Details

analyze427.0ms (1.9%)

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
0%	0%	100%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample12.0s (52.5%)

Results

6.2s	2141×	body	2048	valid
3.5s	3047×	body	1024	valid
1.4s	1514×	body	512	valid
392.0ms	1453×	body	256	valid
356.0ms	99×	body	4096	valid
8.0ms	2×	body	8192	valid

Bogosity

preprocess82.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1668×	`trig.json-simplify-41`
848×	`rational.json-simplify-64`
758×	`rational.json-simplify-44`
486×	`rational.json-simplify-2`
464×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	19	21
2	32	21
3	52	21
4	83	21
5	167	21
6	504	21
7	1440	21
8	3385	21
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)) (sin.f64 x))

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1668×	`trig.json-simplify-41`
848×	`rational.json-simplify-64`
758×	`rational.json-simplify-44`
486×	`rational.json-simplify-2`
464×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	19	21
2	32	21
3	52	21
4	83	21
5	167	21
6	504	21
7	1440	21
8	3385	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune2.0ms (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

28.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.8b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	2.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite302.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`rational.json-simplify-2`
962×	`rational.json-simplify-44`
758×	`rational.json-5`
756×	`exponential.json-3`
756×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	83	32
2	306	32
3	1277	32
4	5918	32

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 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 (neg.f64 (cos.f64 x)) 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 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.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 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 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 (neg.f64 (cos.f64 x)) 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 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.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 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))

simplify188.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational.json-simplify-50`
1202×	`rational.json-simplify-54`
1116×	`rational.json-simplify-58`
1106×	`rational.json-simplify-43`
728×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	896
1	195	820
2	454	820
3	2236	820
4	5767	820

Stop Event

1×	node limit

Counts

42 → 55

Calls

Call 1

Inputs
(*.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 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
(*.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 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.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 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.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 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/2 x) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval31.0ms (0.1%)

Compiler: Compiled 926 to 583 computations (37% saved)

prune94.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Error

0.4b

Counts

56 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.8b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	30.6b	(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (sin.f64 x))
▶	30.5b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
▶	28.8b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
	33.1b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
▶	33.1b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
	33.0b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	30.6b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
	30.5b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
▶	32.7b	(*.f64 1/2 x)

Compiler

Compiled 428 to 290 computations (32.2% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	1.6b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
	2.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 53 to 32 computations (39.6% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
1.0ms	x	@	inf	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
1.0ms	x	@	0	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
0.0ms	x	@	-inf	(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
0.0ms	x	@	0	(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

rewrite307.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`rational.json-simplify-1`
878×	`rational.json-5`
876×	`exponential.json-3`
876×	`rational.json-1`
876×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	135	48
2	431	48
3	1576	48
4	6988	48

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))

simplify215.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational.json-simplify-111`
1020×	`rational.json-simplify-49`
796×	`rational.json-simplify-2`
724×	`rational.json-simplify-54`
664×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1904
1	210	1904
2	505	1904
3	1583	1900
4	4777	1900

Stop Event

1×	node limit

Counts

68 → 77

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5)))) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(+.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(+.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(pow.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(neg.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
-1
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 x -1/2) -1)
(+.f64 -1 (*.f64 x -1/2))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(+.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)) -1)
(+.f64 -1 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (+.f64 -1 (.f64 x -1/2)) (.f64 (pow.f64 x 3) -1/24))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5)))) 1)
(+.f64 (+.f64 (.f64 x -1/2) (+.f64 (.f64 (pow.f64 x 5) -1/240) (*.f64 (pow.f64 x 3) -1/24))) -1)
(+.f64 -1 (+.f64 (.f64 x -1/2) (+.f64 (.f64 (pow.f64 x 3) -1/24) (*.f64 (pow.f64 x 5) -1/240))))
(+.f64 -1 (+.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)) (*.f64 (pow.f64 x 5) -1/240)))
(+.f64 -1 (+.f64 (.f64 (pow.f64 x 3) -1/24) (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 5) -1/240))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 1 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(.f64 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(pow.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	0.0b	(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
✓	0.1b	(*.f64 1/240 (pow.f64 x 5))
✓	0.1b	(*.f64 1/24 (pow.f64 x 3))

Compiler

Compiled 52 to 41 computations (21.2% saved)

series4.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/24 (pow.f64 x 3))
1.0ms	x	@	0	(*.f64 1/240 (pow.f64 x 5))
0.0ms	x	@	inf	(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
0.0ms	x	@	-inf	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/24 (pow.f64 x 3))

rewrite141.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`rational.json-simplify-54`
818×	`rational.json-simplify-47`
790×	`rational.json-simplify-49`
678×	`rational.json-simplify-58`
604×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	124	100
2	352	100
3	1257	100
4	4852	100

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

Inputs
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 1/24 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/24 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/24 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/24 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/240 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/240 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 1/240 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/240 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/240 (pow.f64 x 5)) (/.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/240 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/240 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/24 (pow.f64 x 3)) (neg.f64 (.f64 1/240 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/240 (pow.f64 x 5)) (neg.f64 (.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (.f64 1/240 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 1/24 (pow.f64 x 3)))) (-.f64 1 (.f64 1/240 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 -1 (.f64 1/240 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 1/24 (pow.f64 x 3))) (.f64 1/240 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 1/240 (pow.f64 x 5)))) (-.f64 1 (.f64 1/24 (pow.f64 x 3))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (neg.f64 (.f64 x 1/2)) (.f64 1/240 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/240 (pow.f64 x 5)) (-.f64 (neg.f64 (.f64 x 1/2)) (.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (neg.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 1/2) (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (.f64 1/240 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)) (neg.f64 (.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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(.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))))))

simplify364.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1222×	`rational.json-simplify-2`
1178×	`rational.json-simplify-54`
1006×	`rational.json-simplify-50`
890×	`rational.json-simplify-1`
802×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	3136
1	394	3136
2	1134	3136
3	3681	3136
4	7752	3136

Stop Event

1×	node limit

Counts

100 → 87

Calls

Call 1

Inputs
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(-.f64 0 (neg.f64 (*.f64 1/24 (pow.f64 x 3))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/24 (pow.f64 x 3)))) 1)
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(/.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3))))
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(neg.f64 (neg.f64 (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(-.f64 0 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/240 (pow.f64 x 5)))) 1)
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(/.f64 (.f64 1/240 (pow.f64 x 5)) (/.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 5))))
(pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(neg.f64 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (neg.f64 (.f64 1/240 (pow.f64 x 5))))
(-.f64 (.f64 1/240 (pow.f64 x 5)) (neg.f64 (.f64 1/24 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) 0)
(-.f64 0 (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (.f64 1/240 (pow.f64 x 5))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/24 (pow.f64 x 3)))) (-.f64 1 (.f64 1/240 (pow.f64 x 5))))
(-.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 -1 (.f64 1/240 (pow.f64 x 5)))) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 1/24 (pow.f64 x 3))) (.f64 1/240 (pow.f64 x 5)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/240 (pow.f64 x 5)))) (-.f64 1 (.f64 1/24 (pow.f64 x 3))))
(-.f64 (-.f64 (.f64 1/240 (pow.f64 x 5)) (-.f64 -1 (.f64 1/24 (pow.f64 x 3)))) 1)
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) 1)
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) 1))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) 1) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) 1)
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(pow.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (.f64 1/240 (pow.f64 x 5))))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (neg.f64 (.f64 x 1/2)) (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (.f64 1/240 (pow.f64 x 5)) (-.f64 (neg.f64 (.f64 x 1/2)) (*.f64 1/24 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (neg.f64 (*.f64 x 1/2)))
(-.f64 (.f64 x 1/2) (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 0)
(-.f64 0 (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))))
(-.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)) (neg.f64 (*.f64 1/24 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (neg.f64 (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (-.f64 -1 (*.f64 x 1/2))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/24 (pow.f64 x 3)))) (-.f64 (-.f64 1 (.f64 x 1/2)) (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (-.f64 (.f64 x 1/2) (-.f64 (-.f64 -1 (.f64 1/24 (pow.f64 x 3))) (*.f64 1/240 (pow.f64 x 5)))) 1)
(-.f64 (-.f64 (.f64 x 1/2) (-.f64 -1 (.f64 1/24 (pow.f64 x 3)))) (-.f64 1 (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (-.f64 (.f64 x 1/2) (-.f64 -1 (.f64 1/240 (pow.f64 x 5)))) (-.f64 1 (*.f64 1/24 (pow.f64 x 3))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 1/24 (pow.f64 x 3))) (.f64 1/240 (pow.f64 x 5)))) (-.f64 1 (*.f64 x 1/2)))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/240 (pow.f64 x 5)))) (-.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 x 1/2))) (-.f64 (-.f64 1 (.f64 1/240 (pow.f64 x 5))) (*.f64 1/24 (pow.f64 x 3))))
(-.f64 (-.f64 0 (-.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))))) 1)
(-.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (-.f64 -1 (*.f64 1/240 (pow.f64 x 5)))) 1)
(-.f64 (-.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)) (-.f64 -1 (*.f64 1/24 (pow.f64 x 3)))) 1)
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) 1)
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))))
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))
(.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) 1))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (/.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))))
(.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) 1) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))) (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))))) (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))))))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))))
(pow.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))))

Outputs
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(*.f64 1/24 (pow.f64 x 3))
(-.f64 0 (neg.f64 (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/24 (pow.f64 x 3)))) 1)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(*.f64 1/24 (pow.f64 x 3))
(neg.f64 (neg.f64 (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(-.f64 0 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/240 (pow.f64 x 5)))) 1)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (.f64 1/240 (pow.f64 x 5)) (/.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 5))))
(*.f64 1/240 (pow.f64 x 5))
(pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(*.f64 1/240 (pow.f64 x 5))
(neg.f64 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (.f64 1/24 (pow.f64 x 3)) (neg.f64 (.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(-.f64 (.f64 1/240 (pow.f64 x 5)) (neg.f64 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) 0)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(-.f64 0 (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/24 (pow.f64 x 3)))) (-.f64 1 (.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(-.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 -1 (.f64 1/240 (pow.f64 x 5)))) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 1/24 (pow.f64 x 3))) (.f64 1/240 (pow.f64 x 5)))) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/240 (pow.f64 x 5)))) (-.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(-.f64 (-.f64 (.f64 1/240 (pow.f64 x 5)) (-.f64 -1 (.f64 1/24 (pow.f64 x 3)))) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) 1))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
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(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(neg.f64 (-.f64 (neg.f64 (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
✓	0.2b	(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
✓	0.3b	(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
	2.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 61 to 36 computations (41% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite151.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`rational.json-5`
912×	`exponential.json-3`
912×	`rational.json-1`
912×	`rational.json-2`
912×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	135
1	111	59
2	399	59
3	1614	59
4	7820	59

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (fabs.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 0 (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))))))

((#(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 (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 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (cos.f64 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 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))) (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 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))))

simplify227.0ms (1%)

Algorithm

1×	egg-herbie

Rules

966×	`rational.json-simplify-49`
848×	`rational.json-simplify-2`
708×	`rational.json-simplify-41`
700×	`rational.json-simplify-54`
696×	`rational.json-simplify-104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	2151
1	375	2151
2	617	2151
3	1397	2151
4	3345	2151
5	7702	2151

Stop Event

1×	node limit

Counts

95 → 97

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.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 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (-.f64 1 (cos.f64 x))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) 2))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 0 (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(+.f64 1 (-.f64 -1 (+.f64 (cos.f64 x) -1)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 (-.f64 1 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))) (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)

Outputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 6)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10))) (.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10))) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/320 (pow.f64 x 8))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 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 (pow.f64 x 4) -1/24))
(+.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 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 6) 1/720)))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24)) (*.f64 (pow.f64 x 6) 1/720))
(+.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 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320))))
(+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (pow.f64 x 8) -1/40320)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/720)))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24)) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320)))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 x 1/2))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (+.f64 (cos.f64 x) -1)))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) 2))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 0 (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.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 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))) (cos.f64 x))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
✓	0.3b	(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
	0.3b	(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
	2.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 136 to 81 computations (40.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
1.0ms	x	@	inf	(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
0.0ms	x	@	-inf	(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
0.0ms	x	@	0	(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
0.0ms	x	@	inf	(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`rational.json-simplify-55`
904×	`rational.json-5`
902×	`exponential.json-3`
902×	`rational.json-1`
902×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	172
1	112	140
2	407	70
3	1689	70

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs

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

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

Outputs

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((#(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 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (cos.f64 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 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))) (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 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))))

simplify179.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1500×	`rational.json-simplify-47`
1314×	`rational.json-simplify-76`
1170×	`rational.json-simplify-111`
1082×	`rational.json-simplify-49`
1008×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	4299
1	448	4299
2	787	4299
3	2072	4299
4	4734	4299

Stop Event

1×	node limit

Counts

97 → 96

Calls

Call 1

Inputs
(*.f64 1/16 (pow.f64 x 8))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))
(+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (*.f64 1/16 (pow.f64 x 8))))
(+.f64 (.f64 -1/3024 (pow.f64 x 14)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(*.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 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(-.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 0)
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 1)
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(pow.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 1)
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x))))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))))
(fabs.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))))
(fabs.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x))))) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (-.f64 1 (cos.f64 x))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (fabs.f64 (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) 2))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 0 (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 (-.f64 1 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))) (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))

Outputs
(*.f64 1/16 (pow.f64 x 8))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 10)))
(+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (*.f64 1/16 (pow.f64 x 8))))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (+.f64 (.f64 1/16 (pow.f64 x 8)) (*.f64 19/5760 (pow.f64 x 12))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (*.f64 -1/48 (pow.f64 x 10))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (*.f64 19/5760 (pow.f64 x 12))))
(+.f64 (.f64 -1/3024 (pow.f64 x 14)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))))
(+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 10))) (.f64 -1/3024 (pow.f64 x 14))))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 19/5760 (pow.f64 x 12))) (.f64 -1/3024 (pow.f64 x 14))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 19/5760 (pow.f64 x 12))) (.f64 -1/3024 (pow.f64 x 14))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (.f64 -1/3024 (pow.f64 x 14)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(*.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 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (pow.f64 x 8) -1/40320))))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 (pow.f64 x 8) -1/40320)))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 0)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(+.f64 0 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(-.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 0)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(pow.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
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(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (fabs.f64 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (fabs.f64 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) 2))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 0 (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(+.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 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))) (cos.f64 x))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))

eval668.0ms (2.9%)

Compiler: Compiled 30156 to 19659 computations (34.8% saved)

prune362.0ms (1.6%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	820	16	836
Fresh	2	2	4
Picked	1	0	1
Done	2	3	5
Total	825	21	846

Error

0.3b

Counts

846 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.8b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	30.6b	(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (sin.f64 x))
	30.6b	(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (pow.f64 (-.f64 1 (cos.f64 x)) 4)) (sin.f64 x))
▶	30.5b	(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
	30.6b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	30.5b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.9b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	29.6b	(-.f64 (-.f64 0 (-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))) 1)
	60.0b	(-.f64 (-.f64 0 (-.f64 (*.f64 -1/2 x) 1)) 1)
▶	28.9b	(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)) 1)
▶	28.9b	(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) 1)
▶	61.3b	(-.f64 (-.f64 0 -1) 1)
	33.1b	(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
▶	28.8b	(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
	28.8b	(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
	33.0b	(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
✓	33.1b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
	30.6b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
	30.5b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
	30.5b	(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
✓	32.7b	(*.f64 1/2 x)

Compiler

Compiled 946 to 650 computations (31.3% saved)

localize136.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	1.6b	(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
	2.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite122.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`rational.json-simplify-2`
1096×	`rational.json-simplify-44`
852×	`rational.json-simplify-1`
832×	`rational.json-5`
830×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	110	48
2	372	48
3	1467	48
4	6572	48

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

Outputs

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

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

simplify214.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

982×	`rational.json-simplify-1`
938×	`rational.json-simplify-49`
762×	`rational.json-simplify-2`
748×	`rational.json-simplify-54`
698×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	2022
1	221	1926
2	727	1926
3	2785	1926
4	6521	1926

Stop Event

1×	node limit

Counts

72 → 74

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 1 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 2 (-.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -1)
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -2)
(-.f64 -2 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -2) 3)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 -1 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 2 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -2)
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1)
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -3)
(-.f64 -2 (-.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(-.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -2) 2)
(-.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) 2)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(neg.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
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1
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(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))))
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(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))))
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(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
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(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 2 (-.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 -2 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -2) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -1 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 2 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -2)
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1)
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -3)
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -2 (-.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -2) 2)
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) 2)
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(pow.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

localize5.0ms (0%)

Compiler: Compiled 12 to 12 computations (0% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	0.2b	(+.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
✓	1.6b	(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)) 1)
	2.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 68 to 43 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite281.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`rational.json-simplify-1`
928×	`rational.json-5`
926×	`exponential.json-3`
926×	`rational.json-1`
926×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	72
1	146	66
2	485	48
3	1798	48
4	7473	48

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)) 1)
(+.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))

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

simplify212.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1612×	`rational.json-simplify-111`
1014×	`rational.json-simplify-49`
820×	`rational.json-simplify-2`
730×	`rational.json-simplify-54`
716×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2108
1	247	2108
2	752	2108
3	2354	2104
4	5789	2104

Stop Event

1×	node limit

Counts

76 → 82

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5)))) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 -2 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -2)
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 0 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -2 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))
(-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(-.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 2 (+.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)))
(-.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)
(-.f64 (-.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2) -3)
(-.f64 (-.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 3)
(-.f64 (-.f64 -3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -2)
(*.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(*.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1))
(.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(pow.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(neg.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
-1
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 x -1/2) -1)
(+.f64 -1 (*.f64 x -1/2))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(+.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)) -1)
(+.f64 -1 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)))
(+.f64 (.f64 x -1/2) (+.f64 -1 (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5)))) 1)
(+.f64 (+.f64 (.f64 x -1/2) (+.f64 (.f64 (pow.f64 x 5) -1/240) (*.f64 (pow.f64 x 3) -1/24))) -1)
(+.f64 -1 (+.f64 (.f64 (pow.f64 x 3) -1/24) (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 5) -1/240))))
(+.f64 -1 (+.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)) (*.f64 (pow.f64 x 5) -1/240)))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) 1)
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) 1)
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) 1)
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) 1)
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) 1)
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) 1)
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) 1)
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) 1)
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 -2 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -2 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 2 (+.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2) -3)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 3)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 -3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -2)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(pow.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
✓	0.3b	(pow.f64 (-.f64 1 (cos.f64 x)) 2)
	2.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 53 to 34 computations (35.8% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite318.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`rational.json-simplify-44`
900×	`rational.json-5`
898×	`exponential.json-3`
898×	`rational.json-1`
898×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	105
1	114	105
2	384	105
3	1575	105
4	7212	105

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (/.f64 1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))))))

simplify217.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

924×	`rational.json-simplify-47`
822×	`rational.json-simplify-2`
622×	`rational.json-simplify-111`
558×	`rational.json-simplify-1`
530×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	1916
1	249	1916
2	460	1916
3	1372	1916
4	4427	1916
5	7083	1916

Stop Event

1×	node limit

Counts

64 → 76

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(*.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 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2))
(.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) 2) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(-.f64 0 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(pow.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(neg.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))
(.f64 1 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 1)
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (/.f64 1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) 1))
(.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))
(.f64 (.f64 (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))))
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 1)
(neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))

Outputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 6)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -17/120960 (pow.f64 x 10)) (.f64 1/320 (pow.f64 x 8)))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 1/320 (pow.f64 x 8)) (.f64 -17/120960 (pow.f64 x 10))) (.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/320 (pow.f64 x 8))) (.f64 -17/120960 (pow.f64 x 10))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (.f64 -17/120960 (pow.f64 x 10)))))
(*.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 (pow.f64 x 4) -1/24))
(+.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 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 6) 1/720)))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24)) (*.f64 (pow.f64 x 6) 1/720))
(+.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 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320))))
(+.f64 (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24)))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24)) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320)))
(+.f64 (.f64 (pow.f64 x 6) 1/720) (+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 8) -1/40320))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 x 1/2)))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(-.f64 0 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) 2) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 0 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 0 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(pow.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(neg.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 0)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(+.f64 0 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 0)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(-.f64 0 (neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 1 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (/.f64 1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) 1))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (.f64 (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
✓	0.3b	(*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
✓	1.6b	(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) 1)
	2.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 158 to 97 computations (38.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1036×	`rational.json-5`
1034×	`exponential.json-3`
1034×	`rational.json-1`
1034×	`rational.json-2`
1034×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	259
1	162	119
2	539	107
3	1997	107

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

(-.f64 (-.f64 0 (*.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) 1)

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1658×	`rational.json-simplify-47`
1454×	`rational.json-simplify-49`
1034×	`rational.json-simplify-50`
922×	`rational.json-simplify-54`
916×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	5683
1	426	5683
2	869	5643
3	3085	5639

Stop Event

1×	node limit

Counts

119 → 144

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) x))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) x)))
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5)))) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 0 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(+.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 0)
(-.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 0)
(/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
(/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(pow.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
(fabs.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(fabs.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(fabs.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(fabs.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(fabs.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(fabs.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(fabs.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(fabs.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (*.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(fabs.f64 (*.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(fabs.f64 (*.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(fabs.f64 (*.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (*.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2) (*.f64 (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 2))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -2) (*.f64 (fabs.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 2))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(+.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(+.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(+.f64 (-.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
(-.f64 0 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)
(-.f64 -2 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (-.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1) -1)
(-.f64 (-.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) -1)
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(pow.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(neg.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 17/40320 (pow.f64 x 7))) (.f64 1/240 (pow.f64 x 5))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 x 1))
(+.f64 x (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (+.f64 x 1) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) x)))
(+.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 x 1)) (.f64 (pow.f64 x 3) 1/12))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (+.f64 x 1) (.f64 (pow.f64 x 3) 1/12)))
(+.f64 x (+.f64 (+.f64 1 (.f64 1/4 (pow.f64 x 2))) (.f64 (pow.f64 x 3) 1/12)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/12) (+.f64 1 (.f64 1/4 (pow.f64 x 2)))))
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1) 2)
(pow.f64 (+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1) 2)
(pow.f64 (+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1) 2)
(pow.f64 (+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1) 2)
(pow.f64 (+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1) 2)
(pow.f64 (+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1) 2)
(pow.f64 (+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1) 2)
(pow.f64 (+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2)
(pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) 2)
(pow.f64 (+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1) 2)
(pow.f64 (+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))) 2)
-1
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 x -1/2) -1)
(+.f64 -1 (*.f64 x -1/2))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(+.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)) -1)
(+.f64 -1 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5)))) 1)
(+.f64 (+.f64 (.f64 x -1/2) (+.f64 (.f64 (pow.f64 x 5) -1/240) (*.f64 (pow.f64 x 3) -1/24))) -1)
(+.f64 -1 (+.f64 (.f64 (pow.f64 x 3) -1/24) (+.f64 (.f64 x -1/2) (*.f64 (pow.f64 x 5) -1/240))))
(+.f64 -1 (+.f64 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/24)) (*.f64 (pow.f64 x 5) -1/240)))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))
(+.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(+.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
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(fabs.f64 (/.f64 (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(+.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 0 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -2 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1) -1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) -1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(pow.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

eval638.0ms (2.8%)

Compiler: Compiled 17261 to 11767 computations (31.8% saved)

prune410.0ms (1.8%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	611	15	626
Fresh	8	5	13
Picked	1	0	1
Done	3	4	7
Total	623	24	647

Error

0.3b

Counts

647 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.8b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	30.6b	(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (pow.f64 (-.f64 1 (cos.f64 x)) 4)) (sin.f64 x))
✓	30.5b	(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
	30.7b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))) (sin.f64 x))
	30.6b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
▶	30.5b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
	28.9b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	28.9b	(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -2)
▶	60.6b	(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1)) 1)
	60.1b	(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (*.f64 1/2 x)) 1)) 1)
	29.9b	(-.f64 (-.f64 0 (*.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2))) 1)
	28.9b	(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
▶	28.8b	(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -1)
▶	29.6b	(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) -1)
	33.1b	(+.f64 (+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
	60.0b	(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
	28.9b	(+.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) -1)
	33.0b	(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
✓	33.1b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
▶	61.3b	(+.f64 1 -1)
	30.5b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
	30.6b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
	30.5b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
✓	32.7b	(*.f64 1/2 x)

Compiler

Compiled 1003 to 705 computations (29.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	0.2b	(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)
✓	1.7b	(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -1)
	2.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite122.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational.json-simplify-2`
1082×	`rational.json-simplify-44`
852×	`rational.json-simplify-1`
832×	`rational.json-5`
830×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	109	48
2	372	48
3	1473	48
4	6582	48

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -1)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))))

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

simplify187.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1356×	`rational.json-simplify-111`
1008×	`rational.json-simplify-1`
950×	`rational.json-simplify-49`
764×	`rational.json-simplify-2`
750×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1821
1	195	1821
2	704	1821
3	2453	1821
4	6056	1821

Stop Event

1×	node limit

Counts

67 → 69

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
-1
(-.f64 (*.f64 1/2 x) 1)
(-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1)
(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) 1)
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 1 (-.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(-.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 0)
(-.f64 0 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 2 (-.f64 (-.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) -1)
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) 3)
(-.f64 -2 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (+.f64 -1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2)) -2)
(-.f64 (-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 2) -2)
(*.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))
(*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)
(*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))
(.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))) (/.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))))
(.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))
(pow.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)
(neg.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
-1
(-.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) -1)
(-.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1)
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) -1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) -1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) -1))
(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) -1)
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (*.f64 1/240 (pow.f64 x 5)) -1))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2 x) -1) (*.f64 1/240 (pow.f64 x 5))))
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(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 1 (-.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 0)
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 0 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 2 (-.f64 (-.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) -1)
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2) 3)
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 -2 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 -1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -2)) -2)
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 2) -2)
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))) (/.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(pow.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) 1)
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (-.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

localize6.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize139.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
✓	0.0b	(+.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1)
	0.1b	(*.f64 1/24 (pow.f64 x 3))
✓	2.8b	(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1)) 1)

Compiler

Compiled 84 to 70 computations (16.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite143.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`rational.json-simplify-47`
774×	`rational.json-simplify-49`
752×	`rational.json-simplify-1`
618×	`rational.json-5`
616×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	111
1	159	105
2	466	87
3	1498	87
4	5517	87

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs

(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) 1)) 1)

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (-.f64 (*.f64 1/2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (-.f64 (*.f64 1/2 x) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (-.f64 -2 (*.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 -2 (*.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -3 (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 -1 (*.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (-.f64 -1 (*.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 1/2 x)) (-.f64 -1 (*.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 1/24 (pow.f64 x 3))) (-.f64 -1 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -3 (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 1/24 (pow.f64 x 3))) (-.f64 -1 (-.f64 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simplify320.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

826×	`rational.json-simplify-1`
770×	`exponential.json-simplify-26`
730×	`rational.json-simplify-47`
724×	`rational.json-simplify-111`
724×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	5398
1	502	5194
2	1356	5050
3	4529	5034

Stop Event

1×	node limit

Counts

154 → 160

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(*.f64 -1/24 (pow.f64 x 3))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(*.f64 -1/24 (pow.f64 x 3))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 1)
-2
(-.f64 (*.f64 -1/2 x) 2)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 2)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 2)
(*.f64 -1/24 (pow.f64 x 3))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 2)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 2)
(*.f64 -1/24 (pow.f64 x 3))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 2)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 -1/2 x)) 2)
(+.f64 0 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 -2 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 0)
(+.f64 1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) -1)))
(+.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) 1)) -1)
(+.f64 -1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) 1)))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)) -2)
(+.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) -1)) 1)
(.f64 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) 1)
(.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (-.f64 (neg.f64 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(.f64 -1 (-.f64 (neg.f64 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))
(.f64 (-.f64 (neg.f64 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))) -1)
(.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (/.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))))
(.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) 1))
(.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (/.f64 -1 (-.f64 (neg.f64 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))) (-.f64 (neg.f64 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))) (/.f64 (/.f64 -1 (-.f64 (neg.f64 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))) (.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))) (.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))))))
(/.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) 1)
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(-.f64 (-.f64 (+.f64 -1 (neg.f64 (.f64 1/24 (pow.f64 x 3)))) 0) (.f64 1/2 x))
(-.f64 (-.f64 (+.f64 -1 (neg.f64 (.f64 1/2 x))) 0) (.f64 1/24 (pow.f64 x 3)))
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(.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))) 1)
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(.f64 (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))) (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))))
(.f64 (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))) (/.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) 1)))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))))
(.f64 (.f64 (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))))))
(/.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) 1)) -1)
(pow.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 1)
(neg.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) 1)))
(neg.f64 (+.f64 (-.f64 (.f64 1/2 x) -2) (+.f64 (.f64 1/24 (pow.f64 x 3)) -1)))
(neg.f64 (+.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) -2) (+.f64 (.f64 1/2 x) -1)))
(+.f64 0 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 0)
(+.f64 1 (-.f64 -3 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) -1)
(+.f64 -1 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 -1 (.f64 1/2 x)) (-.f64 -1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 -1 (.f64 1/24 (pow.f64 x 3))) (-.f64 -1 (.f64 1/2 x)))
(+.f64 (-.f64 -3 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1)
(+.f64 (-.f64 1 (.f64 1/24 (pow.f64 x 3))) (-.f64 -1 (-.f64 (.f64 1/2 x) -2)))
(+.f64 (-.f64 -1 (-.f64 (.f64 1/2 x) -2)) (-.f64 1 (.f64 1/24 (pow.f64 x 3))))
(.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))) 1)
(.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3)))))
(.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (/.f64 (.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (*.f64 1/2 x) -2)) -1)
(.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3)))) 1))
(.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (/.f64 (/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (/.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2))))
(.f64 (neg.f64 (/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (-.f64 -1 (-.f64 -3 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))))
(.f64 (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(.f64 (.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (/.f64 (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))))
(.f64 (.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (/.f64 (.f64 (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) 1) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))))
(.f64 (.f64 (.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))))
(/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)) -1)
(pow.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 1)
(neg.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)))
(neg.f64 (+.f64 (.f64 1/2 x) (-.f64 (.f64 1/24 (pow.f64 x 3)) -2)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
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(-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) 1)))
(+.f64 (-.f64 (neg.f64 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) -1)
(-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(neg.f64 (+.f64 (-.f64 (.f64 1/2 x) -2) (+.f64 (.f64 1/24 (pow.f64 x 3)) -1)))
(+.f64 (-.f64 (neg.f64 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) -1)
(-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(neg.f64 (+.f64 (-.f64 (.f64 1/24 (pow.f64 x 3)) -2) (+.f64 (.f64 1/2 x) -1)))
(+.f64 (-.f64 (neg.f64 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) -1)
(-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 0 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 0)
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 1 (-.f64 -3 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) -1)
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (-.f64 -1 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 -1 (.f64 1/2 x)) (-.f64 -1 (.f64 1/24 (pow.f64 x 3))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 -1 (.f64 1/24 (pow.f64 x 3))) (-.f64 -1 (.f64 1/2 x)))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 -3 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1)
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 1 (.f64 1/24 (pow.f64 x 3))) (-.f64 -1 (-.f64 (.f64 1/2 x) -2)))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (-.f64 -1 (-.f64 (.f64 1/2 x) -2)) (-.f64 1 (.f64 1/24 (pow.f64 x 3))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))) 1)
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (/.f64 (.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (*.f64 1/2 x) -2)) -1)
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3)))) 1))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (/.f64 (/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (/.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2))))
(.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (/.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)))))
(.f64 (.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))) (/.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2))))
(.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) (/.f64 -1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)))))
(.f64 (neg.f64 (/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (-.f64 -1 (-.f64 -3 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (/.f64 (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (*.f64 1/24 (pow.f64 x 3))))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (/.f64 (.f64 (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) 1) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(.f64 (.f64 (.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 1)
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)) -1)
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(pow.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 1)
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 1/2 x) (-.f64 (.f64 1/24 (pow.f64 x 3)) -2)))
(-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3)))
(-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 x) (sin.f64 x))
✓	0.2b	(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
✓	1.6b	(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) -1)
✓	2.9b	(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))

Compiler

Compiled 50 to 22 computations (56% saved)

series2.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite147.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`rational.json-simplify-1`
960×	`rational.json-5`
958×	`exponential.json-3`
958×	`rational.json-1`
958×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	116
1	120	104
2	424	104
3	1724	104
4	7731	104

Stop Event

1×	node limit

Counts

4 → 79

Calls

Call 1

Inputs
(-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) -1)
(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(/.f64 (cos.f64 x) (sin.f64 x))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (/.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) (/.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) (.f64 (/.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))) (/.f64 (/.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) (*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (/.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)))))

simplify141.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1288×	`rational.json-simplify-49`
1136×	`rational.json-simplify-2`
1114×	`rational.json-simplify-54`
916×	`rational.json-simplify-50`
816×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	3347
1	361	3347
2	1087	3347
3	3532	3347

Stop Event

1×	node limit

Counts

119 → 121

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) 1)
(-.f64 (+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (/.f64 1 x))) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (/.f64 1 x)))
(+.f64 (.f64 -2/945 (pow.f64 x 5)) (+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) 2))
(+.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) 0)
(+.f64 0 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) 1)
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(+.f64 (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) 2) -1)
(*.f64 1 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) 1)
(*.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) -1)
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(.f64 (.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))) (*.f64 (/.f64 1 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))) 1))
(.f64 (/.f64 1 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))) (.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))))
(.f64 (.f64 (.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))) (.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (/.f64 1 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))) (*.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))))
(/.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) 1)
(/.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x))))))
(/.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))) -1)
(pow.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) 1)
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))))
(-.f64 1 (-.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(-.f64 1 (+.f64 1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 -1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 1 (sin.f64 x)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) 1)
(-.f64 0 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 0 (+.f64 -1 (+.f64 1 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))))
(-.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) 0)
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) -1) (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -2)))
(-.f64 (+.f64 -1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) -1)
(-.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -2))
(-.f64 (-.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) 2) -2)
(-.f64 (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) 2) 2)
(-.f64 (-.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))
(*.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) 1)
(*.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(.f64 (.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 (.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (/.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) 1))
(.f64 (/.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(.f64 (.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (/.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))))
(/.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) 1)
(/.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(pow.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) 1)
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(-.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 0)
(*.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))
(*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 1)
(*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (/.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)))
(.f64 (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) (/.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)))
(.f64 (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) (*.f64 (/.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) 1))
(.f64 (/.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)))
(.f64 (.f64 (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))) (/.f64 (/.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) (*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))))
(/.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 1)
(/.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (/.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)))
(pow.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 1)
(+.f64 1 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))
(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0)
(+.f64 -1 (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) 1)
(+.f64 0 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (+.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) -1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 0)
(-.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1) -1)
(*.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) 1))
(.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
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(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5)))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (*.f64 -1/3 x) (/.f64 1 x)) 1)
(+.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/3)) -1)
(+.f64 (*.f64 x -1/3) (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/3) -1))
(-.f64 (+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (/.f64 1 x))) 1)
(+.f64 (+.f64 (.f64 x -1/3) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) -1/45))) -1)
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/3)) (.f64 (pow.f64 x 3) -1/45)) -1)
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/3)) (+.f64 (.f64 (pow.f64 x 3) -1/45) -1))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x -1/3))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (/.f64 1 x)))
(+.f64 (.f64 x -1/3) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) -1/45)))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x -1/3)) (.f64 (pow.f64 x 3) -1/45))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/3) (.f64 (pow.f64 x 3) -1/45)))
(+.f64 (.f64 -2/945 (pow.f64 x 5)) (+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
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(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) 1))
(/.f64 (cos.f64 x) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (cos.f64 x) (sin.f64 x))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1)
(/.f64 (cos.f64 x) (sin.f64 x))

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
	0.3b	(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
	0.3b	(pow.f64 (-.f64 1 (cos.f64 x)) 2)
	2.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 120 to 77 computations (35.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite171.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`rational.json-5`
876×	`exponential.json-3`
876×	`rational.json-1`
876×	`rational.json-2`
876×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	124	39
2	414	39
3	1580	39
4	7724	39

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)))))

simplify142.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational.json-simplify-49`
886×	`rational.json-simplify-47`
886×	`rational.json-simplify-2`
850×	`rational.json-simplify-111`
794×	`rational.json-simplify-104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	482
1	73	482
2	146	482
3	323	482
4	1075	482
5	2277	482
6	5560	482

Stop Event

1×	node limit

Counts

18 → 17

Calls

Call 1

Inputs
(*.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 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)
(+.f64 0 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(pow.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)

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

eval851.0ms (3.7%)

Compiler: Compiled 17500 to 12494 computations (28.6% saved)

prune146.0ms (0.6%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	606	13	619
Fresh	2	13	15
Picked	1	0	1
Done	1	7	8
Total	610	33	643

Error

0.2b

Counts

643 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.8b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	30.6b	(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (pow.f64 (-.f64 1 (cos.f64 x)) 4)) (sin.f64 x))
✓	30.5b	(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
	30.7b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))) (sin.f64 x))
	30.5b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
	30.5b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
	28.9b	(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
	28.9b	(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -2)
	29.0b	(-.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -2))
	60.1b	(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
	60.6b	(-.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 2) -3)) 1)
	60.1b	(-.f64 (-.f64 0 (+.f64 (-.f64 (*.f64 x -1/2) 2) 1)) 1)
	29.9b	(-.f64 (-.f64 0 (*.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2))) 1)
	28.9b	(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
✓	28.8b	(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -1)
	29.0b	(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))
	28.9b	(-.f64 (.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))))) -1)
	28.9b	(-.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))) -1)
	56.9b	(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)
	56.3b	(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1)
✓	29.6b	(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) -1)
	30.0b	(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) -1)) -1)
	33.1b	(+.f64 (+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
	60.0b	(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
	60.6b	(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)) -2)
	28.9b	(+.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) -1)
	33.0b	(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
✓	33.1b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	61.3b	(+.f64 1 -1)
	30.5b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
	30.6b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
	30.5b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
✓	32.7b	(*.f64 1/2 x)

Compiler

Compiled 728 to 515 computations (29.3% saved)

regimes209.0ms (0.9%)

Counts

54 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 1 -1)
(-.f64 (-.f64 0 -1) 1)
(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 0 (-.f64 (*.f64 -1/2 x) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (*.f64 1/2 x)) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 (*.f64 x -1/2) 2) 1)) 1)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1)
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)) -2)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1)) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 2) -3)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -1)
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -2)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)) 1)
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) -1)
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))
(-.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -2))
(-.f64 (-.f64 0 (-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))) 1)
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (pow.f64 (-.f64 1 (cos.f64 x)) 4)) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
(-.f64 (-.f64 0 (*.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (pow.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 x)) 1)) 2))) 1)
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(+.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) -1)
(-.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))) -1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) 1)
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) -1)) -1)
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 2) (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2))) (sin.f64 x))
(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (sin.f64 x))
(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(-.f64 (.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (*.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1))))) -1)

Outputs

(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

(+.f64 (*.f64 1/2 x) (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) (*.f64 17/40320 (pow.f64 x 7))))

(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)

Calls

2 calls:

121.0ms	x
51.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 1209 to 771 computations (36.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.005498882223827367	0.024476302614188424
0.0ms	-0.005121584792233672	-9.057714812064917e-7

Compiler

Compiled 12 to 9 computations (25% saved)

regimes202.0ms (0.9%)

Counts

29 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 1 -1)
(-.f64 (-.f64 0 -1) 1)
(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 0 (-.f64 (*.f64 -1/2 x) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (*.f64 1/2 x)) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 (*.f64 x -1/2) 2) 1)) 1)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1)
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)) -2)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1)) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 2) -3)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -1)
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -2)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)) 1)
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)) -1)
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1))
(-.f64 (-.f64 (/.f64 1 (sin.f64 x)) 2) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -2))
(-.f64 (-.f64 0 (-.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1) (/.f64 1 (sin.f64 x)))) 1)

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)

Calls

2 calls:

147.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
46.0ms	x

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 329 to 237 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.005498882223827367	0.024476302614188424
0.0ms	-0.005121584792233672	-9.057714812064917e-7

Compiler

Compiled 12 to 9 computations (25% saved)

regimes73.0ms (0.3%)

Counts

22 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 1 -1)
(-.f64 (-.f64 0 -1) 1)
(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 0 (-.f64 (*.f64 -1/2 x) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (*.f64 1/2 x)) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 (*.f64 x -1/2) 2) 1)) 1)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1)
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)) -2)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1)) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 2) -3)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1)
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) -1)
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) -2)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 1)

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)

Calls

2 calls:

40.0ms	x
26.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 231 to 180 computations (22.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0003276198475275136	0.005498882223827367
0.0ms	-0.005121584792233672	-9.057714812064917e-7

Compiler

Compiled 12 to 9 computations (25% saved)

regimes91.0ms (0.4%)

Counts

16 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 1 -1)
(-.f64 (-.f64 0 -1) 1)
(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 0 (-.f64 (*.f64 -1/2 x) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (*.f64 1/2 x)) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 (*.f64 x -1/2) 2) 1)) 1)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1)
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)) -2)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1)) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 2) -3)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Calls

2 calls:

61.0ms	x
25.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.6b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 163 to 136 computations (16.6% saved)

bsearch57.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.0006552396716198133	0.01099765360061483
34.0ms	-834218.3573202393	-1.811492900956503e-6

Results

49.0ms

272×

body

256

valid

Compiler

Compiled 352 to 281 computations (20.2% saved)

regimes43.0ms (0.2%)

Counts

15 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 1 -1)
(-.f64 (-.f64 0 -1) 1)
(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 0 (-.f64 (*.f64 -1/2 x) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (*.f64 1/2 x)) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 (*.f64 x -1/2) 2) 1)) 1)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1)
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (-.f64 (.f64 1/2 x) -2)) -2)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))) 1)) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 (-.f64 -2 (.f64 1/2 x)) (.f64 1/24 (pow.f64 x 3))) 2) -3)) 1)

Outputs
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1)

Calls

1 calls:

36.0ms

Results

Error	Segments	Branch
26.9b	3	`x`

Compiler

Compiled 148 to 126 computations (14.9% saved)

bsearch58.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	0.01099765360061483	1487.7328188394313
33.0ms	-834218.3573202393	-1.811492900956503e-6

Results

48.0ms

304×

body

256

valid

Compiler

Compiled 487 to 408 computations (16.2% saved)

regimes31.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 1 -1)
(-.f64 (-.f64 0 -1) 1)
(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 0 (-.f64 (*.f64 -1/2 x) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (*.f64 1/2 x)) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 (*.f64 x -1/2) 2) 1)) 1)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)

Outputs
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
27.5b	3	`x`

Compiler

Compiled 87 to 74 computations (14.9% saved)

bsearch59.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.01099765360061483	1487.7328188394313
32.0ms	-834218.3573202393	-1.811492900956503e-6

Results

48.0ms

304×

body

256

valid

Compiler

Compiled 449 to 370 computations (17.6% saved)

regimes10.0ms (0%)

Accuracy

Total -29.4b remaining (-89.9%)

Threshold costs -29.4b (-89.9%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 1 -1)
(-.f64 (-.f64 0 -1) 1)
(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 (*.f64 1/2 x) 1) -1)
(-.f64 (-.f64 0 (-.f64 (*.f64 -1/2 x) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (*.f64 1/2 x)) 1)) 1)
(-.f64 (-.f64 0 (+.f64 (-.f64 (*.f64 x -1/2) 2) 1)) 1)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))

Outputs
(*.f64 1/2 x)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
32.7b	1	`x`

Compiler

Compiled 77 to 66 computations (14.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	771

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 5764607523034235/576460752303423488) (+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7)))) (+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 5764607523034235/576460752303423488) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/2305843009213693952) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))
(if (<=.f64 x -5188146770730811/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 5072854620270127/1152921504606846976) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -3039929748475085/1125899906842624) (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1) (if (<=.f64 x 11/4) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1)))
(if (<=.f64 x -4165829655317709/2251799813685248) (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1) (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)))
(*.f64 1/2 x)

Outputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 5764607523034235/576460752303423488) (+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))) (.f64 17/40320 (pow.f64 x 7)))) (+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 5764607523034235/576460752303423488) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/2305843009213693952) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (+.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))
(if (<=.f64 x -5188146770730811/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 5072854620270127/1152921504606846976) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -3039929748475085/1125899906842624) (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1) (if (<=.f64 x 11/4) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (-.f64 (/.f64 1 x) 1)) -1)))
(if (<=.f64 x -4165829655317709/2251799813685248) (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1) (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) -1)))
(*.f64 1/2 x)

Compiler

Compiled 278 to 198 computations (28.8% saved)

soundness231.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational.json-simplify-50`
1202×	`rational.json-simplify-54`
1116×	`rational.json-simplify-58`
1106×	`rational.json-simplify-43`
728×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	896
1	195	820
2	454	820
3	2236	820
4	5767	820

Stop Event

1×	node limit

Compiler

Compiled 106 to 86 computations (18.9% saved)

end146.0ms (0.6%)

Compiler: Compiled 272 to 184 computations (32.4% saved)