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)

sample5.4s (35.5%)

Results

2.3s	3589×	body	1024	valid
1.7s	1244×	body	2048	valid
980.0ms	1463×	body	512	valid
440.0ms	1958×	body	256	valid
3.0ms	2×	body	4096	valid

Bogosity

preprocess5.0ms (0%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best_oopsla_all_46_json_45_simplify-35`

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 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best_oopsla_all_46_json_45_simplify-35`

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 (sin.f64 (+.f64 x eps)) (sin.f64 x))

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

38.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.0b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	3.8b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite154.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational_best_oopsla_all_46_json_45_simplify-13`
1404×	`rational_best_oopsla_all_46_json_45_simplify-23`
982×	`rational_best_oopsla_all_46_json_45_simplify-87`
974×	`rational_best_oopsla_all_46_json-2`
974×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	48	32
2	112	32
3	374	32
4	1755	32

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

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

simplify174.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational_best_oopsla_all_46_json_45_simplify-23`
1108×	`rational_best_oopsla_all_46_json_45_simplify-36`
986×	`rational_best_oopsla_all_46_json_45_simplify-35`
870×	`rational_best_oopsla_all_46_json_45_simplify-13`
854×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	246	2836
1	982	2804
2	6588	2804

Stop Event

1×	node limit

Counts

144 → 147

Calls

Call 1

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

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

eval26.0ms (0.2%)

Compiler: Compiled 3540 to 735 computations (79.2% saved)

prune36.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	133	14	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	133	15	148

Error

14.2b

Counts

148 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	54.6b	(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) (sin.f64 x))
	54.2b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	40.5b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	39.0b	(-.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (sin.f64 (+.f64 x eps)))) (sin.f64 (+.f64 x eps))) (sin.f64 x))
✓	38.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.2b	(-.f64 (sin.f64 x) (sin.f64 x))
	39.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	31.3b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
▶	31.7b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
▶	31.6b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	31.8b	(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
	33.4b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
▶	31.3b	(+.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) x) x))
	40.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
▶	31.5b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 481 to 300 computations (37.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) x) x))
✓	0.1b	(*.f64 (cos.f64 eps) x)
✓	1.8b	(-.f64 (*.f64 (cos.f64 eps) x) x)

Compiler

Compiled 27 to 7 computations (74.1% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

18 calls:

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

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1950×	`rational_best_oopsla_all_46_json-2`
1950×	`rational_best_oopsla_all_46_json-1`
1950×	`rational_best_oopsla_all_46_json-4`
1950×	`rational_best_oopsla_all_46_json-3`
834×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	60	55
2	180	55
3	748	55
4	3762	55

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

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

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

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simplify245.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational_best_oopsla_all_46_json_45_simplify-89`
962×	`rational_best_oopsla_all_46_json_45_simplify-24`
944×	`rational_best_oopsla_all_46_json_45_simplify-74`
752×	`rational_best_oopsla_all_46_json_45_simplify-36`
642×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	4108
1	1210	4108
2	5927	4088

Stop Event

1×	node limit

Counts

174 → 177

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 10 to 4 computations (60% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1440×	`rational_best_oopsla_all_46_json-2`
1440×	`rational_best_oopsla_all_46_json-1`
1440×	`rational_best_oopsla_all_46_json-4`
1440×	`rational_best_oopsla_all_46_json-3`
1166×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	42	11
2	133	11
3	567	11
4	2851	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational_best_oopsla_all_46_json_45_simplify-49`
1094×	`rational_best_oopsla_all_46_json_45_simplify-7`
852×	`rational_best_oopsla_all_46_json_45_simplify-89`
638×	`rational_best_oopsla_all_46_json_45_simplify-74`
612×	`rational_best_oopsla_all_46_json_45_simplify-37`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	548
1	232	548
2	919	536
3	4169	536

Stop Event

1×	node limit

Counts

32 → 40

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
✓	0.2b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	2.0b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 28 to 14 computations (50% saved)

series3.0ms (0%)

Counts

3 → 15

Calls

15 calls:

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

rewrite174.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`rational_best_oopsla_all_46_json_45_simplify-7`
982×	`rational_best_oopsla_all_46_json_45_simplify-108`
682×	`rational_best_oopsla_all_46_json_45_simplify-35`
554×	`rational_best_oopsla_all_46_json_45_simplify-102`
504×	`rational_best_oopsla_all_46_json_45_simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	64	55
2	181	55
3	781	55
4	4126	55
5	7973	55

Stop Event

1×	node limit

Counts

3 → 268

Calls

Call 1

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

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

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

simplify239.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1424×	`rational_best_oopsla_all_46_json_45_simplify-35`
972×	`rational_best_oopsla_all_46_json_45_simplify-89`
906×	`rational_best_oopsla_all_46_json_45_simplify-23`
820×	`rational_best_oopsla_all_46_json_45_simplify-24`
776×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	541	11725
1	1592	10859
2	6768	10665

Stop Event

1×	node limit

Counts

283 → 344

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
✓	0.0b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	0.2b	(*.f64 (cos.f64 x) eps)
✓	3.6b	(*.f64 (pow.f64 eps 2) (sin.f64 x))

Compiler

Compiled 44 to 23 computations (47.7% saved)

series5.0ms (0%)

Counts

3 → 19

Calls

18 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`rational_best_oopsla_all_46_json_45_simplify-80`
878×	`rational_best_oopsla_all_46_json_45_simplify-35`
644×	`rational_best_oopsla_all_46_json_45_simplify-89`
618×	`rational_best_oopsla_all_46_json_45_simplify-23`
556×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	87	79
2	271	79
3	1209	79
4	5545	79

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

992×	`rational_best_oopsla_all_46_json_45_simplify-13`
780×	`rational_best_oopsla_all_46_json_45_simplify-72`
766×	`rational_best_oopsla_all_46_json_45_simplify-49`
732×	`rational_best_oopsla_all_46_json_45_simplify-7`
604×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	224	3645
1	754	3597
2	3267	3597

Stop Event

1×	node limit

Counts

113 → 141

Calls

Call 1

Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 (cos.f64 x) eps)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 0)
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 0 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (pow.f64 eps 2)))))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 0 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 0 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 0 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 0 (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (pow.f64 eps 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))) (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 0 (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(-.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 0)
(-.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (-.f64 0 (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 0 (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))))
(-.f64 0 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x)))))
(-.f64 0 (.f64 (.f64 (sin.f64 x) (neg.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))) (pow.f64 eps 2)))
(-.f64 0 (-.f64 (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(-.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) (-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1)
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (/.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) (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))))
(/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (/.f64 (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (pow.f64 eps 2))) (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (pow.f64 eps 2)))))
(/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (/.f64 (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (/.f64 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))) (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (/.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))))
(neg.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))))
(neg.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x)))))
(neg.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))) (pow.f64 eps 2)))
(-.f64 (.f64 eps (cos.f64 x)) (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (*.f64 eps (neg.f64 (cos.f64 x))))
(-.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 0)
(-.f64 0 (-.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) (*.f64 eps (cos.f64 x))))
(-.f64 0 (.f64 -1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) 1)
(.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))))
(.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))))
(.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (/.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))))
(.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (.f64 (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))))
(.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (.f64 (.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))))
(.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))
(.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))
(.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (/.f64 1 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))))
(.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (/.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))))
(.f64 -1 (-.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) (.f64 eps (cos.f64 x))))
(.f64 (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) (.f64 eps (cos.f64 x))) -1)
(.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) (.f64 eps (cos.f64 x))) (neg.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))))) (-.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) (.f64 eps (cos.f64 x))))
(/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))) 1)
(/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))))
(/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (/.f64 (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))) (/.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))))
(neg.f64 (.f64 -1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 0)
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 0 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 0 (.f64 (sin.f64 x) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 0 (.f64 (pow.f64 eps 2) -1/2)))
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (.f64 0 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(+.f64 (.f64 0 (.f64 (sin.f64 x) (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (.f64 0 (.f64 (pow.f64 eps 2) -1/2)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 0)
(-.f64 0 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(-.f64 0 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) 1/2)))
(-.f64 0 (.f64 1 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2)))
(-.f64 0 (.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (sin.f64 x) -1/2)))
(-.f64 0 (.f64 -1 (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(-.f64 0 (.f64 (.f64 (sin.f64 x) 1/2) (pow.f64 eps 2)))
(-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2)))
(-.f64 (.f64 0 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))) (.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x)))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 1)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 (sin.f64 x) 1/2) (.f64 (sin.f64 x) 1/2)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))) (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 1/2 (pow.f64 eps 2))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 (sin.f64 x) (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))) (.f64 (sin.f64 x) (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))))
(/.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) -1)
(neg.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(neg.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) 1/2)))
(neg.f64 (.f64 1 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2)))
(neg.f64 (.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (sin.f64 x) -1/2)))
(neg.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(neg.f64 (.f64 (.f64 (sin.f64 x) 1/2) (pow.f64 eps 2)))

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (*.f64 -1/6 (pow.f64 x 3))))
(.f64 (pow.f64 eps 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/6 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (pow.f64 x 5) (.f64 1/120 (pow.f64 eps 2))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 eps 2) (+.f64 x (.f64 1/120 (pow.f64 x 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/6 (pow.f64 x 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))))))
(+.f64 (.f64 (pow.f64 x 5) (.f64 1/120 (pow.f64 eps 2))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (.f64 (pow.f64 eps 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 1/120 (pow.f64 x 5))) (.f64 (pow.f64 eps 2) (.f64 -1/5040 (pow.f64 x 7)))))
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(+.f64 eps (.f64 (pow.f64 eps 2) (.f64 -1/2 x)))
(+.f64 eps (.f64 (pow.f64 eps 2) (.f64 x -1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 eps (.f64 eps (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 eps (.f64 -1/2 (+.f64 (.f64 (pow.f64 eps 2) x) (*.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 eps (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (.f64 (pow.f64 eps 2) (.f64 1/12 (pow.f64 x 3))))))
(+.f64 eps (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)) (.f64 -1/2 (+.f64 (.f64 (pow.f64 eps 2) x) (*.f64 eps (pow.f64 x 2))))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 (sin.f64 x))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 (pow.f64 eps 2) (.f64 -1/2 x))
(.f64 (pow.f64 eps 2) (.f64 x -1/2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 (pow.f64 eps 2) (.f64 1/12 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 1/12 (pow.f64 x 3))) (.f64 (pow.f64 eps 2) (.f64 -1/240 (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 5) -1/240))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/240 (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 1/12 (pow.f64 x 3))) (.f64 (pow.f64 eps 2) (.f64 1/10080 (pow.f64 x 7))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 5) -1/240)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 7) 1/10080)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 3) 1/12)) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 5) -1/240))) (.f64 (pow.f64 eps 2) (.f64 (pow.f64 x 7) 1/10080))))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 0)
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 0 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 0 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 0 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 0 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 0 (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (pow.f64 eps 2)))) (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))) (.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (.f64 0 (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
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(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 0 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 0 (.f64 (sin.f64 x) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (.f64 0 (.f64 (pow.f64 eps 2) -1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 0 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 0 (.f64 (sin.f64 x) (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 0 (.f64 (pow.f64 eps 2) -1/2)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 0)
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 0 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 0 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) 1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 0 (.f64 1 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 0 (.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (sin.f64 x) -1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 0 (.f64 -1 (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 0 (.f64 (.f64 (sin.f64 x) 1/2) (pow.f64 eps 2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(-.f64 (.f64 0 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))) (.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x)))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) 1)
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 (sin.f64 x) 1/2) (.f64 (sin.f64 x) 1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))))
(/.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2)) (/.f64 (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (/.f64 (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))) (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 1/2 (pow.f64 eps 2))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2)) (/.f64 (.f64 (sin.f64 x) (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2)))) (.f64 (sin.f64 x) (.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 eps 2))))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2) -1)
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(neg.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(neg.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) 1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(neg.f64 (.f64 1 (.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(neg.f64 (.f64 (neg.f64 (pow.f64 eps 2)) (.f64 (sin.f64 x) -1/2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(neg.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(neg.f64 (.f64 (.f64 (sin.f64 x) 1/2) (pow.f64 eps 2)))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 2) -1/2))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
	0.2b	(*.f64 (cos.f64 x) eps)
	3.6b	(*.f64 (pow.f64 eps 2) (sin.f64 x))
✓	5.4b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))

Compiler

Compiled 89 to 52 computations (41.6% saved)

series4.0ms (0%)

Counts

2 → 19

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
1.0ms	x	@	-inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
0.0ms	eps	@	0	(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
0.0ms	eps	@	inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
0.0ms	eps	@	0	(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))

rewrite135.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`rational_best_oopsla_all_46_json_45_simplify-35`
780×	`rational_best_oopsla_all_46_json_45_simplify-89`
728×	`rational_best_oopsla_all_46_json_45_simplify-23`
680×	`rational_best_oopsla_all_46_json_45_simplify-87`
672×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	111	74
2	329	74
3	1462	74
4	6682	74

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 (*.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (*.f64 (/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (/.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (*.f64 (/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) (/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 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x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/6 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (/.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) (/.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))) (*.f64 -1/6 (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (*.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (pow.f64 eps 3)) (*.f64 -1/6 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (cos.f64 x) 1/6) (pow.f64 eps 3)))))))

simplify201.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

934×	`rational_best_oopsla_all_46_json_45_simplify-10`
914×	`rational_best_oopsla_all_46_json_45_simplify-30`
814×	`rational_best_oopsla_all_46_json_45_simplify-13`
704×	`rational_best_oopsla_all_46_json_45_simplify-35`
702×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	3996
1	641	3930
2	2530	3926
3	6576	3926

Stop Event

1×	node limit

Counts

104 → 126

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(*.f64 -1/6 (pow.f64 eps 3))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 -1/6 (pow.f64 eps 3))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/144 (*.f64 (pow.f64 eps 3) (pow.f64 x 4)))))
(+.f64 (.f64 1/4320 (.f64 (pow.f64 eps 3) (pow.f64 x 6))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/144 (*.f64 (pow.f64 eps 3) (pow.f64 x 4))))))
(.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))
(.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))
(.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))
(.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6))
(-.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 0)
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(-.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 0))
(-.f64 0 (.f64 -1 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
(.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (/.f64 1 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (/.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (/.f64 1 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))) (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))) (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(.f64 1 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
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(.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (/.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))))
(.f64 -1 (neg.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (/.f64 1 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))
(.f64 (neg.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) -1)
(.f64 (neg.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (neg.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))
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(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 1)
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (/.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))) (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(neg.f64 (.f64 -1 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) 0)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x)))) 0))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) 0))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 0))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) 0))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))) 0))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (pow.f64 eps 3)) 0))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 0 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 0 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) 1/6) 0))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 0 (.f64 -1/6 (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 0 (.f64 -1/6 (pow.f64 eps 3))))
(+.f64 0 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x)))) 0) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))) 0) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 0) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) 0) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (.f64 -1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))) 0) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (.f64 -1/6 (pow.f64 eps 3)) 0) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 0 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 0 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (.f64 (cos.f64 x) 1/6) 0) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 0 (.f64 -1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3))))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 0 (.f64 -1/6 (pow.f64 eps 3))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) 0)
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x)))) 0))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) 0))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 0))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) 0))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))) 0))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (pow.f64 eps 3)) 0))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) 1/6) 0))
(-.f64 0 (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6))
(-.f64 0 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6)))
(-.f64 0 (.f64 1 (.f64 (*.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6)))
(-.f64 0 (.f64 (neg.f64 (pow.f64 eps 3)) (.f64 -1/6 (cos.f64 x))))
(-.f64 0 (.f64 -1 (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(-.f64 0 (.f64 (.f64 (cos.f64 x) 1/6) (pow.f64 eps 3)))
(-.f64 (.f64 0 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))))) (.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x)))) (*.f64 (pow.f64 eps 3) (neg.f64 (cos.f64 x)))))
(-.f64 (.f64 0 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))) (.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))) (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) 1)
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/6 (cos.f64 x))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/6 (pow.f64 eps 3))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))) (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 -1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))) (.f64 -1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3))))))
(/.f64 (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6) -1)
(neg.f64 (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6))
(neg.f64 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6)))
(neg.f64 (.f64 1 (.f64 (*.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6)))
(neg.f64 (.f64 (neg.f64 (pow.f64 eps 3)) (.f64 -1/6 (cos.f64 x))))
(neg.f64 (.f64 -1 (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(neg.f64 (.f64 (.f64 (cos.f64 x) 1/6) (pow.f64 eps 3)))

Outputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(*.f64 -1/6 (pow.f64 eps 3))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 (pow.f64 eps 2) (*.f64 -1/2 x)))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 (pow.f64 eps 3) (*.f64 1/12 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 (pow.f64 eps 3) (+.f64 -1/6 (.f64 1/12 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 (pow.f64 eps 3) (+.f64 -1/6 (.f64 1/12 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 (pow.f64 eps 3) (.f64 1/12 (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 (pow.f64 eps 2) (*.f64 1/12 (pow.f64 x 3))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 1/12 (pow.f64 x 3))) (.f64 (pow.f64 eps 3) (+.f64 -1/6 (.f64 1/12 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 -1/6 (.f64 1/12 (pow.f64 x 2)))) (.f64 (pow.f64 x 3) (.f64 1/12 (pow.f64 eps 2)))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 -1/6 (pow.f64 eps 3))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 (pow.f64 eps 3) (*.f64 1/12 (pow.f64 x 2))))
(.f64 (pow.f64 eps 3) (+.f64 -1/6 (.f64 1/12 (pow.f64 x 2))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/144 (*.f64 (pow.f64 eps 3) (pow.f64 x 4)))))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 (pow.f64 eps 3) (.f64 1/12 (pow.f64 x 2))) (.f64 (pow.f64 eps 3) (*.f64 -1/144 (pow.f64 x 4)))))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 eps 3) (pow.f64 x 4))) (.f64 (pow.f64 eps 3) (+.f64 -1/6 (.f64 1/12 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 eps 3) (.f64 1/12 (pow.f64 x 2))) (.f64 (pow.f64 eps 3) (+.f64 -1/6 (.f64 -1/144 (pow.f64 x 4)))))
(+.f64 (.f64 1/4320 (.f64 (pow.f64 eps 3) (pow.f64 x 6))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/144 (*.f64 (pow.f64 eps 3) (pow.f64 x 4))))))
(+.f64 (.f64 (pow.f64 eps 3) (.f64 1/12 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 eps 3) (.f64 1/4320 (pow.f64 x 6))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 (pow.f64 eps 3) (*.f64 -1/144 (pow.f64 x 4))))))
(+.f64 (.f64 (pow.f64 eps 3) (+.f64 -1/6 (.f64 -1/144 (pow.f64 x 4)))) (+.f64 (.f64 (pow.f64 eps 3) (.f64 1/4320 (pow.f64 x 6))) (.f64 (pow.f64 eps 3) (.f64 1/12 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 eps 3) (.f64 1/12 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 -1/6 (.f64 -1/144 (pow.f64 x 4)))) (.f64 (pow.f64 eps 3) (.f64 1/4320 (pow.f64 x 6)))))
(.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) 1/2))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (pow.f64 eps 2) (.f64 1/2 (sin.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6)))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6)))
(-.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) 0)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(-.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) 0))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
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(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 0 (.f64 -1/6 (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3))))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 0 (.f64 -1/6 (pow.f64 eps 3))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 0 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x)))) 0) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))) 0) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 0) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) 0) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 (.f64 -1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))) 0) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 (.f64 -1/6 (pow.f64 eps 3)) 0) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 0 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 0 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 (.f64 (cos.f64 x) 1/6) 0) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 0 (.f64 -1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3))))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (.f64 0 (.f64 -1/6 (pow.f64 eps 3))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) 0)
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x)))) 0))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) 0))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 0))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) 0))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (*.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))) 0))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 -1/6 (pow.f64 eps 3)) 0))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) 1/6) 0))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 0 (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 0 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 0 (.f64 1 (.f64 (*.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 0 (.f64 (neg.f64 (pow.f64 eps 3)) (.f64 -1/6 (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 0 (.f64 -1 (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 0 (.f64 (.f64 (cos.f64 x) 1/6) (pow.f64 eps 3)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(-.f64 (.f64 0 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))))) (.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x)))) (*.f64 (pow.f64 eps 3) (neg.f64 (cos.f64 x)))))
(.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x)))) (-.f64 0 (*.f64 (pow.f64 eps 3) (neg.f64 (cos.f64 x)))))
(neg.f64 (.f64 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) 1/6))))
(-.f64 (.f64 0 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))) (.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))) (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6)))
(.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))) (neg.f64 (.f64 (*.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6)))
(.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))) (neg.f64 (.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) 1/6))))
(.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6)) (.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) 1/6))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) 1)
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (cos.f64 x) (cos.f64 x)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/6 (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))) -1/3) (.f64 (/.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) (.f64 (pow.f64 eps 3) (cos.f64 x))) -1/3)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/6 (pow.f64 eps 3))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))) (/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (/.f64 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6)) (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6))) (/.f64 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6)) (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6)))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 -1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))) (.f64 -1/6 (.f64 (cos.f64 x) (/.f64 (pow.f64 eps 3) (pow.f64 eps 3))))))
(/.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (/.f64 (.f64 (cos.f64 x) (.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 eps 3)))) (.f64 (cos.f64 x) (.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 eps 3))))))
(/.f64 (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6) -1)
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(neg.f64 (.f64 (.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(neg.f64 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) 1/6)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(neg.f64 (.f64 1 (.f64 (*.f64 (pow.f64 eps 3) (cos.f64 x)) 1/6)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(neg.f64 (.f64 (neg.f64 (pow.f64 eps 3)) (.f64 -1/6 (cos.f64 x))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(neg.f64 (.f64 -1 (.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))
(neg.f64 (.f64 (.f64 (cos.f64 x) 1/6) (pow.f64 eps 3)))
(.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x)))

eval440.0ms (2.9%)

Compiler: Compiled 28783 to 13007 computations (54.8% saved)

prune269.0ms (1.8%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	943	11	954
Fresh	1	8	9
Picked	0	1	1
Done	1	4	5
Total	945	24	969

Error

14.0b

Counts

969 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	54.6b	(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) (sin.f64 x))
▶	54.2b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	40.5b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	39.0b	(-.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (sin.f64 (+.f64 x eps)))) (sin.f64 (+.f64 x eps))) (sin.f64 x))
✓	38.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	39.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	47.9b	(+.f64 (-.f64 (/.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 eps) (-.f64 (/.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x (+.f64 (cos.f64 eps) -1)))))) (sin.f64 eps))
	47.9b	(+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (cos.f64 eps) -1)))) x) (sin.f64 eps))
✓	31.7b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
	32.2b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (pow.f64 eps 3)))
✓	31.6b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	31.8b	(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
	33.4b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
✓	31.3b	(+.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) x) x))
	31.3b	(+.f64 (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x (*.f64 x (/.f64 1 x)))))
	33.3b	(+.f64 (sin.f64 eps) (.f64 x (-.f64 (cos.f64 eps) (.f64 x (/.f64 1 x)))))
▶	31.3b	(+.f64 (sin.f64 eps) (.f64 x (.f64 x (/.f64 (+.f64 (cos.f64 eps) -1) x))))
	48.4b	(+.f64 eps (.f64 eps (.f64 -1/2 (pow.f64 x 2))))
▶	40.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
▶	61.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
	31.6b	(.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (.f64 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) -1/2))) (/.f64 1 (+.f64 (.f64 eps (cos.f64 x)) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2))))))
✓	31.5b	(*.f64 (cos.f64 x) eps)
▶	29.8b	(sin.f64 eps)
	46.0b	eps

Compiler

Compiled 758 to 481 computations (36.5% saved)

localize3.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
	2.0b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (cos.f64 eps) -1) x)
✓	0.2b	(*.f64 x (/.f64 (+.f64 (cos.f64 eps) -1) x))
✓	0.2b	(.f64 x (.f64 x (/.f64 (+.f64 (cos.f64 eps) -1) x)))
✓	2.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 50 to 25 computations (50% saved)

series8.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(*.f64 x (/.f64 (+.f64 (cos.f64 eps) -1) x))
2.0ms	x	@	-inf	(/.f64 (+.f64 (cos.f64 eps) -1) x)
0.0ms	eps	@	0	(/.f64 (+.f64 (cos.f64 eps) -1) x)
0.0ms	eps	@	inf	(/.f64 (+.f64 (cos.f64 eps) -1) x)
0.0ms	eps	@	-inf	(/.f64 (+.f64 (cos.f64 eps) -1) x)

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`rational_best_oopsla_all_46_json_45_simplify-35`
794×	`rational_best_oopsla_all_46_json_45_simplify-80`
632×	`rational_best_oopsla_all_46_json_45_simplify-23`
580×	`rational_best_oopsla_all_46_json_45_simplify-89`
524×	`rational_best_oopsla_all_46_json_45_simplify-37`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	80
1	70	68
2	220	68
3	1025	68
4	4946	68

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

Outputs
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simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1316×	`rational_best_oopsla_all_46_json_45_simplify-7`
880×	`rational_best_oopsla_all_46_json_45_simplify-89`
734×	`rational_best_oopsla_all_46_json_45_simplify-24`
698×	`rational_best_oopsla_all_46_json_45_simplify-74`
596×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	5934
1	1123	5934
2	5340	5646

Stop Event

1×	node limit

Counts

240 → 198

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
	0.2b	(*.f64 (cos.f64 x) eps)
✓	2.8b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series1.0ms (0%)

Counts

2 → 35

Calls

12 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`rational_best_oopsla_all_46_json-2`
1774×	`rational_best_oopsla_all_46_json-1`
1774×	`rational_best_oopsla_all_46_json-4`
1774×	`rational_best_oopsla_all_46_json-3`
1326×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	60	32
2	183	32
3	723	32
4	3471	32

Stop Event

1×	node limit

Counts

2 → 226

Calls

Call 1

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

Outputs

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simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Rules

990×	`rational_best_oopsla_all_46_json_45_simplify-49`
608×	`rational_best_oopsla_all_46_json_45_simplify-80`
576×	`rational_best_oopsla_all_46_json_45_simplify-36`
566×	`rational_best_oopsla_all_46_json_45_simplify-24`
562×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	463	4463
1	2080	4361
2	5098	4281

Stop Event

1×	node limit

Counts

261 → 276

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
✓	0.1b	(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	2.0b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	3.8b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 72 to 16 computations (77.8% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite154.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1302×	`rational_best_oopsla_all_46_json_45_simplify-76`
1100×	`rational_best_oopsla_all_46_json_45_simplify-7`
652×	`rational_best_oopsla_all_46_json_45_simplify-35`
530×	`rational_best_oopsla_all_46_json_45_simplify-80`
398×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	69	80
2	196	80
3	854	80
4	4417	80

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

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

Outputs

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

simplify348.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1594×	`rational_best_oopsla_all_46_json_45_simplify-89`
1304×	`rational_best_oopsla_all_46_json_45_simplify-24`
1214×	`rational_best_oopsla_all_46_json_45_simplify-74`
520×	`rational_best_oopsla_all_46_json_45_simplify-72`
512×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	16717
1	1718	16195
2	6694	16137

Stop Event

1×	node limit

Counts

225 → 289

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

eval751.0ms (4.9%)

Compiler: Compiled 53307 to 14163 computations (73.4% saved)

prune935.0ms (6.1%)

Pruning

43 alts after pruning (34 fresh and 9 done)

	Pruned	Kept	Total
New	1472	23	1495
Fresh	3	11	14
Picked	1	0	1
Done	0	9	9
Total	1476	43	1519

Error

13.9b

Counts

1519 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	62.8b	(-.f64 (/.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 eps) (-.f64 (/.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 x (+.f64 (cos.f64 eps) -1))))))
	54.6b	(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) (sin.f64 x))
✓	54.2b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	40.5b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	55.3b	(-.f64 (+.f64 eps x) (sin.f64 x))
	39.0b	(-.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (sin.f64 (+.f64 x eps)))) (sin.f64 (+.f64 x eps))) (sin.f64 x))
▶	61.1b	(-.f64 (*.f64 (cos.f64 eps) x) x)
✓	38.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	39.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
✓	31.7b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
	32.2b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (pow.f64 eps 3)))
✓	31.6b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	31.8b	(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
	33.4b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
✓	31.3b	(+.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) x) x))
▶	31.3b	(+.f64 (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x (*.f64 x (/.f64 1 x)))))
	33.3b	(+.f64 (sin.f64 eps) (.f64 x (-.f64 (cos.f64 eps) (.f64 x (/.f64 1 x)))))
✓	31.3b	(+.f64 (sin.f64 eps) (.f64 x (.f64 x (/.f64 (+.f64 (cos.f64 eps) -1) x))))
	47.9b	(+.f64 (sin.f64 eps) (.f64 x (.f64 x (/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (cos.f64 eps) -1)))) x))))
	48.4b	(+.f64 eps (.f64 eps (.f64 -1/2 (pow.f64 x 2))))
	31.6b	(.f64 (/.f64 eps (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))
	41.6b	(.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
	40.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
	40.4b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)))))
	40.4b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (sin.f64 (+.f64 x eps)))) (sin.f64 (+.f64 x eps))) (sin.f64 x)))))
	40.1b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))))
	40.0b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (+.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) x) x)))))
	40.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))
▶	39.3b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))))
	42.4b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) (/.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))) x))))
▶	54.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (.f64 (cos.f64 x) eps)))))
	40.7b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
	42.0b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (*.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (/.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
	42.0b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (fabs.f64 (/.f64 1 (.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))))
✓	61.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
	62.8b	(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (cos.f64 eps) -1)))) x)
▶	31.5b	(.f64 (.f64 (cos.f64 x) (/.f64 eps (cos.f64 x))) (cos.f64 x))
	31.6b	(.f64 (.f64 eps (/.f64 (cos.f64 x) eps)) eps)
	31.5b	(.f64 (cos.f64 x) (.f64 eps (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))))
✓	31.5b	(*.f64 (cos.f64 x) eps)
	31.6b	(.f64 eps (.f64 (cos.f64 x) (*.f64 eps (/.f64 1 eps))))
✓	29.8b	(sin.f64 eps)
	46.0b	eps

Compiler

Compiled 1695 to 899 computations (47% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sin.f64 eps) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 x (*.f64 x (/.f64 1 x)))))
✓	0.2b	(.f64 (+.f64 (cos.f64 eps) -1) (.f64 x (*.f64 x (/.f64 1 x))))
✓	0.2b	(*.f64 x (/.f64 1 x))
	2.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 56 to 32 computations (42.9% saved)

series1.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`rational_best_oopsla_all_46_json_45_simplify-13`
1372×	`rational_best_oopsla_all_46_json_45_simplify-23`
952×	`rational_best_oopsla_all_46_json_45_simplify-74`
916×	`rational_best_oopsla_all_46_json-2`
916×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	99	57
2	354	57
3	2114	57

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1 x)) (*.f64 (neg.f64 (/.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1 x)) (*.f64 (*.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (/.f64 x x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1 x)) (*.f64 (*.f64 x (/.f64 1 x)) (/.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1 x)) (*.f64 (*.f64 x (/.f64 (/.f64 1 x) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1 x)) (*.f64 (*.f64 x (/.f64 (/.f64 1 x) (/.f64 1 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1 x)) (*.f64 (*.f64 (/.f64 x x) (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x)))) 0))))) (#(struct:change #<rule egg-rr> 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simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1318×	`rational_best_oopsla_all_46_json_45_simplify-89`
1128×	`rational_best_oopsla_all_46_json_45_simplify-24`
1100×	`rational_best_oopsla_all_46_json_45_simplify-7`
1038×	`rational_best_oopsla_all_46_json_45_simplify-74`
712×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	380	4848
1	1447	4808
2	6366	4808

Stop Event

1×	node limit

Counts

210 → 190

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 eps) x)
	1.8b	(-.f64 (*.f64 (cos.f64 eps) x) x)

Compiler

Compiled 16 to 5 computations (68.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (/.f64 eps (cos.f64 x)))
✓	0.1b	(/.f64 eps (cos.f64 x))
✓	0.2b	(.f64 (.f64 (cos.f64 x) (/.f64 eps (cos.f64 x))) (cos.f64 x))

Compiler

Compiled 27 to 6 computations (77.8% saved)

series5.0ms (0%)

Counts

3 → 52

Calls

18 calls:

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

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`rational_best_oopsla_all_46_json_45_simplify-35`
802×	`rational_best_oopsla_all_46_json_45_simplify-108`
712×	`rational_best_oopsla_all_46_json_45_simplify-23`
630×	`rational_best_oopsla_all_46_json_45_simplify-89`
516×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	63
1	57	63
2	201	43
3	1038	43
4	5171	43

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

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simplify157.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1018×	`rational_best_oopsla_all_46_json_45_simplify-72`
1010×	`rational_best_oopsla_all_46_json_45_simplify-49`
778×	`rational_best_oopsla_all_46_json_45_simplify-7`
608×	`rational_best_oopsla_all_46_json_45_simplify-89`
500×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	6857
1	954	6751
2	3644	6673

Stop Event

1×	node limit

Counts

213 → 206

Calls

Call 1

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

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

localize68.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 eps))
✓	0.2b	(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps)))
	2.0b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	3.8b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 59 to 17 computations (71.2% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite165.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`rational_best_oopsla_all_46_json_45_simplify-7`
960×	`rational_best_oopsla_all_46_json_45_simplify-108`
690×	`rational_best_oopsla_all_46_json_45_simplify-35`
550×	`rational_best_oopsla_all_46_json_45_simplify-80`
478×	`rational_best_oopsla_all_46_json_45_simplify-93`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	72	48
2	196	48
3	850	48
4	4345	48

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))) (*.f64 0 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))) (*.f64 0 (*.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))) (*.f64 0 (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))) (*.f64 0 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))) (-.f64 (*.f64 0 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))) (-.f64 (*.f64 0 (*.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify346.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1066×	`rational_best_oopsla_all_46_json_45_simplify-49`
898×	`rational_best_oopsla_all_46_json_45_simplify-72`
790×	`rational_best_oopsla_all_46_json_45_simplify-89`
764×	`rational_best_oopsla_all_46_json_45_simplify-35`
660×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	12157
1	1220	11509
2	4200	11145

Stop Event

1×	node limit

Counts

203 → 226

Calls

Call 1

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

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

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))
✓	0.3b	(pow.f64 (cos.f64 x) 2)
	2.0b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	3.8b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 127 to 50 computations (60.6% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`rational_best_oopsla_all_46_json_45_simplify-23`
1136×	`rational_best_oopsla_all_46_json_45_simplify-13`
1120×	`rational_best_oopsla_all_46_json_45_simplify-37`
832×	`rational_best_oopsla_all_46_json-2`
832×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	47	32
2	103	32
3	328	32
4	1519	32

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

Inputs
(pow.f64 (cos.f64 x) 2)
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))

Outputs

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

simplify115.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1440×	`rational_best_oopsla_all_46_json_45_simplify-23`
842×	`rational_best_oopsla_all_46_json_45_simplify-89`
766×	`rational_best_oopsla_all_46_json_45_simplify-35`
712×	`rational_best_oopsla_all_46_json_45_simplify-24`
702×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	249	2060
1	987	2054
2	5406	2054

Stop Event

1×	node limit

Counts

124 → 136

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
x
(+.f64 (*.f64 5/6 (pow.f64 x 3)) x)
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 (.f64 61/120 (pow.f64 x 5)) x))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 (.f64 277/1008 (pow.f64 x 7)) (+.f64 (*.f64 61/120 (pow.f64 x 5)) x)))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0))
(+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) 0))
(+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0))
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(+.f64 (.f64 0 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0))
(-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) 0))
(-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 0 (pow.f64 (cos.f64 x) 2))))
(-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0))
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(-.f64 (.f64 0 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))
(.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))))
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))
(.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6)))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 4)) (.f64 -2/45 (pow.f64 x 6)))))
x
(+.f64 (*.f64 5/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 5/6 (pow.f64 x 3)))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 (.f64 61/120 (pow.f64 x 5)) x))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 x (.f64 61/120 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 5/6 (pow.f64 x 3)) (.f64 61/120 (pow.f64 x 5))))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 (.f64 277/1008 (pow.f64 x 7)) (+.f64 (*.f64 61/120 (pow.f64 x 5)) x)))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 (.f64 61/120 (pow.f64 x 5)) (+.f64 (*.f64 277/1008 (pow.f64 x 7)) x)))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 277/1008 (pow.f64 x 7)) (*.f64 61/120 (pow.f64 x 5)))))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 61/120 (pow.f64 x 5)) (*.f64 277/1008 (pow.f64 x 7)))))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(pow.f64 (cos.f64 x) 2)
(+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0))
(pow.f64 (cos.f64 x) 2)
(+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) 0))
(pow.f64 (cos.f64 x) 2)
(+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0))
(pow.f64 (cos.f64 x) 2)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(+.f64 (.f64 0 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(pow.f64 (cos.f64 x) 2)
(-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0))
(pow.f64 (cos.f64 x) 2)
(-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) 0))
(pow.f64 (cos.f64 x) 2)
(-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 0 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0))
(pow.f64 (cos.f64 x) 2)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(-.f64 (.f64 0 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (cos.f64 x) 2) (.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
(.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 0 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(pow.f64 (cos.f64 x) 2)
(.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
(.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 0 (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 0 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
(.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 0 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
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(pow.f64 (cos.f64 x) 2)
(.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
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(.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))
(.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))
(neg.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))

eval937.0ms (6.1%)

Compiler: Compiled 60123 to 17485 computations (70.9% saved)

prune627.0ms (4.1%)

Pruning

41 alts after pruning (31 fresh and 10 done)

	Pruned	Kept	Total
New	1504	10	1514
Fresh	8	21	29
Picked	1	0	1
Done	3	10	13
Total	1516	41	1557

Error

13.8b

Counts

1557 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	54.6b	(-.f64 (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) (sin.f64 x))
✓	54.2b	(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
	40.5b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	55.3b	(-.f64 (+.f64 eps x) (sin.f64 x))
	39.0b	(-.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (sin.f64 (+.f64 x eps)))) (sin.f64 (+.f64 x eps))) (sin.f64 x))
✓	61.1b	(-.f64 (*.f64 (cos.f64 eps) x) x)
✓	38.9b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	39.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	61.2b	(-.f64 x x)
✓	31.7b	(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
	32.2b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (pow.f64 eps 3)))
✓	31.6b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	31.8b	(+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
✓	31.3b	(+.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) x) x))
	48.4b	(+.f64 eps (.f64 eps (.f64 -1/2 (pow.f64 x 2))))
	31.6b	(.f64 (/.f64 eps (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))
	39.2b	(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps)))
	40.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
	40.5b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))))
	55.1b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) (+.f64 (.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (*.f64 (cos.f64 x) eps)))))
	40.4b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)))))
	40.4b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (sin.f64 (+.f64 x eps)))) (sin.f64 (+.f64 x eps))) (sin.f64 x)))))
	40.1b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))))
	40.0b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (+.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) x) x)))))
	40.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))
	54.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) (+.f64 (.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (*.f64 (cos.f64 x) eps)))))
	40.7b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
	42.0b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (*.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (/.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
	39.1b	(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (cos.f64 x))
✓	61.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
	39.9b	(.f64 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps))))
	61.1b	(.f64 (+.f64 (cos.f64 eps) -1) (.f64 x (*.f64 x (/.f64 1 x))))
✓	31.5b	(.f64 (.f64 (cos.f64 x) (/.f64 eps (cos.f64 x))) (cos.f64 x))
	31.6b	(.f64 (.f64 eps (/.f64 (cos.f64 x) eps)) eps)
	31.5b	(.f64 (cos.f64 x) (.f64 eps (*.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))))
✓	31.5b	(*.f64 (cos.f64 x) eps)
	61.1b	(.f64 x (-.f64 (cos.f64 eps) (.f64 x (/.f64 1 x))))
	61.1b	(.f64 x (.f64 x (/.f64 (+.f64 (cos.f64 eps) -1) x)))
	31.6b	(.f64 eps (.f64 (cos.f64 x) (*.f64 eps (/.f64 1 eps))))
✓	29.8b	(sin.f64 eps)
	46.0b	eps

Compiler

Compiled 785 to 436 computations (44.5% saved)

regimes189.0ms (1.2%)

Counts

59 → 3

Calls

Call 1

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

Outputs

(sin.f64 eps)

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

(-.f64 (sin.f64 eps) (sin.f64 x))

Calls

3 calls:

68.0ms	x
66.0ms	eps
37.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
16.4b	3	`x`
14.6b	3	`eps`
15.2b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1143 to 398 computations (65.2% saved)

bsearch74.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.0002164513431476539	0.6446687606685534
41.0ms	-260.2726340410282	-8.156368069567836e-7

Results

29.0ms	171×	body	256	valid
25.0ms	61×	body	1024	valid
10.0ms	33×	body	512	valid
5.0ms	7×	body	2048	valid

Compiler

Compiled 701 to 502 computations (28.4% saved)

regimes148.0ms (1%)

Counts

47 → 3

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	eps
52.0ms	x
30.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
16.5b	3	`x`
14.7b	3	`eps`
15.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 689 to 261 computations (62.1% saved)

bsearch78.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	0.0002164513431476539	0.6446687606685534
42.0ms	-260.2726340410282	-8.156368069567836e-7

Results

31.0ms	68×	body	1024	valid
27.0ms	162×	body	256	valid
9.0ms	32×	body	512	valid
7.0ms	10×	body	2048	valid

Compiler

Compiled 548 to 400 computations (27% saved)

regimes117.0ms (0.8%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	eps
41.0ms	x
26.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
16.5b	3	`x`
14.9b	3	`eps`
15.3b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 426 to 180 computations (57.7% saved)

bsearch76.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	0.0002164513431476539	0.6446687606685534
39.0ms	-260.2726340410282	-8.156368069567836e-7

Results

28.0ms	165×	body	256	valid
26.0ms	64×	body	1024	valid
10.0ms	35×	body	512	valid
8.0ms	8×	body	2048	valid

Compiler

Compiled 395 to 298 computations (24.6% saved)

regimes91.0ms (0.6%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	eps
31.0ms	x
21.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
16.6b	3	`x`
15.1b	3	`eps`
15.5b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 252 to 106 computations (57.9% saved)

bsearch72.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.0002164513431476539	0.6446687606685534
39.0ms	-260.2726340410282	-8.156368069567836e-7

Results

27.0ms	70×	body	1024	valid
25.0ms	160×	body	256	valid
8.0ms	30×	body	512	valid
8.0ms	12×	body	2048	valid

Compiler

Compiled 344 to 264 computations (23.3% saved)

regimes63.0ms (0.4%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	eps
22.0ms	x
15.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
16.6b	3	`x`
15.1b	3	`eps`
15.5b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 139 to 66 computations (52.5% saved)

bsearch79.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	2.5456605829395297e-12	0.00014332116320232206
38.0ms	-355389465185379400.0	-229990.72338755406

Results

29.0ms	190×	body	256	valid
27.0ms	63×	body	1024	valid
11.0ms	16×	body	2048	valid
10.0ms	35×	body	512	valid

Compiler

Compiled 299 to 219 computations (26.8% saved)

regimes40.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	x
18.0ms	eps

Results

Error	Segments	Branch
16.6b	3	`x`
15.4b	3	`eps`

Compiler

Compiled 95 to 50 computations (47.4% saved)

bsearch81.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	2.5456605829395297e-12	0.00014332116320232206
42.0ms	-355389465185379400.0	-229990.72338755406

Results

33.0ms	81×	body	1024	valid
27.0ms	175×	body	256	valid
11.0ms	38×	body	512	valid
7.0ms	10×	body	2048	valid

Compiler

Compiled 242 to 181 computations (25.2% saved)

regimes7.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
29.8b	1	`x`
29.8b	1	`eps`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0%)

Accuracy

Total -15.7b remaining (-34.1%)

Threshold costs -15.7b (-34.1%)

Counts

2 → 1

Calls

Call 1

Inputs
eps
(-.f64 x x)

Outputs
eps

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
46.0b	1	`x`
46.0b	1	`eps`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	486

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -7566047373982433/72057594037927936) (sin.f64 eps) (if (<=.f64 eps 3422735716801577/18014398509481984) (+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -8070450532247929/576460752303423488) (sin.f64 eps) (if (<=.f64 eps 1080863910568919/36028797018963968) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (sin.f64 eps) (if (<=.f64 eps 5188146770730811/1152921504606846976) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1152921504606847/288230376151711744) (sin.f64 eps) (if (<=.f64 eps 3458764513820541/288230376151711744) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (pow.f64 eps 3))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -230000) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4980620899901579/36893488147419103232) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -230000) (sin.f64 eps) (if (<=.f64 eps 3984496719921263/295147905179352825856) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Outputs
(if (<=.f64 eps -7566047373982433/72057594037927936) (sin.f64 eps) (if (<=.f64 eps 3422735716801577/18014398509481984) (+.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -8070450532247929/576460752303423488) (sin.f64 eps) (if (<=.f64 eps 1080863910568919/36028797018963968) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1890791267555229/2305843009213693952) (sin.f64 eps) (if (<=.f64 eps 5188146770730811/1152921504606846976) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1152921504606847/288230376151711744) (sin.f64 eps) (if (<=.f64 eps 3458764513820541/288230376151711744) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/6 (pow.f64 eps 3))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -230000) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4980620899901579/36893488147419103232) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -230000) (sin.f64 eps) (if (<=.f64 eps 3984496719921263/295147905179352825856) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Compiler

Compiled 193 to 122 computations (36.8% saved)

soundness359.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

1268×	`rational_best_oopsla_all_46_json_45_simplify-23`
1268×	`rational_best_oopsla_all_46_json_45_simplify-23`
1108×	`rational_best_oopsla_all_46_json_45_simplify-36`
1108×	`rational_best_oopsla_all_46_json_45_simplify-36`
986×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	246	2836
1	982	2804
2	6588	2804
0	246	2836
1	982	2804
2	6588	2804

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 268 to 155 computations (42.2% saved)

end72.0ms (0.5%)

Compiler: Compiled 179 to 85 computations (52.5% saved)