.f64 n f)) 1/2)

rewrite812.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`rational_best-4`
1028×	`rational_best-2`
1028×	`rational_best-3`
1028×	`rational_best-1`
1028×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	53	19
2	124	19
3	414	19
4	2427	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(-.f64 (/.f64 n (-.f64 n f)) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 n (-.f64 n f)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/4) (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/2) (/.f64 (/.f64 n 2) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 n (-.f64 n f)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1/2 (/.f64 n (-.f64 n f))) (*.f64 (-.f64 n f) -2)) (/.f64 1/2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 (-.f64 (/.f64 n (-.f64 n f)) 1/2)) (-.f64 f n)) (/.f64 2 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) (-.f64 n f)) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) (-.f64 n f)) (/.f64 4 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2)))))))

simplify332.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

970×	`rational_best-simplify-55`
872×	`rational_best-simplify-52`
806×	`rational_best-simplify-48`
764×	`rational_best-simplify-47`
658×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1198
1	223	1150
2	665	1150
3	2901	1090

Stop Event

1×	node limit

Counts

46 → 47

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 -1 (/.f64 n f)) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1/2)
1/2
(+.f64 1/2 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1/2
(+.f64 1/2 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1/2
(+.f64 1/2 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
-1/2
(-.f64 (*.f64 -1 (/.f64 n f)) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1/2)
-1/2
(-.f64 (*.f64 -1 (/.f64 n f)) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1/2)
(+.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 0)
(+.f64 0 (-.f64 (/.f64 n (-.f64 n f)) 1/2))
(+.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/2))
(+.f64 (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/4) (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/4))
(+.f64 (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/2) (/.f64 (/.f64 n 2) (-.f64 n f)))
(.f64 1/2 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 2))
(*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1)
(*.f64 1 (-.f64 (/.f64 n (-.f64 n f)) 1/2))
(.f64 2 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1/2))
(.f64 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 2) 1/2)
(.f64 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4))
(/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1)
(/.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 2) 2)
(/.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) 4)
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4)) 8)
(/.f64 (/.f64 (-.f64 1/2 (/.f64 n (-.f64 n f))) (*.f64 (-.f64 n f) -2)) (/.f64 1/2 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 -2 (-.f64 (/.f64 n (-.f64 n f)) 1/2)) (-.f64 f n)) (/.f64 2 (-.f64 n f)))
(/.f64 (/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) (-.f64 n f)) (/.f64 1 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) (-.f64 n f)) (/.f64 4 (-.f64 n f)))
(pow.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1)
(neg.f64 (neg.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2)))

Outputs
-1/2
(-.f64 (*.f64 -1 (/.f64 n f)) 1/2)
(-.f64 (neg.f64 (/.f64 n f)) 1/2)
(-.f64 -1/2 (/.f64 n f))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 n f)) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1/2)
(-.f64 (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1/2)
(-.f64 (-.f64 -1/2 (/.f64 n f)) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 n f)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))) 1/2)
(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1/2)
(-.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) (neg.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) 1/2)
(-.f64 (-.f64 -1/2 (/.f64 n f)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))
1/2
(+.f64 1/2 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (/.f64 f n)))
(+.f64 (+.f64 1/2 (/.f64 f n)) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 1/2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1/2 (/.f64 f n))))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 1/2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 f n) (+.f64 1/2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1/2
(+.f64 1/2 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (/.f64 f n)))
(+.f64 (+.f64 1/2 (/.f64 f n)) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 1/2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1/2 (/.f64 f n))))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 1/2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 f n) (+.f64 1/2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1/2
(+.f64 1/2 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (/.f64 f n)))
(+.f64 (+.f64 1/2 (/.f64 f n)) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 1/2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1/2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1/2 (/.f64 f n))))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 1/2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 f n) (+.f64 1/2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
-1/2
(-.f64 (*.f64 -1 (/.f64 n f)) 1/2)
(-.f64 (neg.f64 (/.f64 n f)) 1/2)
(-.f64 -1/2 (/.f64 n f))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 n f)) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1/2)
(-.f64 (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1/2)
(-.f64 (-.f64 -1/2 (/.f64 n f)) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 n f)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))) 1/2)
(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1/2)
(-.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) (neg.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) 1/2)
(-.f64 (-.f64 -1/2 (/.f64 n f)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))
-1/2
(-.f64 (*.f64 -1 (/.f64 n f)) 1/2)
(-.f64 (neg.f64 (/.f64 n f)) 1/2)
(-.f64 -1/2 (/.f64 n f))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -1 (/.f64 n f))) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 n f)) (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1/2)
(-.f64 (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1/2)
(-.f64 (-.f64 -1/2 (/.f64 n f)) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1/2)
(-.f64 (+.f64 (.f64 -1 (/.f64 n f)) (+.f64 (.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))) 1/2)
(-.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1/2)
(-.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) (neg.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) 1/2)
(-.f64 (-.f64 -1/2 (/.f64 n f)) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))
(+.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 0)
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(+.f64 0 (-.f64 (/.f64 n (-.f64 n f)) 1/2))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(+.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/2))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(+.f64 (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/4) (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/4))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(+.f64 (-.f64 (/.f64 (/.f64 n 2) (-.f64 n f)) 1/2) (/.f64 (/.f64 n 2) (-.f64 n f)))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(.f64 1/2 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 2))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1)
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(*.f64 1 (-.f64 (/.f64 n (-.f64 n f)) 1/2))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(.f64 2 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1/2))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(.f64 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 2) 1/2)
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(.f64 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) 1/4)
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(.f64 1/4 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1)
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(/.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 2) 2)
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(/.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) 4)
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) (.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4)) 8)
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(/.f64 (/.f64 (-.f64 1/2 (/.f64 n (-.f64 n f))) (*.f64 (-.f64 n f) -2)) (/.f64 1/2 (-.f64 n f)))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(/.f64 (/.f64 (*.f64 -2 (-.f64 (/.f64 n (-.f64 n f)) 1/2)) (-.f64 f n)) (/.f64 2 (-.f64 n f)))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(/.f64 (/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) (-.f64 n f)) (/.f64 1 (-.f64 n f)))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 4) (-.f64 n f)) (/.f64 4 (-.f64 n f)))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(pow.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1)
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)
(neg.f64 (neg.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2)))
(-.f64 (/.f64 n (-.f64 n f)) 1/2)
(+.f64 (/.f64 n (-.f64 n f)) -1/2)

eval124.0ms (0.8%)

Compiler: Compiled 1805 to 1138 computations (37% saved)

prune68.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	106	7	113

Error

Counts

113 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1/2)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
✓	30.7b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.4b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.8b	1
	31.2b	-1

Compiler

Compiled 57 to 40 computations (29.8% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1/2)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
✓	30.7b	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	32.4b	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	32.8b	1
	31.2b	-1

Compiler

Compiled 57 to 40 computations (29.8% saved)

regimes231.0ms (1.5%)

Counts

9 → 1

Calls

Call 1

Inputs
-1
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 (-.f64 (/.f64 n (-.f64 n f)) 1/2) 1/2)
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))

Calls

3 calls:

195.0ms	n
17.0ms	f
16.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Error	Segments	Branch
0.0b	1	`f`
0.0b	1	`n`
0.0b	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 78 to 40 computations (48.7% saved)

regimes392.0ms (2.5%)

Counts

4 → 3

Calls

Call 1

Inputs
-1
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)

Outputs
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)

Calls

2 calls:

277.0ms	n
89.0ms	f

Results

Error	Segments	Branch
15.9b	5	`f`
11.8b	3	`n`

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch316.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
245.0ms	6.619224541202395e+43	1.5002846597054181e+53
71.0ms	-442846568321288640.0	-5.472951153751804e-9

Results

309.0ms

320×

body

256

valid

Compiler

Compiled 415 to 330 computations (20.5% saved)

regimes187.0ms (1.2%)

Counts

3 → 3

Calls

Call 1

Inputs
-1
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)

Outputs
(+.f64 (*.f64 2 (/.f64 f n)) 1)
-1
(+.f64 (*.f64 2 (/.f64 f n)) 1)

Calls

2 calls:

156.0ms	f
18.0ms	n

Results

Error	Segments	Branch
15.1b	7	`f`
12.2b	3	`n`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch167.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	6.619224541202395e+43	1.5002846597054181e+53
120.0ms	-442846568321288640.0	-5.472951153751804e-9

Results

137.0ms

320×

body

256

valid

Compiler

Compiled 295 to 250 computations (15.3% saved)

regimes338.0ms (2.1%)

Accuracy

Total -50.7b remaining (-410.4%)

Threshold costs -50.7b (-410.4%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1

Calls

2 calls:

252.0ms	f
85.0ms	n

Results

Error	Segments	Branch
16.4b	5	`f`
12.3b	3	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch145.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	1.9642892436836794e+40	4.848808194203238e+40
76.0ms	-442846568321288640.0	-5.472951153751804e-9

Results

82.0ms

256×

body

256

valid

Compiler

Compiled 143 to 138 computations (3.5% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	173

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -102000000) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 419999999999999973667187890875505016112676864) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -14000) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 1350000000000000018627068903549525580861461757952) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -6375194751874021/4722366482869645213696) 1 (if (<=.f64 n 35999999999999999642918718799658191159296) -1 1))
-1

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -102000000) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 419999999999999973667187890875505016112676864) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -14000) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 1350000000000000018627068903549525580861461757952) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -6375194751874021/4722366482869645213696) 1 (if (<=.f64 n 35999999999999999642918718799658191159296) -1 1))
-1

Compiler

Compiled 81 to 59 computations (27.2% saved)

soundness925.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

994×	`rational_best-simplify-66`
948×	`rational_best-simplify-3`
708×	`rational_best-simplify-58`
702×	`rational_best-simplify-108`
660×	`rational_best-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	18	23
2	49	23
3	144	23
4	546	23
5	3244	19
6	6905	19

Stop Event

1×	node limit

Compiler

Compiled 346 to 231 computations (33.2% saved)

end225.0ms (1.4%)

Compiler: Compiled 73 to 50 computations (31.5% saved)

Details

analyze367.0ms (2.3%)

sample3.3s (20.9%)

preprocess331.0ms (2.1%)

simplify571.0ms (3.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize26.0ms (0.2%)

series4.0ms (0%)

rewrite665.0ms (4.2%)

simplify457.0ms (2.9%)

eval316.0ms (2%)

prune455.0ms (2.9%)

localize44.0ms (0.3%)

series28.0ms (0.2%)

rewrite241.0ms (1.5%)

simplify460.0ms (2.9%)

localize21.0ms (0.1%)

series6.0ms (0%)

rewrite319.0ms (2%)

simplify618.0ms (3.9%)

localize28.0ms (0.2%)

series6.0ms (0%)

rewrite386.0ms (2.4%)

simplify246.0ms (1.5%)

localize39.0ms (0.2%)

series22.0ms (0.1%)

rewrite709.0ms (4.5%)

simplify760.0ms (4.8%)

eval640.0ms (4%)

prune498.0ms (3.1%)

localize31.0ms (0.2%)

series1.0ms (0%)

rewrite812.0ms (5.1%)

simplify332.0ms (2.1%)

eval124.0ms (0.8%)

prune68.0ms (0.4%)

eval0.0ms (0%)

prune4.0ms (0%)

regimes231.0ms (1.5%)

regimes392.0ms (2.5%)

bsearch316.0ms (2%)

regimes187.0ms (1.2%)

bsearch167.0ms (1.1%)

regimes338.0ms (2.1%)

bsearch145.0ms (0.9%)

simplify18.0ms (0.1%)

soundness925.0ms (5.8%)

end225.0ms (1.4%)

Profiling