Details

analyze175.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
75%	75%	25%	0%	0%	0%	0%	5
75%	75%	25%	0%	0%	0%	0%	6
78.1%	78.1%	21.9%	0%	0%	0%	0%	7
78.1%	78.1%	21.9%	0%	0%	0%	0%	8
78.1%	78.1%	21.9%	0%	0%	0%	0%	9
78.1%	78.1%	21.9%	0%	0%	0%	0%	10
78.1%	78.1%	21.9%	0%	0%	0%	0%	11
78.1%	78.1%	21.9%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.0s (24.6%)

Results

1.6s	2101×	body	2048	valid
478.0ms	1524×	body	512	valid
472.0ms	1095×	body	1024	valid
365.0ms	3425×	body	256	valid
72.0ms	111×	body	4096	valid

Bogosity

preprocess56.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1346×	`rational.json-simplify-2`
1134×	`rational.json-simplify-59`
1064×	`rational.json-simplify-44`
960×	`rational.json-simplify-47`
736×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	17	23
2	37	23
3	88	23
4	389	23
5	4577	23
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1346×	`rational.json-simplify-2`
1134×	`rational.json-simplify-59`
1064×	`rational.json-simplify-44`
960×	`rational.json-simplify-47`
736×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	17	23
2	37	23
3	88	23
4	389	23
5	4577	23

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

33.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.3b	(-.f64 1 (cos.f64 x))
✓	17.4b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
0.0ms	x	@	0	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
0.0ms	x	@	0	(-.f64 1 (cos.f64 x))
0.0ms	x	@	inf	(-.f64 1 (cos.f64 x))

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`bool.json-1`
1376×	`bool.json-2`
1348×	`rational.json-1`
1348×	`rational.json-2`
1348×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	101	34
2	343	34
3	961	34
4	3634	34

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 1 (cos.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (/.f64 1 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 x) x) (.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (.f64 x x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 x) (/.f64 1/2 x)) (.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (.f64 x 4))) (.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (.f64 x x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (neg.f64 x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 (+.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1680×	`rational.json-simplify-51`
1580×	`rational.json-simplify-38`
1050×	`rational.json-simplify-43`
910×	`rational.json-simplify-35`
890×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1984
1	332	1984
2	1202	1960
3	5273	1960

Stop Event

1×	node limit

Counts

84 → 96

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 x (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (.f64 x x) (/.f64 1 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 x x)) 1/2))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 x x))))
(.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (neg.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (.f64 x (.f64 x 4))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (.f64 x x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 x (neg.f64 x))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(.f64 (/.f64 1/2 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(.f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (.f64 (/.f64 1 (.f64 x x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 x x))) -1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (neg.f64 x))) -1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) 2)
(.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) x)
(.f64 (/.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2))
(.f64 (/.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) (fabs.f64 x))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) 2)
(.f64 (/.f64 1 (.f64 x (.f64 x 4))) (.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (/.f64 1 (neg.f64 (.f64 x x))) (+.f64 (cos.f64 x) -1))
(.f64 (/.f64 1 (.f64 x (neg.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))
(+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) 8)
(neg.f64 (+.f64 (cos.f64 x) -1))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 1/2 (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8))) (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 x (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 x (/.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 1 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 x x)) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 x x) 2)))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (.f64 x (.f64 x 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 x) (/.f64 1/2 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1/2 x) (/.f64 2 x)))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (.f64 x x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 x (neg.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (.f64 x x)))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 x (neg.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (.f64 x x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (.f64 x x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1/2 x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 2 x) (/.f64 1/2 x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1/2 x) (/.f64 2 x)))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 x x) 2)))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) x)))
(.f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 x (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 x (/.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 1 (.f64 x x)) 1/2) (.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 x x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (neg.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) x)
(.f64 x (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 x (/.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2))
(.f64 x (/.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 x (/.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) (fabs.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (.f64 x (.f64 x 4))) (.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (neg.f64 (.f64 x x))) (+.f64 (cos.f64 x) -1))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (.f64 x x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 x (neg.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x (neg.f64 x))) (+.f64 (cos.f64 x) -1))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (.f64 x x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 x (neg.f64 x))))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (.f64 x x)))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 -1 (-.f64 1 (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 x)) 4))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) 8)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))

eval19.0ms (0.2%)

Compiler: Compiled 1259 to 726 computations (42.3% saved)

prune18.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	87	9	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	10	97

Error

0.1b

Counts

97 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	33.2b	(/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1) (*.f64 x x))
▶	30.6b	(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
▶	30.8b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
▶	32.3b	(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 (-.f64 1 (cos.f64 x)) 2))
	31.7b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶	33.1b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
▶	43.5b	(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (*.f64 x x))))))
	31.7b	(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
	29.9b	1/2

Compiler

Compiled 205 to 152 computations (25.9% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/720 (pow.f64 x 4))
✓	0.4b	(*.f64 -1/24 (pow.f64 x 2))
✓	10.0b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))

Compiler

Compiled 47 to 38 computations (19.1% saved)

series3.0ms (0%)

Counts

3 → 3

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 -1/24 (pow.f64 x 2))
1.0ms	x	@	inf	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
0.0ms	x	@	0	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
0.0ms	x	@	inf	(*.f64 1/720 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 -1/24 (pow.f64 x 2))

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1886×	`bool.json-1`
1886×	`bool.json-2`
1372×	`rational.json-simplify-35`
1210×	`rational.json-1`
1210×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	116	57
2	277	57
3	528	57
4	1079	57
5	2352	57
6	4825	57
7	7668	57

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

Inputs
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 1/720 (pow.f64 x 4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/48) (.f64 (pow.f64 x 4) 1/1440)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (pow.f64 x 4) 1/360) (.f64 (pow.f64 x 2) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 4 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/24 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) -1/48) (.f64 (pow.f64 x 2) -1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/24 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) -1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) -1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 2) -1/6)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -1/6))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -1/6)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -1/6)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -1/6))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 -1/24 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 -1/24 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 4) 1/1440) (.f64 (pow.f64 x 4) 1/1440))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 4) 1/360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 4) 1/180) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/180)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 1/180))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 1/180)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 1/180)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 1/180))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 1/720 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 1/720 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 4)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 2) -1/48) (*.f64 (pow.f64 x 4) 1/1440)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/24 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -1/48) (*.f64 (pow.f64 x 2) -1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -1/6)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/6))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/6)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/6)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -1/6))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) 1/1440) (*.f64 (pow.f64 x 4) 1/1440))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/180) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/180)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/180))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/180)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/180)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) 1/180))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4)))))))

simplify507.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

4782×	`rational.json-simplify-35`
2610×	`rational.json-simplify-49`
2536×	`rational.json-simplify-2`
948×	`rational.json-simplify-1`
662×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	945
1	200	945
2	465	945
3	1242	945
4	2452	945
5	3214	945
6	3353	945
7	3469	945
8	3574	945
9	3676	945
10	3778	945
11	3934	945
12	4036	945
13	4138	945
14	4138	945
15	5989	945
16	6260	945
17	6521	945
18	6755	945
19	6986	945
20	6986	945
21	7640	945
22	7640	945
23	7869	945

Stop Event

1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 1/720 (pow.f64 x 4))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 0)
(.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 1/2))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/48) (*.f64 (pow.f64 x 4) 1/1440)))
(.f64 4 (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 4))
(.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)
(.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(.f64 (.f64 2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))) 1/2)
(.f64 (.f64 4 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))
(.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 1/2) 2)
(.f64 1/4 (.f64 4 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))))
(.f64 (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 4) 4)
(/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) 2)
(/.f64 (.f64 4 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) 4)
(/.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8)))) 64)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -1/48) (.f64 (pow.f64 x 2) -1/48))
(-.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(/.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(/.f64 (*.f64 (pow.f64 x 2) -1/12) 2)
(/.f64 (*.f64 (pow.f64 x 2) -1/6) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -1/6)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -1/6))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -1/6)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -1/6)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -1/6))))) 64)
(+.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 4) 1/1440) (.f64 (pow.f64 x 4) 1/1440))
(-.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(/.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(/.f64 (*.f64 (pow.f64 x 4) 1/360) 2)
(/.f64 (*.f64 (pow.f64 x 4) 1/180) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/180)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 4) 1/180))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 1/180)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 1/180)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 1/180))))) 64)

Outputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 1/720 (pow.f64 x 4))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 0)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 1/2))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/48) (*.f64 (pow.f64 x 4) 1/1440)))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 4 (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 1)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 (.f64 2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))) 1/2)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 (.f64 4 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))) 1/4)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 4) 1/360) (*.f64 (pow.f64 x 2) -1/12)))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 1/2) 2)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 1/4 (.f64 4 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 4) 4)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 1)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(/.f64 (.f64 2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) 2)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(/.f64 (.f64 4 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) 4)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(/.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 8) 8)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8)) 16)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) 8))) 32)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) 8)))) 64)
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -1/48) (.f64 (pow.f64 x 2) -1/48))
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -1/12) 2)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -1/6) 4)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -1/6)) 8)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -1/6))) 16)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -1/6)))) 32)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -1/6)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -1/6))))) 64)
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(*.f64 1/720 (pow.f64 x 4))
(+.f64 0 (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 (pow.f64 x 4) 1/1440) (.f64 (pow.f64 x 4) 1/1440))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/360) 2)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/180) 4)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/180)) 8)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 4) 1/180))) 16)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 1/180)))) 32)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 1/180)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 1/180))))) 64)
(*.f64 1/720 (pow.f64 x 4))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.4b	(*.f64 -1/24 (pow.f64 x 2))

Compiler

Compiled 20 to 16 computations (20% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 1 (*.f64 x x))
	1.3b	(-.f64 1 (cos.f64 x))
✓	18.1b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (*.f64 x x))
0.0ms	x	@	0	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
0.0ms	x	@	inf	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
0.0ms	x	@	-inf	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
0.0ms	x	@	inf	(/.f64 1 (*.f64 x x))

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`bool.json-1`
1314×	`bool.json-2`
1286×	`rational.json-1`
1286×	`rational.json-2`
1286×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	111	36
2	346	36
3	878	36
4	3232	36

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fabs.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 1 x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 1 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 (/.f64 1 (*.f64 x x)) 2) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 x x))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) (*.f64 2 (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 -1 x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 (/.f64 2 x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 x (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (*.f64 x x) 4) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (*.f64 x x)) 2) (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 4) (*.f64 4 (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 x) (/.f64 (*.f64 x (*.f64 x (fabs.f64 x))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 x x))) (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (*.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) x)) (*.f64 x (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (fabs.f64 x))) (*.f64 (fabs.f64 x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))) (*.f64 2 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (-.f64 1 (cos.f64 x)))) (*.f64 2 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (fabs.f64 x)) (*.f64 2 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (/.f64 1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 4) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 x x))) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x (fabs.f64 x))) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x (+.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fabs.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (fabs.f64 (/.f64 1 (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (fabs.f64 (/.f64 (/.f64 1 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 x)) (/.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 (/.f64 1 (*.f64 x x)) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (fabs.f64 (/.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (fabs.f64 (/.f64 (/.f64 1 (*.f64 x x)) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) 1/2) (fabs.f64 (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x x)) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 x x)) (fabs.f64 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 1 x)) (fabs.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fabs.f64 (/.f64 1 x))) (fabs.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (*.f64 x x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (*.f64 x x)) (/.f64 1 (*.f64 x x)))))))

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1198×	`rational.json-simplify-2`
1036×	`rational.json-simplify-19`
930×	`rational.json-simplify-35`
582×	`rational.json-simplify-55`
540×	`rational.json-simplify-40`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2922
1	921	2918
2	3731	2898
3	7187	2898

Stop Event

1×	node limit

Counts

138 → 139

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 x (/.f64 1 x)))
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(/.f64 (fabs.f64 x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))))
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(/.f64 (/.f64 -1 x) (/.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x x))) (.f64 (.f64 x (+.f64 x x)) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (*.f64 x x) 4))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4) 4)
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
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(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x))
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(/.f64 (/.f64 1 (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 1 (*.f64 x x)))
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(/.f64 (/.f64 (neg.f64 x) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 -1 x))
(/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 x x))
(/.f64 (/.f64 (+.f64 x x) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (*.f64 2 (/.f64 1 x)))
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(/.f64 (/.f64 (.f64 (.f64 x x) 4) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) 4)
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(/.f64 (/.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) x)
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(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (*.f64 x 1/2))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 x (+.f64 x x))))
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(-.f64 0 (/.f64 -1 (*.f64 x x)))
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(.f64 1 (fabs.f64 (/.f64 -1 (.f64 x x))))
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(.f64 (.f64 x x) (/.f64 1 (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 x x) (fabs.f64 (/.f64 1 (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (.f64 x x)) 1)
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(.f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 x x)) 2)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(.f64 -1 (/.f64 -1 (.f64 x x)))
(.f64 (.f64 (/.f64 1 (*.f64 x x)) 2) 1/2)
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 1 (+.f64 x x)))
(.f64 (fabs.f64 x) (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x)))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 x (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x))))
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(.f64 (/.f64 -1 (.f64 x x)) -1)
(.f64 1/2 (.f64 (/.f64 1 (*.f64 x x)) 2))
(.f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x)))
(.f64 (.f64 (fabs.f64 x) 1/2) (fabs.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
(.f64 (/.f64 x (.f64 (.f64 x x) (.f64 x x))) x)
(.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x 1/2))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (/.f64 1 x)))
(.f64 (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (/.f64 (/.f64 1 (.f64 x x)) 2) 2)
(*.f64 (fabs.f64 (/.f64 1 x)) (fabs.f64 (/.f64 1 x)))
(.f64 (.f64 2 (fabs.f64 (/.f64 1 x))) (fabs.f64 (/.f64 1 (+.f64 x x))))
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(fabs.f64 (/.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 x x) (.f64 x x))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
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(/.f64 1 (pow.f64 x 2))
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(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x (fabs.f64 x))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (fabs.f64 x) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 x (neg.f64 x)) (/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 -1 x) (/.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x x))) (.f64 (.f64 x (+.f64 x x)) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (*.f64 x x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (neg.f64 x)) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) x)) (.f64 x (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (fabs.f64 x))) (.f64 (fabs.f64 x) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (*.f64 x (/.f64 (/.f64 1 x) x))))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))) (.f64 2 (fabs.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 2 (neg.f64 (-.f64 1 (cos.f64 x)))) (.f64 2 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (fabs.f64 x)) (.f64 2 (fabs.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 x (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 x) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 x x) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (*.f64 2 (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 x x) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 2 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (.f64 (.f64 x x) 4) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x x))) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 x (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (fabs.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) x) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 x (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 1 (*.f64 x x)) 0)
(/.f64 (/.f64 1 x) x)
(+.f64 0 (/.f64 1 (*.f64 x x)))
(/.f64 (/.f64 1 x) x)
(+.f64 -1 (-.f64 1 (/.f64 -1 (*.f64 x x))))
(/.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 (.f64 x (+.f64 x x))) (/.f64 1 (.f64 x (+.f64 x x))))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 1 (*.f64 x x)) 0)
(/.f64 (/.f64 1 x) x)
(-.f64 0 (/.f64 -1 (*.f64 x x)))
(/.f64 (/.f64 1 x) x)
(.f64 1 (/.f64 1 (.f64 x x)))
(/.f64 (/.f64 1 x) x)
(.f64 1 (fabs.f64 (/.f64 -1 (.f64 x x))))
(/.f64 (/.f64 1 x) x)
(.f64 x (/.f64 x (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (/.f64 1 x) x)
(.f64 (.f64 x x) (/.f64 1 (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (/.f64 1 x) x)
(.f64 (.f64 x x) (fabs.f64 (/.f64 1 (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (/.f64 1 x) x)
(.f64 (/.f64 1 (.f64 x x)) 1)
(/.f64 (/.f64 1 x) x)
(.f64 (/.f64 1 (.f64 x x)) (*.f64 x (/.f64 1 x)))
(.f64 (/.f64 (/.f64 1 x) x) (.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 (/.f64 (/.f64 1 x) x) x))
(.f64 2 (/.f64 (/.f64 1 (.f64 x x)) 2))
(/.f64 (/.f64 1 x) x)
(.f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 x x)) 2)))
(/.f64 (/.f64 1 x) x)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 (/.f64 1 x) x)
(.f64 -1 (/.f64 -1 (.f64 x x)))
(/.f64 (/.f64 1 x) x)
(.f64 (.f64 (/.f64 1 (*.f64 x x)) 2) 1/2)
(/.f64 (/.f64 1 x) x)
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 1 (+.f64 x x)))
(.f64 2 (.f64 (/.f64 1 x) (/.f64 1 (+.f64 x x))))
(.f64 (fabs.f64 x) (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x)))
(/.f64 (/.f64 1 x) x)
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 x (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (/.f64 1 x) x)
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 1 x) x)
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(/.f64 (/.f64 1 x) x)
(.f64 (/.f64 -1 (.f64 x x)) -1)
(/.f64 (/.f64 1 x) x)
(.f64 1/2 (.f64 (/.f64 1 (*.f64 x x)) 2))
(/.f64 (/.f64 1 x) x)
(.f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 x (.f64 1/2 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) x))
(.f64 1/2 (.f64 x (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x)))
(.f64 (/.f64 (/.f64 1 x) x) (.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 (/.f64 (/.f64 1 x) x) x))
(.f64 (.f64 (fabs.f64 x) 1/2) (fabs.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (.f64 1/2 (fabs.f64 x)) (/.f64 (fabs.f64 (+.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 1/2 (.f64 (fabs.f64 x) (/.f64 (fabs.f64 (+.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 1/2 (fabs.f64 (.f64 x (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))
(.f64 (/.f64 1 (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(.f64 (/.f64 x (.f64 (.f64 x x) (.f64 x x))) x)
(/.f64 (/.f64 1 x) x)
(.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x 1/2))
(.f64 x (.f64 1/2 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) x))
(.f64 1/2 (.f64 x (/.f64 (+.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (/.f64 1 x)))
(.f64 2 (.f64 (/.f64 1 x) (/.f64 1 (+.f64 x x))))
(.f64 (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 1 x) x)
(.f64 (/.f64 (/.f64 1 (.f64 x x)) 2) 2)
(/.f64 (/.f64 1 x) x)
(*.f64 (fabs.f64 (/.f64 1 x)) (fabs.f64 (/.f64 1 x)))
(/.f64 (/.f64 1 x) x)
(.f64 (.f64 2 (fabs.f64 (/.f64 1 x))) (fabs.f64 (/.f64 1 (+.f64 x x))))
(.f64 (.f64 2 (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 (+.f64 x x))))
(.f64 2 (fabs.f64 (.f64 (/.f64 1 x) (/.f64 1 (+.f64 x x)))))
(neg.f64 (/.f64 -1 (*.f64 x x)))
(/.f64 (/.f64 1 x) x)
(fabs.f64 (/.f64 1 (*.f64 x x)))
(/.f64 (/.f64 1 x) x)
(fabs.f64 (/.f64 (.f64 x x) (neg.f64 (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (/.f64 1 x) x)
(fabs.f64 (/.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (/.f64 1 x) x)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1/2 x) x)
	1.3b	(-.f64 1 (cos.f64 x))
✓	18.1b	(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 (-.f64 1 (cos.f64 x)) 2))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2250×	`bool.json-1`
1292×	`rational.json-simplify-35`
962×	`bool.json-2`
934×	`rational.json-1`
934×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	141	48
2	420	48
3	1064	36
4	3029	36
5	7898	36

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (/.f64 1/2 x) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 x 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4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 x) (/.f64 (neg.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 1/2 x) x) 4) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (*.f64 (*.f64 x x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 x)) (+.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (+.f64 (/.f64 (neg.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (neg.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (+.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8)) (*.f64 2 (*.f64 (*.f64 x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 2 (/.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/2 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 -1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/2 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 1/2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 2 (*.f64 8 (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 8 (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) 2) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 x (*.f64 x (*.f64 x 4))) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 4) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) 8)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 x)) (*.f64 1/4 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 x)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1/2 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (/.f64 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 x x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) 2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 8 (*.f64 x (*.f64 x x)))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 8 (*.f64 x (*.f64 x x)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 x (/.f64 -1/2 x)) (*.f64 x (*.f64 (*.f64 x 4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (/.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (/.f64 1/2 x) x) (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (/.f64 1/2 x) x) (/.f64 (/.f64 1/2 x) x))))))

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1778×	`rational.json-simplify-35`
1012×	`rational.json-simplify-40`
942×	`rational.json-simplify-49`
938×	`rational.json-simplify-46`
654×	`rational.json-simplify-38`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	2445
1	617	2413
2	1920	2339
3	5532	2291

Stop Event

1×	node limit

Counts

107 → 131

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (/.f64 1/2 x) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 2 (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))))
(/.f64 2 (+.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (+.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 x (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 x (.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (*.f64 x 4)))
(/.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 2)
(/.f64 4 (+.f64 (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 -1/2 x) (/.f64 (neg.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (*.f64 (/.f64 (/.f64 1/2 x) x) 4) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (.f64 (*.f64 x x) 8))
(/.f64 (*.f64 2 (/.f64 2 x)) (+.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 1 x)) (+.f64 (/.f64 (neg.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (neg.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)) 4)
(/.f64 (/.f64 2 x) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 x) (+.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) (.f64 2 (.f64 (*.f64 x x) 8)))
(/.f64 (.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) 8)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 x (/.f64 -1/2 x)))
(/.f64 (+.f64 (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (*.f64 x 4))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x))) (.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 2 (/.f64 x (/.f64 -1/2 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (.f64 x (*.f64 x 4))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (.f64 x -2))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 x (+.f64 x x)))
(+.f64 (/.f64 (/.f64 1/2 x) x) 0)
(+.f64 0 (/.f64 (/.f64 1/2 x) x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1/2 x) x)))
(-.f64 (/.f64 (/.f64 1/2 x) x) 0)
(-.f64 0 (/.f64 (/.f64 -1/2 x) x))
(.f64 1/2 (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1/2 x) x) 1)
(*.f64 1 (/.f64 (/.f64 1/2 x) x))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(*.f64 2 (/.f64 (/.f64 (/.f64 1/2 x) x) 2))
(.f64 (+.f64 x x) (/.f64 2 (.f64 8 (.f64 x (.f64 x x)))))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))
(*.f64 (/.f64 1 x) (/.f64 1/2 x))
(.f64 (/.f64 1 (.f64 x x)) 1/2)
(*.f64 -1 (/.f64 (/.f64 -1/2 x) x))
(.f64 (.f64 x 4) (/.f64 1 (.f64 8 (.f64 x (*.f64 x x)))))
(.f64 (.f64 x 4) (*.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) 2) (/.f64 1/2 x)))
(.f64 4 (.f64 (/.f64 x (.f64 x (.f64 x 4))) (/.f64 1/2 x)))
(.f64 4 (.f64 (/.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)))
(*.f64 (/.f64 -1/2 x) (/.f64 -1 x))
(.f64 (.f64 (+.f64 x x) 4) (.f64 (/.f64 1 (.f64 (*.f64 x x) 8)) (/.f64 1/2 x)))
(.f64 (.f64 2 (/.f64 2 x)) (*.f64 1/4 (/.f64 1/2 x)))
(*.f64 (neg.f64 (/.f64 1 x)) (/.f64 -1/2 x))
(*.f64 (/.f64 2 x) (/.f64 1/2 (+.f64 x x)))
(.f64 (/.f64 2 x) (.f64 1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 1/2 x) 2))
(*.f64 (/.f64 (/.f64 -1/2 x) x) -1)
(*.f64 (/.f64 -1 x) (/.f64 -1/2 x))
(*.f64 (/.f64 1/2 (+.f64 x x)) (/.f64 2 x))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 2)
(.f64 (.f64 1/2 (/.f64 1/2 x)) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) 2) 2)
(*.f64 (/.f64 (/.f64 1/2 x) 2) (/.f64 2 x))
(.f64 (/.f64 1 (.f64 8 (.f64 x (.f64 x x)))) (*.f64 x 4))
(.f64 (/.f64 2 (.f64 8 (.f64 x (.f64 x x)))) (+.f64 x x))
(neg.f64 (/.f64 (/.f64 -1/2 x) x))
(fabs.f64 (/.f64 (/.f64 1/2 x) x))
(fabs.f64 (/.f64 (/.f64 x (/.f64 -1/2 x)) (.f64 x (.f64 (.f64 x 4) (.f64 x x)))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1/2 x) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (+.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 x (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 x (.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (+.f64 (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 -1/2 x) (/.f64 (neg.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (/.f64 1/2 x) x) 4) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8) (.f64 (*.f64 x x) 8))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 2 x)) (+.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 2 x) (/.f64 2 (+.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))))
(*.f64 2 (/.f64 (/.f64 2 x) (+.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (/.f64 1 x)) (+.f64 (/.f64 (neg.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (neg.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (neg.f64 (/.f64 1 x)) (+.f64 (/.f64 (neg.f64 x) (.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (neg.f64 x) (.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 -1 x) (+.f64 (/.f64 x (.f64 2 (+.f64 (cos.f64 x) -1))) (/.f64 x (.f64 2 (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 x) (+.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 8)) (.f64 2 (.f64 (*.f64 x x) 8)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x))) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 x (/.f64 -1/2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x))) (.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)))) 16)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 2 (/.f64 x (/.f64 -1/2 x))))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 1 (cos.f64 x)))) (neg.f64 (.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 x (/.f64 -1/2 x))))
(/.f64 (+.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 2 (/.f64 x (/.f64 -1/2 x))))
(/.f64 (.f64 4 (+.f64 (cos.f64 x) -1)) (.f64 2 (/.f64 x (/.f64 -1/2 x))))
(/.f64 (/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) 2) (/.f64 x (/.f64 -1/2 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (.f64 x (*.f64 x 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 x (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (/.f64 1/2 x) x) 0)
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(+.f64 0 (/.f64 (/.f64 1/2 x) x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1/2 x) x)))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(-.f64 (/.f64 (/.f64 1/2 x) x) 0)
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(-.f64 0 (/.f64 (/.f64 -1/2 x) x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(.f64 1/2 (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 1 x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1/2 x) x) 1)
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(*.f64 1 (/.f64 (/.f64 1/2 x) x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(*.f64 2 (/.f64 (/.f64 (/.f64 1/2 x) x) 2))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(.f64 (+.f64 x x) (/.f64 2 (.f64 8 (.f64 x (.f64 x x)))))
(.f64 (+.f64 x x) (/.f64 1/4 (.f64 x (*.f64 x x))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1/4 x) x) x))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 x) (/.f64 (/.f64 1/2 x) x)))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 x x) (/.f64 (/.f64 1/2 x) x)))
(.f64 x (.f64 (/.f64 1/2 (.f64 x x)) (/.f64 x (.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 1/2 x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) 1/2)
(.f64 1/2 (/.f64 1 (.f64 x x)))
(*.f64 -1 (/.f64 (/.f64 -1/2 x) x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(.f64 (.f64 x 4) (/.f64 1 (.f64 8 (.f64 x (*.f64 x x)))))
(.f64 (.f64 x 4) (/.f64 1/8 (.f64 x (.f64 x x))))
(.f64 x (.f64 4 (/.f64 (/.f64 1/8 x) (*.f64 x x))))
(.f64 (.f64 x 4) (/.f64 (/.f64 1/8 x) (*.f64 x x)))
(.f64 4 (.f64 x (/.f64 (/.f64 1/8 x) (*.f64 x x))))
(.f64 (.f64 x 4) (*.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) 2) (/.f64 1/2 x)))
(.f64 (/.f64 (/.f64 1/4 x) x) (.f64 (/.f64 1/2 x) (*.f64 x 4)))
(.f64 (/.f64 (/.f64 1/4 x) x) (.f64 x (*.f64 4 (/.f64 1/2 x))))
(.f64 x (.f64 (/.f64 (/.f64 1/4 x) x) (*.f64 4 (/.f64 1/2 x))))
(.f64 x (.f64 (*.f64 4 (/.f64 1/2 x)) (/.f64 (/.f64 1/4 x) x)))
(.f64 4 (.f64 (/.f64 x (.f64 x (.f64 x 4))) (/.f64 1/2 x)))
(.f64 4 (.f64 (/.f64 1/2 x) (/.f64 x (.f64 x (.f64 x 4)))))
(.f64 4 (/.f64 x (/.f64 (.f64 x (*.f64 x 4)) (/.f64 1/2 x))))
(.f64 4 (.f64 (/.f64 1/2 x) (/.f64 (/.f64 (/.f64 x 4) x) x)))
(.f64 4 (/.f64 1/8 (.f64 x x)))
(.f64 4 (.f64 (/.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)))
(.f64 4 (.f64 (/.f64 1/2 x) (/.f64 x (.f64 x (.f64 x 4)))))
(.f64 4 (/.f64 x (/.f64 (.f64 x (*.f64 x 4)) (/.f64 1/2 x))))
(.f64 4 (.f64 (/.f64 1/2 x) (/.f64 (/.f64 (/.f64 x 4) x) x)))
(.f64 4 (/.f64 1/8 (.f64 x x)))
(*.f64 (/.f64 -1/2 x) (/.f64 -1 x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(.f64 (.f64 (+.f64 x x) 4) (.f64 (/.f64 1 (.f64 (*.f64 x x) 8)) (/.f64 1/2 x)))
(.f64 (.f64 4 (+.f64 x x)) (.f64 (/.f64 1/2 x) (/.f64 1 (.f64 (*.f64 x x) 8))))
(.f64 (/.f64 1/8 (.f64 x x)) (.f64 (/.f64 1/2 x) (.f64 x 8)))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 1/8 (.f64 x x)) (.f64 x 8)))
(.f64 (/.f64 1/8 (.f64 x x)) (.f64 8 (.f64 x (/.f64 1/2 x))))
(.f64 (.f64 2 (/.f64 2 x)) (*.f64 1/4 (/.f64 1/2 x)))
(.f64 (.f64 2 (/.f64 2 x)) (*.f64 (/.f64 1/2 x) 1/4))
(.f64 2 (.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) 1/4)))
(.f64 1/2 (.f64 (/.f64 1/2 x) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 1/2 (/.f64 2 x)))
(*.f64 (neg.f64 (/.f64 1 x)) (/.f64 -1/2 x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1/2 (+.f64 x x)))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(.f64 (/.f64 2 x) (.f64 1/2 (/.f64 1/2 x)))
(.f64 (.f64 2 (/.f64 2 x)) (*.f64 (/.f64 1/2 x) 1/4))
(.f64 2 (.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) 1/4)))
(.f64 1/2 (.f64 (/.f64 1/2 x) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 1/2 x) 2))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1/2 x) x) -1)
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 -1/2 x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 1/2 (+.f64 x x)) (/.f64 2 x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 2)
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(.f64 (.f64 1/2 (/.f64 1/2 x)) (/.f64 2 x))
(.f64 (.f64 2 (/.f64 2 x)) (*.f64 (/.f64 1/2 x) 1/4))
(.f64 2 (.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) 1/4)))
(.f64 1/2 (.f64 (/.f64 1/2 x) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) 2) 2)
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1/2 x) 2) (/.f64 2 x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(.f64 (/.f64 1 (.f64 8 (.f64 x (.f64 x x)))) (*.f64 x 4))
(.f64 (.f64 x 4) (/.f64 1/8 (.f64 x (.f64 x x))))
(.f64 x (.f64 4 (/.f64 (/.f64 1/8 x) (*.f64 x x))))
(.f64 (.f64 x 4) (/.f64 (/.f64 1/8 x) (*.f64 x x)))
(.f64 4 (.f64 x (/.f64 (/.f64 1/8 x) (*.f64 x x))))
(.f64 (/.f64 2 (.f64 8 (.f64 x (.f64 x x)))) (+.f64 x x))
(.f64 (+.f64 x x) (/.f64 1/4 (.f64 x (*.f64 x x))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1/4 x) x) x))
(neg.f64 (/.f64 (/.f64 -1/2 x) x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(fabs.f64 (/.f64 (/.f64 1/2 x) x))
(/.f64 (/.f64 1/2 x) x)
(/.f64 1/2 (*.f64 x x))
(fabs.f64 (/.f64 (/.f64 x (/.f64 -1/2 x)) (.f64 x (.f64 (.f64 x 4) (.f64 x x)))))
(fabs.f64 (/.f64 x (.f64 (/.f64 -1/2 x) (.f64 x (.f64 x (.f64 x (*.f64 x 4)))))))
(fabs.f64 (/.f64 x (.f64 (.f64 x 4) (.f64 (.f64 x (*.f64 x x)) (/.f64 -1/2 x)))))
(/.f64 (fabs.f64 (/.f64 (/.f64 (/.f64 x (/.f64 -1/2 x)) x) (.f64 x 4))) (.f64 x x))
(fabs.f64 (/.f64 x (/.f64 -1/2 (/.f64 (/.f64 (/.f64 1/4 x) x) x))))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(-.f64 1 (cos.f64 x))
✓	6.0b	(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (*.f64 x x))))))
✓	6.7b	(/.f64 x (.f64 x (.f64 x (*.f64 x x))))
✓	21.7b	(.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (.f64 x x)))))

Compiler

Compiled 63 to 16 computations (74.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (.f64 x x)))))
0.0ms	x	@	inf	(.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (.f64 x x)))))
0.0ms	x	@	0	(.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (.f64 x x)))))
0.0ms	x	@	0	(/.f64 x (.f64 x (.f64 x (*.f64 x x))))
0.0ms	x	@	-inf	(/.f64 x (.f64 x (.f64 x (*.f64 x x))))

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`bool.json-1`
1624×	`bool.json-2`
1596×	`rational.json-1`
1596×	`rational.json-2`
1400×	`bool.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	113
1	143	113
2	448	77
3	1324	71
4	4840	71

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/.f64 x (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (*.f64 x x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 x (*.f64 x x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 x x)))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 x (*.f64 x (+.f64 x x))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (*.f64 x (*.f64 x (neg.f64 (*.f64 x x)))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 x (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) 4) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 x (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 4 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (*.f64 x (*.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 4) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x (*.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (*.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 x (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (*.f64 x (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 (neg.f64 x) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 x (*.f64 x (neg.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 x (*.f64 x (*.f64 x (neg.f64 (*.f64 x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 (neg.f64 x) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x (neg.f64 (*.f64 x x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 x x) (*.f64 -1 (*.f64 x (*.f64 x (neg.f64 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 x (*.f64 x (neg.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (*.f64 x (*.f64 x x))) (/.f64 1 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (*.f64 x (*.f64 x x))) (/.f64 1 (*.f64 x (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))

simplify223.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1682×	`rational.json-simplify-35`
1418×	`rational.json-simplify-51`
1376×	`rational.json-simplify-53`
1170×	`rational.json-simplify-49`
628×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2565
1	578	2541
2	1753	2505
3	4601	2497

Stop Event

1×	node limit

Counts

105 → 108

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/40320 (pow.f64 x 5)) (.f64 1/2 (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 0)
(/.f64 1 (/.f64 (.f64 x (.f64 x x)) (-.f64 1 (cos.f64 x))))
(/.f64 x (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 1 (.f64 x (.f64 x x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x)
(/.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x (*.f64 x (+.f64 x x)))) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 2 (/.f64 (.f64 x (.f64 x (+.f64 x x))) (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 x) (/.f64 (.f64 x (.f64 x (neg.f64 (*.f64 x x)))) (-.f64 1 (cos.f64 x))))
(/.f64 -1 (/.f64 (neg.f64 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (*.f64 x x))) 2)
(/.f64 4 (/.f64 (.f64 (.f64 x (*.f64 x x)) 4) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (*.f64 x (+.f64 x x))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 4 (.f64 x (.f64 x x))))
(/.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) 4) 4)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 x))
(/.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 4) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 4)) 8)
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (*.f64 x x))) 4)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (.f64 x (.f64 x x))))
(+.f64 (/.f64 1 (.f64 x (.f64 x x))) 0)
(+.f64 0 (/.f64 1 (.f64 x (.f64 x x))))
(-.f64 (/.f64 1 (.f64 x (.f64 x x))) 0)
(.f64 1 (/.f64 1 (.f64 x (*.f64 x x))))
(.f64 x (/.f64 1 (.f64 (.f64 x x) (.f64 x x))))
(.f64 (.f64 x x) (/.f64 1 (.f64 x (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 1 (.f64 x (*.f64 x x))) 1)
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 (.f64 x x) (.f64 x x))))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 (.f64 (.f64 x x) (*.f64 x x))) 1))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 1 x))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 2 (/.f64 x (.f64 x (.f64 x (.f64 x (+.f64 x x))))))
(.f64 2 (/.f64 (/.f64 1 (.f64 x (*.f64 x x))) 2))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 (.f64 x x) (.f64 x x))))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 (.f64 (.f64 x x) (*.f64 x x))) 1))
(.f64 (neg.f64 x) (/.f64 1 (.f64 (neg.f64 x) (.f64 x (.f64 x x)))))
(.f64 -1 (/.f64 x (.f64 x (.f64 x (neg.f64 (.f64 x x))))))
(.f64 -1 (.f64 (/.f64 x (.f64 x (.f64 x (neg.f64 (*.f64 x x))))) 1))
(.f64 -1 (/.f64 x (.f64 (neg.f64 x) (.f64 x (.f64 x x)))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 x (.f64 (.f64 x (.f64 x x)) 4))))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (.f64 (.f64 x x) (.f64 x x))) x)
(.f64 (/.f64 1 x) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) 1/2)
(.f64 (/.f64 x (.f64 x (.f64 x (neg.f64 (.f64 x x))))) -1)
(.f64 (/.f64 1/2 (.f64 (.f64 x x) (.f64 x x))) (+.f64 x x))
(.f64 (/.f64 -1 (.f64 (.f64 x x) (.f64 x x))) (neg.f64 x))
(.f64 1/2 (/.f64 2 (.f64 x (*.f64 x x))))
(.f64 1/2 (/.f64 (+.f64 x x) (.f64 -1 (.f64 x (.f64 x (neg.f64 (*.f64 x x)))))))
(neg.f64 (/.f64 x (.f64 x (.f64 x (neg.f64 (*.f64 x x))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))) 2)
(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4) 4)
(/.f64 (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4)) 8)

Outputs
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (*.f64 1/720 (pow.f64 x 3)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/720 (pow.f64 x 3)) (*.f64 x -1/24)))
(+.f64 (.f64 x -1/24) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/40320 (pow.f64 x 5)) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/40320 (pow.f64 x 5)))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (.f64 -1/40320 (pow.f64 x 5))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (+.f64 (.f64 x -1/24) (.f64 1/720 (pow.f64 x 3))) (.f64 -1/40320 (pow.f64 x 5))))
(+.f64 (.f64 x -1/24) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/720 (pow.f64 x 3)) (.f64 -1/40320 (pow.f64 x 5)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 3))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2)))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 1 (/.f64 (.f64 x (.f64 x x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 x (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 1 (.f64 x (.f64 x x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x (*.f64 x (+.f64 x x)))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 2 (/.f64 (.f64 x (.f64 x (+.f64 x x))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (neg.f64 x) (/.f64 (.f64 x (.f64 x (neg.f64 (*.f64 x x)))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 -1 (/.f64 (neg.f64 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (*.f64 x x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 4 (/.f64 (.f64 (.f64 x (*.f64 x x)) 4) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (*.f64 x (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 4 (.f64 x (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 (*.f64 x x)) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 4) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 4)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (*.f64 x x))) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(+.f64 (/.f64 1 (.f64 x (.f64 x x))) 0)
(/.f64 1 (.f64 x (.f64 x x)))
(+.f64 0 (/.f64 1 (.f64 x (.f64 x x))))
(/.f64 1 (.f64 x (.f64 x x)))
(-.f64 (/.f64 1 (.f64 x (.f64 x x))) 0)
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 1 (/.f64 1 (.f64 x (*.f64 x x))))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 x (/.f64 1 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (.f64 x x) (/.f64 1 (.f64 x (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (.f64 x x) (/.f64 1 (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (.f64 x (/.f64 (/.f64 1 x) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (/.f64 x (.f64 x (.f64 x x))) x)
(.f64 (/.f64 1 (.f64 x (*.f64 x x))) 1)
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 (.f64 (.f64 x x) (*.f64 x x))) 1))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(.f64 (/.f64 1 x) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (/.f64 1 x) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (fabs.f64 (/.f64 x x)) x))
(.f64 2 (/.f64 x (.f64 x (.f64 x (.f64 x (+.f64 x x))))))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 2 (/.f64 (/.f64 1 (.f64 x (*.f64 x x))) 2))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 (.f64 (.f64 x x) (*.f64 x x))) 1))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (neg.f64 x) (/.f64 1 (.f64 (neg.f64 x) (.f64 x (.f64 x x)))))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 -1 (/.f64 x (.f64 x (.f64 x (neg.f64 (.f64 x x))))))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 -1 (.f64 (/.f64 x (.f64 x (.f64 x (neg.f64 (*.f64 x x))))) 1))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 -1 (/.f64 x (.f64 (neg.f64 x) (.f64 x (.f64 x x)))))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (.f64 x 4) (/.f64 1 (.f64 x (.f64 (.f64 x (.f64 x x)) 4))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 (.f64 x (.f64 x x)) (.f64 x 4))))
(.f64 (.f64 x 4) (/.f64 (/.f64 1 x) (.f64 (.f64 x x) (*.f64 x 4))))
(.f64 (.f64 x 4) (/.f64 (/.f64 1 x) (.f64 x (.f64 x (*.f64 x 4)))))
(.f64 (/.f64 1 (.f64 (.f64 x x) (.f64 4 (.f64 x x)))) (.f64 x 4))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (.f64 x x) (/.f64 1 (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (.f64 x (/.f64 (/.f64 1 x) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (/.f64 x (.f64 x (.f64 x x))) x)
(.f64 (/.f64 1 (.f64 (.f64 x x) (.f64 x x))) x)
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (/.f64 1 x) (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) 1/2)
(.f64 1/2 (/.f64 2 (.f64 x (*.f64 x x))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 2 x) x) x))
(.f64 (/.f64 x (.f64 x (.f64 x (neg.f64 (.f64 x x))))) -1)
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (/.f64 1/2 (.f64 (.f64 x x) (.f64 x x))) (+.f64 x x))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 (/.f64 -1 (.f64 (.f64 x x) (.f64 x x))) (neg.f64 x))
(/.f64 1 (.f64 x (.f64 x x)))
(.f64 1/2 (/.f64 2 (.f64 x (*.f64 x x))))
(*.f64 1/2 (/.f64 (/.f64 (/.f64 2 x) x) x))
(.f64 1/2 (/.f64 (+.f64 x x) (.f64 -1 (.f64 x (.f64 x (neg.f64 (*.f64 x x)))))))
(/.f64 1 (.f64 x (.f64 x x)))
(neg.f64 (/.f64 x (.f64 x (.f64 x (neg.f64 (*.f64 x x))))))
(/.f64 1 (.f64 x (.f64 x x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (*.f64 x x))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval197.0ms (1.6%)

Compiler: Compiled 8684 to 5127 computations (41% saved)

prune158.0ms (1.3%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	508	13	521
Fresh	3	1	4
Picked	0	1	1
Done	1	4	5
Total	512	19	531

Error

0.1b

Counts

531 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.1b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))
	31.7b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
	33.1b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
✓	33.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	39.0b	(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
▶	32.6b	(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
✓	30.6b	(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
✓	30.8b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
	32.3b	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
	45.1b	(.f64 (/.f64 (fabs.f64 (/.f64 (/.f64 (/.f64 x (/.f64 -1/2 x)) x) (.f64 x 4))) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
✓	33.1b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
	33.2b	(.f64 (/.f64 1 (.f64 x x)) (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1))
	39.0b	(.f64 (.f64 (+.f64 x x) (/.f64 1/4 (.f64 x (.f64 x x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
	39.0b	(.f64 x (/.f64 (/.f64 2 (.f64 x (*.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
▶	30.0b	(*.f64 x (/.f64 1/2 x))
▶	30.7b	(.f64 x (+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (.f64 1/720 (pow.f64 x 3))))
▶	30.8b	(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
✓	43.5b	(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (*.f64 x x))))))
	29.9b	1/2

Compiler

Compiled 419 to 299 computations (28.6% saved)

localize621.0ms (5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 1/2 x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`rational.json-simplify-35`
1038×	`bool.json-1`
1038×	`bool.json-2`
998×	`rational.json-1`
998×	`rational.json-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	63	13
2	196	13
3	505	13
4	1410	1
5	4152	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x (/.f64 1/2 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

localize81.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x)))
✓	0.2b	(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
✓	0.3b	(*.f64 x -1/24)

Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
0.0ms	x	@	0	(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
0.0ms	x	@	inf	(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
0.0ms	x	@	0	(*.f64 x -1/24)
0.0ms	x	@	-inf	(*.f64 x -1/24)

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational.json-simplify-35`
1124×	`bool.json-1`
1124×	`bool.json-2`
1070×	`rational.json-1`
1070×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	119	63
2	326	63
3	655	51
4	1375	51
5	3544	51

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs
(*.f64 x -1/24)
(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/24) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/48) (*.f64 x -1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -1/24) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x -1/6)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x -1/6))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 x -1/6))) (*.f64 2 (*.f64 2 (*.f64 x -1/6)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x -1/24) (*.f64 x -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x -1/24) (*.f64 x -1/24))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 1/2)) (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 4)))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) (*.f64 x (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) (*.f64 x (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))))

simplify228.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1882×	`rational.json-simplify-2`
1278×	`rational.json-simplify-35`
1106×	`rational.json-simplify-59`
926×	`rational.json-simplify-46`
880×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1209
1	186	1209
2	511	1209
3	1379	1209
4	2817	1209
5	3352	1209
6	3774	1209
7	4893	1209
8	5784	1209
9	7361	1209

Stop Event

1×	node limit

Counts

75 → 48

Calls

Call 1

Inputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 -1/24 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(*.f64 -1/24 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (*.f64 x -1/24) 0)
(+.f64 0 (*.f64 x -1/24))
(+.f64 (.f64 x -1/48) (.f64 x -1/48))
(-.f64 (*.f64 x -1/24) 0)
(/.f64 (*.f64 x -1/24) 1)
(/.f64 (*.f64 x -1/12) 2)
(/.f64 (*.f64 x -1/6) 4)
(/.f64 (.f64 2 (.f64 x -1/6)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 x -1/6))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 x -1/6))) (.f64 2 (.f64 2 (.f64 x -1/6)))) 32)
(+.f64 (.f64 x (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 0)
(+.f64 0 (.f64 x (+.f64 (.f64 x -1/24) (/.f64 1/2 x))))
(+.f64 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (.f64 x 1/2)) (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (.f64 x 1/2)))
(-.f64 (.f64 x (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 0)
(/.f64 (.f64 x (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (+.f64 x x)) 2)
(/.f64 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (.f64 x 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (.f64 x 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (.f64 x 4))))) 32)
(-.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 0)
(.f64 1/2 (.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 2))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(.f64 1 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)))
(.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 1)
(.f64 2 (.f64 1/2 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))
(.f64 4 (/.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4))
(.f64 (.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 2) 1/2)
(.f64 (.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4))
(.f64 (/.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4) 4)
(.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) 1/2)
(/.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 1)
(/.f64 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4)))) 32)

Outputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(*.f64 -1/24 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 -1/24 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 x -1/24) 0)
(*.f64 -1/24 x)
(+.f64 0 (*.f64 x -1/24))
(*.f64 -1/24 x)
(+.f64 (.f64 x -1/48) (.f64 x -1/48))
(*.f64 -1/24 x)
(-.f64 (*.f64 x -1/24) 0)
(*.f64 -1/24 x)
(/.f64 (*.f64 x -1/24) 1)
(*.f64 -1/24 x)
(/.f64 (*.f64 x -1/12) 2)
(*.f64 -1/24 x)
(/.f64 (*.f64 x -1/6) 4)
(*.f64 -1/24 x)
(/.f64 (.f64 2 (.f64 x -1/6)) 8)
(*.f64 -1/24 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 x -1/6))) 16)
(*.f64 -1/24 x)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 x -1/6))) (.f64 2 (.f64 2 (.f64 x -1/6)))) 32)
(*.f64 -1/24 x)
(+.f64 (.f64 x (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 0)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 0 (.f64 x (+.f64 (.f64 x -1/24) (/.f64 1/2 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (.f64 x 1/2)) (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (.f64 x 1/2)))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(-.f64 (.f64 x (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 0)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 1)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (+.f64 x x)) 2)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 4)) 4)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (.f64 x 4))) 8)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (*.f64 x 4)))) 16)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (.f64 x 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) (.f64 x 4))))) 32)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(-.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 0)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1/2 (.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 2))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 1)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 4 (/.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 2) 1/2)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4) 1/4)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (.f64 1/2 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1/4 (.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (/.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4) 4)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) 1/2)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 1)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 2) 2)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4) 4)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 4)) 8)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4))) 16)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 4)))) 32)
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
✓	0.1b	(/.f64 x (-.f64 1 (cos.f64 x)))
✓	0.9b	(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
	1.3b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
1.0ms	x	@	-inf	(/.f64 x (-.f64 1 (cos.f64 x)))
1.0ms	x	@	inf	(/.f64 x (-.f64 1 (cos.f64 x)))
0.0ms	x	@	inf	(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
0.0ms	x	@	0	(/.f64 x (-.f64 1 (cos.f64 x)))

rewrite135.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`bool.json-1`
1328×	`bool.json-2`
1300×	`rational.json-1`
1300×	`rational.json-2`
1300×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	115	69
2	394	63
3	1126	63
4	4126	63

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 x) (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 2 (*.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 2 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 x)) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 2 (*.f64 x x)))) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x 4))) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 x (neg.f64 x)))) (*.f64 2 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x -2))) (*.f64 2 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))))))

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

simplify152.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1136×	`rational.json-simplify-2`
1074×	`rational.json-simplify-35`
948×	`rational.json-simplify-53`
920×	`rational.json-simplify-50`
698×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	339	4388
1	1115	4364
2	3626	4336
3	5660	4312

Stop Event

1×	node limit

Counts

180 → 192

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 2 x)
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 1/3024 (pow.f64 x 5)))))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (.f64 1/120 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (*.f64 x x))))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (.f64 x x)))
(*.f64 -1 (/.f64 (/.f64 1 x) (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (.f64 2 (.f64 2 (*.f64 x x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (.f64 x (.f64 x 4))))
(.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (.f64 2 (.f64 x (neg.f64 x)))))
(.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (.f64 x (.f64 x -2))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))) 1/2)
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 -1 (.f64 x x)) (+.f64 (cos.f64 x) -1))
(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) -1)
(.f64 (/.f64 1 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) (*.f64 2 (/.f64 1 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (*.f64 x x))) 2)
(.f64 (/.f64 1 (.f64 2 (.f64 2 (.f64 x x)))) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (/.f64 1 (.f64 x (.f64 x 4))) (.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (/.f64 1 (.f64 2 (.f64 x (neg.f64 x)))) (.f64 2 (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 1 (.f64 x (.f64 x -2))) (.f64 2 (+.f64 (cos.f64 x) -1)))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) 2)
(+.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 x (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 0)
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(.f64 2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 -1 (/.f64 x (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) 1/2)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) -1)
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (+.f64 x x))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (neg.f64 x))
(.f64 1/2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))
(.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2) 2)
(.f64 (.f64 x -2) (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1/2) (+.f64 x x))
(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 x 4))
(.f64 (/.f64 1 (.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 x -2))
(neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))
(+.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 0)
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 x (*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 x (.f64 -1 (.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)
(/.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))))
(/.f64 2 (/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 x (neg.f64 x))))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (+.f64 x x)) 2)
(/.f64 (+.f64 x x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(/.f64 (+.f64 x x) (*.f64 -2 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (+.f64 x x) (.f64 -2 (.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 x x) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -2 x)))
(/.f64 (neg.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (neg.f64 x) (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)))
(/.f64 (neg.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 x)))
(/.f64 (neg.f64 x) (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 -1/2 x)))
(/.f64 -1 (/.f64 (/.f64 1 x) (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 -1 (-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 -1 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 4 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4))
(/.f64 4 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)))
(/.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) (.f64 2 (/.f64 1 x)))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) (/.f64 2 x))
(/.f64 (.f64 x 4) (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))
(/.f64 (.f64 x 4) (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))
(/.f64 (*.f64 x 4) (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 x 4) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) x))
(/.f64 (.f64 x 4) (.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (.f64 x (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)) 4)
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)) -1)
(/.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 -1 x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x x) (/.f64 (+.f64 x x) (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (.f64 2 (.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) (.f64 2 (*.f64 2 (/.f64 1 x))))
(/.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) (.f64 (/.f64 1 x) 4))
(/.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 (/.f64 1 x) (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))))
(/.f64 (.f64 2 (.f64 x -2)) (+.f64 (.f64 (/.f64 1 x) (.f64 2 (+.f64 (cos.f64 x) -1))) (.f64 (/.f64 1 x) (.f64 2 (+.f64 (cos.f64 x) -1)))))
(/.f64 (.f64 2 (.f64 x -2)) (.f64 (/.f64 1 x) (.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))))
(/.f64 (.f64 2 (.f64 2 (.f64 x x))) (.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (.f64 2 (.f64 x (neg.f64 x))) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(/.f64 (.f64 2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) -2)
(/.f64 (.f64 2 (.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4))) 8)
(/.f64 (.f64 2 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (.f64 2 (/.f64 -1 x)))
(/.f64 (.f64 x (.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (.f64 x (.f64 x -2)) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(/.f64 (.f64 x (.f64 x -2)) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (.f64 (.f64 2 (/.f64 1 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (/.f64 -1 x))
(/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1/2 x) x))
(/.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 -1 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2) (/.f64 1/2 x))
(/.f64 (.f64 x -2) (.f64 (/.f64 1 x) (*.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x -2) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (.f64 x -2) (+.f64 (.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x -2) (/.f64 -2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 x -2) (/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) x))
(/.f64 (.f64 x -2) (.f64 (/.f64 1 x) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (.f64 x -2) (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (.f64 x -2) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 -1 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (+.f64 x x))) -2)
(/.f64 (+.f64 (.f64 x (.f64 x 4)) (.f64 x (.f64 x 4))) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (+.f64 (.f64 x (.f64 x -2)) (.f64 x (.f64 x -2))) (.f64 2 (.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (+.f64 x x) (+.f64 (cos.f64 x) -1)) (/.f64 -2 x))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x)) 4)
(/.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) (/.f64 1 x)) 4)
(/.f64 (/.f64 (.f64 2 (.f64 x 4)) (/.f64 1 x)) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (/.f64 (.f64 2 (.f64 x -2)) (/.f64 1 x)) (.f64 2 (.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (/.f64 1 x)) -1)
(/.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) -1)
(/.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 (cos.f64 x) -1) x)) -2)
(/.f64 (/.f64 x (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))) -1)
(/.f64 (/.f64 (+.f64 x x) (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))) -2)
(/.f64 (/.f64 (.f64 x -2) (.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))) 2)
(/.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(/.f64 (/.f64 (.f64 2 (.f64 x x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (/.f64 (neg.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 -1/2 x))
(/.f64 (/.f64 (.f64 x -2) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 -1 x))
(/.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 (/.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 x)) -1)
(/.f64 (/.f64 (.f64 x x) (.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(/.f64 (neg.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) (-.f64 0 (.f64 2 (/.f64 1 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 1 x))
(/.f64 (neg.f64 (.f64 2 (.f64 x x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (.f64 x (.f64 x 4))) (-.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (neg.f64 (.f64 x (.f64 x -2))) (-.f64 0 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (.f64 2 (/.f64 1 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x)))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 2 x)
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 x 1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 1/120 (pow.f64 x 3))))
(+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 1/3024 (pow.f64 x 5)))))
(+.f64 (.f64 x 1/6) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 1/3024 (pow.f64 x 5))) (.f64 1/120 (pow.f64 x 3))))
(+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 x 1/6) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 1/3024 (pow.f64 x 5)))))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
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(+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/120) (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 2 (.f64 (pow.f64 x 4) 1/120)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/120) (.f64 (pow.f64 x 6) 1/3024)) (*.f64 (pow.f64 x 2) 1/6)))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 (pow.f64 x 4) 1/120) (*.f64 (pow.f64 x 6) 1/3024))))
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(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
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(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
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(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
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(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (.f64 x x)))
(*.f64 -1 (/.f64 (/.f64 1 x) (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
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(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (/.f64 2 x) x) 1/2))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 -1 (.f64 x x)) (+.f64 (cos.f64 x) -1))
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(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
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(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
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(/.f64 4 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 4 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) (.f64 2 (/.f64 1 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) (/.f64 2 x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x 4) (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x 4) (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x 4) (/.f64 4 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x 4) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x 4) (.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4)) 4)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 x x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)) -1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 -1 x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x x) (/.f64 (+.f64 x x) (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) (.f64 2 (*.f64 2 (/.f64 1 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) (.f64 (/.f64 1 x) 4))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 (/.f64 1 x) (.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 x -2)) (+.f64 (.f64 (/.f64 1 x) (.f64 2 (+.f64 (cos.f64 x) -1))) (.f64 (/.f64 1 x) (.f64 2 (+.f64 (cos.f64 x) -1)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 x -2)) (.f64 (/.f64 1 x) (.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 x x))) (.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 x (neg.f64 x))) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))) -2)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (.f64 x (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4))) 8)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 2 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (.f64 2 (/.f64 -1 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x (.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x (.f64 x -2)) (*.f64 2 (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x (.f64 x -2)) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (.f64 (.f64 2 (/.f64 1 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 2 (/.f64 1 x))))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (.f64 (/.f64 1 x) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (/.f64 -1 x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1/2 x) x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 -1 (*.f64 x x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1/2) (/.f64 1/2 x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x -2) (.f64 (/.f64 1 x) (*.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x -2) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x -2) (+.f64 (.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x -2) (/.f64 -2 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x -2) (/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x -2) (.f64 (/.f64 1 x) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x -2) (.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 x -2) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 -1 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (+.f64 x x))) -2)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (+.f64 (.f64 x (.f64 x 4)) (.f64 x (.f64 x 4))) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (+.f64 (.f64 x (.f64 x -2)) (.f64 x (.f64 x -2))) (.f64 2 (.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (+.f64 x x) (+.f64 (cos.f64 x) -1)) (/.f64 -2 x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x)) 4)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 4) (/.f64 1 x)) 4)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 x 4)) (/.f64 1 x)) (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 x -2)) (/.f64 1 x)) (.f64 2 (.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (/.f64 1 x)) -1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) -1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 (cos.f64 x) -1) x)) -2)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 x (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))) -1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (+.f64 x x) (*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))) -2)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (.f64 x -2) (.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))) 2)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 x x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 -1/2 x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (.f64 x -2) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 -1 x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 x)) -1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (.f64 x x) (.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2)) (-.f64 0 (.f64 2 (/.f64 1 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (.f64 2 (.f64 x x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (.f64 x (.f64 x 4))) (-.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) 4)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (.f64 x (.f64 x -2))) (-.f64 0 (*.f64 2 (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (.f64 2 (/.f64 1 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 2 (/.f64 1 x))))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (.f64 (/.f64 1 x) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 x) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) x))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))
✓	0.1b	(/.f64 (-.f64 1 (cos.f64 x)) x)
	1.3b	(-.f64 1 (cos.f64 x))
✓	28.2b	(/.f64 (*.f64 x x) x)

Compiler

Compiled 35 to 14 computations (60% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 (-.f64 1 (cos.f64 x)) x)
0.0ms	x	@	-inf	(/.f64 (*.f64 x x) x)
0.0ms	x	@	0	(/.f64 (-.f64 1 (cos.f64 x)) x)
0.0ms	x	@	inf	(/.f64 (*.f64 x x) x)
0.0ms	x	@	0	(/.f64 (*.f64 x x) x)

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1982×	`bool.json-1`
1982×	`bool.json-2`
1600×	`bool.json-3`
984×	`rational.json-simplify-35`
640×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	130	65
2	507	41
3	2057	41
4	5891	41

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (*.f64 x x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 (*.f64 x (+.f64 x x)) x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 x x)) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (/.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (*.f64 (/.f64 1 (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (*.f64 1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (/.f64 (/.f64 x (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 x (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 x 2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 (*.f64 x x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 (/.f64 x (fabs.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (/.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x x)) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) (/.f64 (/.f64 (*.f64 x (+.f64 x x)) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x x)) (/.f64 (*.f64 x (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x x)) (/.f64 (/.f64 (neg.f64 (*.f64 x x)) x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (/.f64 (neg.f64 (*.f64 x x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (/.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 (*.f64 x x))) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 2 (/.f64 1 x))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (neg.f64 x) (/.f64 1 x))) (/.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 x (neg.f64 (*.f64 x x)))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x 4)) (/.f64 (*.f64 x (*.f64 x 4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) 2) (/.f64 (/.f64 (*.f64 x (+.f64 x x)) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (*.f64 2 (/.f64 1 x))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (/.f64 x (neg.f64 (*.f64 x x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (*.f64 x 4)) (/.f64 (*.f64 x (*.f64 x 4)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) 4) (/.f64 (*.f64 x 4) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (*.f64 x -2)) (/.f64 (*.f64 2 (neg.f64 (*.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (*.f64 2 (*.f64 x 4))) (/.f64 (*.f64 2 (*.f64 x (*.f64 x 4))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (/.f64 2 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (/.f64 -1 x)) (/.f64 (/.f64 x (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (/.f64 1 (+.f64 x x))) (/.f64 (/.f64 x (+.f64 x x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (/.f64 -2 x)) (/.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x not (not x))))) (#(struct:change #<rule egg-rr> (2) ((x and x x)))) (#(struct:change #<rule egg-rr> (2) ((x or x x)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x (+.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (/.f64 1 (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (-.f64 1 (cos.f64 x)) x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (*.f64 (/.f64 1 (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 (*.f64 x x) (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 x (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (+.f64 x x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (*.f64 x (+.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (/.f64 1 (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 (/.f64 x (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (+.f64 x x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))

simplify160.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1414×	`rational.json-simplify-2`
1110×	`rational.json-simplify-54`
734×	`rational.json-simplify-55`
708×	`rational.json-simplify-35`
448×	`rational.json-simplify-39`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	342	2342
1	923	2318
2	3279	2300
3	7180	2282

Stop Event

1×	node limit

Counts

172 → 183

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (.f64 1/720 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 x 0)
(+.f64 x (/.f64 0 x))
(+.f64 0 x)
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(+.f64 (/.f64 0 x) x)
(-.f64 x 0)
(-.f64 0 (neg.f64 x))
(*.f64 x 1)
(.f64 x (.f64 (/.f64 1 (.f64 x x)) (.f64 x x)))
(.f64 x (/.f64 (/.f64 (.f64 x (+.f64 x x)) x) (+.f64 x x)))
(.f64 x (/.f64 (/.f64 (neg.f64 (.f64 x x)) x) (neg.f64 x)))
(.f64 (.f64 x x) (/.f64 1 x))
(.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (*.f64 x x)) (/.f64 1 x)))
(*.f64 1 x)
(.f64 (.f64 x (+.f64 x x)) (/.f64 1 (+.f64 x x)))
(.f64 (.f64 x (+.f64 x x)) (*.f64 (/.f64 1 (+.f64 x x)) 1))
(.f64 (.f64 x (+.f64 x x)) (*.f64 1/2 (/.f64 1 x)))
(.f64 (.f64 x (+.f64 x x)) (/.f64 (/.f64 x (+.f64 x x)) x))
(*.f64 (+.f64 x x) 1/2)
(*.f64 (+.f64 x x) (/.f64 x (+.f64 x x)))
(.f64 (+.f64 x x) (.f64 (/.f64 x (+.f64 x x)) 1))
(.f64 (+.f64 x x) (.f64 (/.f64 x 2) (/.f64 1 x)))
(.f64 2 (/.f64 (.f64 x x) (+.f64 x x)))
(.f64 2 (/.f64 (neg.f64 (neg.f64 (.f64 x x))) (+.f64 x x)))
(*.f64 (neg.f64 x) -1)
(*.f64 (neg.f64 x) (/.f64 x (neg.f64 x)))
(.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 (.f64 x x)) x) x))
(*.f64 -1 (neg.f64 x))
(*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 (/.f64 x (fabs.f64 x)) 1))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 1 x)))
(.f64 (/.f64 1 x) (.f64 x x))
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) x) (+.f64 x x)))
(.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 (.f64 x x)) x))
(.f64 (/.f64 x (neg.f64 x)) (/.f64 (.f64 x x) (neg.f64 x)))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) x))
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) (/.f64 -1 x))
(*.f64 (/.f64 x (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 x (neg.f64 x)) (/.f64 (/.f64 x (neg.f64 x)) x))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 x (+.f64 x x)))
(*.f64 1/2 (+.f64 x x))
(*.f64 (/.f64 x 2) 2)
(.f64 (/.f64 x 2) (/.f64 (/.f64 (.f64 x (+.f64 x x)) x) x))
(*.f64 (/.f64 x (+.f64 x x)) (+.f64 x x))
(.f64 (/.f64 x (+.f64 x x)) (/.f64 (.f64 x (+.f64 x x)) x))
(.f64 (neg.f64 (+.f64 x x)) (/.f64 (/.f64 (neg.f64 (.f64 x x)) x) (+.f64 x x)))
(.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (/.f64 (neg.f64 (.f64 x x)) (+.f64 x x)))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (/.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) (+.f64 x x)))
(.f64 (/.f64 x (neg.f64 (.f64 x x))) (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) x) (neg.f64 x)))
(.f64 (/.f64 x (.f64 2 (/.f64 1 x))) (/.f64 2 x))
(.f64 (/.f64 x (.f64 (neg.f64 x) (/.f64 1 x))) (/.f64 x (neg.f64 x)))
(.f64 (/.f64 x (/.f64 x (neg.f64 (.f64 x x)))) (/.f64 -1 x))
(.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) x))
(.f64 (/.f64 x (.f64 x 4)) (/.f64 (.f64 x (.f64 x 4)) x))
(.f64 (/.f64 x 4) (/.f64 (.f64 x 4) x))
(.f64 (/.f64 x (.f64 x -2)) (/.f64 (.f64 2 (neg.f64 (.f64 x x))) x))
(.f64 (/.f64 x (.f64 2 (.f64 x 4))) (/.f64 (.f64 2 (.f64 x (.f64 x 4))) x))
(*.f64 (/.f64 x (/.f64 2 x)) (/.f64 2 x))
(.f64 (/.f64 x (neg.f64 (+.f64 x x))) (/.f64 (neg.f64 (.f64 x (+.f64 x x))) x))
(*.f64 (/.f64 x (/.f64 -2 x)) (/.f64 (/.f64 (+.f64 x x) (neg.f64 x)) x))
(.f64 (/.f64 (+.f64 x x) (.f64 (neg.f64 x) (/.f64 1 x))) (/.f64 (neg.f64 x) (+.f64 x x)))
(.f64 (/.f64 (neg.f64 x) (+.f64 x x)) (/.f64 (.f64 x (+.f64 x x)) (neg.f64 x)))
(.f64 (/.f64 (+.f64 x x) (/.f64 x (neg.f64 (.f64 x x)))) (/.f64 -1 (+.f64 x x)))
(.f64 (/.f64 (+.f64 x x) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 x x)))
(.f64 (/.f64 (+.f64 x x) (.f64 2 (.f64 x 4))) (/.f64 (.f64 2 (.f64 x (.f64 x 4))) (+.f64 x x)))
(*.f64 (/.f64 (+.f64 x x) (/.f64 2 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x x) (/.f64 -1 x)) (/.f64 (/.f64 x (neg.f64 x)) (+.f64 x x)))
(*.f64 (/.f64 (+.f64 x x) (/.f64 1 (+.f64 x x))) (/.f64 (/.f64 x (+.f64 x x)) (+.f64 x x)))
(.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 x x))) (/.f64 (neg.f64 (.f64 x (+.f64 x x))) (+.f64 x x)))
(*.f64 (/.f64 (+.f64 x x) (/.f64 -2 x)) (/.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (+.f64 x x)))
(*.f64 (/.f64 (neg.f64 x) 2) (/.f64 (+.f64 x x) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) 2) (/.f64 (/.f64 (.f64 x (+.f64 x x)) x) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (/.f64 1 x))) (/.f64 -2 x))
(.f64 (/.f64 (neg.f64 x) (/.f64 x (neg.f64 (.f64 x x)))) (/.f64 1 x))
(.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (.f64 x 4)) (/.f64 (.f64 x (.f64 x 4)) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) 4) (/.f64 (.f64 x 4) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (.f64 x -2)) (/.f64 (.f64 2 (neg.f64 (.f64 x x))) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (.f64 x 4))) (/.f64 (.f64 2 (.f64 x (.f64 x 4))) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (/.f64 2 x)) (/.f64 -2 x))
(*.f64 (/.f64 (neg.f64 x) (/.f64 -1 x)) (/.f64 (/.f64 x (neg.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 (+.f64 x x))) (/.f64 (/.f64 x (+.f64 x x)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (/.f64 -2 x)) (/.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (neg.f64 x)))
(neg.f64 (neg.f64 x))
(neg.f64 (/.f64 (neg.f64 (*.f64 x x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(.f64 (+.f64 x x) (/.f64 1 (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (.f64 x x) (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))) x))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (+.f64 x x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (+.f64 x x)) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 1 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 x (+.f64 x x))) x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (/.f64 1 (+.f64 x x)) x))
(.f64 (/.f64 1 (.f64 x x)) (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) x)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(.f64 (/.f64 1 (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (+.f64 x x))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) (.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(.f64 (.f64 x (+.f64 x x)) (.f64 (/.f64 1 (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))))
(.f64 (+.f64 x x) (/.f64 1 (.f64 (.f64 x x) (.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (.f64 x x) (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))) 1))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 1 x)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))))
(.f64 (+.f64 x x) (.f64 (/.f64 x (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))))
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(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 1/2 (/.f64 1 (.f64 x x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (/.f64 1 (+.f64 x x)) 1))
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(.f64 (fabs.f64 x) (.f64 (/.f64 x (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(.f64 (/.f64 1 x) (.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) x)
(.f64 (/.f64 1 (+.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(.f64 (/.f64 1 (.f64 (.f64 x x) (.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))) (+.f64 x x))
(.f64 (/.f64 1 (.f64 x (+.f64 x x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 3)))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/720 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (.f64 1/720 (pow.f64 x 5)))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/720 (pow.f64 x 5)) (.f64 -1/40320 (pow.f64 x 7)))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/720 (pow.f64 x 5)) (.f64 x 1/2)) (.f64 -1/40320 (pow.f64 x 7))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
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(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
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(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
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x
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(+.f64 (/.f64 0 x) x)
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(-.f64 x 0)
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(*.f64 x 1)
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(.f64 x (/.f64 (/.f64 (.f64 x (+.f64 x x)) x) (+.f64 x x)))
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(.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (*.f64 x x)) (/.f64 1 x)))
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(*.f64 1 x)
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(*.f64 (+.f64 x x) 1/2)
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(*.f64 (+.f64 x x) (/.f64 x (+.f64 x x)))
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(.f64 2 (/.f64 (.f64 x x) (+.f64 x x)))
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(*.f64 (neg.f64 x) -1)
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(*.f64 (neg.f64 x) (/.f64 x (neg.f64 x)))
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(.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 (.f64 x x)) x) x))
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(*.f64 -1 (neg.f64 x))
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(*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))
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(*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))
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(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) x))
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(*.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) (/.f64 -1 x))
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(*.f64 (/.f64 x (fabs.f64 x)) (fabs.f64 x))
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(*.f64 1/2 (+.f64 x x))
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(*.f64 (/.f64 x 2) 2)
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(*.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (/.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) (+.f64 x x)))
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(.f64 (/.f64 x (.f64 x 4)) (/.f64 (.f64 x (.f64 x 4)) x))
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(.f64 (/.f64 x 4) (/.f64 (.f64 x 4) x))
x
(.f64 (/.f64 x (.f64 x -2)) (/.f64 (.f64 2 (neg.f64 (.f64 x x))) x))
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(.f64 (/.f64 x (.f64 2 (.f64 x 4))) (/.f64 (.f64 2 (.f64 x (.f64 x 4))) x))
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(*.f64 (/.f64 x (/.f64 2 x)) (/.f64 2 x))
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(*.f64 (/.f64 x (/.f64 -2 x)) (/.f64 (/.f64 (+.f64 x x) (neg.f64 x)) x))
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(*.f64 (/.f64 (+.f64 x x) (/.f64 2 x)) (/.f64 1 x))
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(*.f64 (/.f64 (+.f64 x x) (/.f64 1 (+.f64 x x))) (/.f64 (/.f64 x (+.f64 x x)) (+.f64 x x)))
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(*.f64 (/.f64 (+.f64 x x) (/.f64 -2 x)) (/.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (+.f64 x x)))
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(*.f64 (/.f64 (neg.f64 x) 2) (/.f64 (+.f64 x x) (neg.f64 x)))
x
(.f64 (/.f64 (neg.f64 x) 2) (/.f64 (/.f64 (.f64 x (+.f64 x x)) x) (neg.f64 x)))
x
(.f64 (/.f64 (neg.f64 x) (.f64 2 (/.f64 1 x))) (/.f64 -2 x))
x
(.f64 (/.f64 (neg.f64 x) (/.f64 x (neg.f64 (.f64 x x)))) (/.f64 1 x))
x
(.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 x)))
x
(.f64 (/.f64 (neg.f64 x) (.f64 x 4)) (/.f64 (.f64 x (.f64 x 4)) (neg.f64 x)))
x
(.f64 (/.f64 (neg.f64 x) 4) (/.f64 (.f64 x 4) (neg.f64 x)))
x
(.f64 (/.f64 (neg.f64 x) (.f64 x -2)) (/.f64 (.f64 2 (neg.f64 (.f64 x x))) (neg.f64 x)))
x
(.f64 (/.f64 (neg.f64 x) (.f64 2 (.f64 x 4))) (/.f64 (.f64 2 (.f64 x (.f64 x 4))) (neg.f64 x)))
x
(*.f64 (/.f64 (neg.f64 x) (/.f64 2 x)) (/.f64 -2 x))
x
(*.f64 (/.f64 (neg.f64 x) (/.f64 -1 x)) (/.f64 (/.f64 x (neg.f64 x)) (neg.f64 x)))
x
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 (+.f64 x x))) (/.f64 (/.f64 x (+.f64 x x)) (neg.f64 x)))
x
(*.f64 (/.f64 (neg.f64 x) (/.f64 -2 x)) (/.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (neg.f64 x)))
x
(neg.f64 (neg.f64 x))
x
(neg.f64 (/.f64 (neg.f64 (*.f64 x x)) x))
x
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(.f64 (+.f64 x x) (/.f64 1 (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (.f64 x x)))))
(.f64 x (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (*.f64 x x))))))
(.f64 2 (/.f64 x (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (.f64 x x) (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))) x))
(.f64 (+.f64 x x) (.f64 x (/.f64 1 (.f64 2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x x))))))
(.f64 x (.f64 (+.f64 x x) (/.f64 1/2 (.f64 (.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x)))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 1))
(.f64 (+.f64 x x) (/.f64 1 (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (.f64 x x)))))
(.f64 x (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (*.f64 x x))))))
(.f64 2 (/.f64 x (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (+.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (+.f64 x x)) 1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 1 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 x (+.f64 x x))) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) 1/2)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (/.f64 1 (+.f64 x x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(.f64 (/.f64 1 (.f64 x x)) (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) x)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 x (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))))
(.f64 x (.f64 (/.f64 1/2 x) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(.f64 (/.f64 1 (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (+.f64 x x))
(.f64 (+.f64 x x) (/.f64 1 (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (.f64 x x)))))
(.f64 x (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (*.f64 x x))))))
(.f64 2 (/.f64 x (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(.f64 (.f64 x x) (.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 x (+.f64 x x)) (.f64 (/.f64 1 (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(.f64 (+.f64 x x) (/.f64 1 (.f64 (.f64 x x) (.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))))
(.f64 (+.f64 x x) (/.f64 1 (.f64 2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (.f64 x x)))))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (.f64 x x) (*.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))) 1))
(.f64 (+.f64 x x) (/.f64 1 (.f64 2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (.f64 x x)))))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 1 x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 1 (.f64 (.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (*.f64 x x))))))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (.f64 x x)))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(.f64 (+.f64 x x) (.f64 (/.f64 x (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x (+.f64 x x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (+.f64 x x)) (/.f64 1 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (.f64 x (+.f64 x x))) 1))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 1/2 (/.f64 1 (.f64 x x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 (/.f64 1 (+.f64 x x)) 1))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (*.f64 1/2 (/.f64 1 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (/.f64 x (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 x) (.f64 (.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) x)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 (.f64 x x) (.f64 2 (/.f64 x (-.f64 1 (cos.f64 x)))))) (+.f64 x x))
(.f64 (+.f64 x x) (/.f64 1 (.f64 2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (.f64 x x)))))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1 (.f64 x (+.f64 x x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize108.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (*.f64 1/720 (pow.f64 x 3)))
✓	0.1b	(.f64 x (+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (.f64 1/720 (pow.f64 x 3))))
	0.3b	(*.f64 x -1/24)
✓	0.5b	(*.f64 1/720 (pow.f64 x 3))

Compiler

Compiled 67 to 52 computations (22.4% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 1/720 (pow.f64 x 3))
0.0ms	x	@	-inf	(.f64 x (+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (.f64 1/720 (pow.f64 x 3))))
0.0ms	x	@	0	(.f64 x (+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (.f64 1/720 (pow.f64 x 3))))
0.0ms	x	@	inf	(.f64 x (+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (.f64 1/720 (pow.f64 x 3))))
0.0ms	x	@	inf	(*.f64 1/720 (pow.f64 x 3))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`rational.json-simplify-35`
1308×	`bool.json-1`
1308×	`bool.json-2`
1242×	`rational.json-1`
1242×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	105
1	166	105
2	420	105
3	842	93
4	1831	93
5	4423	93

Stop Event

1×	node limit

Counts

3 → 35

Calls

Call 1

Inputs

(*.f64 1/720 (pow.f64 x 3))

(*.f64 x (+.f64 (+.f64 (*.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/720 (pow.f64 x 3))))

(+.f64 (+.f64 (*.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/720 (pow.f64 x 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/1440) (*.f64 (pow.f64 x 3) 1/1440))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/720 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/720 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/180) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/180)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/180))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/180))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/180)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/720 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/720 (pow.f64 x 3)) (*.f64 1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/720 (pow.f64 x 3)) (*.f64 1/720 (pow.f64 x 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))) (*.f64 x (*.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) (*.f64 x 4)))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) (*.f64 x 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) (*.f64 x (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) (*.f64 x (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) (+.f64 (*.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))))

simplify799.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1644×	`rational.json-simplify-35`
1526×	`rational.json-simplify-53`
1336×	`rational.json-simplify-2`
1170×	`rational.json-simplify-1`
676×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1811
1	209	1811
2	471	1811
3	1332	1811
4	2784	1811
5	3841	1811
6	4273	1811
7	4710	1811
8	5599	1811
9	6118	1811
10	7274	1811
11	7881	1811

Stop Event

1×	node limit

Counts

59 → 55

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (*.f64 1/2 (/.f64 1 x))))
(*.f64 1/720 (pow.f64 x 3))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/720 (pow.f64 x 3)) (*.f64 -1/24 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/720 (pow.f64 x 3)) (*.f64 -1/24 x)))
(*.f64 1/720 (pow.f64 x 3))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/720 (pow.f64 x 3)) (*.f64 -1/24 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/720 (pow.f64 x 3)) (*.f64 -1/24 x)))
(+.f64 (*.f64 1/720 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/720 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 3) 1/1440) (.f64 (pow.f64 x 3) 1/1440))
(-.f64 (*.f64 1/720 (pow.f64 x 3)) 0)
(/.f64 (*.f64 1/720 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/360) 2)
(/.f64 (*.f64 (pow.f64 x 3) 1/180) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/180)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 1/180))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/180))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/180)))) 32)
(+.f64 (.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) 0)
(+.f64 0 (.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))
(+.f64 (.f64 x (.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))))) (.f64 x (.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))))))
(-.f64 (.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) 0)
(/.f64 (.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) 1)
(/.f64 (.f64 x (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 2)) 2)
(/.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) (.f64 x 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) (*.f64 x 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) (.f64 x 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) (.f64 x 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) (.f64 x 4))))) 32)
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 0)
(.f64 1/2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 2))
(.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))
(.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 1)
(.f64 2 (.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x)))))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x)))) 2)
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 4)))) 32)

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/720 (pow.f64 x 3))))
(*.f64 1/720 (pow.f64 x 3))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/720 (pow.f64 x 3)) (*.f64 -1/24 x)))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/720 (pow.f64 x 3)) (*.f64 -1/24 x)))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/720 (pow.f64 x 3))))
(*.f64 1/720 (pow.f64 x 3))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/720 (pow.f64 x 3)) (*.f64 -1/24 x)))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/720 (pow.f64 x 3)) (*.f64 -1/24 x)))
(+.f64 (.f64 -1/24 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/720 (pow.f64 x 3))))
(+.f64 (*.f64 1/720 (pow.f64 x 3)) 0)
(*.f64 1/720 (pow.f64 x 3))
(+.f64 0 (*.f64 1/720 (pow.f64 x 3)))
(*.f64 1/720 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/1440) (.f64 (pow.f64 x 3) 1/1440))
(*.f64 1/720 (pow.f64 x 3))
(-.f64 (*.f64 1/720 (pow.f64 x 3)) 0)
(*.f64 1/720 (pow.f64 x 3))
(/.f64 (*.f64 1/720 (pow.f64 x 3)) 1)
(*.f64 1/720 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/360) 2)
(*.f64 1/720 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/180) 4)
(*.f64 1/720 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/180)) 8)
(*.f64 1/720 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 1/180))) 16)
(*.f64 1/720 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/180))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/180)))) 32)
(*.f64 1/720 (pow.f64 x 3))
(+.f64 (.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) 0)
(.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (*.f64 1/720 (pow.f64 x 3)))))
(+.f64 0 (.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))
(.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (*.f64 1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x (.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))))) (.f64 x (.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))))))
(.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (*.f64 1/720 (pow.f64 x 3)))))
(-.f64 (.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) 0)
(.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (*.f64 1/720 (pow.f64 x 3)))))
(/.f64 (.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)))) 1)
(.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (*.f64 1/720 (pow.f64 x 3)))))
(/.f64 (.f64 x (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 2)) 2)
(.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (*.f64 1/720 (pow.f64 x 3)))))
(/.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) (.f64 x 4)) 4)
(.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (*.f64 1/720 (pow.f64 x 3)))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) (*.f64 x 4))) 8)
(.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (*.f64 1/720 (pow.f64 x 3)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) (.f64 x 4)))) 16)
(.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (*.f64 1/720 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) (.f64 x 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) (.f64 x 4))))) 32)
(.f64 x (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (*.f64 1/720 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 0)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(.f64 1/2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 2))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 1)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(.f64 2 (.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x)))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 2) 1/2)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(.f64 4 (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 4) 1/4)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(.f64 (.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x)))) 2)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 1)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2) 2)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4) 4)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 4)) 8)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 4))) 16)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (/.f64 1/2 x))) 4)))) 32)
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 x) (+.f64 (/.f64 1/2 x) (.f64 1/720 (pow.f64 x 3))))

eval398.0ms (3.2%)

Compiler: Compiled 8785 to 5488 computations (37.5% saved)

prune102.0ms (0.8%)

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	540	8	548
Fresh	1	8	9
Picked	1	0	1
Done	2	7	9
Total	544	23	567

Error

0.1b

Counts

567 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.1b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))
	31.7b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 (+.f64 x x) (.f64 (/.f64 x 2) (/.f64 1 x))))
	31.7b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
	33.1b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
✓	33.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	33.2b	(/.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 x x) x))
	39.0b	(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
	35.8b	(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
▶	33.1b	(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
✓	32.6b	(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
▶	16.3b	(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
	32.6b	(/.f64 1 (.f64 x (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))
✓	30.6b	(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
✓	30.8b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
▶	32.3b	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
	45.1b	(.f64 (/.f64 (fabs.f64 (/.f64 (/.f64 (/.f64 x (/.f64 -1/2 x)) x) (.f64 x 4))) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
✓	33.1b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
	39.0b	(.f64 (.f64 (+.f64 x x) (/.f64 1/4 (.f64 x (.f64 x x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
▶	39.0b	(.f64 x (/.f64 (/.f64 2 (.f64 x (*.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
✓	30.0b	(*.f64 x (/.f64 1/2 x))
	30.7b	(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
▶	30.8b	(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
	29.9b	1/2

Compiler

Compiled 510 to 359 computations (29.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x)))
✓	0.2b	(.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x))))
✓	0.3b	(*.f64 x 1/6)
✓	0.8b	(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
0.0ms	x	@	inf	(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
0.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x))))
0.0ms	x	@	inf	(.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x))))
0.0ms	x	@	-inf	(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`bool.json-1`
1926×	`bool.json-2`
1406×	`bool.json-3`
1090×	`rational.json-simplify-35`
870×	`rational.json-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	130	100
2	368	100
3	871	100
4	2611	82
5	6528	82

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

Inputs
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(*.f64 x 1/6)
(.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 x 1/6) (.f64 2 (/.f64 1 x)))

Outputs
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simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1092×	`rational.json-simplify-41`
992×	`rational.json-simplify-2`
756×	`rational.json-simplify-35`
716×	`rational.json-simplify-1`
714×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	330	4936
1	939	4912
2	3150	4774
3	5358	4772
4	7779	4772

Stop Event

1×	node limit

Counts

196 → 188

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/288 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4)))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 8))) (.f64 72 (/.f64 1 (pow.f64 x 4)))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 8))) (.f64 72 (/.f64 1 (pow.f64 x 4)))))
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
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(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(*.f64 1/6 (pow.f64 x 2))
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(+.f64 2 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/6 (pow.f64 x 2)))
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(*.f64 1/6 x)
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(*.f64 1/6 x)
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(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (/.f64 4 (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
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(/.f64 (.f64 2 (.f64 x 4)) (/.f64 8 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
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(/.f64 (.f64 2 (neg.f64 x)) (/.f64 -2 (+.f64 (.f64 x 1/6) (/.f64 2 x))))
(/.f64 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4) (*.f64 (/.f64 1 x) 4))
(/.f64 (.f64 2 (.f64 x (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4))) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x))))) -2)
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(/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
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(/.f64 (.f64 2 (neg.f64 (+.f64 x x))) (+.f64 (/.f64 -2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 -2 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4)) (.f64 (/.f64 1 x) 8))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (neg.f64 x))) -2)
(/.f64 (.f64 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4) (.f64 x 4)) 16)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))))) -4)
(/.f64 (.f64 2 (neg.f64 (.f64 x (.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x)))))) -4)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x))))) (.f64 2 (*.f64 (/.f64 1 x) -2)))
(/.f64 -1/2 (-.f64 0 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 (/.f64 (.f64 x 4) (/.f64 1 (+.f64 (.f64 x 1/6) (/.f64 2 x)))) 4)
(/.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1/2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) (/.f64 1 x))
(/.f64 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 2 x)) 1/2)
(/.f64 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 -1 x)) -1)
(/.f64 (.f64 x (+.f64 x x)) (+.f64 (/.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 2 (/.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (/.f64 4 (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 (neg.f64 (.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x)))) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4)) (neg.f64 (*.f64 (/.f64 1 x) 4)))
(/.f64 (+.f64 (/.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) (/.f64 2 x)) (/.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) (/.f64 2 x))) 1)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x)))) (neg.f64 (.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))))) (+.f64 (neg.f64 (/.f64 2 x)) (neg.f64 (/.f64 2 x))))
(/.f64 (+.f64 (/.f64 (.f64 x 4) (/.f64 1 (+.f64 (.f64 x 1/6) (/.f64 2 x)))) (/.f64 (.f64 x 4) (/.f64 1 (+.f64 (.f64 x 1/6) (/.f64 2 x))))) 8)
(/.f64 (+.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 (/.f64 2 x))) (+.f64 (/.f64 1/2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1/2 (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 x 1/6) (/.f64 2 x)))) (/.f64 1 (/.f64 1 (+.f64 (.f64 x 1/6) (/.f64 2 x))))) (/.f64 2 x))
(/.f64 (+.f64 (/.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) (/.f64 -1 x)) (/.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) (/.f64 -1 x))) -2)
(/.f64 (neg.f64 (neg.f64 (.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))))) (/.f64 2 x))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x))))) (-.f64 0 (*.f64 (/.f64 1 x) -2)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 1/2)) (-.f64 0 (/.f64 1/2 x)))
(/.f64 (neg.f64 (/.f64 1 (/.f64 2 x))) (-.f64 0 (/.f64 1/2 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 (neg.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))) (/.f64 -1 x))
(neg.f64 (neg.f64 (.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
(neg.f64 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 0)
(-.f64 0 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(.f64 1 (+.f64 (.f64 x 1/6) (/.f64 2 x)))
(.f64 x (+.f64 1/6 (/.f64 2 (.f64 x x))))
(.f64 2 (.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1/2))
(.f64 2 (+.f64 (/.f64 1 x) (/.f64 (.f64 x 1/3) 4)))
(.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 1)
(.f64 (.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2)
(.f64 -1 (neg.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x))))
(.f64 (neg.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x))) -1)
(.f64 1/2 (.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(.f64 (.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1/2) 2)
(/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 1)
(/.f64 (.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) 2)
(/.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)
(/.f64 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4) 4)
(/.f64 (.f64 2 (neg.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4)) (.f64 2 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4))) 16)
(neg.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/288 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/288 (pow.f64 x 4)) (*.f64 -1/3456 (pow.f64 x 6)))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(+.f64 (.f64 864 (/.f64 1 (pow.f64 x 6))) (-.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 864 (/.f64 1 (pow.f64 x 6))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 8))) (.f64 72 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 4))) (.f64 10368 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 864 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 4))) (.f64 10368 (/.f64 1 (pow.f64 x 8))))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(+.f64 (.f64 864 (/.f64 1 (pow.f64 x 6))) (-.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 864 (/.f64 1 (pow.f64 x 6))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 10368 (/.f64 1 (pow.f64 x 8))) (.f64 72 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 4))) (.f64 10368 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 864 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 4))) (.f64 10368 (/.f64 1 (pow.f64 x 8))))))
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/6)
(+.f64 2 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(+.f64 2 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(+.f64 2 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/6)
(+.f64 2 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(+.f64 2 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(+.f64 2 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(/.f64 2 x)
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/6))
(+.f64 (.f64 x 1/6) (.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/6))
(+.f64 (.f64 x 1/6) (.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/6))
(+.f64 (.f64 x 1/6) (.f64 (/.f64 -1 x) -2))
(*.f64 1/6 x)
(*.f64 x 1/6)
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/6))
(+.f64 (.f64 x 1/6) (.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/6))
(+.f64 (.f64 x 1/6) (.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/6))
(+.f64 (.f64 x 1/6) (.f64 (/.f64 -1 x) -2))
(*.f64 1/6 x)
(*.f64 x 1/6)
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/6))
(+.f64 (.f64 x 1/6) (.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/6))
(+.f64 (.f64 x 1/6) (.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/6))
(+.f64 (.f64 x 1/6) (.f64 (/.f64 -1 x) -2))
(+.f64 (/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))) 0)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(+.f64 0 (/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(+.f64 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 (/.f64 1/2 x) (+.f64 (.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6))) (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 2 (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(-.f64 (/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))) 0)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 1 (/.f64 1 (.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 2 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6))) (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 2 (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 (/.f64 1 x) (/.f64 1 (+.f64 (.f64 x 1/6) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 (/.f64 2 x) (/.f64 1/2 (+.f64 (.f64 x 1/6) (/.f64 2 x))))
(.f64 (/.f64 2 x) (/.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 (/.f64 2 x) (.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2))
(.f64 (/.f64 2 x) (.f64 1/2 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(.f64 1/2 (/.f64 2 (.f64 x (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(.f64 (/.f64 1 (.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) 1)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 4 (/.f64 (/.f64 1 x) (.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 4)))
(.f64 4 (/.f64 1 (.f64 x (.f64 4 (+.f64 (/.f64 2 x) (.f64 x 1/6))))))
(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4)))
(.f64 4 (/.f64 1 (.f64 x (.f64 4 (+.f64 (/.f64 2 x) (.f64 x 1/6))))))
(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
(.f64 (/.f64 1 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1 x))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1/2 x))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 -1 (/.f64 (/.f64 -1 x) (+.f64 (.f64 x 1/6) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 (.f64 x 1/6) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 (/.f64 2 (.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) 1/2)
(.f64 (/.f64 2 x) (.f64 1/2 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(.f64 1/2 (/.f64 2 (.f64 x (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(.f64 (/.f64 -1 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 -1 x))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 1/2 (/.f64 2 (.f64 x (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(.f64 (/.f64 2 x) (.f64 1/2 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(.f64 1/2 (/.f64 2 (.f64 x (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(.f64 (/.f64 1/2 x) (/.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 (/.f64 1/2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 2 x))
(.f64 (/.f64 2 x) (/.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 x 1/6) (/.f64 2 x))) 2)
(+.f64 (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6))) (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 2 (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 (.f64 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) 1/2) (/.f64 2 x))
(.f64 (/.f64 2 x) (.f64 1/2 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(.f64 1/2 (/.f64 2 (.f64 x (+.f64 (/.f64 2 x) (*.f64 x 1/6)))))
(.f64 (/.f64 (/.f64 -1 x) (+.f64 (.f64 x 1/6) (/.f64 2 x))) -1)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4)) (.f64 (/.f64 1 x) 4))
(.f64 4 (/.f64 1 (.f64 x (.f64 4 (+.f64 (/.f64 2 x) (.f64 x 1/6))))))
(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
(.f64 (/.f64 (/.f64 1 x) (.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 4)) 4)
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(+.f64 (/.f64 2 x) (*.f64 x 1/6))
(/.f64 (.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) 2)
(+.f64 (/.f64 2 x) (*.f64 x 1/6))
(/.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))) -1)
(+.f64 (/.f64 2 x) (*.f64 x 1/6))
(/.f64 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4) 4)
(+.f64 (/.f64 2 x) (*.f64 x 1/6))
(/.f64 (.f64 2 (neg.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)))) -2)
(+.f64 (/.f64 2 x) (*.f64 x 1/6))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) 4)) 8)
(+.f64 (/.f64 2 x) (*.f64 x 1/6))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4)) (.f64 2 (.f64 (+.f64 (.f64 x 1/6) (/.f64 2 x)) 4))) 16)
(+.f64 (/.f64 2 x) (*.f64 x 1/6))
(neg.f64 (neg.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x))))
(+.f64 (/.f64 2 x) (*.f64 x 1/6))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
✓	0.2b	(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
✓	0.3b	(*.f64 -1/24 x)

Compiler

Compiled 26 to 18 computations (30.8% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
0.0ms	x	@	0	(*.f64 -1/24 x)
0.0ms	x	@	inf	(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
0.0ms	x	@	-inf	(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
0.0ms	x	@	inf	(*.f64 -1/24 x)

rewrite127.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

2158×	`bool.json-1`
974×	`rational.json-simplify-35`
950×	`bool.json-2`
898×	`rational.json-1`
898×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	92	51
2	249	51
3	560	51
4	1218	51
5	3036	51
6	7854	51

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs
(*.f64 -1/24 x)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/24 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/48) (*.f64 x -1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/24 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/24 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/24 x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 -1/24 x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 -1/24 x) 8)) (*.f64 2 (*.f64 (*.f64 -1/24 x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 -1/24 x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 -1/24 x) (*.f64 -1/24 x))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 -1/24 x) (*.f64 -1/24 x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)))) (*.f64 1/2 (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 8)) (*.f64 2 (*.f64 (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) (*.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (/.f64 1/2 (*.f64 x x)) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 -1/24 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x -1/12) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 (/.f64 1/4 (*.f64 x x)) -1/48))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 -1/48 (/.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 1/4 x) (*.f64 x -1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x -1/48) (/.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)))))))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational.json-simplify-35`
1054×	`rational.json-simplify-2`
870×	`rational.json-simplify-51`
864×	`rational.json-simplify-59`
826×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	104	1401
1	212	1401
2	527	1401
3	1742	1401
4	4103	1233
5	6803	1233

Stop Event

1×	node limit

Counts

69 → 54

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 -1/24 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(*.f64 -1/24 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (*.f64 -1/24 x) 0)
(+.f64 0 (*.f64 -1/24 x))
(+.f64 (.f64 x -1/48) (.f64 x -1/48))
(-.f64 (*.f64 -1/24 x) 0)
(/.f64 (*.f64 -1/24 x) 1)
(/.f64 (*.f64 x -1/12) 2)
(/.f64 (*.f64 x -1/6) 4)
(/.f64 (.f64 (.f64 -1/24 x) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 -1/24 x) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 -1/24 x) 8)) (.f64 2 (.f64 (.f64 -1/24 x) 8))) 32)
(+.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 0)
(+.f64 0 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))))
(+.f64 (.f64 1/2 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)))) (.f64 1/2 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)))))
(-.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 0)
(/.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 1)
(/.f64 (.f64 x (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 2)) 2)
(/.f64 (.f64 x (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4)) 4)
(/.f64 (.f64 (.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 8)) (.f64 2 (.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 8))) 32)
(-.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 0)
(.f64 x (+.f64 (/.f64 1/2 (.f64 x x)) -1/24))
(.f64 x (+.f64 -1/24 (/.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 2))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(.f64 1/2 (+.f64 (.f64 x -1/12) (/.f64 1 x)))
(.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 1)
(.f64 1 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)))
(.f64 (+.f64 x x) (+.f64 (/.f64 1/4 (.f64 x x)) -1/48))
(.f64 (+.f64 x x) (+.f64 -1/48 (/.f64 1/4 (.f64 x x))))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))))
(.f64 2 (+.f64 (/.f64 1/4 x) (.f64 x -1/48)))
(.f64 2 (+.f64 (.f64 x -1/48) (/.f64 1/4 x)))
(.f64 (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 4))
(.f64 (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4))
(.f64 (.f64 1/2 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 2)
(.f64 (/.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 4) 4)
(/.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 1)
(/.f64 (.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 8)) (.f64 2 (.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 8))) 32)

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(*.f64 -1/24 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(*.f64 -1/24 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(+.f64 (*.f64 -1/24 x) 0)
(*.f64 -1/24 x)
(+.f64 0 (*.f64 -1/24 x))
(*.f64 -1/24 x)
(+.f64 (.f64 x -1/48) (.f64 x -1/48))
(*.f64 -1/24 x)
(-.f64 (*.f64 -1/24 x) 0)
(*.f64 -1/24 x)
(/.f64 (*.f64 -1/24 x) 1)
(*.f64 -1/24 x)
(/.f64 (*.f64 x -1/12) 2)
(*.f64 -1/24 x)
(/.f64 (*.f64 x -1/6) 4)
(*.f64 -1/24 x)
(/.f64 (.f64 (.f64 -1/24 x) 8) 8)
(*.f64 -1/24 x)
(/.f64 (.f64 2 (.f64 (*.f64 -1/24 x) 8)) 16)
(*.f64 -1/24 x)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 -1/24 x) 8)) (.f64 2 (.f64 (.f64 -1/24 x) 8))) 32)
(*.f64 -1/24 x)
(+.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 0)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 0 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(+.f64 (.f64 1/2 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)))) (.f64 1/2 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)))))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(-.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 0)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 1)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 2)) 2)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4)) 4)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 (.f64 x (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 8) 8)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 2 (.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 8)) 16)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 8)) (.f64 2 (.f64 (.f64 x (+.f64 (.f64 -1/24 x) (/.f64 1/2 x))) 8))) 32)
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(-.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 0)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 x (+.f64 (/.f64 1/2 (.f64 x x)) -1/24))
(.f64 x (+.f64 -1/24 (/.f64 1/2 (.f64 x x))))
(.f64 x (+.f64 -1/24 (/.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 2))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1/2 (+.f64 (.f64 x -1/12) (/.f64 1 x)))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 1)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (+.f64 x x) (+.f64 (/.f64 1/4 (.f64 x x)) -1/48))
(.f64 (+.f64 x x) (+.f64 -1/48 (/.f64 1/4 (.f64 x x))))
(.f64 (+.f64 x x) (+.f64 -1/48 (/.f64 1/4 (.f64 x x))))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 2 (+.f64 (/.f64 1/4 x) (.f64 x -1/48)))
(.f64 2 (+.f64 (.f64 x -1/48) (/.f64 1/4 x)))
(.f64 2 (+.f64 (.f64 x -1/48) (/.f64 1/4 x)))
(.f64 (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 2) 1/2)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 4 (/.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 4))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4) 1/4)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1/4 (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 4))
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (.f64 1/2 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x))) 2)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (/.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 4) 4)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 1)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 2) 2)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 4) 4)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 8) 8)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 -1/24 x) (/.f64 1/2 x)) 8)) 16)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 8)) (.f64 2 (.f64 (+.f64 (.f64 -1/24 x) (/.f64 1/2 x)) 8))) 32)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 x) x)
	1.3b	(-.f64 1 (cos.f64 x))
✓	18.1b	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
0.0ms	x	@	inf	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
0.0ms	x	@	-inf	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
0.0ms	x	@	0	(/.f64 (/.f64 1 x) x)
0.0ms	x	@	inf	(/.f64 (/.f64 1 x) x)

rewrite143.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`rational.json-simplify-35`
950×	`bool.json-1`
950×	`bool.json-2`
920×	`rational.json-1`
920×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	112	36
2	356	36
3	886	36
4	2857	36

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1 x) x)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (*.f64 x (*.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (fabs.f64 (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x (*.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (fabs.f64 (/.f64 (/.f64 1 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (fabs.f64 (/.f64 (/.f64 1 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (fabs.f64 (/.f64 x (*.f64 x (*.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 x (*.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (*.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (fabs.f64 (*.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (fabs.f64 (/.f64 2 (*.f64 x (*.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fabs.f64 x)) (/.f64 1/2 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fabs.f64 x)) (fabs.f64 (*.f64 (/.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (fabs.f64 x)) (/.f64 2 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1/2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 x)) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 x x)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x (+.f64 x x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 4)) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fabs.f64 x)) (fabs.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (fabs.f64 x)) (fabs.f64 (/.f64 1 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 1 x) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 -1 x) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 x x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (*.f64 x x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (*.f64 x x)) (/.f64 1 (*.f64 x x)))))))

simplify917.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

1386×	`rational.json-simplify-54`
838×	`rational.json-simplify-35`
716×	`rational.json-simplify-2`
688×	`rational.json-simplify-43`
454×	`rational.json-simplify-40`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	3059
1	885	3031
2	2837	2999

Stop Event

1×	node limit

Counts

145 → 150

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) 2))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))) 4))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 2 (.f64 2 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 2 (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))))
(/.f64 2 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 2 (+.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (/.f64 2 x) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 x) (+.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))))
(/.f64 -1 (-.f64 0 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 4 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 4 (+.f64 (.f64 2 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))) (.f64 2 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))))))
(/.f64 4 (+.f64 (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))))
(/.f64 4 (+.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (+.f64 x x)))
(/.f64 (.f64 x (+.f64 x x)) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 4 x) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 4 x) (+.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))) 2)
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 8 (+.f64 (/.f64 (.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (*.f64 x 4)))
(/.f64 (*.f64 (/.f64 1 x) (/.f64 4 x)) (+.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 2 (/.f64 4 x)) (+.f64 (/.f64 (.f64 x 4) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4) 4)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 (*.f64 x (+.f64 x x)) x) 2))
(/.f64 (neg.f64 (/.f64 2 x)) (+.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (+.f64 x x) (.f64 x 4)))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 x (*.f64 x -2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) x) (+.f64 x x))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)) 4)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) 1/2)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 x x) 2))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 x (+.f64 x x))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) x) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) x)) (*.f64 x 4))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (neg.f64 (.f64 x (+.f64 x x))) (neg.f64 (.f64 x (+.f64 x x)))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4))) 16)
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (*.f64 x 4))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x))) 8)
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))) (*.f64 2 (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x))) 1)
(/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 x -2))
(/.f64 (+.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 2 (+.f64 (cos.f64 x) -1))) (+.f64 (.f64 x (.f64 x -2)) (.f64 x (.f64 x -2))))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (-.f64 0 (.f64 x (*.f64 x 4))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) x)) (.f64 x -2))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 x (+.f64 x x)))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (.f64 x -2))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))) (-.f64 0 (fabs.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) x)
(+.f64 (/.f64 1 (*.f64 x x)) 0)
(+.f64 0 (/.f64 1 (*.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) x)))
(-.f64 (/.f64 1 (*.f64 x x)) 0)
(-.f64 0 (/.f64 (/.f64 -1 x) x))
(.f64 1 (/.f64 1 (.f64 x x)))
(.f64 x (/.f64 2 (.f64 x (*.f64 x (+.f64 x x)))))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(.f64 (/.f64 1 (.f64 x x)) 1)
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) (fabs.f64 (/.f64 x x)))
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 x x)))
(.f64 2 (/.f64 (/.f64 1 (.f64 x x)) 2))
(.f64 2 (/.f64 x (.f64 x (*.f64 x (+.f64 x x)))))
(*.f64 2 (fabs.f64 (/.f64 (/.f64 1 x) (+.f64 x x))))
(.f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 x x)) 2)))
(.f64 2 (fabs.f64 (/.f64 x (.f64 x (*.f64 x (+.f64 x x))))))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 1 x)))
(.f64 (+.f64 x x) (/.f64 1 (.f64 x (*.f64 x (+.f64 x x)))))
(*.f64 (/.f64 2 x) (/.f64 1/2 x))
(.f64 (/.f64 2 x) (.f64 (/.f64 1 x) 1/2))
(*.f64 -1 (/.f64 (/.f64 -1 x) x))
(.f64 (/.f64 2 (.f64 x x)) 1/2)
(.f64 (/.f64 2 (.f64 x x)) (*.f64 x (/.f64 1/2 x)))
(.f64 (/.f64 2 (.f64 x x)) (fabs.f64 (*.f64 x (/.f64 1/2 x))))
(.f64 (/.f64 4 x) (/.f64 1 (.f64 x 4)))
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 2 (.f64 x (*.f64 x (+.f64 x x))))))
(.f64 (/.f64 x x) (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 (/.f64 -1 x) x) -1)
(.f64 1/2 (/.f64 2 (.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 2 x))
(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(*.f64 (/.f64 2 (fabs.f64 x)) (/.f64 1/2 (fabs.f64 x)))
(.f64 (/.f64 2 (fabs.f64 x)) (fabs.f64 (.f64 (/.f64 1 x) 1/2)))
(*.f64 (/.f64 1/2 (fabs.f64 x)) (/.f64 2 (fabs.f64 x)))
(.f64 (.f64 (/.f64 1 x) 1/2) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 x x)) 2)
(.f64 (/.f64 (/.f64 1 (.f64 x x)) 2) 2)
(.f64 (.f64 x (/.f64 1/2 x)) (/.f64 2 (*.f64 x x)))
(.f64 (/.f64 1 (.f64 x (*.f64 x (+.f64 x x)))) (+.f64 x x))
(.f64 (/.f64 x (.f64 x (*.f64 x (+.f64 x x)))) 2)
(.f64 (/.f64 2 (.f64 x (*.f64 x (+.f64 x x)))) x)
(.f64 (/.f64 1 (.f64 x 4)) (/.f64 4 x))
(.f64 (.f64 2 (fabs.f64 x)) (fabs.f64 (/.f64 1 (.f64 x (.f64 x (+.f64 x x))))))
(.f64 (/.f64 4 (fabs.f64 x)) (fabs.f64 (/.f64 1 (.f64 x 4))))
(neg.f64 (/.f64 (/.f64 -1 x) x))
(fabs.f64 (/.f64 1 (*.f64 x x)))
(fabs.f64 (/.f64 (/.f64 -1 x) x))
(fabs.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (neg.f64 x)))))
(fabs.f64 (/.f64 (.f64 x (neg.f64 x)) (.f64 x (.f64 x (.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 1 x) (fabs.f64 x)))
(fabs.f64 (/.f64 (/.f64 -1 x) (fabs.f64 x)))
(fabs.f64 (/.f64 (/.f64 x x) (*.f64 x (neg.f64 x))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (-.f64 0 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (.f64 2 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (/.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 (+.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 x) (+.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -1 (-.f64 0 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (/.f64 (*.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (+.f64 (.f64 2 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))) (.f64 2 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (+.f64 (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 x (+.f64 x x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 4 (+.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 x (+.f64 x x)) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 4 x) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 4 x) (+.f64 (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 8 (+.f64 (/.f64 (.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (.f64 x 4) (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) (/.f64 4 x)) (+.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 x) (/.f64 (/.f64 4 x) (+.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 2 (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 2 (/.f64 4 x)) (+.f64 (/.f64 (.f64 x 4) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x)))))
(.f64 2 (/.f64 (/.f64 4 x) (+.f64 (/.f64 (.f64 x 4) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x 4) (-.f64 1 (cos.f64 x))))))
(.f64 2 (/.f64 (/.f64 4 x) (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 8)))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (/.f64 (*.f64 x (+.f64 x x)) x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 2 x)) (+.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 -2 x) (+.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (+.f64 x x) (.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 4)) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 x (*.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) x) (+.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)) 4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 x x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 x (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) x) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) x)) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (+.f64 (neg.f64 (.f64 x (+.f64 x x))) (neg.f64 (.f64 x (+.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4)) (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 4))) 16)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (*.f64 x 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x x))) 8)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))) (*.f64 2 (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (.f64 2 (+.f64 (cos.f64 x) -1))) (+.f64 (.f64 x (.f64 x -2)) (.f64 x (.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 4)) (-.f64 0 (.f64 x (*.f64 x 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) x)) (.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 x (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x))) (-.f64 0 (fabs.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 1 (*.f64 x x)) 0)
(/.f64 1 (*.f64 x x))
(+.f64 0 (/.f64 1 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) x)))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (*.f64 x x)) 0)
(/.f64 1 (*.f64 x x))
(-.f64 0 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(.f64 1 (/.f64 1 (.f64 x x)))
(/.f64 1 (*.f64 x x))
(.f64 x (/.f64 2 (.f64 x (*.f64 x (+.f64 x x)))))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) 1)
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x x))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) (fabs.f64 (/.f64 x x)))
(/.f64 1 (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 x x)))
(/.f64 1 (*.f64 x x))
(.f64 2 (/.f64 (/.f64 1 (.f64 x x)) 2))
(/.f64 1 (*.f64 x x))
(.f64 2 (/.f64 x (.f64 x (*.f64 x (+.f64 x x)))))
(/.f64 1 (*.f64 x x))
(*.f64 2 (fabs.f64 (/.f64 (/.f64 1 x) (+.f64 x x))))
(/.f64 1 (*.f64 x x))
(.f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 x x)) 2)))
(/.f64 1 (*.f64 x x))
(.f64 2 (fabs.f64 (/.f64 x (.f64 x (*.f64 x (+.f64 x x))))))
(/.f64 1 (*.f64 x x))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 1 x)))
(.f64 2 (.f64 (/.f64 1 x) (/.f64 1/2 x)))
(.f64 (/.f64 1 x) (.f64 2 (/.f64 1/2 x)))
(.f64 (+.f64 x x) (/.f64 1 (.f64 x (*.f64 x (+.f64 x x)))))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1/2 x))
(.f64 (/.f64 2 x) (.f64 (/.f64 1 x) 1/2))
(.f64 (/.f64 1 x) (.f64 1/2 (/.f64 2 x)))
(.f64 1/2 (.f64 (/.f64 2 x) (/.f64 1 x)))
(.f64 1/2 (.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 -1 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 2 (.f64 x x)) 1/2)
(.f64 1/2 (/.f64 2 (.f64 x x)))
(.f64 (/.f64 2 (.f64 x x)) (*.f64 x (/.f64 1/2 x)))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 2 (.f64 x x)) (fabs.f64 (*.f64 x (/.f64 1/2 x))))
(.f64 (/.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x (+.f64 x x))))
(.f64 (/.f64 4 x) (/.f64 1 (.f64 x 4)))
(*.f64 (/.f64 4 x) (/.f64 1/4 x))
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 2 (.f64 x (*.f64 x (+.f64 x x))))))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 x x) (/.f64 1 (.f64 x x)))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1 x) x) -1)
(/.f64 1 (*.f64 x x))
(.f64 1/2 (/.f64 2 (.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 2 x))
(*.f64 (/.f64 2 x) (/.f64 1/2 x))
(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 2 (fabs.f64 x)) (/.f64 1/2 (fabs.f64 x)))
(.f64 (/.f64 2 (fabs.f64 x)) (fabs.f64 (.f64 (/.f64 1 x) 1/2)))
(.f64 (/.f64 2 (fabs.f64 x)) (fabs.f64 (.f64 1/2 (/.f64 1 x))))
(.f64 (/.f64 1 (fabs.f64 x)) (.f64 1/2 (/.f64 2 (fabs.f64 x))))
(.f64 1/2 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 2 (fabs.f64 x))))
(*.f64 (/.f64 1/2 (fabs.f64 x)) (/.f64 2 (fabs.f64 x)))
(*.f64 (/.f64 2 (fabs.f64 x)) (/.f64 1/2 (fabs.f64 x)))
(.f64 (.f64 (/.f64 1 x) 1/2) (/.f64 2 x))
(.f64 (/.f64 1 x) (.f64 1/2 (/.f64 2 x)))
(.f64 1/2 (.f64 (/.f64 2 x) (/.f64 1 x)))
(.f64 1/2 (.f64 (/.f64 1 x) (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 x x)) 2)
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 (/.f64 1 (.f64 x x)) 2) 2)
(/.f64 1 (*.f64 x x))
(.f64 (.f64 x (/.f64 1/2 x)) (/.f64 2 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x (*.f64 x (+.f64 x x)))) (+.f64 x x))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 x (.f64 x (*.f64 x (+.f64 x x)))) 2)
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 2 (.f64 x (*.f64 x (+.f64 x x)))) x)
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x 4)) (/.f64 4 x))
(.f64 (/.f64 4 x) (/.f64 1 (.f64 x 4)))
(*.f64 (/.f64 4 x) (/.f64 1/4 x))
(.f64 (.f64 2 (fabs.f64 x)) (fabs.f64 (/.f64 1 (.f64 x (.f64 x (+.f64 x x))))))
(.f64 (.f64 2 (fabs.f64 x)) (/.f64 1 (fabs.f64 (.f64 x (.f64 x (+.f64 x x))))))
(.f64 (.f64 2 (fabs.f64 x)) (fabs.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) x)))
(.f64 2 (fabs.f64 (.f64 x (/.f64 (/.f64 1/2 (*.f64 x x)) x))))
(.f64 (/.f64 4 (fabs.f64 x)) (fabs.f64 (/.f64 1 (.f64 x 4))))
(*.f64 (/.f64 4 (fabs.f64 x)) (fabs.f64 (/.f64 1/4 x)))
(*.f64 (/.f64 4 (fabs.f64 x)) (/.f64 1/4 (fabs.f64 x)))
(neg.f64 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 1 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (neg.f64 x)))))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (.f64 x (neg.f64 x)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (/.f64 1 x) (fabs.f64 x)))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (/.f64 -1 x) (fabs.f64 x)))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (/.f64 x x) (*.f64 x (neg.f64 x))))
(/.f64 1 (*.f64 x x))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
✓	0.9b	(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
	1.3b	(-.f64 1 (cos.f64 x))
	17.4b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 42 to 21 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
0.0ms	x	@	0	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))

rewrite112.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`rational.json-simplify-51`
818×	`rational.json-simplify-61`
724×	`rational.json-simplify-44`
722×	`rational.json-simplify-47`
594×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	125	46
2	415	46
3	1219	46
4	5830	46

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))

Outputs

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(cos.f64 x)))))))))

simplify191.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1440×	`rational.json-simplify-54`
1306×	`rational.json-simplify-2`
872×	`rational.json-simplify-39`
622×	`rational.json-simplify-35`
610×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	290	5799
1	809	5609
2	2871	5485
3	6769	5481

Stop Event

1×	node limit

Counts

147 → 252

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
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(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
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(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
2
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(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 1 (cos.f64 x))))
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(.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 x x)))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (*.f64 x x)))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 x x))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 1 x)))
(.f64 (.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))) -1)
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2))
(.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 x x) (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) 2))
(.f64 (.f64 x (.f64 x x)) (/.f64 x (.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
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(.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 1/2 (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 x 1/2) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2))
(.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (*.f64 x x)))))
(.f64 (/.f64 2 (.f64 x (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (/.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))))))
(*.f64 (/.f64 (fabs.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 x))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 x (+.f64 x x)))
(*.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) (+.f64 x x))
(.f64 (fabs.f64 (+.f64 x x)) (/.f64 (fabs.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 2 (/.f64 1 (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))
(.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(neg.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
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(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
2
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(+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 2 (.f64 (pow.f64 x 4) 1/120)))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 4) 1/120)))
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(.f64 (.f64 x (.f64 x 4)) (/.f64 1 (.f64 4 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 x 4) (*.f64 x (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(.f64 x (.f64 (*.f64 x 4) (/.f64 1/4 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (*.f64 x 4)) 1/4)
(.f64 1/4 (.f64 x (*.f64 4 (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (.f64 (*.f64 x 4) 1/4))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (fabs.f64 x) (.f64 (/.f64 (fabs.f64 x) (-.f64 1 (cos.f64 x))) 1))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 x x)))))
(.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (/.f64 1 x) (/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))) x))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (*.f64 x x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 x x))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 1 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))) -1)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(.f64 x (.f64 (neg.f64 x) (/.f64 1 (+.f64 (cos.f64 x) -1))))
(.f64 (.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 x 1/2))
(.f64 1/2 (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (*.f64 1/2 x) x))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 1/2 x)))
(.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 x x) (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (.f64 2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) 2))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 x (.f64 (+.f64 x x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(.f64 2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 2)))
(.f64 (.f64 x (.f64 x x)) (/.f64 x (.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (.f64 x (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 x (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (.f64 x (*.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 x (*.f64 x (fabs.f64 x))) (/.f64 (/.f64 1 (fabs.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 (/.f64 1 (fabs.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (*.f64 x x) (fabs.f64 x)))
(.f64 1/2 (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (*.f64 1/2 x) x))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 1/2 x)))
(.f64 (.f64 x 1/2) (*.f64 x (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 1/2 (.f64 (*.f64 x x) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (*.f64 1/2 x) x))
(.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 1/2 x)))
(.f64 (/.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 x x) 2)) (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 x x) 2)))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1/2) (.f64 x (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1/2))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (.f64 x x))) (.f64 x (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (.f64 x x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (.f64 x x))) (.f64 x (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (.f64 x x))))))
(.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (*.f64 x x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (.f64 x (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (/.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))))))
(.f64 (/.f64 (/.f64 2 x) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 x (/.f64 2 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 (.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 x (/.f64 2 x)) (-.f64 1 (cos.f64 x)))) (/.f64 x (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))))))
(.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (.f64 (/.f64 2 (/.f64 (/.f64 (.f64 x x) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)))) (/.f64 x (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x)))))))
(*.f64 (/.f64 (fabs.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 x))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (.f64 x (+.f64 x x)))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 x (.f64 (+.f64 x x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(.f64 2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 2)))
(*.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2) (+.f64 x x))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))
(.f64 x (.f64 (+.f64 x x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))
(.f64 2 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 2)))
(.f64 (fabs.f64 (+.f64 x x)) (/.f64 (fabs.f64 x) (.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (fabs.f64 (+.f64 x x)) (/.f64 (fabs.f64 x) (.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 2 (fabs.f64 x)) (/.f64 (fabs.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 2 (/.f64 1 (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x))))))
(.f64 2 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 2 (*.f64 x x)))))
(.f64 2 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 (.f64 x x) (/.f64 2 (*.f64 x x))) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(neg.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (*.f64 x x)))))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x (*.f64 x x))))))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(neg.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 2 (.f64 x (.f64 x x)))
	1.3b	(-.f64 1 (cos.f64 x))
✓	6.0b	(.f64 x (/.f64 (/.f64 2 (.f64 x (*.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
✓	21.7b	(/.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x))))

Compiler

Compiled 61 to 29 computations (52.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
0.0ms	x	@	0	(/.f64 2 (.f64 x (.f64 x x)))
0.0ms	x	@	-inf	(/.f64 2 (.f64 x (.f64 x x)))
0.0ms	x	@	inf	(/.f64 2 (.f64 x (.f64 x x)))
0.0ms	x	@	-inf	(/.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x))))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`rational.json-simplify-35`
834×	`bool.json-1`
834×	`bool.json-2`
808×	`rational.json-1`
808×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	107
1	163	83
2	588	83
3	2119	83
4	6952	83

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(/.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 x (/.f64 (/.f64 2 (.f64 x (*.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(/.f64 2 (.f64 x (.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x x))) (*.f64 (-.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (*.f64 x (*.f64 x x)))) (*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 1/2 (/.f64 1 (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (*.f64 x (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 -1 (*.f64 x (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (*.f64 -1 (/.f64 1 (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 x x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) (*.f64 2 (/.f64 2 (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x (*.f64 x x))) (*.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (*.f64 x x))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (-.f64 1 (cos.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 2 (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (/.f64 2 (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (-.f64 1 (cos.f64 x)) 1/2)) (*.f64 x (/.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (*.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) 4) (*.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x x) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 x x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (*.f64 x (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (/.f64 2 (*.f64 x (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x (*.f64 x x))) (/.f64 1 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (*.f64 x (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 2 (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -2 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (*.f64 x (*.f64 x x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (/.f64 1 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (*.f64 x (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 2 (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (*.f64 x (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 2 (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (/.f64 2 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2 (*.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2 (*.f64 x (*.f64 x x))) (/.f64 2 (*.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2 (*.f64 x (*.f64 x x))) (/.f64 2 (*.f64 x (*.f64 x x))))))))

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1406×	`rational.json-simplify-61`
1366×	`rational.json-simplify-2`
1260×	`rational.json-simplify-35`
978×	`rational.json-simplify-51`
944×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	2807
1	507	2807
2	1420	2579
3	4698	2573
4	7823	2573

Stop Event

1×	node limit

Counts

107 → 103

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/40320 (pow.f64 x 5)) (.f64 1/2 (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x))))
(.f64 (/.f64 2 (.f64 x (.f64 x x))) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x (*.f64 x x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) 1)
(.f64 (.f64 2 (/.f64 2 (.f64 x (.f64 x x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2))
(.f64 (.f64 2 (/.f64 2 (.f64 x (.f64 x x)))) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 1/2)))
(.f64 (.f64 2 (/.f64 2 (.f64 x (.f64 x x)))) (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) 1))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (.f64 x (.f64 x x))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (.f64 1/2 (/.f64 1 (.f64 x (*.f64 x x)))))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1/2 (.f64 x (*.f64 x x))) 1))
(.f64 (/.f64 2 x) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 x x)))
(.f64 (/.f64 2 x) (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 x x)) 1))
(.f64 (/.f64 2 x) (.f64 (/.f64 1 (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) 1/2)))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (.f64 x (*.f64 x x))))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 -1 (.f64 x (.f64 x x))) 1))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 -1 (/.f64 1 (.f64 x (.f64 x x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (.f64 x (.f64 x x))))
(.f64 (/.f64 1 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x x))) -1)
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 x x)) (/.f64 2 x))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) (.f64 2 (/.f64 2 (.f64 x (*.f64 x x)))))
(.f64 (/.f64 1/2 (.f64 x (.f64 x x))) (.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 -1 (.f64 x (*.f64 x x))) (+.f64 (cos.f64 x) -1))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x))))
(neg.f64 (/.f64 (/.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (-.f64 1 (cos.f64 x)))) x))
(neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) x))
(+.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))) 0)
(+.f64 0 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))))
(-.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))) 0)
(/.f64 x (.f64 (.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 1 x))
(/.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))) 1)
(/.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (+.f64 x x) (.f64 2 (.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 x (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))) 4) 4)
(/.f64 (.f64 x (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (.f64 x (/.f64 (.f64 x x) 2)))
(/.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))) (/.f64 2 x))
(/.f64 (+.f64 (.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))) 4) (.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))) 4)) 8)
(/.f64 (/.f64 x x) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 2 x)) 1/2)
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) 0)
(+.f64 0 (/.f64 2 (.f64 x (.f64 x x))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 2 (.f64 x (.f64 x x))))))
(+.f64 (/.f64 1 (.f64 x (.f64 x x))) (/.f64 1 (.f64 x (.f64 x x))))
(-.f64 (/.f64 2 (.f64 x (.f64 x x))) 0)
(-.f64 0 (neg.f64 (/.f64 2 (.f64 x (.f64 x x)))))
(-.f64 0 (/.f64 -2 (.f64 x (.f64 x x))))
(.f64 2 (/.f64 1 (.f64 x (*.f64 x x))))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) 1)
(.f64 1 (/.f64 2 (.f64 x (*.f64 x x))))
(.f64 (.f64 2 (/.f64 2 (.f64 x (.f64 x x)))) 1/2)
(.f64 (/.f64 2 x) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 2 x) (.f64 (/.f64 1 (*.f64 x x)) 1))
(.f64 (neg.f64 (/.f64 2 (.f64 x (*.f64 x x)))) -1)
(.f64 (/.f64 1 (.f64 x (*.f64 x x))) 2)
(.f64 (/.f64 1 (.f64 x x)) (/.f64 2 x))
(.f64 1/2 (.f64 2 (/.f64 2 (.f64 x (.f64 x x)))))
(.f64 (/.f64 -2 (.f64 x (*.f64 x x))) -1)
(neg.f64 (neg.f64 (/.f64 2 (.f64 x (.f64 x x)))))
(neg.f64 (/.f64 -2 (.f64 x (.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (/.f64 2 (*.f64 x x))) x))

Outputs
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (*.f64 1/720 (pow.f64 x 3)))
(+.f64 (.f64 x -1/24) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/720 (pow.f64 x 3))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/40320 (pow.f64 x 5)) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 x -1/24) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/40320 (pow.f64 x 5)))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 x -1/24) (.f64 -1/40320 (pow.f64 x 5)))))
(+.f64 (.f64 x -1/24) (+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/40320 (pow.f64 x 5)))))
(+.f64 (.f64 x -1/24) (+.f64 (.f64 -1/40320 (pow.f64 x 5)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (/.f64 2 (.f64 x (.f64 x x))) (.f64 (-.f64 1 (cos.f64 x)) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (.f64 2 (/.f64 2 (.f64 x (.f64 x x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (.f64 2 (/.f64 2 (.f64 x (.f64 x x)))) (.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (.f64 2 (/.f64 2 (.f64 x (.f64 x x)))) (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (.f64 x (.f64 x x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) (*.f64 x x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1/2 (.f64 x (.f64 x x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (/.f64 1/2 (*.f64 x x)) x)))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (.f64 1/2 (/.f64 1 (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (.f64 2 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1/2 (.f64 x (*.f64 x x))) 1))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) (*.f64 x x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1/2 (.f64 x (.f64 x x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (/.f64 1/2 (*.f64 x x)) x)))
(.f64 (/.f64 2 x) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (/.f64 2 x) (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (.f64 x x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (/.f64 2 x) (.f64 (/.f64 1 (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 (/.f64 -1 (.f64 x (.f64 x x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 -1 (/.f64 1 (.f64 x (.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (.f64 x (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (/.f64 1 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 x x)) (/.f64 2 x))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) (.f64 2 (/.f64 2 (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(.f64 (/.f64 1/2 (.f64 x (.f64 x x))) (.f64 2 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 x) (*.f64 x x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 1/2 (.f64 x (.f64 x x)))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 2 (/.f64 (/.f64 1/2 (*.f64 x x)) x)))
(.f64 (/.f64 -1 (.f64 x (*.f64 x x))) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(neg.f64 (/.f64 (/.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (-.f64 1 (cos.f64 x)))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))
(+.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))) 0)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))) 0)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 x (.f64 (.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 1 x))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x)))) 1)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 x x) (.f64 2 (.f64 (*.f64 x x) (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 x (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x)))) 2)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))) 4) 4)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 x (.f64 (-.f64 1 (cos.f64 x)) 1/2)) (.f64 x (/.f64 (.f64 x x) 2)))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))) (/.f64 2 x))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))) 4) (.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))) 4)) 8)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 x x) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 2 x)) 1/2)
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 1 x)))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) 0)
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(+.f64 0 (/.f64 2 (.f64 x (.f64 x x))))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 2 (.f64 x (.f64 x x))))))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(+.f64 (/.f64 1 (.f64 x (.f64 x x))) (/.f64 1 (.f64 x (.f64 x x))))
(/.f64 (.f64 (/.f64 1 x) (+.f64 x x)) (.f64 x (*.f64 x x)))
(-.f64 (/.f64 2 (.f64 x (.f64 x x))) 0)
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(-.f64 0 (neg.f64 (/.f64 2 (.f64 x (.f64 x x)))))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(-.f64 0 (/.f64 -2 (.f64 x (.f64 x x))))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(.f64 2 (/.f64 1 (.f64 x (*.f64 x x))))
(.f64 2 (/.f64 (/.f64 1 x) (.f64 x x)))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) 1)
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(.f64 1 (/.f64 2 (.f64 x (*.f64 x x))))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(.f64 (.f64 2 (/.f64 2 (.f64 x (.f64 x x)))) 1/2)
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(.f64 (/.f64 2 x) (/.f64 1 (.f64 x x)))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(.f64 (/.f64 2 x) (.f64 (/.f64 1 (*.f64 x x)) 1))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(.f64 (neg.f64 (/.f64 2 (.f64 x (*.f64 x x)))) -1)
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(.f64 (/.f64 1 (.f64 x (*.f64 x x))) 2)
(.f64 2 (/.f64 1 (.f64 x (*.f64 x x))))
(.f64 2 (/.f64 (/.f64 1 x) (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 2 x))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(.f64 1/2 (.f64 2 (/.f64 2 (.f64 x (.f64 x x)))))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(.f64 (/.f64 -2 (.f64 x (*.f64 x x))) -1)
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(neg.f64 (neg.f64 (/.f64 2 (.f64 x (.f64 x x)))))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(neg.f64 (/.f64 -2 (.f64 x (.f64 x x))))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (/.f64 2 (*.f64 x x))) x))
(/.f64 2 (.f64 x (.f64 x x)))
(/.f64 (/.f64 2 x) (*.f64 x x))

eval445.0ms (3.6%)

Compiler: Compiled 15749 to 9962 computations (36.7% saved)

prune306.0ms (2.5%)

Pruning

33 alts after pruning (24 fresh and 9 done)

	Pruned	Kept	Total
New	885	16	901
Fresh	3	8	11
Picked	1	0	1
Done	2	9	11
Total	891	33	924

Error

0.1b

Counts

924 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.1b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))
	31.7b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
	33.2b	(/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))
	16.2b	(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
	33.1b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
✓	33.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	39.0b	(/.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))) (/.f64 2 x))
	33.2b	(/.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 x x) x))
	39.0b	(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
	35.8b	(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
	48.3b	(/.f64 6 (pow.f64 x 2))
	16.2b	(/.f64 1 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) (/.f64 1 x)))
	16.2b	(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 1 x)))
	33.2b	(/.f64 1 (/.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
	16.3b	(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
✓	33.1b	(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
	16.2b	(/.f64 1 (/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
	45.1b	(/.f64 1 (.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
✓	32.6b	(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
	16.3b	(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
	32.6b	(/.f64 1 (.f64 x (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))
✓	30.6b	(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
✓	32.3b	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
	16.2b	(.f64 (/.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1/2 x))
	33.1b	(.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
✓	33.1b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
	39.0b	(.f64 (.f64 (/.f64 2 (.f64 x (.f64 x (+.f64 x x)))) x) (-.f64 1 (cos.f64 x)))
✓	30.0b	(*.f64 x (/.f64 1/2 x))
	30.7b	(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
✓	30.8b	(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
	16.3b	(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
	45.6b	(.f64 2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (.f64 x x) (.f64 2 (.f64 x x))) (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))
	29.9b	1/2

Compiler

Compiled 441 to 314 computations (28.8% saved)

regimes93.0ms (0.8%)

Counts

47 → 3

Calls

Call 1

Inputs
1/2
(*.f64 x (/.f64 1/2 x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1/2 x))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 1 x)))
(/.f64 1 (/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) (/.f64 1 x)))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (.f64 x (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1) (*.f64 x x))
(/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))
(.f64 (/.f64 1 (.f64 x x)) (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (/.f64 (/.f64 2 (.f64 x (*.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (/.f64 2 (.f64 x (.f64 x (+.f64 x x)))) x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))) (/.f64 2 x))
(.f64 x (+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (.f64 1/720 (pow.f64 x 3))))
(.f64 (.f64 (+.f64 x x) (/.f64 1/4 (.f64 x (.f64 x x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 x x) x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 (+.f64 x x) (.f64 (/.f64 x 2) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 (/.f64 (fabs.f64 (/.f64 (/.f64 (/.f64 x (/.f64 -1/2 x)) x) (.f64 x 4))) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 2 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (.f64 x x) (.f64 2 (.f64 x x))) (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x (-.f64 1 (cos.f64 x)))))))

Outputs
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

Calls

2 calls:

59.0ms	x
22.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.2b	3	`x`
1.0b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 616 to 376 computations (39% saved)

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.004922773687918051	382041.83782070456
20.0ms	-15.106389775920235	-1.3300266434352101e-5

Results

34.0ms

288×

body

256

valid

Compiler

Compiled 481 to 387 computations (19.5% saved)

regimes82.0ms (0.7%)

Counts

44 → 3

Calls

Call 1

Inputs
1/2
(*.f64 x (/.f64 1/2 x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1/2 x))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 1 x)))
(/.f64 1 (/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) (/.f64 1 x)))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (.f64 x (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1) (*.f64 x x))
(/.f64 (/.f64 x (*.f64 x x)) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (*.f64 x x) x))
(.f64 (/.f64 1 (.f64 x x)) (+.f64 (-.f64 1 (+.f64 (cos.f64 x) -1)) -1))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (.f64 -1/24 x) (*.f64 1/720 (pow.f64 x 3)))))
(.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (/.f64 (/.f64 2 (.f64 x (*.f64 x x))) (/.f64 2 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (/.f64 2 (.f64 x (.f64 x (+.f64 x x)))) x) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))) (/.f64 2 x))
(.f64 x (+.f64 (+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x))) (.f64 1/720 (pow.f64 x 3))))
(.f64 (.f64 (+.f64 x x) (/.f64 1/4 (.f64 x (.f64 x x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 x x) x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 (+.f64 x x) (.f64 (/.f64 x 2) (/.f64 1 x))))

Outputs
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

Calls

2 calls:

52.0ms	x
19.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.2b	3	`x`
1.1b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 548 to 333 computations (39.2% saved)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.004922773687918051	382041.83782070456
19.0ms	-15.106389775920235	-1.3300266434352101e-5

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 373 to 297 computations (20.4% saved)

regimes46.0ms (0.4%)

Counts

22 → 3

Calls

Call 1

Inputs
1/2
(*.f64 x (/.f64 1/2 x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1/2 x))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 1 x)))
(/.f64 1 (/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) (/.f64 1 x)))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))

Outputs
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

Calls

2 calls:

30.0ms	x
11.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.2b	3	`x`
1.1b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 238 to 166 computations (30.3% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.004922773687918051	382041.83782070456
19.0ms	-15.106389775920235	-1.3300266434352101e-5

Results

33.0ms

288×

body

256

valid

Compiler

Compiled 373 to 297 computations (20.4% saved)

regimes46.0ms (0.4%)

Counts

21 → 3

Calls

Call 1

Inputs
1/2
(*.f64 x (/.f64 1/2 x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1/2 x))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 1 x)))
(/.f64 1 (/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) (/.f64 1 x)))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))

Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

Calls

2 calls:

29.0ms	x
11.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.2b	3	`x`
1.1b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 228 to 160 computations (29.8% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.004922773687918051	382041.83782070456
19.0ms	-15.106389775920235	-1.3300266434352101e-5

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 355 to 279 computations (21.4% saved)

regimes40.0ms (0.3%)

Counts

18 → 3

Calls

Call 1

Inputs
1/2
(*.f64 x (/.f64 1/2 x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1/2 x))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 1 x)))
(/.f64 1 (/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) (/.f64 1 x)))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Calls

2 calls:

25.0ms	x
11.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
1.1b	3	`x`
1.1b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 201 to 146 computations (27.4% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.004922773687918051	382041.83782070456
20.0ms	-15.106389775920235	-1.3300266434352101e-5

Results

33.0ms

288×

body

256

valid

Compiler

Compiled 355 to 279 computations (21.4% saved)

regimes14.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
1/2
(*.f64 x (/.f64 1/2 x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1/2 x))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 1 x)))
(/.f64 1 (/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x 1/6) (/.f64 2 x)))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))) (/.f64 1 x)))
(/.f64 6 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))

Outputs
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 1 x)))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
16.2b	1	`x`

Compiler

Compiled 184 to 136 computations (26.1% saved)

regimes11.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
1/2
(*.f64 x (/.f64 1/2 x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 2 x) (.f64 x 1/6))) x))
(.f64 (/.f64 2 (+.f64 (.f64 x 1/6) (/.f64 2 x))) (/.f64 1/2 x))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 2 x)))))

Outputs
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
16.2b	1	`x`

Compiler

Compiled 112 to 81 computations (27.7% saved)

regimes6.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
1/2
(*.f64 x (/.f64 1/2 x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))

Outputs
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
16.3b	1	`x`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes13.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
1/2
(*.f64 x (/.f64 1/2 x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
(.f64 x (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))))

Outputs
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
18.3b	3	`x`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch89.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	0.004922773687918051	382041.83782070456
19.0ms	-15.106389775920235	-1.3300266434352101e-5

Results

85.0ms

288×

body

256

valid

Compiler

Compiled 409 to 279 computations (31.8% saved)

regimes4.0ms (0%)

Accuracy

Total -1.1b remaining (-3.8%)

Threshold costs -1.1b (-3.8%)

Counts

3 → 1

Calls

Call 1

Inputs
1/2
(*.f64 x (/.f64 1/2 x))
(.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x)))

Outputs
1/2

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
29.9b	1	`x`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify175.0ms (1.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	644

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1152921504606847/36028797018963968) (.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1642913144064757/288230376151711744) (.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 6456360425798343/1152921504606846976) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1642913144064757/288230376151711744) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 6456360425798343/1152921504606846976) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1642913144064757/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 6456360425798343/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1642913144064757/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 6456360425798343/1152921504606846976) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 1 x)))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(if (<=.f64 x -13/4) (/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x)) (if (<=.f64 x 3602879701896397/1125899906842624) (.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x))) (/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))))
1/2

Outputs
(if (<=.f64 x -1152921504606847/36028797018963968) (.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1642913144064757/288230376151711744) (.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 6456360425798343/1152921504606846976) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1642913144064757/288230376151711744) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 6456360425798343/1152921504606846976) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1642913144064757/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 6456360425798343/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1642913144064757/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 6456360425798343/1152921504606846976) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 2 x)) (/.f64 1 x)))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/6)))
(/.f64 1 (.f64 x (+.f64 (/.f64 2 x) (.f64 x 1/6))))
(if (<=.f64 x -13/4) (/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x)) (if (<=.f64 x 3602879701896397/1125899906842624) (.f64 x (+.f64 (/.f64 1/2 x) (.f64 -1/24 x))) (/.f64 (.f64 x 1/2) (/.f64 (.f64 x x) x))))
1/2

Compiler

Compiled 248 to 172 computations (30.6% saved)

soundness106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1198×	`rational.json-simplify-2`
1036×	`rational.json-simplify-19`
930×	`rational.json-simplify-35`
582×	`rational.json-simplify-55`
540×	`rational.json-simplify-40`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2922
1	921	2918
2	3731	2898
3	7187	2898

Stop Event

1×	node limit

Compiler

Compiled 33 to 21 computations (36.4% saved)

end159.0ms (1.3%)

Compiler: Compiled 239 to 158 computations (33.9% saved)