Details

analyze1.0ms (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)

sample11.3s (40.6%)

Results

4.9s	2086×	body	2048	valid
4.6s	3956×	body	1024	valid
1.6s	1425×	body	512	valid
180.0ms	787×	body	256	valid
4.0ms	2×	body	4096	valid

Bogosity

preprocess231.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1582×	`trig.json-simplify-41`
918×	`trig.json-simplify-20`
810×	`rational.json-simplify-64`
742×	`rational.json-simplify-1`
698×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	38	42
2	145	42
3	454	42
4	1298	42
5	3546	42
6	5903	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1866×	`rational.json-simplify-41`
1526×	`rational.json-simplify-1`
1186×	`rational.json-simplify-64`
1134×	`rational.json-simplify-45`
1058×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	28	21
2	78	21
3	254	21
4	782	21
5	2203	21
6	5777	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

40.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.2b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
1.0ms	x	@	0	(cos.f64 (+.f64 x eps))
1.0ms	eps	@	0	(cos.f64 (+.f64 x eps))
0.0ms	eps	@	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms	x	@	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

rewrite186.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`rational.json-5`
1416×	`exponential.json-3`
1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	93	32
2	430	32
3	2098	32

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

Outputs

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

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

simplify185.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1092×	`rational.json-simplify-2`
1072×	`rational.json-simplify-49`
1046×	`rational.json-simplify-1`
1030×	`rational.json-simplify-41`
780×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	1970
1	373	1944
2	1232	1944
3	4033	1944

Stop Event

1×	node limit

Counts

94 → 116

Calls

Call 1

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

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

eval50.0ms (0.2%)

Compiler: Compiled 2010 to 841 computations (58.2% saved)

prune187.0ms (0.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	99	17	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	18	117

Error

0.6b

Counts

117 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	56.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
	41.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	40.7b	(-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	52.1b	(-.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (cos.f64 x))
▶	52.3b	(-.f64 (sin.f64 (-.f64 eps (-.f64 (neg.f64 x) (/.f64 (PI.f64) 2)))) (cos.f64 x))
✓	40.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	40.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	40.3b	(-.f64 (cos.f64 eps) 1)
	33.5b	(+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 4) 1/24)) (.f64 (sin.f64 x) (*.f64 (pow.f64 eps 3) 1/6))))
▶	33.5b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
	33.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
	41.7b	(+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2))) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))))
▶	41.3b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
	47.0b	(.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	47.0b	(.f64 (.f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
	39.4b	(*.f64 (sin.f64 x) (neg.f64 eps))

Compiler

Compiled 635 to 364 computations (42.7% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.2b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	3.2b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series13.0ms (0%)

Counts

4 → 64

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
2.0ms	x	@	-inf	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
2.0ms	eps	@	inf	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
1.0ms	eps	@	-inf	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
1.0ms	x	@	0	(*.f64 (sin.f64 x) (sin.f64 eps))

rewrite245.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1982×	`rational.json-5`
1980×	`exponential.json-3`
1980×	`rational.json-1`
1980×	`rational.json-2`
1980×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	136	62
2	641	62
3	3218	62

Stop Event

1×	node limit

Counts

4 → 70

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (neg.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (neg.f64 (-.f64 (neg.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (neg.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 eps (-.f64 (/.f64 (PI.f64) 2) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 eps x)) (sin.f64 (+.f64 (neg.f64 eps) (-.f64 (/.f64 (PI.f64) 2) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (-.f64 (/.f64 (PI.f64) 2) eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (+.f64 (neg.f64 x) (-.f64 (/.f64 (PI.f64) 2) eps))) (cos.f64 (+.f64 eps (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 x (neg.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 eps (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 (neg.f64 x) (neg.f64 eps))) (cos.f64 (+.f64 (neg.f64 x) (neg.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 (-.f64 x (neg.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 (neg.f64 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (+.f64 (neg.f64 (neg.f64 eps)) (-.f64 (/.f64 (PI.f64) 2) x))) (sin.f64 (-.f64 (-.f64 (/.f64 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simplify205.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-1`
1364×	`rational.json-simplify-2`
1176×	`rational.json-simplify-46`
886×	`rational.json-simplify-44`
634×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	3786
1	929	3160
2	2285	3080
3	6685	3080

Stop Event

1×	node limit

Counts

134 → 183

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite249.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`rational.json-simplify-2`
744×	`rational.json-simplify-42`
652×	`rational.json-simplify-1`
636×	`rational.json-simplify-45`
618×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	67	11
2	249	11
3	1011	11
4	4816	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify265.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1022×	`rational.json-simplify-46`
948×	`rational.json-simplify-49`
780×	`rational.json-simplify-111`
652×	`rational.json-simplify-2`
640×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	413
1	156	413
2	400	413
3	1289	413
4	4042	413
5	7116	413

Stop Event

1×	node limit

Counts

27 → 33

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 eps)
✓	0.0b	(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))
✓	0.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
✓	1.8b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series10.0ms (0%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
1.0ms	eps	@	inf	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
1.0ms	eps	@	-inf	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
1.0ms	x	@	0	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
1.0ms	x	@	inf	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))

rewrite171.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`rational.json-simplify-1`
936×	`rational.json-5`
934×	`exponential.json-3`
934×	`rational.json-1`
934×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	115	76
2	414	76
3	1648	76
4	7577	76

Stop Event

1×	node limit

Counts

4 → 56

Calls

Call 1

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

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

simplify160.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1444×	`rational.json-simplify-49`
1278×	`rational.json-simplify-2`
1120×	`rational.json-simplify-54`
912×	`rational.json-simplify-50`
734×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	2886
1	359	2856
2	960	2856
3	2908	2728

Stop Event

1×	node limit

Counts

132 → 130

Calls

Call 1

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

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

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 x) (/.f64 (PI.f64) 2))
✓	0.0b	(-.f64 eps (-.f64 (neg.f64 x) (/.f64 (PI.f64) 2)))
✓	2.2b	(-.f64 (sin.f64 (-.f64 eps (-.f64 (neg.f64 x) (/.f64 (PI.f64) 2)))) (cos.f64 x))
✓	5.3b	(sin.f64 (-.f64 eps (-.f64 (neg.f64 x) (/.f64 (PI.f64) 2))))

Compiler

Compiled 48 to 26 computations (45.8% saved)

series7.0ms (0%)

Counts

4 → 84

Calls

21 calls:

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

rewrite139.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`rational.json-5`
1116×	`exponential.json-3`
1116×	`rational.json-1`
1116×	`rational.json-2`
1116×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	112
1	135	84
2	496	84
3	2093	72

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

Inputs
(sin.f64 (-.f64 eps (-.f64 (neg.f64 x) (/.f64 (PI.f64) 2))))
(-.f64 (sin.f64 (-.f64 eps (-.f64 (neg.f64 x) (/.f64 (PI.f64) 2)))) (cos.f64 x))
(-.f64 eps (-.f64 (neg.f64 x) (/.f64 (PI.f64) 2)))
(-.f64 (neg.f64 x) (/.f64 (PI.f64) 2))

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

simplify244.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1422×	`rational.json-simplify-54`
1150×	`rational.json-simplify-50`
600×	`rational.json-simplify-2`
536×	`rational.json-simplify-47`
436×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	4626
1	503	4610
2	1576	4514
3	5726	4514

Stop Event

1×	node limit

Counts

164 → 169

Calls

Call 1

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

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

localize72.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	0.1b	(.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))
✓	2.4b	(*.f64 (sin.f64 x) (pow.f64 eps 3))
✓	9.3b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))

Compiler

Compiled 92 to 54 computations (41.3% saved)

series23.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	0	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))
3.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))
2.0ms	x	@	-inf	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))
1.0ms	eps	@	inf	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))
1.0ms	eps	@	0	(*.f64 (sin.f64 x) (neg.f64 eps))

rewrite124.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1250×	`rational.json-5`
1248×	`exponential.json-3`
1248×	`rational.json-1`
1248×	`rational.json-2`
1248×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	106
1	181	106
2	595	106
3	2334	106

Stop Event

1×	node limit

Counts

4 → 28

Calls

Call 1

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

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

simplify264.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1698×	`rational.json-simplify-49`
1070×	`rational.json-simplify-54`
894×	`rational.json-simplify-50`
812×	`rational.json-simplify-41`
804×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	3828
1	287	3738
2	701	3648
3	2314	3648
4	6379	3648

Stop Event

1×	node limit

Counts

124 → 100

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (pow.f64 eps 3) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(.f64 1/6 (.f64 (pow.f64 eps 3) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(+.f64 (.f64 1/720 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(+.f64 (.f64 -1/30240 (.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) 0)
(.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(.f64 1 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))) (/.f64 1 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))))
(.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))))) (/.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))))
(/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))))
(pow.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(+.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (pow.f64 eps 3)))
(-.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 0)
(/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1)
(/.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) (/.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1)
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) 0)
(+.f64 0 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))
(-.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) 0)
(/.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) 1)
(/.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (/.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/3)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/3))))
(pow.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) 1)
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(/.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)
(/.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (/.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps))))
(pow.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 1/4 (pow.f64 (*.f64 eps x) 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/36 (pow.f64 (.f64 eps x) 3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 1/4 (pow.f64 (*.f64 eps x) 2)))))
(+.f64 (.f64 -1/36 (pow.f64 (.f64 eps x) 3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 -1/2 (.f64 1/4 (pow.f64 x 2)))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/36 (pow.f64 x 3)) (*.f64 1/6 x))))
(+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 1/6 x))) (.f64 (pow.f64 eps 2) (+.f64 -1/2 (*.f64 1/4 (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
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(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) 0)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(.f64 1 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))) (/.f64 1 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(.f64 (.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))))) (/.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))) (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(pow.f64 (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 0)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (pow.f64 eps 3)))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 0)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) (/.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) 0)
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6))
(.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))
(+.f64 0 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6))
(.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))
(-.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) 0)
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6))
(.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))
(/.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) 1)
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6))
(.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))
(/.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) (/.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/3)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/3))))
(/.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)) (/.f64 (.f64 (pow.f64 eps 3) (.f64 1/3 (sin.f64 x))) (.f64 (pow.f64 eps 3) (.f64 1/3 (sin.f64 x)))))
(/.f64 (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))) (/.f64 (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/3)) (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/3))))
(/.f64 (.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3))) (/.f64 (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/3)) (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/3))))
(pow.f64 (.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))) 1)
(.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6))
(.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/6 (pow.f64 eps 3)))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.f64 0 (*.f64 (sin.f64 x) (neg.f64 eps)))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(-.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 0)
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(/.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (/.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps))))
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1)
(.f64 eps (.f64 (sin.f64 x) -1))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))

eval626.0ms (2.2%)

Compiler: Compiled 13561 to 7178 computations (47.1% saved)

prune262.0ms (0.9%)

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	593	22	615
Fresh	5	7	12
Picked	0	1	1
Done	1	4	5
Total	599	34	633

Error

0.5b

Counts

633 → 34

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	41.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) x)) (cos.f64 x))
▶	7.3b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	56.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
	41.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	40.7b	(-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	24.2b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	52.1b	(-.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (cos.f64 x))
	57.5b	(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
	53.0b	(-.f64 (sin.f64 (+.f64 eps (*.f64 1/2 (PI.f64)))) 1)
	57.2b	(-.f64 (sin.f64 x) (cos.f64 x))
	57.6b	(-.f64 (sin.f64 eps) (cos.f64 x))
✓	40.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	40.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.3b	(-.f64 (cos.f64 eps) 1)
	36.5b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (neg.f64 x)))
✓	33.5b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
	40.5b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x))))
	33.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
	45.9b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
▶	51.0b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
▶	50.9b	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
	41.3b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	57.1b	(+.f64 -1 (-.f64 1 (*.f64 eps x)))
✓	41.3b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
	41.6b	(+.f64 -1 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps))))) (.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))))))
▶	56.9b	(+.f64 -1 1)
	46.4b	(.f64 (/.f64 (/.f64 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))))
	46.3b	(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	46.4b	(.f64 (.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (.f64 (.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 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)))))
	39.4b	(*.f64 (sin.f64 x) (neg.f64 eps))
	51.9b	(*.f64 (sin.f64 eps) (neg.f64 x))
	52.2b	(*.f64 eps (neg.f64 x))
	50.7b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 976 to 658 computations (32.6% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 eps) (cos.f64 x))
✓	0.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
✓	0.2b	(*.f64 (sin.f64 eps) (sin.f64 x))
✓	1.8b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series5.0ms (0%)

Counts

4 → 80

Calls

24 calls:

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

rewrite129.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`rational.json-5`
1914×	`exponential.json-3`
1914×	`rational.json-1`
1914×	`rational.json-2`
1914×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	100
1	134	72
2	632	72
3	3156	72

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify212.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational.json-simplify-47`
1052×	`rational.json-simplify-49`
790×	`rational.json-simplify-44`
744×	`rational.json-simplify-43`
632×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	369	4465
1	938	3851
2	2185	3667
3	5954	3517

Stop Event

1×	node limit

Counts

147 → 191

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.1b	(-.f64 (cos.f64 eps) (cos.f64 x))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite172.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`rational.json-simplify-1`
986×	`rational.json-5`
984×	`exponential.json-3`
984×	`rational.json-1`
984×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	78	15
2	323	15
3	1471	15
4	7569	15

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify217.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-47`
1134×	`rational.json-simplify-2`
1060×	`rational.json-simplify-44`
1044×	`rational.json-simplify-49`
1034×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	584
1	159	584
2	275	584
3	571	584
4	2019	584
5	6436	584

Stop Event

1×	node limit

Counts

26 → 55

Calls

Call 1

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

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

localize30.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 eps 4)
✓	0.1b	(*.f64 1/24 (pow.f64 eps 4))
✓	13.8b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))

Compiler

Compiled 34 to 27 computations (20.6% saved)

series5.0ms (0%)

Counts

3 → 3

Calls

9 calls:

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

rewrite124.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`rational.json-5`
1812×	`exponential.json-3`
1812×	`rational.json-1`
1812×	`rational.json-2`
1812×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	97	51
2	272	51
3	952	51
4	3725	51

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

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

Outputs

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

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

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

simplify193.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1228×	`rational.json-simplify-47`
916×	`exponential.json-simplify-26`
900×	`rational.json-simplify-2`
850×	`rational.json-simplify-111`
754×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	549
1	112	549
2	333	549
3	1398	549
4	4975	549

Stop Event

1×	node limit

Counts

33 → 34

Calls

Call 1

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

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

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
✓	0.0b	(*.f64 -1/720 (pow.f64 eps 6))
	0.1b	(*.f64 1/24 (pow.f64 eps 4))
✓	25.5b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))

Compiler

Compiled 61 to 49 computations (19.7% saved)

series4.0ms (0%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))
1.0ms	eps	@	0	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))
0.0ms	eps	@	inf	(*.f64 -1/720 (pow.f64 eps 6))
0.0ms	eps	@	0	(*.f64 -1/720 (pow.f64 eps 6))
0.0ms	eps	@	inf	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))

rewrite193.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`rational.json-simplify-54`
860×	`rational.json-simplify-47`
684×	`rational.json-simplify-49`
646×	`rational.json-simplify-1`
608×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	93
1	139	93
2	385	93
3	1359	93
4	5379	93

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs

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

(*.f64 -1/720 (pow.f64 eps 6))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 eps 4)) (neg.f64 (*.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/720 (pow.f64 eps 6)) (neg.f64 (*.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (*.f64 1/24 (pow.f64 eps 4))) (*.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 1/24 (pow.f64 eps 4)))) (-.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/720 (pow.f64 eps 6)))) (-.f64 1 (*.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 -1/720 (pow.f64 eps 6)) (-.f64 -1 (*.f64 1/24 (pow.f64 eps 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (-.f64 -1 (*.f64 -1/720 (pow.f64 eps 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (/.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (/.f64 (/.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))) (/.f64 (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))) (/.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) 1) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))) (*.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))) (*.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (/.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 1/24 (pow.f64 eps 4))) (*.f64 -1/720 (pow.f64 eps 6))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 eps 4)) (-.f64 (neg.f64 (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/720 (pow.f64 eps 6)) (-.f64 (neg.f64 (*.f64 1/24 (pow.f64 eps 4))) (*.f64 -1/2 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))) (neg.f64 (*.f64 -1/2 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (neg.f64 (*.f64 1/24 (pow.f64 eps 4))) (*.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 -1/2 (pow.f64 eps 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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simplify187.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1166×	`rational.json-simplify-2`
1110×	`rational.json-simplify-54`
1012×	`rational.json-simplify-1`
1004×	`rational.json-simplify-50`
770×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	2992
1	369	2992
2	1048	2992
3	4207	2992

Stop Event

1×	node limit

Counts

82 → 75

Calls

Call 1

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

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

eval310.0ms (1.1%)

Compiler: Compiled 8904 to 5482 computations (38.4% saved)

prune570.0ms (2%)

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	354	7	361
Fresh	2	22	24
Picked	0	1	1
Done	2	7	9
Total	358	37	395

Error

0.4b

Counts

395 → 37

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
▶	41.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) x)) (cos.f64 x))
✓	7.3b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	37.5b	(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
	34.6b	(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
	22.2b	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (sin.f64 x)))
	56.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
	41.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	40.7b	(-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))
▶	7.2b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	33.2b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
	24.2b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
▶	52.1b	(-.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (cos.f64 x))
	57.5b	(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))
	53.0b	(-.f64 (sin.f64 (+.f64 eps (*.f64 1/2 (PI.f64)))) 1)
▶	57.2b	(-.f64 (sin.f64 x) (cos.f64 x))
	57.6b	(-.f64 (sin.f64 eps) (cos.f64 x))
✓	40.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.3b	(-.f64 (cos.f64 eps) 1)
	55.6b	(-.f64 1 (cos.f64 x))
	40.1b	(+.f64 (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 eps))) 1)
	36.5b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (neg.f64 x)))
	33.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
	45.9b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
✓	51.0b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
✓	50.9b	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
	41.3b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	57.1b	(+.f64 -1 (-.f64 1 (*.f64 eps x)))
✓	41.3b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
	41.6b	(+.f64 -1 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps))))) (.f64 (+.f64 (cos.f64 eps) (.f64 x (sin.f64 (neg.f64 eps)))) (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 (neg.f64 eps)))))))
✓	56.9b	(+.f64 -1 1)
	46.4b	(.f64 (/.f64 (/.f64 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))))
	46.3b	(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	46.4b	(.f64 (.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (.f64 (.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 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)))))
	39.4b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	52.2b	(*.f64 eps (neg.f64 x))
	50.7b	(*.f64 -1/2 (pow.f64 eps 2))

Compiler

Compiled 1008 to 681 computations (32.4% saved)

localize170.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))
✓	0.1b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	0.2b	(*.f64 (sin.f64 eps) (sin.f64 x))
✓	1.8b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite187.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`rational.json-5`
1324×	`exponential.json-3`
1324×	`rational.json-1`
1324×	`rational.json-2`
1324×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	133	73
2	493	73
3	2142	73

Stop Event

1×	node limit

Counts

3 → 34

Calls

Call 1

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

Outputs

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

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

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

simplify239.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational.json-simplify-111`
1120×	`rational.json-simplify-49`
1088×	`rational.json-simplify-2`
858×	`rational.json-simplify-1`
828×	`rational.json-simplify-54`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	143	3104
1	318	3090
2	834	3058
3	2187	3058
4	5800	3046

Stop Event

1×	node limit

Counts

94 → 112

Calls

Call 1

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

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

localize9.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (sin.f64 x) (cos.f64 x))

Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite122.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1036×	`rational.json-simplify-44`
942×	`rational.json-simplify-2`
712×	`rational.json-5`
710×	`exponential.json-3`
710×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	68	15
2	281	15
3	1180	15
4	5511	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify184.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1444×	`rational.json-simplify-49`
1396×	`rational.json-simplify-2`
1152×	`rational.json-simplify-50`
964×	`rational.json-simplify-43`
872×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	431
1	116	431
2	339	431
3	1718	431
4	5792	431

Stop Event

1×	node limit

Counts

27 → 39

Calls

Call 1

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

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

localize42.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))
✓	1.9b	(-.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (cos.f64 x))
✓	5.4b	(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))

Compiler

Compiled 40 to 20 computations (50% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))
1.0ms	x	@	0	(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))
0.0ms	x	@	0	(-.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (cos.f64 x))
0.0ms	eps	@	0	(-.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (cos.f64 x))
0.0ms	x	@	-inf	(-.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (cos.f64 x))

rewrite121.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`rational.json-5`
1244×	`exponential.json-3`
1244×	`rational.json-1`
1244×	`rational.json-2`
1244×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	122	53
2	437	53
3	2042	53

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps)))
(-.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (PI.f64) 2) (+.f64 x eps))

Outputs

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

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

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

simplify195.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1106×	`rational.json-simplify-2`
1080×	`rational.json-simplify-1`
932×	`rational.json-simplify-49`
880×	`rational.json-simplify-41`
810×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	190	3932
1	439	3882
2	1252	3882
3	4175	3882

Stop Event

1×	node limit

Counts

134 → 148

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 9 computations (78.6% saved)

series5.0ms (0%)

Counts

3 → 52

Calls

18 calls:

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

rewrite122.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1840×	`rational.json-5`
1838×	`exponential.json-3`
1838×	`rational.json-1`
1838×	`rational.json-2`
1838×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	83
1	124	79
2	591	79
3	3007	79

Stop Event

1×	node limit

Counts

3 → 24

Calls

Call 1

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

Outputs

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

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

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

simplify188.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational.json-simplify-1`
960×	`rational.json-simplify-50`
922×	`rational.json-simplify-41`
718×	`rational.json-simplify-2`
660×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	130	2586
1	293	2528
2	677	2500
3	1869	2460
4	5128	2448

Stop Event

1×	node limit

Counts

76 → 129

Calls

Call 1

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

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

eval233.0ms (0.8%)

Compiler: Compiled 11491 to 5706 computations (50.3% saved)

prune127.0ms (0.5%)

Pruning

45 alts after pruning (33 fresh and 12 done)

	Pruned	Kept	Total
New	517	12	529
Fresh	3	21	24
Picked	0	1	1
Done	1	11	12
Total	521	45	566

Error

0.4b

Counts

566 → 45

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓	41.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) x)) (cos.f64 x))
✓	7.3b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	37.5b	(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
	34.6b	(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
	22.2b	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (sin.f64 x)))
	56.3b	(-.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) (cos.f64 x))
	41.4b	(-.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (cos.f64 x))
	40.7b	(-.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	7.2b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	36.4b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) x))
	32.5b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 eps (sin.f64 x)))
	30.3b	(-.f64 (.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	33.2b	(-.f64 (.f64 (.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
	24.2b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	52.9b	(-.f64 (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps)) 1)
	53.0b	(-.f64 (sin.f64 (+.f64 eps (*.f64 1/2 (PI.f64)))) 1)
	57.2b	(-.f64 (sin.f64 (neg.f64 x)) (cos.f64 x))
	57.5b	(-.f64 (sin.f64 (neg.f64 eps)) (cos.f64 x))
✓	57.2b	(-.f64 (sin.f64 x) (cos.f64 x))
	57.6b	(-.f64 (sin.f64 eps) (cos.f64 x))
✓	40.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.3b	(-.f64 (cos.f64 eps) 1)
	59.2b	(-.f64 x 1)
	55.6b	(-.f64 1 (cos.f64 x))
	24.3b	(+.f64 (-.f64 -1 (-.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) 1)
	40.1b	(+.f64 (-.f64 -1 (-.f64 (cos.f64 x) (cos.f64 eps))) 1)
	36.5b	(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (neg.f64 x)))
	33.2b	(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
	45.9b	(+.f64 (.f64 eps (neg.f64 x)) (.f64 -1/2 (pow.f64 eps 2)))
✓	51.0b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
✓	50.9b	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
	41.3b	(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
	57.1b	(+.f64 -1 (-.f64 1 (*.f64 eps x)))
✓	41.3b	(+.f64 -1 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))
✓	56.9b	(+.f64 -1 1)
	46.4b	(.f64 (/.f64 (/.f64 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))))
	21.1b	(.f64 (/.f64 1 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) (.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
	46.3b	(.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
	26.0b	(.f64 (.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))) (/.f64 (/.f64 1 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) (.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
	46.4b	(.f64 (.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (.f64 (.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 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)))))
	39.4b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	52.2b	(*.f64 eps (neg.f64 x))
	50.7b	(*.f64 -1/2 (pow.f64 eps 2))
	58.0b	-1

Compiler

Compiled 750 to 494 computations (34.1% saved)

regimes278.0ms (1%)

Counts

59 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

126.0ms	x
91.0ms	eps
38.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
5.8b	3	`x`
0.6b	3	`eps`
7.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 941 to 393 computations (58.2% saved)

bsearch79.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.00540891725820894	910.5038392464637
44.0ms	-33453004128473884.0	-0.0038110623148759157

Results

28.0ms	196×	body	256	valid
24.0ms	59×	body	1024	valid
18.0ms	48×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 993 to 703 computations (29.2% saved)

regimes230.0ms (0.8%)

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

102.0ms	x
81.0ms	eps
23.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
5.8b	3	`x`
0.7b	3	`eps`
7.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 598 to 248 computations (58.5% saved)

bsearch70.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	1.1547338729070452e-14	0.00540891725820894
27.0ms	-0.0038110623148759157	-0.00010622110017582293

Results

26.0ms	171×	body	256	valid
24.0ms	61×	body	1024	valid
9.0ms	34×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 582 to 428 computations (26.5% saved)

regimes201.0ms (0.7%)

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

101.0ms	x
68.0ms	eps
17.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
5.8b	3	`x`
0.7b	3	`eps`
7.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 467 to 207 computations (55.7% saved)

bsearch71.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	1.1547338729070452e-14	0.00540891725820894
32.0ms	-0.0038110623148759157	-0.00010622110017582293

Results

28.0ms	69×	body	1024	valid
24.0ms	165×	body	256	valid
7.0ms	29×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 575 to 435 computations (24.3% saved)

regimes169.0ms (0.6%)

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

80.0ms	x
60.0ms	eps
16.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
5.8b	3	`x`
0.8b	3	`eps`
7.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 368 to 169 computations (54.1% saved)

bsearch77.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	1.1547338729070452e-14	0.00540891725820894
31.0ms	-0.0038110623148759157	-0.00010622110017582293

Results

33.0ms	63×	body	1024	valid
24.0ms	167×	body	256	valid
9.0ms	33×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 575 to 435 computations (24.3% saved)

regimes318.0ms (1.1%)

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

218.0ms	x
61.0ms	eps
27.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.8b	3	`x`
15.3b	3	`eps`
16.9b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 342 to 162 computations (52.6% saved)

bsearch229.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
184.0ms	1.1547338729070452e-14	0.00540891725820894
44.0ms	-0.0038110623148759157	-0.00010622110017582293

Results

164.0ms	175×	body	256	valid
40.0ms	68×	body	1024	valid
9.0ms	24×	body	512	valid
5.0ms	5×	body	2048	valid

Compiler

Compiled 541 to 401 computations (25.9% saved)

regimes262.0ms (0.9%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

3 calls:

121.0ms	x
87.0ms	eps
40.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.8b	3	`x`
15.6b	3	`eps`
17.1b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 320 to 160 computations (50% saved)

bsearch109.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	1.1547338729070452e-14	0.00540891725820894
41.0ms	-0.0038110623148759157	-0.00010622110017582293

Results

37.0ms	176×	body	256	valid
32.0ms	56×	body	1024	valid
14.0ms	6×	body	2048	valid
13.0ms	34×	body	512	valid

Compiler

Compiled 489 to 373 computations (23.7% saved)

regimes351.0ms (1.3%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

3 calls:

233.0ms	x
83.0ms	eps
23.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.8b	3	`x`
21.0b	3	`eps`
22.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 259 to 124 computations (52.1% saved)

bsearch410.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
290.0ms	8.394296106184747e-283	2.4989305026790768e-270
120.0ms	-2.9851374344024814e-297	-7.568375521132114e-304

Results

271.0ms	70×	body	2048	valid
106.0ms	124×	body	1024	valid
18.0ms	65×	body	512	valid
7.0ms	45×	body	256	valid

Compiler

Compiled 413 to 333 computations (19.4% saved)

regimes355.0ms (1.3%)

Counts

26 → 5

Calls

Call 1

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

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

Calls

3 calls:

198.0ms	eps
127.0ms	x
23.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
22.7b	5	`x`
21.4b	5	`eps`
23.9b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 180 to 96 computations (46.7% saved)

bsearch404.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	1.1547338729070452e-14	0.00540891725820894
61.0ms	-6.809614977049469e-113	-1.3720673922938978e-115
132.0ms	-5.158888139077178e-75	-1.8929446301081958e-76
173.0ms	-0.00010622110017582293	-1.3315794322621635e-6

Results

169.0ms	169×	body	256	valid
97.0ms	234×	body	1024	valid
24.0ms	36×	body	2048	valid
20.0ms	73×	body	512	valid

Compiler

Compiled 526 to 409 computations (22.2% saved)

regimes477.0ms (1.7%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

2 calls:

304.0ms	x
60.0ms	eps

Results

Error	Segments	Branch
25.5b	7	`x`
22.0b	5	`eps`

Compiler

Compiled 59 to 39 computations (33.9% saved)

bsearch764.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
91.0ms	1.1547338729070452e-14	0.00540891725820894
283.0ms	-6.809614977049469e-113	-1.3720673922938978e-115
190.0ms	-5.158888139077178e-75	-1.8929446301081958e-76
199.0ms	-0.00010622110017582293	-1.3315794322621635e-6

Results

283.0ms	242×	body	1024	valid
223.0ms	40×	body	2048	valid
203.0ms	71×	body	512	valid
39.0ms	159×	body	256	valid

Compiler

Compiled 509 to 409 computations (19.6% saved)

regimes206.0ms (0.7%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

2 calls:

145.0ms	eps
57.0ms	x

Results

Error	Segments	Branch
37.5b	5	`x`
31.2b	5	`eps`

Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch359.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
78.0ms	1.1547338729070452e-14	0.00540891725820894
114.0ms	2.970265987379178e-102	1.9637367699659036e-94
115.0ms	-7.126327483625569e-125	-6.67442321913811e-128
51.0ms	-0.0038110623148759157	-0.00010622110017582293

Results

189.0ms	250×	body	1024	valid
71.0ms	47×	body	2048	valid
55.0ms	186×	body	256	valid
27.0ms	61×	body	512	valid

Compiler

Compiled 524 to 435 computations (17% saved)

regimes66.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	eps
31.0ms	x

Results

Error	Segments	Branch
38.9b	3	`x`
35.6b	3	`eps`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch233.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.367981358382221e-28	3.507758359768094e-28
198.0ms	-1.3720673922938978e-115	-2.747090235844175e-118

Results

132.0ms	29×	body	2048	valid
83.0ms	113×	body	1024	valid
9.0ms	39×	body	256	valid
5.0ms	11×	body	512	valid

Compiler

Compiled 182 to 142 computations (22% saved)

regimes200.0ms (0.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

172.0ms	eps
24.0ms	x

Results

Error	Segments	Branch
50.1b	3	`x`
48.3b	3	`eps`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch129.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	4.714146251764122e-76	1.1313954618458444e-73
78.0ms	-1.4285171129026156e-90	-6.606852211776631e-101

Results

78.0ms	182×	body	1024	valid
31.0ms	36×	body	2048	valid
15.0ms	54×	body	512	valid

Compiler

Compiled 201 to 163 computations (18.9% saved)

regimes135.0ms (0.5%)

Accuracy

Total -9.3b remaining (-17.6%)

Threshold costs -9.3b (-17.6%)

Counts

3 → 3

Calls

Call 1

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

Outputs
-1
(+.f64 -1 1)
-1

Calls

2 calls:

123.0ms	x
10.0ms	eps

Results

Error	Segments	Branch
56.9b	1	`x`
53.0b	3	`eps`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch341.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
205.0ms	4.714146251764122e-76	1.1313954618458444e-73
136.0ms	-9.771257736876637e-61	-5.158888139077178e-75

Results

218.0ms	161×	body	1024	valid
95.0ms	79×	body	512	valid
23.0ms	32×	body	2048	valid

Compiler

Compiled 184 to 180 computations (2.2% saved)

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1376

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -4496393867966703/1152921504606846976) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3170534137668829/576460752303423488) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 4) 1/24)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -5902958103587057/36893488147419103232) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 2582544170319337/18446744073709551616) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 2582544170319337/18446744073709551616) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -3984496719921263/36893488147419103232) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 534955578137577/9223372036854775808) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -8070450532247929/2305843009213693952) (-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3458764513820541/2305843009213693952) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6456360425798343/2305843009213693952) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1936908127739503/4611686018427387904) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (-.f64 (cos.f64 eps) 1) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -4524042903795331/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (-.f64 (-.f64 (cos.f64 eps) 1) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 8894358555745383/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528) (.f64 -1/2 (pow.f64 eps 2)) (-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -7791904696734915/2361183241434822606848) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -3096294684028419/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps -1472980775001683/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 6139076427730539/590295810358705651712) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -6198106008766409/295147905179352825856) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -3096294684028419/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps -2772669694120815/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 2833419889721787/2361183241434822606848) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -5563663187819029/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 6619537040994273/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 2582544170319337/18446744073709551616) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -187155204353155/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6467216107573881/22300745198530623141535718272648361505980416) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -802724515596525/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) -1 (if (<=.f64 eps 1750577792162449/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (*.f64 eps (neg.f64 x)) -1))
(if (<=.f64 eps -1942668892225729/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) -1 (if (<=.f64 eps 1209490110948601/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 -1 1) -1))
-1

Outputs
(if (<=.f64 eps -4496393867966703/1152921504606846976) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3170534137668829/576460752303423488) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 eps 4) 1/24)) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) 1/6)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -5902958103587057/36893488147419103232) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 2582544170319337/18446744073709551616) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 2582544170319337/18446744073709551616) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -3984496719921263/36893488147419103232) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 534955578137577/9223372036854775808) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -8070450532247929/2305843009213693952) (-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3458764513820541/2305843009213693952) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6456360425798343/2305843009213693952) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1936908127739503/4611686018427387904) (+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (cos.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (-.f64 (-.f64 (cos.f64 eps) 1) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -4524042903795331/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (-.f64 (-.f64 (cos.f64 eps) 1) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 8894358555745383/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528) (.f64 -1/2 (pow.f64 eps 2)) (-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -7791904696734915/2361183241434822606848) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -3096294684028419/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps -1472980775001683/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 6139076427730539/590295810358705651712) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -6198106008766409/295147905179352825856) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -3096294684028419/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps -2772669694120815/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 2833419889721787/2361183241434822606848) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -5563663187819029/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (.f64 -1/2 (pow.f64 eps 2)) (if (<=.f64 eps 6619537040994273/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 2582544170319337/18446744073709551616) (*.f64 -1/2 (pow.f64 eps 2)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -187155204353155/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6467216107573881/22300745198530623141535718272648361505980416) (*.f64 eps (neg.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -802724515596525/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) -1 (if (<=.f64 eps 1750577792162449/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (*.f64 eps (neg.f64 x)) -1))
(if (<=.f64 eps -1942668892225729/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) -1 (if (<=.f64 eps 1209490110948601/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 -1 1) -1))
(if (<=.f64 eps -1942668892225729/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) -1 (if (<=.f64 eps 1209490110948601/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) 0 -1))
-1

Compiler

Compiled 518 to 312 computations (39.8% saved)

soundness1.0s (3.7%)

Algorithm

3×	egg-herbie

Rules

1524×	`rational.json-simplify-1`
1524×	`rational.json-simplify-1`
1364×	`rational.json-simplify-2`
1364×	`rational.json-simplify-2`
1176×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	355	3786
1	929	3160
2	2285	3080
3	6685	3080
0	157	1970
1	373	1944
2	1232	1944
3	4033	1944
0	355	3786
1	929	3160
2	2285	3080
3	6685	3080

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 502 to 250 computations (50.2% saved)

end396.0ms (1.4%)

Compiler: Compiled 492 to 233 computations (52.6% saved)