Details

analyze277.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.9s (34.6%)

Results

2.0s	2047×	body	2048	valid
986.0ms	1557×	body	512	valid
513.0ms	3369×	body	256	valid
353.0ms	1179×	body	1024	valid
58.0ms	104×	body	4096	valid

Bogosity

preprocess12.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-22`
2×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	13	23
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-22`
2×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	13	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

30.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	2.5b	(-.f64 1 (cos.f64 x))
✓	14.4b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

3 → 20

Calls

9 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`rational_best-1`
1212×	`rational_best-2`
1210×	`rational_best-4`
1210×	`rational_best-3`
1208×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	59	39
2	112	39
3	230	39
4	587	39
5	1357	39
6	4592	39

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

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

Outputs
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Outputs

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

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1396×	`rational_best-simplify-44`
1322×	`rational_best-simplify-47`
836×	`rational_best-simplify-52`
782×	`rational_best-simplify-45`
746×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	321	4471
1	573	4265
2	1430	4161
3	4856	4041

Stop Event

1×	node limit

Counts

169 → 224

Calls

Call 1

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

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

eval56.0ms (0.5%)

Compiler: Compiled 4090 to 2178 computations (46.7% saved)

prune43.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	209	15	224
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	209	16	225

Error

0.5b

Counts

225 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶	46.1b	(/.f64 (-.f64 1 1) (*.f64 x x))
	31.0b	(/.f64 (+.f64 (/.f64 (cos.f64 x) -2) (-.f64 (/.f64 (cos.f64 x) -2) -1)) (*.f64 x x))
▶	30.6b	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	30.8b	(+.f64 (/.f64 (-.f64 1 (.f64 (cos.f64 x) 1/2)) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (.f64 x x) -2)))
	30.9b	(+.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) 2))
▶	30.5b	(+.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) (.f64 (/.f64 -1 (.f64 x x)) (+.f64 -1 (*.f64 2 (cos.f64 x))))))
	30.7b	(+.f64 (/.f64 -1 (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) (+.f64 (neg.f64 (cos.f64 x)) 2)))
	30.7b	(+.f64 (+.f64 (/.f64 (.f64 (cos.f64 x) 2) (.f64 x x)) (/.f64 -1 (.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2)))
▶	31.1b	(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 3) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 2))
	31.1b	(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (+.f64 (/.f64 -1 (.f64 x x)) (.f64 2 (/.f64 (cos.f64 x) (.f64 x x))))))
▶	31.3b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
	31.5b	(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
	31.6b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
	31.0b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
	31.1b	1/2

Compiler

Compiled 537 to 352 computations (34.5% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (*.f64 x x))
✓	2.5b	(+.f64 (cos.f64 x) -1)
✓	14.4b	(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
✓	15.7b	(+.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) (.f64 (/.f64 -1 (.f64 x x)) (+.f64 -1 (*.f64 2 (cos.f64 x))))))

Compiler

Compiled 102 to 53 computations (48% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`rational_best-simplify-2`
1250×	`rational_best-2`
1250×	`rational_best-1`
1248×	`rational_best-4`
1248×	`rational_best-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	128
1	121	128
2	196	128
3	329	122
4	733	104
5	1695	70
6	5087	70

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

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

simplify118.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1242×	`rational_best-simplify-2`
1000×	`rational_best-simplify-43`
978×	`rational_best-simplify-35`
860×	`rational_best-simplify-44`
794×	`rational_best-simplify-88`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	235	6134
1	441	5462
2	959	3858
3	2565	3592
4	5233	3574

Stop Event

1×	node limit

Counts

156 → 169

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.0b	(/.f64 (-.f64 1 1) (*.f64 x x))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational_best-1`
1462×	`rational_best-2`
1460×	`rational_best-3`
1064×	`rational_best-4`
998×	`exponential-1`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	45	13
2	65	13
3	86	13
4	114	13
5	170	13
6	302	1
7	1269	1
8	2021	1
9	3448	1
10	5551	1
11	7448	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0

Outputs
0
0
0
0
0
0
0
0
0
0
0
0
0

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
	0.5b	(/.f64 1 (*.f64 x x))
✓	0.5b	(/.f64 (cos.f64 x) (*.f64 x x))
✓	15.9b	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))

Compiler

Compiled 31 to 10 computations (67.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`rational_best-2`
1196×	`rational_best-1`
1194×	`rational_best-4`
1194×	`rational_best-3`
1194×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	64	40
2	112	40
3	224	40
4	571	40
5	1311	40
6	4642	40

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 (cos.f64 x) (/.f64 2 (*.f64 x x))) (/.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (neg.f64 (*.f64 x x))) 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simplify170.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

936×	`rational_best-simplify-46`
844×	`rational_best-simplify-1`
786×	`rational_best-simplify-2`
636×	`rational_best-simplify-48`
588×	`rational_best-simplify-45`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	376	8662
1	669	8306
2	1378	7678
3	3344	7540
4	6914	7268

Stop Event

1×	node limit

Counts

216 → 346

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/720 (pow.f64 x 4))
✓	0.4b	(*.f64 -1/24 (pow.f64 x 2))
✓	13.2b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))

Compiler

Compiled 43 to 35 computations (18.6% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite15.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

30×	`rational_best-simplify-1`
26×	`rational_best-simplify-2`
22×	`rational_best-4`
22×	`rational_best-2`
22×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	92	63
2	132	63
3	144	63
4	145	63

Stop Event

1×

saturated

Counts

3 → 15

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)))))

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`rational_best-simplify-1`
16×	`rational_best-simplify-7`
16×	`rational_best-simplify-43`
10×	`rational_best-simplify-2`
8×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	645
1	43	645
2	65	645
3	76	645
4	78	645

Stop Event

1×

saturated

Counts

27 → 22

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 0)
(.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)
(.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)
(pow.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(/.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 1/720 (pow.f64 x 4)))
(-.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(/.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(+.f64 (cos.f64 x) -1)
	2.5b	(-.f64 1 (cos.f64 x))
	14.4b	(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
	14.4b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 76 to 38 computations (50% saved)

eval408.0ms (3.6%)

Compiler: Compiled 22089 to 11708 computations (47% saved)

prune309.0ms (2.7%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	868	11	879
Fresh	3	7	10
Picked	0	1	1
Done	2	3	5
Total	873	22	895

Error

0.4b

Counts

895 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
✓	30.9b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶	31.0b	(/.f64 (+.f64 (/.f64 (cos.f64 x) -2) (-.f64 (/.f64 (cos.f64 x) -2) -1)) (*.f64 x x))
	47.0b	(-.f64 (/.f64 1 (/.f64 (.f64 (.f64 x x) (.f64 x (/.f64 x (.f64 x x)))) 1)) (/.f64 (cos.f64 x) (*.f64 x x)))
	30.6b	(-.f64 (/.f64 1 (.f64 (.f64 x x) -2)) (-.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 x (.f64 x 2))) (/.f64 1 (.f64 x x))))
✓	30.6b	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	30.3b	(-.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x)))
	30.4b	(-.f64 (/.f64 -1 (.f64 x x)) (-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) (/.f64 1 (*.f64 x x))))
	30.9b	(+.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) 2))
	30.7b	(+.f64 (/.f64 -1 (.f64 x x)) (+.f64 (.f64 (cos.f64 x) (/.f64 2 (.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
▶	30.7b	(+.f64 (/.f64 -1 (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) (+.f64 (neg.f64 (cos.f64 x)) 2)))
	31.4b	(+.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
✓	31.1b	(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 3) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 2))
	31.2b	(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 3) (.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 1 (*.f64 x x))) 2))
	31.2b	(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 3) (.f64 (-.f64 (/.f64 -1 (.f64 (.f64 x x) -2)) (-.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 (.f64 x x) -2)) (/.f64 -1 (*.f64 x x)))) 2))
▶	31.3b	(+.f64 (.f64 (+.f64 (/.f64 (-.f64 1 (.f64 (cos.f64 x) 1/2)) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))) 3) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2))
	31.1b	(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (+.f64 (/.f64 -1 (.f64 x x)) (.f64 2 (/.f64 (cos.f64 x) (.f64 x x))))))
✓	31.3b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
▶	31.6b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
	31.0b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
	31.1b	1/2
	45.7b	0

Compiler

Compiled 782 to 491 computations (37.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	0.1b	(.f64 (/.f64 1 (.f64 x x)) (cos.f64 x))
	0.5b	(/.f64 1 (*.f64 x x))
✓	15.9b	(-.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x)))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1684×	`rational_best-1`
984×	`rational_best-simplify-2`
908×	`rational_best-2`
908×	`rational_best-3`
898×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	64
1	63	64
2	97	52
3	164	52
4	325	52
5	630	52
6	1384	52
7	4294	52
8	7765	52

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify215.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1888×	`rational_best-simplify-2`
1186×	`rational_best-simplify-47`
1026×	`rational_best-simplify-44`
856×	`rational_best-simplify-1`
824×	`rational_best-simplify-57`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1781
1	183	1781
2	307	1781
3	452	1565
4	1081	1565
5	2294	1565
6	3542	1565
7	4629	1565
8	5051	1565
9	5623	1565
10	6375	1565
11	7491	1565

Stop Event

1×	node limit

Counts

59 → 68

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

localize77.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 (.f64 x x)) (+.f64 (neg.f64 (cos.f64 x)) 2))
✓	0.5b	(/.f64 -1 (*.f64 x x))
	0.5b	(/.f64 1 (*.f64 x x))
✓	15.8b	(+.f64 (/.f64 -1 (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) (+.f64 (neg.f64 (cos.f64 x)) 2)))

Compiler

Compiled 56 to 26 computations (53.6% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`rational_best-1`
1052×	`rational_best-2`
1050×	`rational_best-3`
1048×	`rational_best-4`
1034×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	97
1	98	97
2	140	97
3	197	97
4	351	97
5	665	97
6	1511	97
7	4933	97

Stop Event

1×	node limit

Counts

3 → 16

Calls

Call 1

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

Outputs

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

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

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

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

102×	`rational_best-simplify-1`
62×	`rational_best-simplify-43`
32×	`rational_best-simplify-2`
14×	`rational_best-simplify-7`
12×	`rational_best-simplify-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	1258
1	99	1258
2	137	1258
3	168	1258
4	190	1258
5	193	1258
6	196	1258
7	201	1258
8	201	1258
9	203	1258
10	205	1258

Stop Event

1×

saturated

Counts

52 → 34

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	0.1b	(-.f64 (/.f64 (cos.f64 x) -2) -1)
✓	2.6b	(+.f64 (/.f64 (cos.f64 x) -2) (-.f64 (/.f64 (cos.f64 x) -2) -1))
✓	14.4b	(/.f64 (+.f64 (/.f64 (cos.f64 x) -2) (-.f64 (/.f64 (cos.f64 x) -2) -1)) (*.f64 x x))

Compiler

Compiled 45 to 26 computations (42.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`rational_best-2`
1350×	`rational_best-1`
1346×	`rational_best-3`
1344×	`rational_best-4`
1336×	`exponential-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	95
1	80	95
2	160	95
3	324	63
4	857	59
5	2401	51
6	5477	51

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

Outputs

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

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

simplify142.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1398×	`rational_best-simplify-1`
878×	`rational_best-simplify-46`
856×	`rational_best-simplify-35`
714×	`rational_best-simplify-44`
696×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	209	2818
1	360	2818
2	626	2706
3	1208	2694
4	2332	2690
5	4395	2690
6	6852	2690

Stop Event

1×	node limit

Counts

126 → 130

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
1/2
(+.f64 1/2 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))) 0))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))))
(+.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))) (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)))
(+.f64 (/.f64 (cos.f64 x) (.f64 x x)) (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) (/.f64 -1 (.f64 x x))))
(+.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 1 (.f64 x x)))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (neg.f64 (/.f64 -1 (.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2)))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2) (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 3/2)))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) 2) (+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))) (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 1/2)) (*.f64 x x))))
(+.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 1/2)) (.f64 x x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (*.f64 x x))))
(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(+.f64 (/.f64 -1 (.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2)))
(+.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 2) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 2)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2)) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x))) (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 1/2)) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2) (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2)))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2) (+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2) (neg.f64 (/.f64 -1 (*.f64 x x)))))
(+.f64 (neg.f64 (/.f64 -1 (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 (.f64 x (.f64 x -2)) 2)) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (.f64 x (.f64 x -2)) 2))))
(+.f64 (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 2) -2) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2)))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2)) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2)) (/.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 2) -2))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2)) (.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 3/2))
(+.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) (.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (*.f64 x x)) 2))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (.f64 x (.f64 x -2)) 2))) (/.f64 (cos.f64 x) (.f64 (.f64 x (.f64 x -2)) 2)))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 x (+.f64 x x)))) (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 x (+.f64 x x))))
(+.f64 (.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))) 0) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(+.f64 (+.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))) (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 1/2)) (.f64 x x))) (.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (*.f64 x x)) 2))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)))
(+.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2)) (/.f64 -1 (.f64 x x)))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) (/.f64 -1 (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x x)))
(+.f64 (+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2) (neg.f64 (/.f64 -1 (.f64 x x)))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 3/2))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 2)))
(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 0) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 -1 (.f64 x x)))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (neg.f64 (/.f64 1 (.f64 x x))))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (/.f64 -1 (.f64 x x)) (/.f64 (.f64 x (.f64 x -2)) (.f64 x (.f64 x -2)))))
(.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (.f64 x x)))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) -1)
(.f64 (/.f64 -1 (.f64 x x)) (+.f64 (cos.f64 x) -1))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(/.f64 (-.f64 1 (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 (cos.f64 x) -1/2) 1)
(+.f64 (+.f64 (*.f64 (cos.f64 x) -1/2) 1) 0)
(+.f64 0 (+.f64 (*.f64 (cos.f64 x) -1/2) 1))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 (/.f64 (cos.f64 x) -4) (+.f64 1 (/.f64 (cos.f64 x) -4)))
(+.f64 (/.f64 (.f64 (cos.f64 x) 1/2) -2) (+.f64 1 (/.f64 (.f64 (cos.f64 x) 1/2) -2)))
(+.f64 (+.f64 1 (/.f64 (cos.f64 x) -4)) (/.f64 (cos.f64 x) -4))
(+.f64 (+.f64 1 (/.f64 (.f64 (cos.f64 x) 1/2) -2)) (/.f64 (.f64 (cos.f64 x) 1/2) -2))
(.f64 -1 (+.f64 -1 (.f64 (cos.f64 x) 1/2)))
(.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) 1)
(.f64 1 (+.f64 (.f64 (cos.f64 x) -1/2) 1))
(.f64 (+.f64 -1 (.f64 (cos.f64 x) 1/2)) -1)
(/.f64 (+.f64 (*.f64 (cos.f64 x) -1/2) 1) 1)
(/.f64 (+.f64 -1 (*.f64 (cos.f64 x) 1/2)) -1)
(pow.f64 (+.f64 (*.f64 (cos.f64 x) -1/2) 1) 1)
(neg.f64 (+.f64 -1 (*.f64 (cos.f64 x) 1/2)))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6))) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.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 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))))
(+.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 (.f64 1/720 (pow.f64 x 6)) (+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (.f64 -1/40320 (pow.f64 x 8))))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.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 1 (*.f64 -1 (cos.f64 x)))
(+.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 1 (*.f64 -1 (cos.f64 x)))
(+.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 1 (*.f64 -1 (cos.f64 x)))
(+.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))
1/2
(+.f64 1/2 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) 1/4))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 4) -1/48)))
(+.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/4)) (.f64 (pow.f64 x 4) -1/48))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/48) (.f64 (pow.f64 x 6) 1/1440)) (+.f64 1/2 (*.f64 (pow.f64 x 2) 1/4)))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (.f64 (pow.f64 x 4) -1/48) (*.f64 (pow.f64 x 6) 1/1440))))
(+.f64 (.f64 (pow.f64 x 4) -1/48) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 6) 1/1440)) 1/2))
(+.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/4)) (+.f64 (.f64 (pow.f64 x 4) -1/48) (*.f64 (pow.f64 x 6) 1/1440)))
(+.f64 (.f64 (pow.f64 x 4) -1/48) (+.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/4)) (*.f64 (pow.f64 x 6) 1/1440)))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 1 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))) (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (cos.f64 x) (.f64 x x)) (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) (/.f64 -1 (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 1 (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (neg.f64 (/.f64 -1 (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2) (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 3/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) 2) (+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))) (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 1/2)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 1/2)) (.f64 x x)) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 -1 (.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 2) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 2)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2)) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x))) (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 1/2)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2) (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2) (+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2) (neg.f64 (/.f64 -1 (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (neg.f64 (/.f64 -1 (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (cos.f64 x) (.f64 (.f64 x (.f64 x -2)) 2)) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (.f64 x (.f64 x -2)) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 x (+.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 2) -2) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2)) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2)) (/.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 2) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2)) (.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 3/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) (.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (.f64 x (.f64 x -2)) 2))) (/.f64 (cos.f64 x) (.f64 (.f64 x (.f64 x -2)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 x (+.f64 x x)))) (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 x (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))) 0) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (.f64 (cos.f64 x) (/.f64 -1/2 (.f64 x x))) (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 1/2)) (.f64 x x))) (.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2)) (/.f64 -1 (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 2) (/.f64 -1 (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 1/2) (neg.f64 (/.f64 -1 (.f64 x x)))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 3/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 0) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 -1 (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (neg.f64 (/.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (/.f64 -1 (.f64 x x)) (/.f64 (.f64 x (.f64 x -2)) (.f64 x (.f64 x -2)))))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 -1 (.f64 (.f64 (.f64 x -2) (/.f64 x (.f64 x (.f64 x -2)))) (*.f64 x x))))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 -1 (.f64 (.f64 x x) (.f64 x (/.f64 (.f64 x -2) (.f64 -2 (*.f64 x x)))))))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 -1 (.f64 (.f64 x x) (.f64 x (.f64 x (/.f64 -2 (.f64 (*.f64 x x) -2)))))))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 0 (.f64 (.f64 x x) -2))))
(/.f64 (-.f64 (/.f64 1 (.f64 x (.f64 x (/.f64 -2 (.f64 x (.f64 x -2)))))) (cos.f64 x)) (*.f64 x x))
(-.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 0 (.f64 x (.f64 x -2)))) (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 -1 (.f64 x x)) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 1 (neg.f64 (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 (cos.f64 x) -1))
(+.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 1 (-.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))
(/.f64 (-.f64 1 (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))
(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 (cos.f64 x) -1/2) 1)
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 (+.f64 (*.f64 (cos.f64 x) -1/2) 1) 0)
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 0 (+.f64 (*.f64 (cos.f64 x) -1/2) 1))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 (/.f64 (cos.f64 x) -4) (+.f64 1 (/.f64 (cos.f64 x) -4)))
(+.f64 (/.f64 (.f64 (cos.f64 x) 1/2) -2) (+.f64 1 (/.f64 (.f64 (cos.f64 x) 1/2) -2)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(+.f64 (+.f64 1 (/.f64 (cos.f64 x) -4)) (/.f64 (cos.f64 x) -4))
(+.f64 (/.f64 (cos.f64 x) -4) (+.f64 1 (/.f64 (cos.f64 x) -4)))
(+.f64 (+.f64 1 (/.f64 (.f64 (cos.f64 x) 1/2) -2)) (/.f64 (.f64 (cos.f64 x) 1/2) -2))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(.f64 -1 (+.f64 -1 (.f64 (cos.f64 x) 1/2)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) 1)
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(.f64 1 (+.f64 (.f64 (cos.f64 x) -1/2) 1))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(.f64 (+.f64 -1 (.f64 (cos.f64 x) 1/2)) -1)
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(/.f64 (+.f64 (*.f64 (cos.f64 x) -1/2) 1) 1)
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(/.f64 (+.f64 -1 (*.f64 (cos.f64 x) 1/2)) -1)
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(pow.f64 (+.f64 (*.f64 (cos.f64 x) -1/2) 1) 1)
(+.f64 1 (*.f64 (cos.f64 x) -1/2))
(neg.f64 (+.f64 -1 (*.f64 (cos.f64 x) 1/2)))
(+.f64 1 (*.f64 (cos.f64 x) -1/2))

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
	2.5b	(+.f64 (cos.f64 x) -1)
	14.4b	(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
✓	15.9b	(+.f64 (/.f64 (-.f64 1 (.f64 (cos.f64 x) 1/2)) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (.f64 x x) -2)))

Compiler

Compiled 140 to 72 computations (48.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`rational_best-2`
1240×	`rational_best-1`
1236×	`rational_best-4`
1236×	`rational_best-3`
1214×	`exponential-1`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	98	80
2	175	80
3	372	80
4	872	80
5	2186	80
6	5040	62

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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simplify151.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1250×	`rational_best-simplify-48`
1092×	`rational_best-simplify-49`
1018×	`rational_best-simplify-46`
972×	`rational_best-simplify-36`
954×	`rational_best-simplify-45`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	187	5121
1	312	5117
2	535	4097
3	941	4097
4	1932	3917
5	3747	3895
6	6668	3109

Stop Event

1×	node limit

Counts

109 → 135

Calls

Call 1

Inputs
1/2
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(pow.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x -2))) 1)
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Outputs
1/2
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(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 (/.f64 -1 (.f64 x x)) (*.f64 (cos.f64 x) 1/2))
(.f64 (cos.f64 x) (.f64 (/.f64 -1 (*.f64 x x)) 1/2))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 -1 (*.f64 x x))))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))
(.f64 (/.f64 1 (.f64 x (+.f64 x x))) (neg.f64 (cos.f64 x)))
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x))) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x))) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 (/.f64 (cos.f64 0) (.f64 x (*.f64 x -2))) (cos.f64 x))
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (/.f64 1/2 (neg.f64 (.f64 x x))) (cos.f64 x))
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
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(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 (.f64 (cos.f64 0) (/.f64 1 (*.f64 x (+.f64 x x)))) (neg.f64 (cos.f64 x)))
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x))) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 (/.f64 1 (.f64 (.f64 x x) -4)) (.f64 (cos.f64 x) 2))
(.f64 2 (/.f64 (cos.f64 x) (.f64 (*.f64 x x) -4)))
(.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x -4))))
(.f64 (/.f64 (cos.f64 x) (.f64 (*.f64 x x) -4)) 2)
(.f64 2 (/.f64 (cos.f64 x) (.f64 (*.f64 x x) -4)))
(.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x -4))))
(.f64 (/.f64 (cos.f64 x) (.f64 (*.f64 x x) -4)) (+.f64 (cos.f64 0) (cos.f64 0)))
(.f64 2 (.f64 (/.f64 (cos.f64 x) (.f64 (.f64 x x) -4)) (cos.f64 0)))
(.f64 2 (.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x -4))) (cos.f64 0)))
(.f64 (+.f64 (/.f64 1 (.f64 x (.f64 x -2))) (/.f64 1 (.f64 x (.f64 x -2)))) (.f64 (cos.f64 x) 1/2))
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/2 (.f64 x x))) (.f64 (cos.f64 x) -1/2))
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x))) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (cos.f64 x) (.f64 (*.f64 x x) -4)))
(.f64 2 (.f64 (/.f64 (cos.f64 x) (.f64 (.f64 x x) -4)) (cos.f64 0)))
(.f64 2 (.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x -4))) (cos.f64 0)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (.f64 (cos.f64 x) 1/2) (.f64 x (.f64 x -2))))
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (.f64 (cos.f64 x) 1/2) (/.f64 1 (.f64 x (*.f64 x -2)))))
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (.f64 (cos.f64 x) 1/2) (/.f64 (cos.f64 0) (.f64 x (*.f64 x -2)))))
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 (.f64 (cos.f64 x) -1/2) (/.f64 1 (.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x))) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 (/.f64 (.f64 (cos.f64 x) 1/2) (.f64 x (.f64 x -2))) (+.f64 (cos.f64 0) (cos.f64 0)))
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (.f64 (.f64 (cos.f64 x) 1/2) (/.f64 1 (.f64 x (*.f64 x -2)))) 2)
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (.f64 (.f64 (cos.f64 x) 1/2) (/.f64 1 (.f64 x (*.f64 x -2)))) (+.f64 (cos.f64 0) (cos.f64 0)))
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (.f64 (.f64 (cos.f64 x) 1/2) (/.f64 1/2 (neg.f64 (.f64 x x)))) 2)
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x))) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 (.f64 (/.f64 -1 (.f64 x x)) (/.f64 (.f64 (cos.f64 x) 1/2) 2)) 2)
(.f64 (cos.f64 x) (.f64 (/.f64 -1 (*.f64 x x)) 1/2))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 -1 (*.f64 x x))))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))
(.f64 (.f64 (/.f64 1/2 (.f64 x x)) (.f64 (cos.f64 x) -1/2)) 2)
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x))) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 (.f64 (.f64 (cos.f64 x) 1/2) (/.f64 (cos.f64 0) (.f64 x (*.f64 x -2)))) 2)
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (.f64 (.f64 (cos.f64 x) 1/2) (/.f64 (cos.f64 0) (.f64 x (*.f64 x -2)))) (+.f64 (cos.f64 0) (cos.f64 0)))
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 x) (.f64 (.f64 x x) -4))) 2)
(.f64 2 (.f64 (/.f64 (cos.f64 x) (.f64 (.f64 x x) -4)) (cos.f64 0)))
(.f64 2 (.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x -4))) (cos.f64 0)))
(.f64 (.f64 (cos.f64 0) (/.f64 (.f64 (cos.f64 x) 1/2) (.f64 x (*.f64 x -2)))) 2)
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(.f64 (.f64 (.f64 (cos.f64 x) -1/2) (/.f64 1 (.f64 x (+.f64 x x)))) 2)
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x))) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 (.f64 (.f64 (cos.f64 x) -1/2) (/.f64 1 (.f64 x (+.f64 x x)))) (+.f64 (cos.f64 0) (cos.f64 0)))
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x))) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))
(pow.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x -2))) 1)
(/.f64 (cos.f64 x) (.f64 x (.f64 x -2)))
(/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))
(neg.f64 (.f64 (cos.f64 x) (/.f64 1/2 (.f64 x x))))
(+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (+.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (.f64 1/2 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x))) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))) (.f64 1 (/.f64 (cos.f64 x) (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (.f64 1/2 (/.f64 (cos.f64 x) (*.f64 x x))))
(.f64 -1/2 (/.f64 (cos.f64 x) (.f64 x x)))

eval549.0ms (4.9%)

Compiler: Compiled 20429 to 11598 computations (43.2% saved)

prune165.0ms (1.5%)

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	784	7	791
Fresh	4	9	13
Picked	0	1	1
Done	0	8	8
Total	788	25	813

Error

0.4b

Counts

813 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	47.4b	(/.f64 (-.f64 (/.f64 1 (.f64 x (.f64 x (/.f64 -2 (.f64 x (.f64 x -2)))))) (cos.f64 x)) (*.f64 x x))
▶	55.8b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
✓	30.9b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓	31.0b	(/.f64 (+.f64 (/.f64 (cos.f64 x) -2) (-.f64 (/.f64 (cos.f64 x) -2) -1)) (*.f64 x x))
▶	30.6b	(-.f64 (/.f64 1 (.f64 (.f64 x x) -2)) (-.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 x (.f64 x 2))) (/.f64 1 (.f64 x x))))
✓	30.6b	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
✓	30.3b	(-.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x)))
	30.9b	(+.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) 2))
	30.8b	(+.f64 (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) -1/2) 1) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 x (+.f64 x x)))))
	30.7b	(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (-.f64 2 (cos.f64 x)) (pow.f64 x 2)))
✓	30.7b	(+.f64 (/.f64 -1 (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) (+.f64 (neg.f64 (cos.f64 x)) 2)))
▶	30.7b	(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2))
▶	31.4b	(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6))) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))))
✓	31.1b	(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 3) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 2))
	31.2b	(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 3) (.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 1 (*.f64 x x))) 2))
	31.2b	(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 3) (.f64 (-.f64 (/.f64 -1 (.f64 (.f64 x x) -2)) (-.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 (.f64 x x) -2)) (/.f64 -1 (*.f64 x x)))) 2))
✓	31.3b	(+.f64 (.f64 (+.f64 (/.f64 (-.f64 1 (.f64 (cos.f64 x) 1/2)) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))) 3) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2))
	31.3b	(+.f64 (.f64 (+.f64 (/.f64 (-.f64 1 (.f64 (cos.f64 x) 1/2)) (.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2))) 3) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 2))
	31.1b	(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (+.f64 (/.f64 -1 (.f64 x x)) (.f64 2 (/.f64 (cos.f64 x) (.f64 x x))))))
✓	31.3b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
✓	31.6b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
▶	31.0b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
	31.1b	(.f64 (/.f64 1 (.f64 x x)) (+.f64 (-.f64 -1 (cos.f64 x)) 2))
	31.1b	1/2
	45.7b	0

Compiler

Compiled 832 to 532 computations (36.1% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 x (*.f64 x 2)))
	0.5b	(/.f64 1 (*.f64 x x))
✓	14.6b	(-.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 x (.f64 x 2))) (/.f64 1 (.f64 x x)))
✓	16.0b	(-.f64 (/.f64 1 (.f64 (.f64 x x) -2)) (-.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 x (.f64 x 2))) (/.f64 1 (.f64 x x))))

Compiler

Compiled 102 to 61 computations (40.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`rational_best-1`
1346×	`rational_best-2`
1342×	`rational_best-4`
1342×	`rational_best-3`
1324×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	165
1	134	165
2	234	165
3	434	147
4	935	135
5	2340	135
6	5790	135

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs

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

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

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

Outputs

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

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simplify218.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational_best-simplify-1`
1070×	`rational_best-simplify-2`
1010×	`rational_best-simplify-44`
848×	`rational_best-simplify-47`
634×	`rational_best-simplify-57`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	217	8027
1	351	8027
2	567	7199
3	909	6391
4	1806	6369
5	3102	5985
6	5116	5967
7	7754	5967

Stop Event

1×	node limit

Counts

135 → 169

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
	0.5b	(/.f64 1 (*.f64 x x))
	2.5b	(-.f64 1 (cos.f64 x))
✓	14.4b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`rational_best-1`
920×	`rational_best-2`
918×	`rational_best-3`
916×	`rational_best-4`
914×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	63	29
2	97	29
3	163	29
4	317	29
5	588	29
6	1325	29
7	4502	29

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

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

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational_best-simplify-41`
1046×	`rational_best-simplify-51`
1024×	`rational_best-simplify-2`
862×	`rational_best-simplify-1`
682×	`rational_best-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	528
1	68	528
2	104	528
3	142	528
4	167	528
5	191	528
6	197	528
7	230	528
8	270	528
9	339	528
10	628	528
11	2198	528
12	3895	528
13	6438	528

Stop Event

1×	node limit

Counts

20 → 18

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x x) (*.f64 x x))
	2.5b	(-.f64 1 (cos.f64 x))
✓	14.4b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
✓	42.6b	(/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))

Compiler

Compiled 46 to 11 computations (76.1% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`rational_best-1`
958×	`rational_best-2`
942×	`rational_best-3`
940×	`rational_best-4`
940×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	97
1	76	97
2	167	97
3	423	85
4	1423	49
5	4320	49
6	7930	49

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

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

simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational_best-simplify-1`
928×	`rational_best-simplify-49`
794×	`rational_best-simplify-43`
770×	`rational_best-simplify-2`
666×	`rational_best-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	335	5076
1	669	5032
2	1543	4932
3	5028	4902

Stop Event

1×	node limit

Counts

208 → 260

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
	0.5b	(/.f64 (cos.f64 x) (*.f64 x x))
✓	14.9b	(+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 3/2))
✓	23.2b	(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2))

Compiler

Compiled 90 to 29 computations (67.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2))
0.0ms	x	@	-inf	(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2))
0.0ms	x	@	0	(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2)) (.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2))
0.0ms	x	@	-inf	(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
0.0ms	x	@	inf	(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`rational_best-1`
1342×	`rational_best-2`
1340×	`rational_best-3`
1338×	`rational_best-4`
1330×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	139
1	119	139
2	191	139
3	323	139
4	629	133
5	1468	133
6	4601	133

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs

(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 3/2)) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 1/2))

(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 3/2))

(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (*.f64 0 (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (*.f64 0 (*.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) 2) (*.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (cos.f64 x) 2)) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) 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simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1308×	`rational_best-simplify-54`
1306×	`rational_best-simplify-55`
982×	`rational_best-simplify-47`
930×	`rational_best-simplify-2`
904×	`rational_best-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	284	5658
1	489	5446
2	895	5348
3	1680	5320
4	3446	5134

Stop Event

1×	node limit

Counts

154 → 233

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (+.f64 1 (+.f64 (.f64 -3/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (+.f64 1 (+.f64 (.f64 -3/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (+.f64 1 (+.f64 (.f64 -3/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (+.f64 1 (+.f64 (.f64 -3/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (+.f64 1 (+.f64 (.f64 -3/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (+.f64 1 (+.f64 (.f64 -3/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (+.f64 1 (+.f64 (.f64 -3/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (+.f64 1 (+.f64 (.f64 -3/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (pow.f64 x 2))
(/.f64 -1/2 (pow.f64 x 2))
(-.f64 3/4 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 3/4 (.f64 -1/16 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 3/4 (+.f64 (.f64 1/480 (pow.f64 x 4)) (.f64 -1/16 (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 (+.f64 1 (*.f64 -3/2 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -3/2 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -3/2 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -3/2 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -3/2 (cos.f64 x))) (pow.f64 x 2))
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(.f64 (cos.f64 x) (+.f64 (/.f64 (cos.f64 0) (.f64 x x)) (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))))))
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(.f64 (.f64 (/.f64 -1 (.f64 x x)) (.f64 (cos.f64 x) 1/2)) 2)
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(.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (cos.f64 0) (/.f64 -2 (.f64 x x)))) (cos.f64 x))
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(.f64 (.f64 (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))) (.f64 (cos.f64 x) 1/2)) 2)
(.f64 (.f64 (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))) (.f64 (cos.f64 x) 1/2)) (*.f64 (cos.f64 0) 2))
(.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))) 2)
(.f64 (.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) -2)) 2)
(.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) -2)) (.f64 (cos.f64 0) 2))
(.f64 (.f64 (/.f64 (cos.f64 0) (*.f64 x x)) (/.f64 (cos.f64 x) -2)) 2)
(pow.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 1)
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
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(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (+.f64 (.f64 -3/2 (cos.f64 x)) (.f64 1/2 (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (pow.f64 x 2))
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(-.f64 (+.f64 3/4 (.f64 (pow.f64 x 2) -1/16)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 3/4 (+.f64 (.f64 1/480 (pow.f64 x 4)) (.f64 -1/16 (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 3/4 (+.f64 (.f64 (pow.f64 x 2) -1/16) (.f64 (pow.f64 x 4) 1/480))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (+.f64 3/4 (.f64 (pow.f64 x 2) -1/16)) (.f64 (pow.f64 x 4) 1/480)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 (+.f64 1 (*.f64 -3/2 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -3/2 (cos.f64 x))) (pow.f64 x 2))
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(.f64 (+.f64 (/.f64 (cos.f64 0) (.f64 x x)) (.f64 (cos.f64 0) (/.f64 -2 (.f64 x x)))) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 (/.f64 (cos.f64 0) (.f64 x x)) (.f64 (cos.f64 0) (/.f64 -2 (.f64 x x)))))
(.f64 (+.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))))) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))) (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 1 (.f64 x x)))))
(.f64 (cos.f64 x) (+.f64 (/.f64 -1 (.f64 x x)) (+.f64 (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))) (/.f64 1 (.f64 x x)))))
(.f64 (cos.f64 x) (+.f64 (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 -1 (.f64 x x)))))
(.f64 (cos.f64 x) (+.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))))))
(.f64 (+.f64 (/.f64 1 (.f64 x x)) (.f64 (cos.f64 0) (/.f64 -2 (.f64 x x)))) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 (/.f64 1 (.f64 x x)) (.f64 (cos.f64 0) (/.f64 -2 (.f64 x x)))))
(.f64 (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 1 (.f64 (.f64 x x) 2))) (*.f64 (cos.f64 x) 2))
(.f64 (.f64 2 (cos.f64 x)) (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 1 (.f64 2 (*.f64 x x)))))
(.f64 2 (.f64 (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 1 (.f64 x (*.f64 2 x)))) (cos.f64 x)))
(.f64 (.f64 2 (cos.f64 x)) (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 1 (.f64 x (*.f64 x 2)))))
(.f64 2 (.f64 (cos.f64 x) (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 1 (.f64 x (+.f64 x x))))))
(.f64 (.f64 (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))) (.f64 (cos.f64 x) 1/2)) 2)
(.f64 (cos.f64 x) (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))))
(.f64 (.f64 (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))) (.f64 (cos.f64 x) 1/2)) (*.f64 (cos.f64 0) 2))
(.f64 (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))) (.f64 (.f64 2 (cos.f64 0)) (*.f64 1/2 (cos.f64 x))))
(.f64 (cos.f64 0) (.f64 (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))) (.f64 (cos.f64 x) 1)))
(.f64 (cos.f64 x) (.f64 (cos.f64 0) (.f64 (/.f64 (cos.f64 0) (.f64 x (neg.f64 x))) 1)))
(.f64 (cos.f64 x) (.f64 (cos.f64 0) (/.f64 (cos.f64 0) (*.f64 x (neg.f64 x)))))
(.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))) 2)
(.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (cos.f64 0))
(.f64 (/.f64 (cos.f64 x) (.f64 x x)) (neg.f64 (cos.f64 0)))
(.f64 (.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) -2)) 2)
(.f64 (/.f64 1 (.f64 x x)) (neg.f64 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) -2)) (.f64 (cos.f64 0) 2))
(.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 2 (cos.f64 0)) (/.f64 (cos.f64 x) -2)))
(.f64 2 (.f64 (cos.f64 0) (.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) -2))))
(.f64 2 (.f64 (/.f64 1 (.f64 x x)) (.f64 (cos.f64 0) (/.f64 (cos.f64 x) -2))))
(.f64 (cos.f64 0) (.f64 (/.f64 1 (.f64 x x)) (.f64 2 (*.f64 (cos.f64 x) -1/2))))
(.f64 (/.f64 1 (.f64 x x)) (*.f64 (cos.f64 0) (neg.f64 (cos.f64 x))))
(.f64 (.f64 (/.f64 (cos.f64 0) (*.f64 x x)) (/.f64 (cos.f64 x) -2)) 2)
(.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 0) (.f64 x x)))
(.f64 (cos.f64 x) (neg.f64 (/.f64 (cos.f64 0) (.f64 x x))))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) 1)
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/40320 (pow.f64 x 6))
	0.1b	(*.f64 1/720 (pow.f64 x 4))
	0.4b	(*.f64 -1/24 (pow.f64 x 2))
✓	25.8b	(+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6)))

Compiler

Compiled 70 to 57 computations (18.6% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6)))
0.0ms	x	@	0	(+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6)))
0.0ms	x	@	inf	(*.f64 -1/40320 (pow.f64 x 6))
0.0ms	x	@	0	(*.f64 -1/40320 (pow.f64 x 6))
0.0ms	x	@	-inf	(+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6)))

rewrite12.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

20×	`rational_best-simplify-2`
18×	`rational_best-simplify-1`
16×	`rational_best-4`
16×	`rational_best-2`
16×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	77	44
2	105	44
3	107	44

Stop Event

1×

saturated

Counts

2 → 10

Calls

Call 1

Inputs
(+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6)))
(*.f64 -1/40320 (pow.f64 x 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/40320 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/40320 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/40320 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/40320 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/40320 (pow.f64 x 6)) 1)))))

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`rational_best-simplify-1`
10×	`rational_best-simplify-2`
10×	`rational_best-simplify-7`
8×	`rational_best-simplify-43`
6×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	538
1	30	538
2	43	538
3	50	538
4	55	538

Stop Event

1×

saturated

Counts

22 → 14

Calls

Call 1

Inputs
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6))) 0)
(.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))) 1)
(.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6))) 1)
(pow.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6))) 1)
(+.f64 (*.f64 -1/40320 (pow.f64 x 6)) 0)
(+.f64 0 (*.f64 -1/40320 (pow.f64 x 6)))
(-.f64 (*.f64 -1/40320 (pow.f64 x 6)) 0)
(/.f64 (*.f64 -1/40320 (pow.f64 x 6)) 1)
(pow.f64 (*.f64 -1/40320 (pow.f64 x 6)) 1)

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

eval345.0ms (3.1%)

Compiler: Compiled 31844 to 15683 computations (50.8% saved)

prune259.0ms (2.3%)

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	1149	6	1155
Fresh	2	9	11
Picked	0	1	1
Done	3	10	13
Total	1154	26	1180

Error

0.4b

Counts

1180 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	47.4b	(/.f64 (-.f64 (/.f64 1 (.f64 x (.f64 x (/.f64 -2 (.f64 x (.f64 x -2)))))) (cos.f64 x)) (*.f64 x x))
	55.8b	(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))
	47.4b	(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (.f64 (.f64 x x) 3) (.f64 (.f64 x x) -2)))
	30.8b	(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 -1 (+.f64 (*.f64 x x) 1)))
	55.8b	(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
✓	30.9b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓	31.0b	(/.f64 (+.f64 (/.f64 (cos.f64 x) -2) (-.f64 (/.f64 (cos.f64 x) -2) -1)) (*.f64 x x))
✓	30.6b	(-.f64 (/.f64 1 (.f64 (.f64 x x) -2)) (-.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 x (.f64 x 2))) (/.f64 1 (.f64 x x))))
	30.9b	(-.f64 (/.f64 1 (.f64 (.f64 x x) -2)) (+.f64 (-.f64 (/.f64 -1 (.f64 x x)) (/.f64 1 (.f64 x (+.f64 x x)))) (.f64 -2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x -2))))))
✓	30.6b	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
✓	30.3b	(-.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x)))
	30.9b	(+.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 1 (*.f64 x x)) 2))
	31.2b	(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 1 (.f64 x x)) (+.f64 1 (-.f64 1 (cos.f64 x))))))
✓	31.4b	(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6))) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))))
✓	31.1b	(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 3) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 2))
	31.2b	(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 3) (.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 1 (*.f64 x x))) 2))
	31.2b	(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 3) (.f64 (-.f64 (/.f64 -1 (.f64 (.f64 x x) -2)) (-.f64 (/.f64 (+.f64 -1 (.f64 (cos.f64 x) 2)) (.f64 (.f64 x x) -2)) (/.f64 -1 (*.f64 x x)))) 2))
✓	31.3b	(+.f64 (.f64 (+.f64 (/.f64 (-.f64 1 (.f64 (cos.f64 x) 1/2)) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (.f64 x x) -2))) 3) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 2))
	31.3b	(+.f64 (.f64 (+.f64 (/.f64 (-.f64 1 (.f64 (cos.f64 x) 1/2)) (.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) 3/2))) 3) (.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 2))
	31.1b	(+.f64 (.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (+.f64 (/.f64 -1 (.f64 x x)) (.f64 2 (/.f64 (cos.f64 x) (.f64 x x))))))
✓	31.3b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
✓	31.6b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
✓	31.0b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
	31.1b	(.f64 (/.f64 1 (.f64 x x)) (+.f64 (-.f64 -1 (cos.f64 x)) 2))
	31.1b	1/2
	45.7b	0

Compiler

Compiled 513 to 333 computations (35.1% saved)

regimes317.0ms (2.8%)

Counts

40 → 3

Calls

Call 1

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

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

Calls

2 calls:

293.0ms	x
10.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.5b	3	`x`
15.5b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 801 to 413 computations (48.4% saved)

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.05796950800218611	24813250.432266194
21.0ms	-73177862.94785987	-0.01421107192973982

Results

34.0ms

304×

body

256

valid

Compiler

Compiled 602 to 484 computations (19.6% saved)

regimes63.0ms (0.6%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	x
10.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.5b	3	`x`
15.6b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 531 to 281 computations (47.1% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.05796950800218611	24813250.432266194
21.0ms	-73177862.94785987	-0.01421107192973982

Results

35.0ms

304×

body

256

valid

Compiler

Compiled 602 to 484 computations (19.6% saved)

regimes200.0ms (1.8%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

2 calls:

183.0ms	x
8.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.6b	3	`x`
15.6b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 512 to 265 computations (48.2% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.5020492626336023e-5	0.05796950800218611
21.0ms	-73177862.94785987	-0.01421107192973982

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 463 to 369 computations (20.3% saved)

regimes212.0ms (1.9%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

2 calls:

178.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
28.0ms	x

Results

Error	Segments	Branch
0.7b	3	`x`
15.8b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 315 to 159 computations (49.5% saved)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.5020492626336023e-5	0.05796950800218611
8.0ms	-0.007287840971956707	-0.003769518553041303

Results

21.0ms

192×

body

256

valid

Compiler

Compiled 257 to 205 computations (20.2% saved)

regimes21.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
5.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.7b	3	`x`
15.8b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 70 to 41 computations (41.4% saved)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.5020492626336023e-5	0.05796950800218611
8.0ms	-0.007287840971956707	-0.003769518553041303

Results

21.0ms

192×

body

256

valid

Compiler

Compiled 241 to 189 computations (21.6% saved)

regimes11.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
14.5b	3	`x`

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.05796950800218611	24813250.432266194
21.0ms	-73177862.94785987	-0.01421107192973982

Results

34.0ms

304×

body

256

valid

Compiler

Compiled 241 to 218 computations (9.5% saved)

regimes10.0ms (0.1%)

Accuracy

Total -47.4b remaining (-318.1%)

Threshold costs -47.4b (-318.1%)

Counts

3 → 3

Calls

Call 1

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

Outputs
0
1/2
0

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
14.9b	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch62.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	3.4390815433112856e+76	1.197436047005927e+89
30.0ms	-6.027726782694551e+77	-3.2785833153076617e+66

Results

46.0ms	224×	body	512	valid
12.0ms	96×	body	256	valid

Compiler

Compiled 133 to 129 computations (3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	578

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -3602879701896397/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 3458764513820541/36028797018963968) (+.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6)))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -3602879701896397/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 3458764513820541/36028797018963968) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 -1/40320 (pow.f64 x 6))))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -1224979098644775/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 8070450532247929/288230376151711744) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4)))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 -1 (+.f64 (.f64 x x) 1))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -7/2) 0 (if (<=.f64 x 7/2) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 0))
(if (<=.f64 x -119999999999999992791711785436734146363018478165098748993720564156436311965696) 0 (if (<=.f64 x 106000000000000003060048603455191445800177264113991163074710728530570042671104) 1/2 0))
0

Outputs
(if (<=.f64 x -3602879701896397/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 3458764513820541/36028797018963968) (+.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6)))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -3602879701896397/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 3458764513820541/36028797018963968) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 -1/40320 (pow.f64 x 6))))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -1224979098644775/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 8070450532247929/288230376151711744) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4)))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(if (<=.f64 x -662929865148937/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 -1 (+.f64 (.f64 x x) 1))) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -7/2) 0 (if (<=.f64 x 7/2) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 0))
(if (<=.f64 x -119999999999999992791711785436734146363018478165098748993720564156436311965696) 0 (if (<=.f64 x 106000000000000003060048603455191445800177264113991163074710728530570042671104) 1/2 0))
0

Compiler

Compiled 226 to 161 computations (28.8% saved)

soundness735.0ms (6.5%)

Algorithm

2×	egg-herbie

Rules

1396×	`rational_best-simplify-44`
1322×	`rational_best-simplify-47`
1242×	`rational_best-simplify-2`
1000×	`rational_best-simplify-43`
978×	`rational_best-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	321	4471
1	573	4265
2	1430	4161
3	4856	4041
0	235	6134
1	441	5462
2	959	3858
3	2565	3592
4	5233	3574

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 418 to 246 computations (41.1% saved)

end93.0ms (0.8%)

Compiler: Compiled 219 to 146 computations (33.3% saved)