Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.6s (28.2%)

Results

2.3s	4000×	body	1024	valid
1.7s	2085×	body	2048	valid
447.0ms	1335×	body	512	valid
232.0ms	830×	body	256	valid
8.0ms	6×	body	4096	valid

Bogosity

preprocess23.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	14	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	10	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 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

41.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	1.2b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.4b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite166.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`rational_best_45_simplify-71`
974×	`rational_best-4`
974×	`rational_best-2`
974×	`rational_best-3`
974×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	48	37
2	112	37
3	372	37
4	1745	37

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

Inputs
(cos.f64 (+.f64 x eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 x)

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

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational_best_45_simplify-100`
1190×	`rational_best_45_simplify-37`
1174×	`rational_best_45_simplify-91`
1164×	`rational_best_45_simplify-67`
1068×	`rational_best_45_simplify-99`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	383	3537
1	1577	3479

Stop Event

1×	node limit

Counts

217 → 225

Calls

Call 1

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

Outputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 (neg.f64 (.f64 x (sin.f64 eps))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (neg.f64 (.f64 x (sin.f64 eps))) (.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (.f64 eps (.f64 -1 (sin.f64 x))))
(+.f64 (cos.f64 x) (neg.f64 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))))
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (.f64 eps (.f64 -1 (sin.f64 x))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 eps -1)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 eps -1)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 eps -1)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 eps -1)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (-.f64 (+.f64 (neg.f64 (.f64 x (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 1))
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(cos.f64 x)
(.f64 (cos.f64 x) (.f64 (cos.f64 x) (/.f64 (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (cos.f64 x))))
(cos.f64 x)
(.f64 (cos.f64 x) (.f64 (cos.f64 x) (/.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))))
(cos.f64 x)
(.f64 (cos.f64 x) (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))) (/.f64 (cos.f64 x) (cos.f64 x))))
(cos.f64 x)
(.f64 (cos.f64 x) (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) (/.f64 (cos.f64 x) (cos.f64 x))))
(cos.f64 x)
(.f64 (cos.f64 x) (.f64 (*.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (/.f64 (cos.f64 x) (cos.f64 x))))
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))
(cos.f64 x)
(.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 1 (/.f64 (cos.f64 x) (cos.f64 x)))))
(cos.f64 x)
(.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (+.f64 0 (.f64 (cos.f64 x) (/.f64 1 (/.f64 (cos.f64 x) (cos.f64 x))))))
(cos.f64 x)
(.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (cos.f64 x) (cos.f64 x)))))
(cos.f64 x)
(.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (*.f64 (cos.f64 x) (/.f64 1 (/.f64 (cos.f64 x) (cos.f64 x)))) (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))))
(cos.f64 x)
(*.f64 (neg.f64 (cos.f64 x)) -1)
(cos.f64 x)
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (cos.f64 x))))
(cos.f64 x)
(.f64 (neg.f64 (cos.f64 x)) (.f64 (neg.f64 (/.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (cos.f64 x) (cos.f64 x))))
(cos.f64 x)
(.f64 (neg.f64 (cos.f64 x)) (.f64 -1 (/.f64 (cos.f64 x) (cos.f64 x))))
(cos.f64 x)
(*.f64 (neg.f64 (cos.f64 x)) (-.f64 (/.f64 0 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))))
(cos.f64 x)
(.f64 (neg.f64 (cos.f64 x)) (-.f64 0 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))))
(cos.f64 x)
(.f64 (neg.f64 (cos.f64 x)) (-.f64 0 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))))))
(cos.f64 x)
(*.f64 -1 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))) (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) (cos.f64 x))
(cos.f64 x)
(*.f64 (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (/.f64 1 (/.f64 (cos.f64 x) (cos.f64 x)))) (/.f64 (cos.f64 x) (cos.f64 x)))
(cos.f64 x)
(*.f64 (neg.f64 (/.f64 (cos.f64 x) (cos.f64 x))) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(.f64 (neg.f64 (/.f64 (cos.f64 x) (cos.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))))
(cos.f64 x)
(.f64 (neg.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(.f64 (neg.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 x) (cos.f64 x)))) (cos.f64 x))
(cos.f64 x)
(/.f64 (cos.f64 x) 1)
(cos.f64 x)
(/.f64 (cos.f64 x) (/.f64 (cos.f64 x) (cos.f64 x)))
(cos.f64 x)
(/.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))))
(cos.f64 x)
(/.f64 (cos.f64 x) (/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))))
(cos.f64 x)
(neg.f64 (neg.f64 (cos.f64 x)))
(cos.f64 x)

eval394.0ms (2.4%)

Compiler: Compiled 5343 to 1158 computations (78.3% saved)

prune55.0ms (0.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	206	19	225
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	206	20	226

Error

12.9b

Counts

226 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	42.7b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
▶	42.6b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (neg.f64 (.f64 x (sin.f64 eps))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))
	42.1b	(-.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) (cos.f64 x))
	41.2b	(-.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
▶	41.2b	(-.f64 (cos.f64 (+.f64 x eps)) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (cos.f64 x)))
✓	41.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
▶	55.8b	(-.f64 (cos.f64 x) (cos.f64 x))
	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	41.2b	(-.f64 (cos.f64 eps) 1)
	39.3b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))) (+.f64 (cos.f64 eps) -1))
	39.1b	(+.f64 (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 (cos.f64 eps) -1))
	29.8b	(+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
	38.7b	(+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
▶	29.3b	(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
	42.4b	(+.f64 (cos.f64 eps) (-.f64 (+.f64 (neg.f64 (.f64 x (sin.f64 eps))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 1))
	42.7b	(+.f64 (cos.f64 eps) (+.f64 (+.f64 (neg.f64 (.f64 x (sin.f64 eps))) (+.f64 (.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3))) (.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))) -1))
	41.9b	(+.f64 (cos.f64 eps) (+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) -1))
	48.6b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
	35.2b	(neg.f64 (*.f64 eps (sin.f64 x)))

Compiler

Compiled 719 to 486 computations (32.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	0.0b	(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
✓	0.1b	(*.f64 (cos.f64 x) (pow.f64 eps 2))
✓	0.1b	(*.f64 eps (sin.f64 x))

Compiler

Compiled 50 to 24 computations (52% saved)

series11.0ms (0.1%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	-inf	(*.f64 (cos.f64 x) (pow.f64 eps 2))
1.0ms	eps	@	0	(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
1.0ms	eps	@	0	(*.f64 eps (sin.f64 x))
1.0ms	x	@	0	(*.f64 eps (sin.f64 x))
0.0ms	x	@	inf	(*.f64 (cos.f64 x) (pow.f64 eps 2))

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`rational_best_45_simplify-96`
670×	`rational_best_45_simplify-73`
622×	`rational_best_45_simplify-100`
544×	`rational_best_45_simplify-71`
536×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	81	51
2	259	51
3	1136	51
4	5002	51

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

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

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

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simplify154.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1326×	`rational_best_45_simplify-1`
936×	`rational_best_45_simplify-71`
644×	`rational_best_45_simplify-98`
626×	`rational_best_45_simplify-84`
612×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	3410
1	796	3356
2	2936	3268
3	7152	3268

Stop Event

1×	node limit

Counts

136 → 150

Calls

Call 1

Inputs
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/5040 (.f64 eps (pow.f64 x 7))) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/24 (.f64 (pow.f64 eps 2) (pow.f64 x 4)))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/24 (.f64 (pow.f64 eps 2) (pow.f64 x 4))))))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 eps (sin.f64 x)) 0)
(+.f64 (.f64 eps (sin.f64 x)) (.f64 0 (*.f64 eps (/.f64 (sin.f64 x) eps))))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 0 (.f64 (/.f64 eps eps) (.f64 (sin.f64 x) (/.f64 eps eps)))))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 0 (*.f64 eps (/.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 0 (/.f64 (.f64 eps (sin.f64 x)) (.f64 eps (sin.f64 x)))))
(+.f64 0 (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 0 (.f64 eps (/.f64 (sin.f64 x) eps))) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 0 (.f64 (/.f64 eps eps) (.f64 (sin.f64 x) (/.f64 eps eps)))) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 0 (.f64 eps (/.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 0 (/.f64 (.f64 eps (sin.f64 x)) (.f64 eps (sin.f64 x)))) (.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (sin.f64 x)) 0)
(-.f64 0 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 0 (.f64 1 (.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 0 (.f64 (/.f64 eps eps) (.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 0 (.f64 -1 (.f64 eps (sin.f64 x))))
(-.f64 0 (.f64 (.f64 (sin.f64 x) (neg.f64 (/.f64 eps eps))) eps))
(-.f64 (.f64 0 (/.f64 (.f64 eps (sin.f64 x)) (.f64 eps (sin.f64 x)))) (.f64 (/.f64 (.f64 eps (sin.f64 x)) (.f64 eps (sin.f64 x))) (*.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 eps (sin.f64 x)) (.f64 eps (sin.f64 x)))) 0) (.f64 (/.f64 (.f64 eps (sin.f64 x)) (.f64 eps (sin.f64 x))) (*.f64 eps (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 eps (sin.f64 x)) 1)
(/.f64 (*.f64 eps (sin.f64 x)) (/.f64 eps eps))
(/.f64 (*.f64 eps (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (/.f64 eps eps)) (*.f64 (sin.f64 x) (/.f64 eps eps))))
(/.f64 (*.f64 eps (sin.f64 x)) (/.f64 (/.f64 eps eps) (/.f64 eps eps)))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (.f64 eps (/.f64 (sin.f64 x) (sin.f64 x))) (*.f64 eps (/.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (/.f64 (.f64 eps (sin.f64 x)) (.f64 eps (sin.f64 x))) (/.f64 (.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (.f64 eps (/.f64 (sin.f64 x) eps)) (*.f64 eps (/.f64 (sin.f64 x) eps))))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (.f64 (/.f64 eps eps) (.f64 (sin.f64 x) (/.f64 eps eps))) (.f64 (/.f64 eps eps) (*.f64 (sin.f64 x) (/.f64 eps eps)))))
(neg.f64 (*.f64 eps (neg.f64 (sin.f64 x))))
(neg.f64 (.f64 1 (.f64 eps (neg.f64 (sin.f64 x)))))
(neg.f64 (.f64 (/.f64 eps eps) (.f64 eps (neg.f64 (sin.f64 x)))))
(neg.f64 (.f64 -1 (.f64 eps (sin.f64 x))))
(neg.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 (/.f64 eps eps))) eps))
(+.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 0)
(+.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 0 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (cos.f64 x))))))
(+.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 0 (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 0 (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))))
(+.f64 0 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(+.f64 (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (.f64 (cos.f64 x) (pow.f64 eps 2)))
(+.f64 (.f64 0 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 eps 2)))
(+.f64 (.f64 0 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(+.f64 (.f64 0 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))) (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 0)
(-.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (-.f64 0 (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))))
(-.f64 0 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))))
(-.f64 0 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(-.f64 0 (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (neg.f64 (pow.f64 eps 2))) (cos.f64 x)))
(-.f64 0 (-.f64 (.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))) (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))))
(-.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))
(-.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2) (-.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (pow.f64 eps 2))))))
(-.f64 (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) 0) (.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 1)
(/.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))
(/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))))
(/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (cos.f64 x))))))
(/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))) (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))) (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))))
(neg.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))))
(neg.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(neg.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (neg.f64 (pow.f64 eps 2))) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 0)
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 0 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 0 (.f64 (*.f64 (pow.f64 eps 2) -1/2) (/.f64 (cos.f64 x) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 0 (.f64 (cos.f64 x) -1/2)))
(+.f64 0 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 0 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 0 (.f64 (.f64 (pow.f64 eps 2) -1/2) (/.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 0 (.f64 (cos.f64 x) -1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))
(-.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 0)
(-.f64 0 (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2))
(-.f64 0 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)))
(-.f64 0 (.f64 1 (.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2)))
(-.f64 0 (.f64 (neg.f64 (cos.f64 x)) (.f64 (pow.f64 eps 2) -1/2)))
(-.f64 0 (.f64 -1 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(-.f64 0 (.f64 (.f64 (pow.f64 eps 2) 1/2) (cos.f64 x)))
(-.f64 (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2)))
(-.f64 (.f64 0 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))) (.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) 0) (.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2)))
(-.f64 (-.f64 (.f64 0 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))) 0) (.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 1)
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 (pow.f64 eps 2) -1/2)))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (cos.f64 x))) (.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 (cos.f64 x) -1/2)))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))) (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (.f64 (pow.f64 eps 2) -1/2) (/.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (pow.f64 eps 2) -1/2) (/.f64 (cos.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2) -1)
(neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2))
(neg.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)))
(neg.f64 (.f64 1 (.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2)))
(neg.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 (pow.f64 eps 2) -1/2)))
(neg.f64 (.f64 -1 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(neg.f64 (.f64 (.f64 (pow.f64 eps 2) 1/2) (cos.f64 x)))

Outputs
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(.f64 eps (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 eps x) (.f64 -1/6 (.f64 eps (pow.f64 x 3)))) (.f64 eps (*.f64 1/120 (pow.f64 x 5))))
(+.f64 (.f64 eps (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 eps (.f64 1/120 (pow.f64 x 5))))
(.f64 eps (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/5040 (.f64 eps (pow.f64 x 7))) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(+.f64 (.f64 eps x) (+.f64 (.f64 eps (.f64 1/120 (pow.f64 x 5))) (+.f64 (.f64 -1/6 (.f64 eps (pow.f64 x 3))) (.f64 -1/5040 (*.f64 eps (pow.f64 x 7))))))
(+.f64 (.f64 eps (.f64 1/120 (pow.f64 x 5))) (+.f64 (.f64 eps (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 -1/5040 (.f64 eps (pow.f64 x 7)))))
(+.f64 (.f64 eps (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 eps (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 2) (.f64 -1/2 (pow.f64 x 2))))
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(*.f64 (pow.f64 eps 2) (cos.f64 x))
(neg.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(neg.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (neg.f64 (pow.f64 eps 2))) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
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(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
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(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (.f64 0 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
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(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
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(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(+.f64 0 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(+.f64 (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(+.f64 (.f64 0 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(+.f64 (.f64 0 (.f64 (.f64 (pow.f64 eps 2) -1/2) (/.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(+.f64 (.f64 0 (.f64 (cos.f64 x) -1/2)) (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 0)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 0 (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 0 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 0 (.f64 1 (.f64 (*.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 0 (.f64 (neg.f64 (cos.f64 x)) (.f64 (pow.f64 eps 2) -1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 0 (.f64 -1 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 0 (.f64 (.f64 (pow.f64 eps 2) 1/2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 (.f64 0 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))) (.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) 0) (.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))) (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 (-.f64 (.f64 0 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))) 0) (.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) 1)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (cos.f64 x) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 (pow.f64 eps 2) -1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
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(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (cos.f64 x))) (.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (cos.f64 x)))))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
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(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (cos.f64 x) -1/2) (.f64 (cos.f64 x) -1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))) (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
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(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2)))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) (.f64 (cos.f64 x) (pow.f64 eps 2))))))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (.f64 (pow.f64 eps 2) -1/2) (/.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (pow.f64 eps 2) -1/2) (/.f64 (cos.f64 x) (cos.f64 x)))))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2) -1)
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 eps 2)) 1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(neg.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) 1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
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(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(neg.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 (pow.f64 eps 2) -1/2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(neg.f64 (.f64 -1 (.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(neg.f64 (.f64 (.f64 (pow.f64 eps 2) 1/2) (cos.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (pow.f64 eps 2) -1/2))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`rational_best_45_simplify-73`
812×	`rational_best_45_simplify-71`
646×	`rational_best-4`
646×	`rational_best-2`
646×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	38	11
2	83	11
3	256	11
4	1177	11
5	5960	11

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -1) (*.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -1) (*.f64 0 (*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (*.f64 (cos.f64 eps) (/.f64 (+.f64 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simplify135.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational_best_45_simplify-84`
1070×	`rational_best_45_simplify-73`
996×	`rational_best_45_simplify-71`
892×	`rational_best_45_simplify-83`
524×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	1053
1	569	1053
2	4911	1053

Stop Event

1×	node limit

Counts

77 → 81

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)

Compiler

Compiled 10 to 4 computations (60% saved)

localize82.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (cos.f64 x))
✓	0.1b	(*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))
	3.4b	(cos.f64 (+.f64 x eps))
✓	6.0b	(-.f64 (cos.f64 (+.f64 x eps)) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (cos.f64 x)))

Compiler

Compiled 50 to 20 computations (60% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`rational_best_45_simplify-35`
814×	`rational_best_45_simplify-71`
626×	`rational_best_45_simplify-100`
572×	`rational_best-4`
572×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	79	53
2	258	53
3	1230	53
4	5610	53

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs

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

simplify230.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1270×	`rational_best_45_simplify-84`
1024×	`rational_best_45_simplify-25`
738×	`rational_best_45_simplify-100`
612×	`rational_best_45_simplify-37`
574×	`rational_best_45_simplify-91`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	285	3404
1	980	3374
2	4175	3374

Stop Event

1×	node limit

Counts

154 → 162

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 (.f64 61/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 0))
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 (.f64 (cos.f64 (+.f64 x eps)) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 0 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(*.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(.f64 (.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) -1)
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(+.f64 (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) 0)
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(+.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0))
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(+.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (fabs.f64 (/.f64 1 (cos.f64 x))) 0))
(+.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (fabs.f64 (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0))
(+.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0))
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(-.f64 (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) 0)
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 0 (cos.f64 x))))
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(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (fabs.f64 (/.f64 1 (cos.f64 x))) 0))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 1 (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 0 (cos.f64 x)))))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 0 (cos.f64 x)))))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 0 (cos.f64 x)))))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 0 (cos.f64 x)))))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (fabs.f64 (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (.f64 (fabs.f64 (/.f64 1 (cos.f64 x))) 0) (.f64 (fabs.f64 (/.f64 1 (cos.f64 x))) 0)))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (.f64 (.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x))) 0) (.f64 (.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x))) 0)))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0) (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0)))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (.f64 (.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x)))) 0) (.f64 (.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x)))) 0)))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0) (.f64 (fabs.f64 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0)))
(-.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (.f64 (neg.f64 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0) (.f64 (neg.f64 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) 0)))
(-.f64 0 (*.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))
(-.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 0 (cos.f64 x)))
(-.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))))) (.f64 (/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))) (/.f64 0 (cos.f64 x))))
(-.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))) (.f64 (/.f64 0 (cos.f64 x)) (/.f64 0 (cos.f64 x))))
(-.f64 (neg.f64 (/.f64 0 (cos.f64 x))) (*.f64 -1 (/.f64 (cos.f64 x) (cos.f64 x))))
(-.f64 (.f64 (/.f64 0 (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x)))) (*.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))
(-.f64 (.f64 0 (.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x)))) (.f64 (.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x))) (neg.f64 (cos.f64 x))))
(-.f64 (.f64 0 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))))) (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) (neg.f64 (cos.f64 x))))
(-.f64 (neg.f64 (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 0 (cos.f64 x)))) (*.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))
(-.f64 (-.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 0 (cos.f64 x)))) (/.f64 0 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))))
(/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 (/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))) (/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))))
(/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 (.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x))) (*.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x)))))
(/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))) (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))))))
(/.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (/.f64 (.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))) -1)
(neg.f64 (*.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))
(fabs.f64 (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))))
(fabs.f64 (*.f64 (cos.f64 x) (/.f64 -1 (cos.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 x)) (/.f64 1 (cos.f64 x))))
(fabs.f64 (.f64 (fabs.f64 (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x)))))
(fabs.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x)))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (/.f64 1 (cos.f64 x)))))
(fabs.f64 (*.f64 (/.f64 1 (cos.f64 x)) (fabs.f64 (cos.f64 x))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))) (fabs.f64 (cos.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (fabs.f64 (cos.f64 x))))
(+.f64 (/.f64 1 (cos.f64 x)) 0)
(+.f64 0 (/.f64 1 (cos.f64 x)))
(-.f64 (/.f64 1 (cos.f64 x)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (cos.f64 x))))
(*.f64 1 (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 x)) 1)
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1 (cos.f64 x)) (.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))) (/.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1 (cos.f64 x)) (.f64 (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1 (cos.f64 x)) (.f64 (*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))) (/.f64 1 (cos.f64 x)))
(.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))))))
(.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))))))
(*.f64 (neg.f64 (/.f64 1 (cos.f64 x))) -1)
(*.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x)))))
(*.f64 -1 (neg.f64 (/.f64 1 (cos.f64 x))))
(.f64 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 1 (cos.f64 x)))) (/.f64 1 (cos.f64 x)))
(.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x)))) (/.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 1 (cos.f64 x))))
(neg.f64 (neg.f64 (/.f64 1 (cos.f64 x))))

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (.f64 x (sin.f64 eps))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))
✓	0.1b	(.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
✓	0.1b	(*.f64 x (sin.f64 eps))
✓	1.4b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (neg.f64 (.f64 x (sin.f64 eps))) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x))

Compiler

Compiled 88 to 41 computations (53.4% saved)

series7.0ms (0%)

Counts

4 → 88

Calls

24 calls:

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

rewrite235.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`rational_best_45_simplify-100`
742×	`rational_best_45_simplify-71`
698×	`rational_best-4`
698×	`rational_best-2`
698×	`rational_best-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	140
1	116	132
2	355	128
3	1504	128
4	6699	128

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (cos.f64 x) (.f64 x (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (cos.f64 eps) (-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 x)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 (cos.f64 x) (cos.f64 eps))))))) 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#<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (.f64 x (sin.f64 eps))) (cos.f64 x)) (.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (.f64 x (sin.f64 eps))) (cos.f64 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (.f64 x (sin.f64 eps))) (cos.f64 x)) (.f64 (/.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (.f64 x (sin.f64 eps))) (cos.f64 x)) (-.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (.f64 x (sin.f64 eps))) (cos.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (.f64 x (sin.f64 eps))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (cos.f64 x)) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (cos.f64 x) (.f64 x (sin.f64 eps)))) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (cos.f64 x)) (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 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simplify189.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational_best_45_simplify-25`
1092×	`rational_best_45_simplify-100`
912×	`rational_best_45_simplify-37`
864×	`rational_best_45_simplify-91`
822×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	10618
1	1511	10212
2	6068	9992

Stop Event

1×	node limit

Counts

262 → 278

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) x)) (.f64 -1/5040 (*.f64 (pow.f64 eps 7) x)))))
(*.f64 -1/2 (pow.f64 x 2))
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(/.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (/.f64 (.f64 (/.f64 (cos.f64 eps) (cos.f64 eps)) (.f64 -1/2 (.f64 (pow.f64 x 2) (/.f64 (cos.f64 eps) (cos.f64 eps))))) (.f64 (/.f64 (cos.f64 eps) (cos.f64 eps)) (.f64 -1/2 (.f64 (pow.f64 x 2) (/.f64 (cos.f64 eps) (cos.f64 eps)))))))
(/.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (/.f64 (.f64 (cos.f64 eps) (/.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps))) (.f64 (cos.f64 eps) (/.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)))))
(/.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (/.f64 (.f64 (cos.f64 eps) -1/2) (.f64 (cos.f64 eps) -1/2)))
(/.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (/.f64 (.f64 (cos.f64 eps) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 (cos.f64 eps) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(/.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (/.f64 (/.f64 (.f64 (cos.f64 eps) (pow.f64 x 2)) (.f64 (cos.f64 eps) (pow.f64 x 2))) (/.f64 (.f64 (cos.f64 eps) (pow.f64 x 2)) (.f64 (cos.f64 eps) (pow.f64 x 2)))))
(neg.f64 (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (.f64 -1 (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))))
(neg.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (neg.f64 (pow.f64 x 2)))))
(neg.f64 (.f64 1 (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2))))
(neg.f64 (.f64 (/.f64 (cos.f64 eps) (cos.f64 eps)) (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2))))
(neg.f64 (.f64 1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(neg.f64 (.f64 (neg.f64 (.f64 -1/2 (*.f64 (pow.f64 x 2) (/.f64 (cos.f64 eps) (cos.f64 eps))))) (cos.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 -1 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2)))))
(-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps)))
(-.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))) 0)
(-.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))) 0))
(-.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) 0))
(-.f64 0 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2))))
(-.f64 0 (.f64 -1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (*.f64 x (sin.f64 eps))))
(-.f64 (.f64 0 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2)))))
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) 1)
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))))
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))))))
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))))))
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))))))
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (.f64 (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))))
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (.f64 (.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))))
(.f64 1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))
(.f64 -1 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2))))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps)))))))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps)))))))
(.f64 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2))) -1)
(.f64 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2))) (neg.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))))
(.f64 (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))))
(.f64 (.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2))))
(/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))) 1)
(/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps)))))
(/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))))))
(/.f64 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2))) -1)
(neg.f64 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2))))
(neg.f64 (.f64 -1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))))

Outputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (cos.f64 x)))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (-.f64 (.f64 -1 (*.f64 x eps)) (cos.f64 x)))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (cos.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) (cos.f64 x))
(+.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)))) (-.f64 (.f64 -1 (*.f64 x eps)) (cos.f64 x)))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 eps (neg.f64 x)) (cos.f64 x)))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) (cos.f64 x))
(+.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 eps 3) (.f64 1/6 x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2))))) (-.f64 (.f64 -1 (*.f64 x eps)) (cos.f64 x)))
(+.f64 (.f64 eps (neg.f64 x)) (-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)) (.f64 (pow.f64 eps 3) (.f64 x 1/6))))) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
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(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (.f64 (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (.f64 (.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 -1 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps)))))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps)))))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2))) -1)
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2))) (neg.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 (.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))))) (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))) 1)
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps)))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))) (/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps))) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(/.f64 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2))) -1)
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(neg.f64 (+.f64 (.f64 x (sin.f64 eps)) (.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(neg.f64 (.f64 -1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 x (sin.f64 eps)))))
(+.f64 (.f64 x (.f64 -1 (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 x 2) (cos.f64 eps))))
(+.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))

eval536.0ms (3.3%)

Compiler: Compiled 25878 to 11594 computations (55.2% saved)

prune264.0ms (1.6%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	915	19	934
Fresh	10	4	14
Picked	1	0	1
Done	2	3	5
Total	928	26	954

Error

12.4b

Counts

954 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	42.6b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
	42.7b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
	42.1b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	41.2b	(-.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps))) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (cos.f64 x)))
	42.6b	(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
✓	41.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	55.1b	(-.f64 (cos.f64 x) 1)
	40.8b	(-.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (cos.f64 x)))
▶	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.2b	(-.f64 (cos.f64 eps) 1)
▶	54.7b	(-.f64 1 (cos.f64 x))
	39.3b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 x)))
	44.7b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x)))
▶	39.1b	(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
	38.7b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (neg.f64 x)))
	39.3b	(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))))
	50.3b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
▶	50.3b	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
	47.5b	(+.f64 (neg.f64 (+.f64 (.f64 eps x) (.f64 -1/6 (.f64 eps (pow.f64 x 3))))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
▶	29.5b	(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) -1/2))
✓	29.3b	(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
	48.6b	(.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
	48.4b	(.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
	35.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
	50.1b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 819 to 569 computations (30.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.0b	(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) -1/2))
✓	0.0b	(*.f64 (pow.f64 eps 2) -1/2)
	0.1b	(*.f64 eps (sin.f64 x))

Compiler

Compiled 36 to 18 computations (50% saved)

series7.0ms (0%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) -1/2))
0.0ms	eps	@	inf	(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) -1/2))
0.0ms	eps	@	inf	(*.f64 (pow.f64 eps 2) -1/2)
0.0ms	x	@	inf	(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) -1/2))
0.0ms	eps	@	0	(*.f64 (pow.f64 eps 2) -1/2)

rewrite111.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1944×	`rational_best-4`
1944×	`rational_best-2`
1944×	`rational_best-3`
1944×	`rational_best-1`
488×	`rational_best_45_simplify-71`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	82	47
2	235	47
3	958	47
4	4105	47

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(*.f64 (pow.f64 eps 2) -1/2)
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) -1/2))
(sin.f64 x)

Outputs

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

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

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

simplify150.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1114×	`rational_best_45_simplify-83`
916×	`rational_best_45_simplify-84`
908×	`rational_best_45_simplify-1`
780×	`rational_best_45_simplify-25`
658×	`rational_best_45_simplify-98`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2471
1	612	2371
2	2774	2187
3	7290	2187

Stop Event

1×	node limit

Counts

109 → 101

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (*.f64 eps (pow.f64 x 3))))))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 (*.f64 (pow.f64 eps 2) -1/2) 0)
(+.f64 0 (*.f64 (pow.f64 eps 2) -1/2))
(+.f64 (.f64 0 (.f64 (pow.f64 eps 2) (/.f64 -1/2 (pow.f64 eps 2)))) (*.f64 (pow.f64 eps 2) -1/2))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 (*.f64 (pow.f64 eps 2) -1/2) 0)
(-.f64 0 (*.f64 (pow.f64 eps 2) 1/2))
(/.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)
(/.f64 (*.f64 (pow.f64 eps 2) -1/2) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))
(/.f64 (.f64 (pow.f64 eps 2) -1/2) (/.f64 (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))))
(/.f64 (*.f64 (pow.f64 eps 2) -1/2) (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))
(/.f64 (.f64 (pow.f64 eps 2) -1/2) (/.f64 (.f64 (pow.f64 eps 2) (/.f64 -1/2 (pow.f64 eps 2))) (*.f64 (pow.f64 eps 2) (/.f64 -1/2 (pow.f64 eps 2)))))
(/.f64 (.f64 (pow.f64 eps 2) -1/2) (/.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))))
(/.f64 (*.f64 (pow.f64 eps 2) 1/2) -1)
(neg.f64 (*.f64 (pow.f64 eps 2) 1/2))
(-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (pow.f64 eps 2) 1/2))
(-.f64 (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (.f64 0 (/.f64 (.f64 eps (sin.f64 x)) (.f64 eps (sin.f64 x)))) (*.f64 (pow.f64 eps 2) -1/2)))
(-.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) 0)
(-.f64 0 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)))
(-.f64 (.f64 (.f64 (pow.f64 eps 2) -1/2) (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)))) (.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (.f64 eps (sin.f64 x))))
(-.f64 (.f64 0 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)))) (.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))))
(.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (*.f64 eps (sin.f64 x))) 1)
(.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2))))
(.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 1 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))))))
(.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)))))
(.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))))))
(.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (.f64 (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 1 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))))) (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))))
(.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (.f64 (.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)))) (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))))
(.f64 1 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (*.f64 eps (sin.f64 x))))
(.f64 -1 (+.f64 (.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))
(.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (-.f64 (.f64 (pow.f64 eps 2) -1/2) (*.f64 eps (sin.f64 x))))
(.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 1 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))))))
(.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))))))
(.f64 (+.f64 (.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)) -1)
(.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (neg.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))))
(.f64 (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 1 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))))) (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)))) (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)))) (+.f64 (.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 2) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) 1)
(/.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2))) (/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)))))
(/.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)) -1)
(neg.f64 (+.f64 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 2) 1/2)))
(+.f64 (sin.f64 x) 0)
(+.f64 0 (sin.f64 x))
(-.f64 (sin.f64 x) 0)
(-.f64 0 (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) 1)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 1 (sin.f64 x))
(*.f64 -1 (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 x)))))
(.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (neg.f64 (sin.f64 x)) -1)
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (sin.f64 x))
(.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) 1)
(/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) -1)
(neg.f64 (neg.f64 (sin.f64 x)))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 -1 (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (.f64 -1 x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (neg.f64 (.f64 eps x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 eps (.f64 -1 x)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (neg.f64 (.f64 eps x)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 eps (neg.f64 x)) (.f64 (pow.f64 x 3) (.f64 1/6 eps))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (*.f64 eps (pow.f64 x 3))))))
(+.f64 (.f64 eps (.f64 -1 x)) (+.f64 (.f64 eps (.f64 -1/120 (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (*.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 (neg.f64 (.f64 eps x)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (.f64 -1/120 (pow.f64 x 5))))))
(+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (pow.f64 x 3) (.f64 1/6 eps))) (+.f64 (.f64 (pow.f64 x 5) (.f64 -1/120 eps)) (.f64 -1/2 (pow.f64 eps 2))))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 eps (.f64 -1 (sin.f64 x))) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -1/2 (pow.f64 eps 2)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 x (.f64 (pow.f64 x 5) 1/120)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 5) 1/120)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
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(sin.f64 x)
(.f64 (sin.f64 x) (.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (sin.f64 x))))
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 -1 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))
(sin.f64 x)
(.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 x)))))
(sin.f64 x)
(.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))))
(sin.f64 x)
(*.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 x))))
(sin.f64 x)
(.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (sin.f64 x))
(sin.f64 x)
(.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(sin.f64 x)
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(sin.f64 x)
(/.f64 (sin.f64 x) 1)
(sin.f64 x)
(/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))
(sin.f64 x)
(/.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))))
(sin.f64 x)
(/.f64 (neg.f64 (sin.f64 x)) -1)
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	1.9b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`rational_best_45_simplify-73`
804×	`rational_best_45_simplify-71`
644×	`rational_best_45_simplify-67`
632×	`rational_best-4`
632×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	36	11
2	78	11
3	258	11
4	1181	11
5	5925	11

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational_best_45_simplify-70`
938×	`rational_best_45_simplify-84`
854×	`rational_best_45_simplify-71`
726×	`rational_best_45_simplify-73`
494×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	136	953
1	515	921
2	4082	921

Stop Event

1×	node limit

Counts

67 → 70

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	2.3b	(-.f64 (cos.f64 eps) (cos.f64 x))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`rational_best_45_simplify-71`
850×	`rational_best-4`
850×	`rational_best-2`
850×	`rational_best-3`
850×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	42	15
2	100	15
3	333	15
4	1543	15
5	7920	15

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) (cos.f64 x))

Outputs

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

simplify152.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1096×	`rational_best_45_simplify-71`
908×	`rational_best_45_simplify-67`
872×	`rational_best_45_simplify-99`
826×	`rational_best_45_simplify-76`
688×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	187	1615
1	780	1339
2	5736	1339

Stop Event

1×	node limit

Counts

77 → 92

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 eps 2))
✓	0.1b	(*.f64 1/24 (pow.f64 eps 4))
✓	0.3b	(*.f64 -1/720 (pow.f64 eps 6))
✓	22.0b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))

Compiler

Compiled 61 to 49 computations (19.7% saved)

series2.0ms (0%)

Counts

4 → 3

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))
0.0ms	eps	@	inf	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))
0.0ms	eps	@	inf	(*.f64 -1/720 (pow.f64 eps 6))
0.0ms	eps	@	0	(*.f64 -1/720 (pow.f64 eps 6))
0.0ms	eps	@	inf	(*.f64 1/24 (pow.f64 eps 4))

rewrite136.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`rational_best-4`
1316×	`rational_best-2`
1316×	`rational_best-3`
1316×	`rational_best-1`
1002×	`rational_best_45_simplify-98`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	89	70
2	182	70
3	569	70
4	2635	70
5	7991	70

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

Inputs
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))
(*.f64 -1/720 (pow.f64 eps 6))
(*.f64 1/24 (pow.f64 eps 4))
(*.f64 -1/2 (pow.f64 eps 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (pow.f64 eps 6) 1/720))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 eps 4) -1/24) (.f64 (pow.f64 eps 4) -1/24))) (.f64 (pow.f64 eps 6) 1/720)) (.f64 (/.f64 (.f64 (pow.f64 eps 4) -1/24) (.f64 (pow.f64 eps 4) -1/24)) (.f64 (pow.f64 eps 4) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 0 (/.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 (pow.f64 eps 4) -1/24)) (.f64 (/.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 -1/720 (pow.f64 eps 6))) (.f64 (pow.f64 eps 6) 1/720)))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/24 (pow.f64 eps 4))) (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/24 (pow.f64 eps 4)))) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/24 (pow.f64 eps 4))) (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6))) (/.f64 1 (/.f64 (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/24 (pow.f64 eps 4))) (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/24 (pow.f64 eps 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/24 (pow.f64 eps 4))) (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6))) (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 1/24 (pow.f64 eps 4))) 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simplify141.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

906×	`rational_best_45_simplify-67`
902×	`rational_best_45_simplify-1`
760×	`rational_best_45_simplify-71`
712×	`rational_best_45_simplify-99`
704×	`rational_best_45_simplify-39`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	4701
1	600	4697
2	2575	4643
3	6943	4643

Stop Event

1×	node limit

Counts

103 → 127

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
✓	2.2b	(+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))
✓	2.2b	(+.f64 (cos.f64 eps) -1)
✓	8.0b	(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))

Compiler

Compiled 83 to 46 computations (44.6% saved)

series4.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite127.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`rational_best_45_simplify-73`
760×	`rational_best_45_simplify-100`
694×	`rational_best_45_simplify-71`
676×	`rational_best-4`
676×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	72
1	113	72
2	332	72
3	1457	72
4	6307	72

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

Outputs
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simplify162.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1304×	`rational_best_45_simplify-84`
1120×	`rational_best_45_simplify-100`
924×	`rational_best_45_simplify-37`
878×	`rational_best_45_simplify-91`
710×	`rational_best_45_simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	363	7585
1	1280	7169
2	4834	7169

Stop Event

1×	node limit

Counts

227 → 230

Calls

Call 1

Inputs
(.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/80640 (.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
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(+.f64 (.f64 0 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 x)))
(+.f64 (.f64 0 (.f64 (sin.f64 eps) (/.f64 x x))) (*.f64 (sin.f64 eps) (neg.f64 x)))
(+.f64 (.f64 0 (.f64 (sin.f64 eps) (/.f64 (neg.f64 x) (sin.f64 eps)))) (*.f64 (sin.f64 eps) (neg.f64 x)))
(+.f64 (.f64 0 (.f64 (.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (sin.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 0)
(-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 0 (.f64 0 (*.f64 (sin.f64 eps) (/.f64 x x)))))
(-.f64 0 (*.f64 x (sin.f64 eps)))
(-.f64 0 (.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 x (sin.f64 eps))))
(-.f64 0 (-.f64 (.f64 x (sin.f64 eps)) (.f64 0 (*.f64 (sin.f64 eps) (/.f64 x x)))))
(-.f64 (.f64 0 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps)))) (.f64 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))) (*.f64 x (sin.f64 eps))))
(-.f64 (.f64 0 (.f64 (sin.f64 eps) (/.f64 x x))) (*.f64 x (sin.f64 eps)))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps)))) 0) (.f64 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))) (*.f64 x (sin.f64 eps))))
(-.f64 (-.f64 (.f64 0 (.f64 (sin.f64 eps) (/.f64 x x))) 0) (*.f64 x (sin.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 1)
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (sin.f64 eps) (sin.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 x x))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 x (sin.f64 eps)) (*.f64 x (sin.f64 eps))))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps))) (*.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))) (/.f64 (.f64 x (sin.f64 eps)) (*.f64 x (sin.f64 eps)))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 (sin.f64 eps) (/.f64 (neg.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 eps) (/.f64 (neg.f64 x) (sin.f64 eps)))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 (.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)))) (.f64 (*.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (sin.f64 eps))))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 (sin.f64 eps) (/.f64 x x)) (*.f64 (sin.f64 eps) (/.f64 x x))))
(/.f64 (*.f64 x (sin.f64 eps)) -1)
(neg.f64 (*.f64 x (sin.f64 eps)))
(neg.f64 (.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 x (sin.f64 eps))))

Outputs
(.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(.f64 (pow.f64 eps 2) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 1/4 (pow.f64 x 2))) (.f64 (pow.f64 eps 4) (.f64 -1/48 (pow.f64 x 2))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 2) -1/48)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1/48 (.f64 (pow.f64 x 2) (pow.f64 eps 4))))
(+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 eps 4) (.f64 -1/48 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 1/1440 (pow.f64 x 2))) (.f64 (pow.f64 eps 2) (.f64 1/4 (pow.f64 x 2)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (pow.f64 x 2) 1/1440)) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 2) -1/48))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 x 2) (pow.f64 eps 4))) (.f64 1/1440 (.f64 (pow.f64 x 2) (pow.f64 eps 6)))))
(+.f64 (.f64 -1/80640 (.f64 (pow.f64 eps 8) (pow.f64 x 2))) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 4) (.f64 -1/48 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 1/1440 (pow.f64 x 2))) (.f64 (pow.f64 eps 2) (.f64 1/4 (pow.f64 x 2))))) (.f64 -1/80640 (.f64 (pow.f64 x 2) (pow.f64 eps 8))))
(+.f64 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 2) -1/48)) (+.f64 (.f64 -1/80640 (.f64 (pow.f64 x 2) (pow.f64 eps 8))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 (pow.f64 eps 6) (.f64 (pow.f64 x 2) 1/1440)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1/80640 (.f64 (pow.f64 x 2) (pow.f64 eps 8))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 x 2) (pow.f64 eps 4))) (.f64 1/1440 (.f64 (pow.f64 x 2) (pow.f64 eps 6))))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) -1/2)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 (pow.f64 eps 4) 1/24))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 (pow.f64 eps 2) -1/2) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (*.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 (pow.f64 eps 2) -1/2) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (+.f64 (.f64 (pow.f64 eps 6) -1/720) (.f64 (pow.f64 eps 8) 1/40320))))
(+.f64 (.f64 (pow.f64 eps 2) -1/2) (+.f64 (.f64 (pow.f64 eps 8) 1/40320) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 (pow.f64 eps 6) -1/720))))
(+.f64 (.f64 (pow.f64 eps 4) 1/24) (+.f64 (.f64 (pow.f64 eps 2) -1/2) (+.f64 (.f64 (pow.f64 eps 6) -1/720) (.f64 (pow.f64 eps 8) 1/40320))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 1/1440 (pow.f64 eps 6)) (.f64 -1/80640 (pow.f64 eps 8)))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (pow.f64 eps 6)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (.f64 -1/80640 (pow.f64 eps 8)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1 (.f64 eps x))
(.f64 eps (.f64 -1 x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 eps (.f64 -1 x)) (.f64 (pow.f64 eps 3) (.f64 1/6 x)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 (pow.f64 eps 3) (*.f64 x 1/6)))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 1/6 (*.f64 x (pow.f64 eps 3))))
(+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 (pow.f64 eps 3) x))))
(+.f64 (.f64 eps (.f64 -1 x)) (+.f64 (.f64 (pow.f64 eps 5) (.f64 -1/120 x)) (.f64 (pow.f64 eps 3) (.f64 1/6 x))))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 (pow.f64 eps 3) (.f64 x 1/6)) (.f64 (pow.f64 eps 5) (*.f64 x -1/120))))
(+.f64 (.f64 1/6 (.f64 x (pow.f64 eps 3))) (+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/120 (*.f64 x (pow.f64 eps 5)))))
(+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 1/5040 (.f64 (pow.f64 eps 7) x)) (+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 (pow.f64 eps 3) x)))))
(+.f64 (.f64 (pow.f64 eps 5) (.f64 -1/120 x)) (+.f64 (.f64 eps (.f64 -1 x)) (+.f64 (.f64 1/5040 (.f64 x (pow.f64 eps 7))) (.f64 (pow.f64 eps 3) (.f64 1/6 x)))))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 (pow.f64 eps 7) (.f64 x 1/5040)) (+.f64 (.f64 (pow.f64 eps 3) (.f64 x 1/6)) (.f64 (pow.f64 eps 5) (*.f64 x -1/120)))))
(+.f64 (.f64 eps (neg.f64 x)) (+.f64 (.f64 1/6 (.f64 x (pow.f64 eps 3))) (+.f64 (.f64 -1/120 (.f64 x (pow.f64 eps 5))) (.f64 1/5040 (*.f64 x (pow.f64 eps 7))))))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) 0)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 0 (/.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 0 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 0 (.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (.f64 (pow.f64 x 2) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (.f64 0 (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(+.f64 0 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))
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(.f64 (.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (+.f64 (cos.f64 eps) -1))
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(/.f64 (+.f64 (cos.f64 eps) -1) 1)
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(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
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(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))
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(-.f64 (*.f64 -1/2 (cos.f64 eps)) -1/2)
(-.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 0)
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(-.f64 0 (-.f64 (*.f64 1/2 (cos.f64 eps)) 1/2))
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(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) 1)
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(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))))
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(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))
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(.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))))
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(.f64 -1 (-.f64 (.f64 1/2 (cos.f64 eps)) 1/2))
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(.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
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(.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))
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(.f64 (-.f64 (.f64 1/2 (cos.f64 eps)) 1/2) -1)
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(.f64 (-.f64 (.f64 1/2 (cos.f64 eps)) 1/2) (neg.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))))
(.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (-.f64 1/2 (.f64 1/2 (cos.f64 eps))))
(.f64 (-.f64 (.f64 1/2 (cos.f64 eps)) 1/2) (.f64 (neg.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))
(.f64 (-.f64 (.f64 1/2 (cos.f64 eps)) 1/2) (.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (neg.f64 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))
(.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 1 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))
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(.f64 (neg.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (-.f64 (.f64 1/2 (cos.f64 eps)) 1/2))
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(.f64 (.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))
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(/.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) 1)
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(/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))
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(/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))
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(/.f64 (-.f64 (*.f64 1/2 (cos.f64 eps)) 1/2) -1)
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(-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 0)
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 0 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps)))))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 0 (*.f64 (sin.f64 eps) (/.f64 x x))))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 0 (*.f64 (sin.f64 eps) (/.f64 (neg.f64 x) (sin.f64 eps)))))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 0 (.f64 (.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (sin.f64 eps))))))
(neg.f64 (*.f64 x (sin.f64 eps)))
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(+.f64 (.f64 0 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 x)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (.f64 0 (.f64 (sin.f64 eps) (/.f64 x x))) (*.f64 (sin.f64 eps) (neg.f64 x)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (.f64 0 (.f64 (sin.f64 eps) (/.f64 (neg.f64 x) (sin.f64 eps)))) (*.f64 (sin.f64 eps) (neg.f64 x)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (.f64 0 (.f64 (.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (sin.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 x)))
(neg.f64 (*.f64 x (sin.f64 eps)))
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(-.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 0)
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(*.f64 (sin.f64 eps) (neg.f64 x))
(-.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (-.f64 0 (.f64 0 (*.f64 (sin.f64 eps) (/.f64 x x)))))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(-.f64 0 (*.f64 x (sin.f64 eps)))
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(*.f64 (sin.f64 eps) (neg.f64 x))
(-.f64 0 (.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 x (sin.f64 eps))))
(neg.f64 (.f64 x (.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)) (sin.f64 eps))))
(neg.f64 (.f64 x (.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (sin.f64 eps)))))
(-.f64 0 (-.f64 (.f64 x (sin.f64 eps)) (.f64 0 (*.f64 (sin.f64 eps) (/.f64 x x)))))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(-.f64 (.f64 0 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps)))) (.f64 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))) (*.f64 x (sin.f64 eps))))
(.f64 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))) (neg.f64 (.f64 x (sin.f64 eps))))
(.f64 (neg.f64 (.f64 x (sin.f64 eps))) (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))))
(.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))))
(-.f64 (.f64 0 (.f64 (sin.f64 eps) (/.f64 x x))) (*.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps)))) 0) (.f64 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))) (*.f64 x (sin.f64 eps))))
(.f64 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))) (neg.f64 (.f64 x (sin.f64 eps))))
(.f64 (neg.f64 (.f64 x (sin.f64 eps))) (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))))
(.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))))
(-.f64 (-.f64 (.f64 0 (.f64 (sin.f64 eps) (/.f64 x x))) 0) (*.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 1)
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(*.f64 (sin.f64 eps) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 x x))
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(*.f64 (sin.f64 eps) (neg.f64 x))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 x (sin.f64 eps)) (*.f64 x (sin.f64 eps))))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps))) (*.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (/.f64 (.f64 x (sin.f64 eps)) (.f64 x (sin.f64 eps))) (/.f64 (.f64 x (sin.f64 eps)) (*.f64 x (sin.f64 eps)))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 (sin.f64 eps) (/.f64 (neg.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 eps) (/.f64 (neg.f64 x) (sin.f64 eps)))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 (.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)))) (.f64 (*.f64 x (/.f64 (sin.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (sin.f64 eps))))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (/.f64 (.f64 (sin.f64 eps) (/.f64 x x)) (*.f64 (sin.f64 eps) (/.f64 x x))))
(/.f64 (*.f64 x (sin.f64 eps)) -1)
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(neg.f64 (.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 x (sin.f64 eps))))
(neg.f64 (.f64 x (.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)) (sin.f64 eps))))
(neg.f64 (.f64 x (.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (sin.f64 eps)))))

eval499.0ms (3%)

Compiler: Compiled 22839 to 13244 computations (42% saved)

prune359.0ms (2.2%)

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	781	9	790
Fresh	2	16	18
Picked	0	1	1
Done	1	6	7
Total	784	32	816

Error

12.4b

Counts

816 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	42.6b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
	42.7b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
	42.1b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	41.2b	(-.f64 (.f64 (.f64 (cos.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps))) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (cos.f64 x)))
	42.6b	(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
✓	41.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	55.1b	(-.f64 (cos.f64 x) 1)
▶	40.8b	(-.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (cos.f64 x)))
✓	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.2b	(-.f64 (cos.f64 eps) 1)
✓	54.7b	(-.f64 1 (cos.f64 x))
▶	55.8b	(-.f64 1 1)
	39.3b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 x)))
	44.7b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x)))
	39.2b	(+.f64 (-.f64 (.f64 1/2 (cos.f64 eps)) (-.f64 (.f64 (cos.f64 eps) -1/2) -1)) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
✓	39.1b	(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
▶	38.7b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (neg.f64 x)))
	39.3b	(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))))
	47.1b	(+.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))) (.f64 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (cos.f64 eps)))
	47.1b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	50.3b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	47.5b	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 eps (neg.f64 x)) (.f64 (pow.f64 x 3) (.f64 1/6 eps))))
✓	50.3b	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
▶	29.6b	(+.f64 (neg.f64 (.f64 eps (.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (sin.f64 x)))) (.f64 (pow.f64 eps 2) -1/2))
✓	29.3b	(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
	35.6b	(.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 1 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))))))
▶	47.1b	(.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
	61.4b	(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
	48.4b	(.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
	35.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
	50.1b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 1036 to 702 computations (32.2% saved)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (pow.f64 eps 2) -1/2)
✓	0.1b	(/.f64 1 (sin.f64 x))
✓	0.1b	(.f64 eps (.f64 (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (sin.f64 x)))
✓	0.2b	(*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))

Compiler

Compiled 82 to 43 computations (47.6% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite255.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`rational_best_45_simplify-71`
954×	`rational_best_45_simplify-100`
888×	`rational_best_45_simplify-67`
736×	`rational_best-4`
736×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	75	43
2	310	43
3	1604	43
4	7575	43

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))
(.f64 eps (.f64 (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (sin.f64 x)))
(/.f64 1 (sin.f64 x))

Outputs

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simplify281.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1426×	`rational_best_45_simplify-84`
984×	`rational_best_45_simplify-25`
958×	`rational_best_45_simplify-100`
778×	`rational_best_45_simplify-37`
736×	`rational_best_45_simplify-91`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	327	3857
1	1117	3725
2	4517	3725

Stop Event

1×	node limit

Counts

191 → 189

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps x)
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(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
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(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (sin.f64 x)))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (sin.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 x))) -1)
(*.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(*.f64 -1 (neg.f64 (/.f64 1 (sin.f64 x))))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (neg.f64 (/.f64 1 (sin.f64 x))))
(neg.f64 (neg.f64 (/.f64 1 (sin.f64 x))))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(*.f64 eps (sin.f64 x))
(*.f64 eps (sin.f64 x))
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(*.f64 eps (sin.f64 x))
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(*.f64 eps (sin.f64 x))
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(*.f64 eps (sin.f64 x))
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(.f64 eps (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
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(*.f64 eps (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) eps) (.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 eps eps))) 0))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) eps) (.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0))
(*.f64 eps (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) eps))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 0 (.f64 (sin.f64 x) (.f64 (/.f64 1 (sin.f64 x)) eps))) (.f64 (sin.f64 x) eps))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 0 (.f64 eps (/.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) eps))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 0 (/.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) eps))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 0 (.f64 (/.f64 eps eps) (.f64 (sin.f64 x) (/.f64 eps eps)))) (.f64 (sin.f64 x) eps))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 0 (.f64 eps (/.f64 (sin.f64 x) eps))) (*.f64 (sin.f64 x) eps))
(*.f64 eps (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) eps) 0)
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (sin.f64 x) eps) (.f64 (.f64 (/.f64 eps eps) (.f64 (sin.f64 x) (/.f64 eps eps))) 0))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (sin.f64 x) eps) (.f64 (.f64 (sin.f64 x) (.f64 (/.f64 1 (sin.f64 x)) eps)) 0))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (sin.f64 x) eps) (.f64 (/.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps)) 0))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (sin.f64 x) eps) (.f64 (*.f64 eps (/.f64 (sin.f64 x) (sin.f64 x))) 0))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (sin.f64 x) eps) (.f64 (*.f64 eps (/.f64 (sin.f64 x) eps)) 0))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) (*.f64 eps (/.f64 0 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (sin.f64 x) eps) (.f64 (.f64 (sin.f64 x) eps) (.f64 (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (/.f64 0 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (sin.f64 x) eps) (.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 eps eps))) 0))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (sin.f64 x) eps) (.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0))
(*.f64 eps (sin.f64 x))
(-.f64 0 (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 eps (sin.f64 x))
(-.f64 0 (.f64 1 (.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 eps (sin.f64 x))
(-.f64 0 (.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 eps (sin.f64 x))
(-.f64 0 (.f64 (.f64 (sin.f64 x) eps) (*.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(-.f64 0 (.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))) (.f64 (sin.f64 x) (neg.f64 eps))))
(neg.f64 (.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))) (.f64 (sin.f64 x) (neg.f64 eps))))
(neg.f64 (.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 0 (.f64 (/.f64 eps eps) (.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 eps (sin.f64 x))
(-.f64 0 (.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(-.f64 0 (.f64 -1 (.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(-.f64 0 (.f64 (.f64 (sin.f64 x) (neg.f64 (/.f64 eps eps))) eps))
(*.f64 eps (sin.f64 x))
(-.f64 0 (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(-.f64 0 (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))))))
(neg.f64 (.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))) (.f64 (sin.f64 x) (neg.f64 eps))))
(neg.f64 (.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 (.f64 (.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (sin.f64 x))) (.f64 (.f64 (sin.f64 x) eps) (/.f64 0 (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (sin.f64 x))) (.f64 1 (.f64 (*.f64 (sin.f64 x) eps) (/.f64 0 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (.f64 (.f64 (sin.f64 x) eps) (/.f64 0 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))))) (.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))) (.f64 (.f64 (sin.f64 x) eps) (/.f64 0 (sin.f64 x)))))
(.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))) (-.f64 (.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (.f64 eps (sin.f64 x))) (.f64 (/.f64 0 (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 eps eps)) (.f64 (/.f64 eps eps) (.f64 (.f64 (sin.f64 x) eps) (/.f64 0 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (.f64 eps (/.f64 (sin.f64 x) (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 eps eps))) (.f64 (.f64 (sin.f64 x) (/.f64 eps eps)) (.f64 eps (/.f64 0 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 0 (.f64 (sin.f64 x) (.f64 (/.f64 1 (sin.f64 x)) eps))) (.f64 (.f64 (sin.f64 x) (.f64 (/.f64 1 (sin.f64 x)) eps)) (neg.f64 (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 0 (.f64 eps (/.f64 (sin.f64 x) (sin.f64 x)))) (.f64 (.f64 eps (/.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 0 (/.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps))) (.f64 (/.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps)) (*.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps))) (.f64 (/.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps)) (.f64 (.f64 (sin.f64 x) eps) (/.f64 0 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(-.f64 (.f64 (/.f64 0 (sin.f64 x)) (.f64 (sin.f64 x) (neg.f64 eps))) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (/.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) eps) 1)
(*.f64 eps (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) eps) (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) eps) (/.f64 eps eps))
(*.f64 eps (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 eps (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) eps) (/.f64 (.f64 (sin.f64 x) eps) (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) eps) (/.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))) (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))))))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))) (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))))))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (/.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))))))
(/.f64 (.f64 (sin.f64 x) eps) (/.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (sin.f64 x) eps) (/.f64 (.f64 (sin.f64 x) (/.f64 eps eps)) (*.f64 (sin.f64 x) (/.f64 eps eps))))
(*.f64 eps (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (/.f64 eps eps) (/.f64 eps eps)))
(*.f64 eps (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) eps) (/.f64 (.f64 (/.f64 eps eps) (.f64 (sin.f64 x) (/.f64 eps eps))) (.f64 (/.f64 eps eps) (*.f64 (sin.f64 x) (/.f64 eps eps)))))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 eps eps) (/.f64 eps eps))) (.f64 (sin.f64 x) (*.f64 (/.f64 eps eps) (/.f64 eps eps)))))
(/.f64 (.f64 (sin.f64 x) eps) (/.f64 (.f64 eps (/.f64 (sin.f64 x) eps)) (*.f64 eps (/.f64 (sin.f64 x) eps))))
(/.f64 (.f64 eps (sin.f64 x)) (/.f64 (.f64 eps (/.f64 (sin.f64 x) eps)) (*.f64 eps (/.f64 (sin.f64 x) eps))))
(/.f64 (.f64 (sin.f64 x) eps) (/.f64 (/.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps)) (/.f64 (.f64 (sin.f64 x) eps) (*.f64 (sin.f64 x) eps))))
(*.f64 eps (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) eps) (/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 1 (sin.f64 x)) eps)) (.f64 (sin.f64 x) (*.f64 (/.f64 1 (sin.f64 x)) eps))))
(*.f64 eps (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) eps) (/.f64 (.f64 eps (/.f64 (sin.f64 x) (sin.f64 x))) (*.f64 eps (/.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) -1)
(*.f64 eps (sin.f64 x))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 eps (sin.f64 x))
(neg.f64 (.f64 1 (.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 eps (sin.f64 x))
(neg.f64 (.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 eps (sin.f64 x))
(neg.f64 (.f64 (.f64 (sin.f64 x) eps) (*.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(neg.f64 (.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))) (.f64 (sin.f64 x) (neg.f64 eps))))
(neg.f64 (.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (.f64 eps (neg.f64 (sin.f64 x)))))
(neg.f64 (.f64 (/.f64 eps eps) (.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 eps (sin.f64 x))
(neg.f64 (.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(neg.f64 (.f64 -1 (.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(neg.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 (/.f64 eps eps))) eps))
(*.f64 eps (sin.f64 x))
(neg.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(neg.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))))))
(neg.f64 (.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 -1 (sin.f64 x)))) (.f64 (sin.f64 x) (neg.f64 eps))))
(neg.f64 (.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (.f64 eps (neg.f64 (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(+.f64 0 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(-.f64 0 (neg.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(*.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (sin.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 1 (sin.f64 x)) (.f64 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))))
(/.f64 1 (sin.f64 x))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 x))) -1)
(/.f64 1 (sin.f64 x))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(*.f64 -1 (neg.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) (neg.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(neg.f64 (neg.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))

localize4.0ms (0%)

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

localize63.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (neg.f64 x)))
	0.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
	2.2b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 30 to 12 computations (60% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2078×	`rational_best-4`
2078×	`rational_best-2`
2078×	`rational_best-3`
2078×	`rational_best-1`
946×	`rational_best_45_simplify-25`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	73	31
2	205	27
3	840	27
4	3907	27

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (neg.f64 x)))

Outputs

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

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1182×	`rational_best_45_simplify-80`
1106×	`rational_best_45_simplify-108`
910×	`rational_best_45_simplify-25`
862×	`rational_best_45_simplify-98`
642×	`rational_best_45_simplify-105`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	1777
1	394	1731
2	2752	1731

Stop Event

1×	node limit

Counts

61 → 65

Calls

Call 1

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

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

localize65.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
	0.1b	(/.f64 1 (cos.f64 x))
	0.1b	(*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))
✓	2.3b	(-.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (cos.f64 x)))

Compiler

Compiled 43 to 19 computations (55.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite141.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`rational_best_45_simplify-35`
790×	`rational_best_45_simplify-71`
614×	`rational_best_45_simplify-100`
594×	`rational_best_45_simplify-67`
552×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	73	15
2	249	15
3	1205	15
4	5510	15

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify214.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational_best_45_simplify-100`
1222×	`rational_best_45_simplify-91`
916×	`rational_best_45_simplify-37`
794×	`rational_best_45_simplify-83`
776×	`rational_best_45_simplify-108`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	994
1	327	994
2	1579	994
3	7703	994

Stop Event

1×	node limit

Counts

54 → 57

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	0.2b	(/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
✓	0.2b	(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	2.3b	(-.f64 (cos.f64 eps) (cos.f64 x))

Compiler

Compiled 53 to 15 computations (71.7% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite341.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`rational_best_45_simplify-35`
1030×	`rational_best_45_simplify-25`
612×	`rational_best_45_simplify-80`
496×	`rational_best_45_simplify-73`
378×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	62
1	63	62
2	184	62
3	808	62
4	4095	62

Stop Event

1×	node limit

Counts

2 → 186

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 0 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 0 (/.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 0 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule 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simplify355.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1080×	`rational_best_45_simplify-84`
856×	`rational_best_45_simplify-100`
712×	`rational_best_45_simplify-37`
672×	`rational_best_45_simplify-91`
534×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	448	11768
1	1254	11766
2	4204	11766

Stop Event

1×	node limit

Counts

218 → 218

Calls

Call 1

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

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

eval752.0ms (4.6%)

Compiler: Compiled 46021 to 15226 computations (66.9% saved)

prune680.0ms (4.1%)

Pruning

44 alts after pruning (34 fresh and 10 done)

	Pruned	Kept	Total
New	1362	17	1379
Fresh	3	17	20
Picked	1	0	1
Done	1	10	11
Total	1367	44	1411

Error

12.2b

Counts

1411 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	42.6b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
	42.7b	(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
	42.1b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	38.7b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) x))
	42.6b	(-.f64 (.f64 (cos.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 x (sin.f64 eps))))
✓	41.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	55.1b	(-.f64 (cos.f64 x) 1)
	41.3b	(-.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (/.f64 1 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (cos.f64 x)))
✓	40.8b	(-.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (/.f64 1 (cos.f64 x))) (cos.f64 x)))
	41.3b	(-.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (/.f64 1 1)) (cos.f64 x)))
✓	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.2b	(-.f64 (cos.f64 eps) 1)
✓	54.7b	(-.f64 1 (cos.f64 x))
✓	55.8b	(-.f64 1 1)
	39.3b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 x)))
	44.7b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) (cos.f64 x)))
	38.8b	(+.f64 (-.f64 (.f64 1/2 (cos.f64 eps)) (-.f64 (.f64 (cos.f64 eps) -1/2) -1)) (*.f64 (sin.f64 eps) (neg.f64 x)))
✓	39.1b	(+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2))))
	39.3b	(+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (pow.f64 x 2)) (+.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 (sin.f64 eps) (neg.f64 x)) (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))))
	47.1b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
	50.3b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
	47.5b	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 eps (neg.f64 x)) (.f64 (pow.f64 x 3) (.f64 1/6 eps))))
✓	50.3b	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
	29.7b	(+.f64 (neg.f64 (-.f64 (.f64 0 (.f64 (sin.f64 x) (.f64 (/.f64 1 (sin.f64 x)) eps))) (.f64 (.f64 (sin.f64 x) (.f64 (/.f64 1 (sin.f64 x)) eps)) (neg.f64 (sin.f64 x))))) (*.f64 (pow.f64 eps 2) -1/2))
✓	29.6b	(+.f64 (neg.f64 (.f64 eps (.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) (sin.f64 x)))) (.f64 (pow.f64 eps 2) -1/2))
	29.6b	(+.f64 (neg.f64 (.f64 eps (.f64 (.f64 (sin.f64 x) (.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (sin.f64 x)))))) (sin.f64 x)))) (.f64 (pow.f64 eps 2) -1/2))
✓	29.3b	(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
	35.6b	(.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))) (/.f64 1 (-.f64 (.f64 (pow.f64 eps 2) -1/2) (.f64 eps (sin.f64 x))))))
	47.1b	(.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 x) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))))
	48.5b	(.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) 1))))
	61.7b	(.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
	47.1b	(.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))))))
	47.5b	(.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) 1) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
	61.0b	(.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
	47.1b	(.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x)))) (+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))
	47.5b	(.f64 (-.f64 (cos.f64 eps) 1) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
	61.0b	(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
	61.4b	(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
	48.4b	(.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
	47.2b	(.f64 (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))) (.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))
	35.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
	52.9b	(*.f64 eps (neg.f64 x))
	50.1b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 823 to 528 computations (35.8% saved)

regimes921.0ms (5.6%)

Counts

65 → 3

Calls

Call 1

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

Outputs

(-.f64 (cos.f64 eps) (cos.f64 x))

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

(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

605.0ms	x
163.0ms	eps
123.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.1b	5	`x`
14.1b	3	`eps`
15.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1159 to 532 computations (54.1% saved)

bsearch297.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
194.0ms	0.0007921116626728293	144374588.86614028
103.0ms	-3179235335543.8325	-3.8310703316835803e-13

Results

230.0ms	105×	body	1024	valid
37.0ms	186×	body	256	valid
14.0ms	40×	body	512	valid
5.0ms	5×	body	2048	valid

Compiler

Compiled 917 to 661 computations (27.9% saved)

regimes627.0ms (3.8%)

Counts

59 → 3

Calls

Call 1

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

Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

291.0ms	eps
166.0ms	x
127.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.1b	5	`x`
14.2b	3	`eps`
15.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 968 to 473 computations (51.1% saved)

bsearch93.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	6.69276146398527e-5	0.0007921116626728293
58.0ms	-3179235335543.8325	-3.8310703316835803e-13

Results

33.0ms	159×	body	256	valid
29.0ms	59×	body	1024	valid
16.0ms	47×	body	512	valid
7.0ms	7×	body	2048	valid

Compiler

Compiled 439 to 333 computations (24.1% saved)

regimes138.0ms (0.8%)

Counts

23 → 3

Calls

Call 1

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

Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) -1/2))
(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

79.0ms	x
37.0ms	eps
14.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
21.4b	3	`x`
14.3b	3	`eps`
15.5b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 198 to 100 computations (49.5% saved)

bsearch107.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	6.69276146398527e-5	0.0007921116626728293
72.0ms	-3179235335543.8325	-3.8310703316835803e-13

Results

42.0ms	71×	body	1024	valid
33.0ms	157×	body	256	valid
16.0ms	37×	body	512	valid
7.0ms	7×	body	2048	valid

Compiler

Compiled 388 to 299 computations (22.9% saved)

regimes79.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

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

Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(neg.f64 (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

36.0ms	x
23.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
21.4b	3	`x`
20.1b	3	`eps`
21.1b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 113 to 60 computations (46.9% saved)

bsearch105.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	2.268475736331565e-10	6.69276146398527e-5
44.0ms	-3.8310703316835803e-13	-9.567191617822684e-16

Results

42.0ms	67×	body	1024	valid
26.0ms	148×	body	256	valid
16.0ms	44×	body	512	valid
15.0ms	13×	body	2048	valid

Compiler

Compiled 286 to 214 computations (25.2% saved)

regimes70.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(-.f64 (cos.f64 eps) 1)
(neg.f64 (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) 1)

Calls

2 calls:

37.0ms	eps
29.0ms	x

Results

Error	Segments	Branch
24.0b	3	`x`
20.6b	3	`eps`

Compiler

Compiled 58 to 37 computations (36.2% saved)

bsearch84.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	2.268475736331565e-10	6.69276146398527e-5
36.0ms	-3.8310703316835803e-13	-9.567191617822684e-16

Results

33.0ms	71×	body	1024	valid
25.0ms	154×	body	256	valid
11.0ms	35×	body	512	valid
10.0ms	12×	body	2048	valid

Compiler

Compiled 287 to 223 computations (22.3% saved)

regimes66.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

Outputs
(-.f64 (cos.f64 eps) 1)
(neg.f64 (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

31.0ms	x
31.0ms	eps

Results

Error	Segments	Branch
24.0b	3	`x`
20.6b	3	`eps`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch110.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	2.268475736331565e-10	6.69276146398527e-5
54.0ms	-3.8310703316835803e-13	-9.567191617822684e-16

Results

44.0ms	67×	body	1024	valid
33.0ms	154×	body	256	valid
17.0ms	42×	body	512	valid
10.0ms	9×	body	2048	valid

Compiler

Compiled 269 to 214 computations (20.4% saved)

regimes44.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(*.f64 eps (neg.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 x) 1)

Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 eps (neg.f64 x))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

24.0ms	eps
8.0ms	x

Results

Error	Segments	Branch
41.2b	1	`x`
38.1b	3	`eps`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch106.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	6.641558827775145e-39	3.1791130978782435e-36
55.0ms	-1.3627243769796961e-41	-1.0313419064639391e-45

Results

44.0ms	143×	body	512	valid
35.0ms	71×	body	1024	valid
19.0ms	25×	body	2048	valid
3.0ms	17×	body	256	valid

Compiler

Compiled 238 to 186 computations (21.8% saved)

regimes16.0ms (0.1%)

Accuracy

Total -3.8b remaining (-7.2%)

Threshold costs -3.8b (-7.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(-.f64 1 1)
(*.f64 eps (neg.f64 x))
(-.f64 1 (cos.f64 x))

Outputs
(*.f64 eps (neg.f64 x))

Calls

2 calls:

8.0ms	x
6.0ms	eps

Results

Error	Segments	Branch
52.9b	1	`x`
52.9b	1	`eps`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	561

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -8286623314361713/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3512807709348987/18014398509481984) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3804640965202595/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7194230188746725/9223372036854775808) (+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3602879701896397/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7194230188746725/9223372036854775808) (+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) -1/2)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -940834429856889/2475880078570760549798248448) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6965490562232727/2361183241434822606848) (neg.f64 (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -940834429856889/2475880078570760549798248448) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6640827866535439/295147905179352825856) (neg.f64 (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) 1)))
(if (<=.f64 eps -940834429856889/2475880078570760549798248448) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1770887431076117/295147905179352825856) (neg.f64 (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -41377379603379/3064991081731777716716694054300618367237478244367204352) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 8081519453784961/2993155353253689176481146537402947624255349848014848) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (neg.f64 x))
(-.f64 1 1)

Outputs
(if (<=.f64 eps -8286623314361713/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3512807709348987/18014398509481984) (+.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3804640965202595/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7194230188746725/9223372036854775808) (+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3602879701896397/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7194230188746725/9223372036854775808) (+.f64 (neg.f64 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 2) -1/2)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -940834429856889/2475880078570760549798248448) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6965490562232727/2361183241434822606848) (neg.f64 (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -940834429856889/2475880078570760549798248448) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6640827866535439/295147905179352825856) (neg.f64 (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) 1)))
(if (<=.f64 eps -940834429856889/2475880078570760549798248448) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1770887431076117/295147905179352825856) (neg.f64 (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -41377379603379/3064991081731777716716694054300618367237478244367204352) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 8081519453784961/2993155353253689176481146537402947624255349848014848) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (neg.f64 x))
(-.f64 1 1)
0

Compiler

Compiled 221 to 141 computations (36.2% saved)

soundness99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational_best_45_simplify-100`
1190×	`rational_best_45_simplify-37`
1174×	`rational_best_45_simplify-91`
1164×	`rational_best_45_simplify-67`
1068×	`rational_best_45_simplify-99`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	383	3537
1	1577	3479

Stop Event

1×	node limit

Compiler

Compiled 297 to 182 computations (38.7% saved)

end102.0ms (0.6%)

Compiler: Compiled 205 to 96 computations (53.2% saved)