Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample7.2s (39%)

Results

3.8s	3563×	body	1024	valid
2.1s	1255×	body	2048	valid
683.0ms	1419×	body	512	valid
591.0ms	2016×	body	256	valid
35.0ms	3×	body	4096	valid

Bogosity

preprocess20.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

98×	`rational_best-simplify-2`
48×	`rational_best-simplify-44`
14×	`rational_best-simplify-5`
12×	`rational_best-simplify-48`
12×	`trigometric-prior-simplify-11`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	45	42
2	69	42
3	84	42
4	104	42
5	119	42
6	124	42
7	145	42
8	165	42
9	168	42
10	171	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify181.0ms (1%)

Algorithm

1×	egg-herbie

Rules

74×	`rational_best-simplify-2`
38×	`rational_best-simplify-44`
12×	`rational_best-simplify-5`
8×	`rational_best-simplify-48`
8×	`trigometric-prior-simplify-11`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	32	21
2	51	21
3	63	21
4	78	21
5	89	21
6	91	21
7	109	21
8	126	21
9	128	21
10	130	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

38.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	2.1b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series36.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	eps	@	0	(sin.f64 (+.f64 x eps))
0.0ms	eps	@	inf	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	x	@	0	(sin.f64 (+.f64 x eps))
0.0ms	eps	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	x	@	0	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

rewrite121.0ms (0.7%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

810×	`rational_best-5`
810×	`rational_best-2`
810×	`rational_best-3`
810×	`rational_best-1`
810×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	88	32
2	389	32
3	1511	32
4	7118	32
0	7	11
1	65	11
2	280	11
3	1096	11
4	4967	11
0	7	11
1	65	11
2	280	11
0	9	21
1	88	21
2	389	21
3	1511	21
4	7118	21
0	9	21
1	88	21
2	389	21

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 27

Calls

Call 1

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

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

Outputs

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

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

simplify334.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1022×	`rational_best-simplify-2`
874×	`rational_best-simplify-1`
836×	`rational_best-simplify-48`
702×	`rational_best-simplify-132`
514×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1631
1	307	1621
2	630	1581
3	1736	1581
4	3219	1581
5	5830	1581

Stop Event

1×	node limit

Counts

75 → 84

Calls

Call 1

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

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

eval20.0ms (0.1%)

Compiler: Compiled 1480 to 672 computations (54.6% saved)

prune201.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	69	15	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	16	85

Error

12.5b

Counts

85 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	39.4b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))) (sin.f64 x))
▶	39.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
▶	39.4b	(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
	40.5b	(-.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	38.3b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
✓	38.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.2b	(-.f64 (sin.f64 x) (sin.f64 x))
	38.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	29.4b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	30.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
	30.1b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	31.5b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
	31.5b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
▶	30.3b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)))
	42.0b	(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
▶	29.7b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 557 to 358 computations (35.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
✓	0.0b	(sin.f64 eps)
✓	0.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	2.4b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 28 to 14 computations (50% saved)

series4.0ms (0%)

Counts

4 → 19

Calls

18 calls:

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

rewrite196.0ms (1.1%)

Algorithm

4×	egg-rewrite-iter-limit
4×	egg-rewrite
1×	batch-egg-rewrite

Rules

782×	`rational_best-5`
782×	`rational_best-2`
782×	`rational_best-3`
782×	`rational_best-1`
782×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	97	60
2	382	60
3	1494	60
4	6954	60
0	7	11
1	63	11
2	264	11
3	985	11
4	4401	11
0	7	11
1	63	11
2	264	11
0	9	17
1	78	17
2	315	17
3	1211	17
4	5494	17
0	9	17
1	78	17
2	315	17
0	4	5
1	44	5
2	207	5
3	772	5
4	3564	5
0	4	5
1	44	5
2	207	5
0	11	27
1	97	27
2	382	27
3	1494	27
4	6954	27
0	11	27
1	97	27
2	382	27

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

4 → 44

Calls

Call 1

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

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

simplify203.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1048×	`rational_best-simplify-47`
744×	`rational_best-simplify-78`
726×	`rational_best-simplify-43`
676×	`rational_best-simplify-80`
606×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1275
1	273	1275
2	768	1245
3	2556	1245
4	4826	1245
5	7779	1245

Stop Event

1×	node limit

Counts

63 → 88

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite42.0ms (0.2%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

564×	`rational_best-5`
564×	`rational_best-2`
564×	`rational_best-3`
564×	`rational_best-1`
562×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	65	11
2	279	11
3	1077	11
4	5041	11
0	7	11
1	65	11
2	279	11

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify166.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1744×	`rational_best-simplify-80`
1346×	`rational_best-simplify-78`
1110×	`rational_best-simplify-44`
1032×	`rational_best-simplify-132`
956×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	258
1	77	246
2	145	240
3	289	240
4	927	240
5	2658	240
6	4370	240
7	6906	240

Stop Event

1×	node limit

Counts

14 → 20

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 eps)
✓	0.0b	(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
✓	0.1b	(*.f64 (cos.f64 eps) x)
✓	1.1b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series3.0ms (0%)

Counts

3 → 21

Calls

18 calls:

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

rewrite188.0ms (1%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

956×	`rational_best-5`
956×	`rational_best-2`
956×	`rational_best-3`
956×	`rational_best-1`
956×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	107	63
2	456	63
3	1783	63
0	11	31
1	107	31
2	456	31
3	1783	31
0	11	31
1	107	31
0	7	11
1	65	11
2	279	11
3	1077	11
4	5041	11
0	7	11
1	65	11
2	279	11
0	9	21
1	84	21
2	346	21
3	1360	21
4	6500	21
0	9	21
1	84	21
2	346	21

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	node limit
1×	node limit

Counts

3 → 23

Calls

Call 1

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

Outputs

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

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

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

simplify252.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational_best-simplify-2`
1090×	`rational_best-simplify-80`
966×	`rational_best-simplify-78`
826×	`rational_best-simplify-132`
770×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1046
1	199	1046
2	481	1034
3	1791	1034
4	3542	1034
5	6034	1034

Stop Event

1×	node limit

Counts

44 → 81

Calls

Call 1

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

Outputs
(-.f64 x (sin.f64 x))
(-.f64 (+.f64 eps x) (sin.f64 x))
(-.f64 (+.f64 x eps) (sin.f64 x))
(-.f64 (+.f64 eps (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) x)) (sin.f64 x))
(-.f64 (+.f64 x (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) eps)) (sin.f64 x))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 x (+.f64 eps (.f64 (pow.f64 eps 2) (.f64 x -1/2)))) (sin.f64 x))
(-.f64 (+.f64 x (+.f64 eps (.f64 x (.f64 -1/2 (pow.f64 eps 2))))) (sin.f64 x))
(-.f64 (+.f64 eps (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) x))) (sin.f64 x))
(-.f64 (+.f64 (+.f64 x (.f64 -1/6 (pow.f64 eps 3))) (+.f64 (.f64 (pow.f64 eps 2) (*.f64 -1/2 x)) eps)) (sin.f64 x))
(-.f64 (+.f64 (+.f64 x (.f64 -1/6 (pow.f64 eps 3))) (+.f64 eps (.f64 (pow.f64 eps 2) (*.f64 x -1/2)))) (sin.f64 x))
(-.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 eps (.f64 (pow.f64 eps 2) (*.f64 x -1/2))))) (sin.f64 x))
(-.f64 (+.f64 (.f64 x (.f64 -1/2 (pow.f64 eps 2))) (+.f64 eps (+.f64 x (*.f64 -1/6 (pow.f64 eps 3))))) (sin.f64 x))
(-.f64 (+.f64 x (+.f64 (.f64 x (.f64 -1/2 (pow.f64 eps 2))) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (sin.f64 eps))))
(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/120 (pow.f64 x 5))) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (sin.f64 eps) (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (*.f64 -1/120 (pow.f64 x 5)))))
(*.f64 (cos.f64 eps) x)
(*.f64 x (cos.f64 eps))
(*.f64 (cos.f64 eps) x)
(*.f64 x (cos.f64 eps))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) x)
(+.f64 x (.f64 (pow.f64 eps 2) (.f64 -1/2 x)))
(+.f64 x (.f64 (pow.f64 eps 2) (.f64 x -1/2)))
(+.f64 x (.f64 x (.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) x))
(+.f64 x (+.f64 (.f64 (pow.f64 eps 4) (.f64 1/24 x)) (.f64 (pow.f64 eps 2) (.f64 -1/2 x))))
(+.f64 x (+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (.f64 (pow.f64 eps 4) (.f64 x 1/24))))
(+.f64 x (.f64 x (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 x (.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) x)) x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (+.f64 x (.f64 (pow.f64 eps 4) (.f64 1/24 x))) (.f64 -1/720 (.f64 x (pow.f64 eps 6)))))
(+.f64 (.f64 x (.f64 -1/720 (pow.f64 eps 6))) (+.f64 x (+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (.f64 (pow.f64 eps 4) (.f64 x 1/24)))))
(+.f64 x (+.f64 (.f64 x (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (pow.f64 eps 6) (*.f64 x -1/720))))
(+.f64 (.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))) (+.f64 x (.f64 -1/720 (*.f64 x (pow.f64 eps 6)))))
(+.f64 (.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))) (+.f64 x (.f64 (pow.f64 eps 6) (*.f64 x -1/720))))
x
(+.f64 eps x)
(+.f64 x eps)
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) x))
(+.f64 x (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) eps))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 x -1/2)) (+.f64 x eps))
(+.f64 x (+.f64 eps (.f64 (pow.f64 eps 2) (.f64 x -1/2))))
(+.f64 x (+.f64 eps (.f64 x (.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) x)))
(+.f64 (+.f64 x (.f64 -1/6 (pow.f64 eps 3))) (+.f64 (.f64 (pow.f64 eps 2) (*.f64 -1/2 x)) eps))
(+.f64 (+.f64 x (.f64 -1/6 (pow.f64 eps 3))) (+.f64 eps (.f64 (pow.f64 eps 2) (*.f64 x -1/2))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 eps (.f64 (pow.f64 eps 2) (*.f64 x -1/2)))))
(+.f64 (.f64 x (.f64 -1/2 (pow.f64 eps 2))) (+.f64 eps (+.f64 x (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 x (+.f64 (.f64 x (.f64 -1/2 (pow.f64 eps 2))) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(sin.f64 eps)
(*.f64 (cos.f64 eps) x)
(*.f64 x (cos.f64 eps))
(*.f64 (cos.f64 eps) x)
(*.f64 x (cos.f64 eps))
(+.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) 0)
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(+.f64 0 (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) 1)
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(.f64 1 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(.f64 (/.f64 1 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))) (.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(/.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) 1)
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(/.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 eps) x) 0)
(*.f64 x (cos.f64 eps))
(+.f64 0 (*.f64 (cos.f64 eps) x))
(*.f64 x (cos.f64 eps))
(-.f64 (*.f64 (cos.f64 eps) x) 0)
(*.f64 x (cos.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) x) 1)
(*.f64 x (cos.f64 eps))
(/.f64 (.f64 (cos.f64 eps) x) (/.f64 (.f64 (cos.f64 eps) x) (*.f64 (cos.f64 eps) x)))
(*.f64 x (cos.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (+.f64 x x)) 2)
(*.f64 x (cos.f64 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 0)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) 1)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (/.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(.f64 1 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps))) (.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps))) (/.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(/.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 1)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(/.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (/.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) 2) 2)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps))
✓	0.1b	(*.f64 -1/6 (pow.f64 eps 3))
✓	2.7b	(*.f64 (sin.f64 x) (pow.f64 eps 2))
✓	7.1b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)))

Compiler

Compiled 73 to 47 computations (35.6% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(*.f64 -1/6 (pow.f64 eps 3))
1.0ms	x	@	inf	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)))
1.0ms	x	@	-inf	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)))
0.0ms	x	@	0	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)))
0.0ms	eps	@	inf	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`rational_best-5`
1112×	`rational_best-2`
1112×	`rational_best-3`
1112×	`rational_best-1`
1110×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	116
1	155	116
2	538	116
3	2165	116

Stop Event

1×	node limit

Counts

4 → 34

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (/.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (/.f64 1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (/.f64 1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))) 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simplify251.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

948×	`rational_best-simplify-2`
770×	`rational_best-simplify-78`
686×	`rational_best-simplify-24`
678×	`rational_best-simplify-29`
656×	`rational_best-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	134	4178
1	292	4082
2	875	4082
3	2009	4082
4	4291	4082
5	6999	4082

Stop Event

1×	node limit

Counts

106 → 109

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
	0.1b	(*.f64 (cos.f64 eps) x)
✓	1.1b	(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
✓	4.8b	(*.f64 (pow.f64 x 2) (sin.f64 eps))

Compiler

Compiled 75 to 32 computations (57.3% saved)

series6.0ms (0%)

Counts

3 → 54

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(*.f64 (pow.f64 x 2) (sin.f64 eps))
1.0ms	x	@	0	(*.f64 (pow.f64 x 2) (sin.f64 eps))
1.0ms	eps	@	inf	(*.f64 (pow.f64 x 2) (sin.f64 eps))
0.0ms	eps	@	inf	(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
0.0ms	eps	@	-inf	(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`rational_best-5`
1260×	`rational_best-2`
1260×	`rational_best-3`
1260×	`rational_best-1`
1258×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	125
1	153	125
2	594	117
3	2371	117

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs

(*.f64 (pow.f64 x 2) (sin.f64 eps))

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

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

Outputs

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

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (/.f64 (+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (*.f64 (+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (/.f64 1 (+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify196.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

924×	`rational_best-simplify-49`
900×	`rational_best-simplify-50`
858×	`rational_best-simplify-2`
858×	`rational_best-simplify-132`
728×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	4396
1	338	4396
2	1088	4304
3	2658	4304
4	6008	4304

Stop Event

1×	node limit

Counts

100 → 123

Calls

Call 1

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

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

eval474.0ms (2.6%)

Compiler: Compiled 11309 to 6735 computations (40.4% saved)

prune533.0ms (2.9%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	450	13	463
Fresh	3	7	10
Picked	0	1	1
Done	0	5	5
Total	453	26	479

Error

12.3b

Counts

479 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	39.4b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))) (sin.f64 x))
✓	39.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	39.4b	(-.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (sin.f64 x))
✓	39.4b	(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
	43.9b	(-.f64 (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))) (.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))))) (.f64 (.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))) (.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))) (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))))))) (sin.f64 x))
	40.5b	(-.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
▶	38.3b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
✓	38.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	38.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	61.8b	(-.f64 x (sin.f64 x))
	34.7b	(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 1/6 (pow.f64 x 3))))
	30.1b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))
✓	29.4b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	32.1b	(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (+.f64 (*.f64 x (cos.f64 eps)) (neg.f64 (sin.f64 x))))
	30.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
	31.5b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
✓	30.3b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)))
	45.3b	(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
▶	42.0b	(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	39.2b	(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))) (.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))))
	60.9b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
	29.5b	(.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps)) (.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sin.f64 eps))))
✓	29.7b	(*.f64 (cos.f64 x) eps)
▶	61.7b	(*.f64 (cos.f64 eps) x)
▶	28.7b	(sin.f64 eps)
	44.8b	eps

Compiler

Compiled 1003 to 644 computations (35.8% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 eps)

Compiler

Compiled 5 to 3 computations (40% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

localize69.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 eps)
✓	0.2b	(-.f64 (sin.f64 eps) (sin.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 (sin.f64 eps) (sin.f64 x))
0.0ms	x	@	0	(-.f64 (sin.f64 eps) (sin.f64 x))
0.0ms	eps	@	inf	(-.f64 (sin.f64 eps) (sin.f64 x))
0.0ms	eps	@	-inf	(-.f64 (sin.f64 eps) (sin.f64 x))
0.0ms	x	@	inf	(-.f64 (sin.f64 eps) (sin.f64 x))

rewrite135.0ms (0.7%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

746×	`rational_best-5`
746×	`rational_best-2`
746×	`rational_best-3`
746×	`rational_best-1`
744×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	80	15
2	360	15
3	1384	15
4	6624	15
0	8	15
1	80	15
2	360	15

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify227.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational_best-simplify-2`
950×	`rational_best-simplify-78`
672×	`rational_best-simplify-80`
640×	`rational_best-simplify-43`
610×	`rational_best-simplify-132`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	473
1	130	467
2	215	419
3	411	419
4	1770	419
5	4341	419
6	7633	419

Stop Event

1×	node limit

Counts

21 → 43

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (sin.f64 (+.f64 x eps)))
✓	0.2b	(*.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
	2.1b	(sin.f64 (+.f64 x eps))
✓	4.8b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))

Compiler

Compiled 66 to 20 computations (69.7% saved)

series95.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
91.0ms	eps	@	inf	(/.f64 1 (sin.f64 (+.f64 x eps)))
1.0ms	x	@	0	(/.f64 1 (sin.f64 (+.f64 x eps)))
1.0ms	eps	@	0	(/.f64 1 (sin.f64 (+.f64 x eps)))
0.0ms	eps	@	-inf	(/.f64 1 (sin.f64 (+.f64 x eps)))
0.0ms	x	@	-inf	(/.f64 1 (sin.f64 (+.f64 x eps)))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`rational_best-5`
960×	`rational_best-2`
960×	`rational_best-3`
960×	`rational_best-1`
958×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	109
1	117	71
2	483	71
3	1904	71

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

Inputs

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

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

(/.f64 1 (sin.f64 (+.f64 x eps)))

Outputs

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

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

simplify360.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

774×	`rational_best-simplify-49`
744×	`rational_best-simplify-44`
734×	`rational_best-simplify-2`
538×	`rational_best-simplify-1`
524×	`rational_best-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	417	7359
1	1080	7289
2	2615	7095
3	3832	7035
4	6337	7011

Stop Event

1×	node limit

Counts

199 → 210

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	0.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	2.1b	(sin.f64 (+.f64 x eps))
✓	2.8b	(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))

Compiler

Compiled 70 to 13 computations (81.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`rational_best-5`
1080×	`rational_best-2`
1080×	`rational_best-3`
1080×	`rational_best-1`
1078×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	120	68
2	488	68
3	1979	68

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify467.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

978×	`rational_best-simplify-132`
896×	`rational_best-simplify-44`
800×	`rational_best-simplify-2`
680×	`rational_best-simplify-129`
622×	`rational_best-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	273	5048
1	651	5010
2	1303	4968
3	3701	4812
4	7486	4812

Stop Event

1×	node limit

Counts

112 → 147

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (cos.f64 eps)) 1/6) (sin.f64 eps))) (.f64 -1 (.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/6 (.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 5)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0)
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 0 (*.f64 (sin.f64 x) 2)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0)
(-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(-.f64 0 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) -1)
(/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 2)
(/.f64 (*.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) 2) -2)
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(+.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 0)
(+.f64 0 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 0)
(/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) 2)
(fabs.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (neg.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(fabs.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (fabs.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))
(fabs.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (fabs.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (fabs.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (fabs.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (fabs.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (fabs.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (fabs.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (neg.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (neg.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))
(fabs.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (neg.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(fabs.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (.f64 (neg.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (fabs.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (.f64 (fabs.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (neg.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (neg.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) 2))
(fabs.f64 (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (neg.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (/.f64 (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(fabs.f64 (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (fabs.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))

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

eval297.0ms (1.6%)

Compiler: Compiled 27676 to 9777 computations (64.7% saved)

prune238.0ms (1.3%)

Pruning

43 alts after pruning (35 fresh and 8 done)

	Pruned	Kept	Total
New	813	27	840
Fresh	7	8	15
Picked	1	0	1
Done	2	8	10
Total	823	43	866

Error

11.8b

Counts

866 → 43

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.4b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))) (sin.f64 x))
✓	39.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	39.4b	(-.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (sin.f64 x))
✓	39.4b	(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
	38.3b	(-.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	52.3b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (+.f64 (sin.f64 x) (.f64 eps (cos.f64 x))) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	52.3b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	37.8b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	40.6b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))))) (sin.f64 x))
▶	61.1b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x))) (sin.f64 x))
	60.6b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	39.0b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	62.1b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (*.f64 eps (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	38.3b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (sin.f64 (+.f64 x eps)))) (.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (sin.f64 (+.f64 x eps)))) (.f64 (sin.f64 (+.f64 x eps)) (/.f64 -1 (sin.f64 (+.f64 x eps)))))))) (sin.f64 x))
	42.5b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (/.f64 1 (sin.f64 (+.f64 x eps)))))) (.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (/.f64 1 (/.f64 1 (sin.f64 (+.f64 x eps)))))))) (sin.f64 x))
	39.0b	(-.f64 (.f64 (sin.f64 eps) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 eps))) (sin.f64 x))
✓	38.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	34.7b	(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (sin.f64 eps) (pow.f64 x 2)))) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 1/6 (pow.f64 x 3))))
	31.5b	(+.f64 (.f64 (pow.f64 x 2) (.f64 -1/2 (sin.f64 eps))) (+.f64 (sin.f64 eps) (+.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/6) 1/6) (pow.f64 x 3)) (*.f64 (+.f64 (cos.f64 eps) -1) x))))
▶	30.1b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))
✓	29.4b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	32.1b	(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (+.f64 (*.f64 x (cos.f64 eps)) (neg.f64 (sin.f64 x))))
	30.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
✓	30.3b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)))
	40.3b	(+.f64 (sin.f64 eps) (neg.f64 x))
	43.9b	(.f64 (/.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) (.f64 (.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (*.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))
▶	41.8b	(.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	42.0b	(*.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))
	42.1b	(*.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (sin.f64 eps) 2))
	42.6b	(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (.f64 x 2)))))
	42.3b	(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	42.1b	(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
	43.9b	(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))
	43.9b	(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (neg.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))
	41.0b	(.f64 (/.f64 1 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	38.3b	(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps)))
	60.9b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	29.7b	(*.f64 (cos.f64 x) eps)
✓	61.7b	(*.f64 (cos.f64 eps) x)
✓	28.7b	(sin.f64 eps)
▶	59.8b	(neg.f64 (sin.f64 x))
	61.7b	x
	44.8b	eps

Compiler

Compiled 2006 to 1040 computations (48.2% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))
✓	0.1b	(*.f64 eps (cos.f64 x))
✓	2.7b	(.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))

Compiler

Compiled 42 to 22 computations (47.6% saved)

series2.0ms (0%)

Counts

3 → 68

Calls

18 calls:

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

rewrite188.0ms (1%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

940×	`rational_best-5`
940×	`rational_best-2`
940×	`rational_best-3`
940×	`rational_best-1`
940×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	120	73
2	447	73
3	1801	73
4	7844	73
0	11	23
1	93	23
2	351	23
3	1404	23
4	6765	23
0	11	23
1	93	23
2	351	23
0	7	11
1	65	11
2	279	11
3	1077	11
4	5040	11
0	7	11
1	65	11
2	279	11
0	14	39
1	120	39
2	447	39
3	1801	39
4	7844	39
0	14	39
1	120	39
2	447	39

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 22

Calls

Call 1

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

Outputs

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

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

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

simplify169.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1066×	`rational_best-simplify-2`
1018×	`rational_best-simplify-80`
872×	`rational_best-simplify-82`
768×	`rational_best-simplify-132`
748×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	2508
1	205	2436
2	496	2400
3	1591	2400
4	3041	2400
5	5232	2400

Stop Event

1×	node limit

Counts

90 → 70

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) 0)
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) 0)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) 1)
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))))
(/.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) -1) 2)
(+.f64 (*.f64 eps (cos.f64 x)) 0)
(+.f64 0 (*.f64 eps (cos.f64 x)))
(-.f64 (*.f64 eps (cos.f64 x)) 0)
(/.f64 (*.f64 eps (cos.f64 x)) 1)
(/.f64 (.f64 eps (cos.f64 x)) (/.f64 (.f64 eps (cos.f64 x)) (*.f64 eps (cos.f64 x))))
(/.f64 (.f64 eps (.f64 (cos.f64 x) 2)) 2)
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x))) 0)
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) 1)
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x)))))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x)))) (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x)))) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) 2) 2)

Outputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 x (.f64 -1/2 (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (.f64 -1/2 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 (pow.f64 eps 2) (.f64 1/12 (pow.f64 x 3))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 3))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 1/12 (pow.f64 x 3)) (*.f64 -1/2 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 1/12 (pow.f64 x 3))) (.f64 (pow.f64 eps 2) (.f64 -1/240 (pow.f64 x 5)))))
(+.f64 (.f64 x (.f64 -1/2 (pow.f64 eps 2))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/240 (pow.f64 x 5)) (*.f64 1/12 (pow.f64 x 3)))))
(.f64 (pow.f64 eps 2) (+.f64 (+.f64 (.f64 -1/240 (pow.f64 x 5)) (.f64 1/12 (pow.f64 x 3))) (.f64 -1/2 x)))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/240 (pow.f64 x 5)) (+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 -1/2 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 2) (pow.f64 x 7))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 1/12 (pow.f64 x 3))) (.f64 (pow.f64 eps 2) (.f64 1/10080 (pow.f64 x 7)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/240 (pow.f64 x 5))) (.f64 -1/2 (.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/10080 (pow.f64 x 7)) (.f64 1/12 (pow.f64 x 3)))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 x) (.f64 -1/240 (pow.f64 x 5)))))
(.f64 (pow.f64 eps 2) (+.f64 (+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 -1/2 x)) (+.f64 (.f64 -1/240 (pow.f64 x 5)) (*.f64 1/10080 (pow.f64 x 7)))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 -1/240 (pow.f64 x 5)) (.f64 1/10080 (pow.f64 x 7))) (*.f64 -1/2 x))))
(.f64 (pow.f64 eps 2) (+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 1/10080 (pow.f64 x 7)) (+.f64 (.f64 -1/240 (pow.f64 x 5)) (*.f64 -1/2 x)))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (.f64 eps (.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 eps (.f64 1/24 (pow.f64 x 4))) eps))
(+.f64 eps (.f64 eps (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 eps (.f64 1/24 (pow.f64 x 4))) eps)) (.f64 eps (.f64 -1/720 (pow.f64 x 6))))
(+.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))) (.f64 (pow.f64 x 6) (*.f64 -1/720 eps))))
(+.f64 eps (.f64 eps (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2))))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
eps
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) eps)
(+.f64 eps (.f64 -1/2 (.f64 (pow.f64 eps 2) x)))
(+.f64 eps (.f64 x (.f64 -1/2 (pow.f64 eps 2))))
(+.f64 eps (.f64 (pow.f64 eps 2) (.f64 -1/2 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 x (.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 eps (.f64 -1/2 (+.f64 (.f64 (pow.f64 eps 2) x) (*.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 1/12 (pow.f64 x 3))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))) (+.f64 eps (.f64 -1/2 (.f64 (pow.f64 eps 2) x))))
(+.f64 (+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2)))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 3)))))
(+.f64 eps (+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/12 (pow.f64 x 3)) (*.f64 -1/2 x)))))
(+.f64 eps (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 -1/2 x))) (.f64 eps (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 -1/2 x))) (+.f64 eps (.f64 eps (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) 0)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 0 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) 0)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) 1)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (/.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x)))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(/.f64 (.f64 (.f64 (pow.f64 eps 2) (sin.f64 x)) -1) 2)
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 eps (cos.f64 x)) 0)
(*.f64 eps (cos.f64 x))
(+.f64 0 (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(-.f64 (*.f64 eps (cos.f64 x)) 0)
(*.f64 eps (cos.f64 x))
(/.f64 (*.f64 eps (cos.f64 x)) 1)
(*.f64 eps (cos.f64 x))
(/.f64 (.f64 eps (cos.f64 x)) (/.f64 (.f64 eps (cos.f64 x)) (*.f64 eps (cos.f64 x))))
(*.f64 eps (cos.f64 x))
(/.f64 (.f64 eps (.f64 (cos.f64 x) 2)) 2)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x))) 0)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) 1)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x)))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x)))) (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x)))) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x))) 1)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (/.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (.f64 eps (cos.f64 x))) 2) 2)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))

localize5.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (sin.f64 (+.f64 x eps)))
✓	0.3b	(*.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x))
	2.1b	(sin.f64 (+.f64 x eps))
✓	12.9b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x))) (sin.f64 x))

Compiler

Compiled 60 to 20 computations (66.7% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`rational_best-5`
1074×	`rational_best-2`
1074×	`rational_best-3`
1074×	`rational_best-1`
1072×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	80
1	117	80
2	490	74
3	2030	74

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

simplify162.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

938×	`rational_best-simplify-78`
856×	`rational_best-simplify-43`
724×	`rational_best-simplify-2`
710×	`rational_best-simplify-49`
692×	`rational_best-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	147	2754
1	325	2700
2	584	2572
3	1342	2560
4	3013	2556
5	5621	2556

Stop Event

1×	node limit

Counts

80 → 75

Calls

Call 1

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

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

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 -1/6 (pow.f64 x 3))
✓	1.1b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))) (sin.f64 x))
✓	4.8b	(.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))
✓	6.4b	(+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))))

Compiler

Compiled 112 to 68 computations (39.3% saved)

series8.0ms (0%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))))
1.0ms	eps	@	inf	(+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))))
0.0ms	eps	@	0	(+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))))
0.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2))))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`rational_best-5`
1452×	`rational_best-2`
1452×	`rational_best-3`
1452×	`rational_best-1`
1450×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	180
1	188	172
2	691	172
3	2772	172

Stop Event

1×	node limit

Counts

4 → 47

Calls

Call 1

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

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

simplify189.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational_best-simplify-78`
866×	`rational_best-simplify-80`
732×	`rational_best-simplify-50`
690×	`rational_best-simplify-49`
684×	`rational_best-simplify-132`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	6449
1	390	6409
2	1020	6329
3	2511	6329
4	5236	6329

Stop Event

1×	node limit

Counts

119 → 154

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	2.1b	(sin.f64 (+.f64 x eps))
✓	2.8b	(.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	4.8b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))

Compiler

Compiled 146 to 37 computations (74.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`rational_best-5`
1144×	`rational_best-2`
1144×	`rational_best-3`
1144×	`rational_best-1`
1142×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	117
1	149	21
2	606	21
3	2266	21

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs

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

Outputs

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

simplify163.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1016×	`rational_best-simplify-44`
946×	`rational_best-simplify-1`
930×	`rational_best-simplify-132`
910×	`rational_best-simplify-49`
656×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1081
1	215	1081
2	369	1051
3	682	1051
4	1844	1051
5	4338	1051
6	7629	1051

Stop Event

1×	node limit

Counts

41 → 49

Calls

Call 1

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

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

eval556.0ms (3%)

Compiler: Compiled 31471 to 13219 computations (58% saved)

prune388.0ms (2.1%)

Pruning

48 alts after pruning (37 fresh and 11 done)

	Pruned	Kept	Total
New	816	17	833
Fresh	10	20	30
Picked	1	0	1
Done	1	11	12
Total	828	48	876

Error

11.7b

Counts

876 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	39.4b	(-.f64 (+.f64 (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (.f64 -1/2 (pow.f64 x 2))))) (sin.f64 x))
✓	39.4b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))) (sin.f64 x))
✓	39.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	39.4b	(-.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))) (sin.f64 x))
✓	39.4b	(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))
	61.7b	(-.f64 (.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (*.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x))) (sin.f64 x))
	38.3b	(-.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	61.4b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (+.f64 1 (neg.f64 (/.f64 (.f64 eps (cos.f64 x)) (sin.f64 x))))) (sin.f64 x))
	59.6b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (+.f64 (sin.f64 x) (.f64 eps (cos.f64 x))) (.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))))) (sin.f64 x))) (sin.f64 x))
	59.6b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))) (sin.f64 x))) (sin.f64 x))
	37.8b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	59.9b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 x))) (sin.f64 x))
	61.2b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))) (sin.f64 x))) (sin.f64 x))
	40.6b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))))) (sin.f64 x))
	60.6b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	38.3b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (sin.f64 x))
	60.9b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 x))) (sin.f64 x))
	62.0b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (*.f64 eps (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))) (sin.f64 x))) (sin.f64 x))
	42.5b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (/.f64 1 (sin.f64 (+.f64 x eps)))))) (.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (/.f64 1 (/.f64 1 (sin.f64 (+.f64 x eps)))))))) (sin.f64 x))
	60.3b	(-.f64 (.f64 (sin.f64 x) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 x))) (sin.f64 x))
	39.0b	(-.f64 (.f64 (sin.f64 eps) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 eps))) (sin.f64 x))
✓	38.9b	(-.f64 (sin.f64 eps) (sin.f64 x))
	31.5b	(+.f64 (+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))) (+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps))))))
✓	30.1b	(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))
✓	29.4b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	32.1b	(+.f64 (.f64 (sin.f64 eps) (+.f64 1 (.f64 (pow.f64 x 2) -1/2))) (+.f64 (*.f64 x (cos.f64 eps)) (neg.f64 (sin.f64 x))))
	30.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
✓	30.3b	(+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)))
	40.3b	(+.f64 (sin.f64 eps) (neg.f64 x))
	43.9b	(.f64 (/.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) (.f64 (.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (*.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))
	56.4b	(.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 x) eps) (sin.f64 x))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	42.1b	(.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 eps) (sin.f64 x))))
	61.9b	(.f64 (/.f64 1 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	42.0b	(*.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))
	42.1b	(*.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (sin.f64 eps) 2))
	42.6b	(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (.f64 x 2)))))
	42.3b	(.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) -1/2)))) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	41.0b	(.f64 (/.f64 1 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	40.6b	(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	38.3b	(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps)))
	60.9b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	29.7b	(*.f64 (cos.f64 x) eps)
✓	61.7b	(*.f64 (cos.f64 eps) x)
✓	28.7b	(sin.f64 eps)
✓	59.8b	(neg.f64 (sin.f64 x))
	61.7b	x
	44.8b	eps
	61.2b	0

Compiler

Compiled 1034 to 597 computations (42.3% saved)

regimes549.0ms (3%)

Counts

73 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

271.0ms	eps
171.0ms	x
79.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
14.2b	3	`x`
13.2b	3	`eps`
13.8b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1696 to 625 computations (63.1% saved)

bsearch159.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	1.987921214535587e-14	2.3360337801044054e-12
122.0ms	-2301.3277782178607	-0.004105033018946746

Results

105.0ms	138×	body	256	valid
30.0ms	70×	body	1024	valid
11.0ms	37×	body	512	valid
8.0ms	11×	body	2048	valid

Compiler

Compiled 817 to 575 computations (29.6% saved)

regimes164.0ms (0.9%)

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

62.0ms	eps
52.0ms	x
39.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
14.2b	3	`x`
13.2b	3	`eps`
13.8b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 590 to 231 computations (60.8% saved)

bsearch251.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
124.0ms	1.987921214535587e-14	2.3360337801044054e-12
127.0ms	-2301.3277782178607	-0.004105033018946746

Results

118.0ms	75×	body	1024	valid
101.0ms	34×	body	512	valid
23.0ms	142×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 721 to 495 computations (31.3% saved)

regimes513.0ms (2.8%)

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

279.0ms	x
195.0ms	eps
28.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
14.2b	3	`x`
13.3b	3	`eps`
13.8b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 498 to 191 computations (61.6% saved)

bsearch190.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
144.0ms	1.987921214535587e-14	2.3360337801044054e-12
46.0ms	-2301.3277782178607	-0.004105033018946746

Results

117.0ms	94×	body	1024	valid
60.0ms	139×	body	256	valid
5.0ms	18×	body	512	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 602 to 432 computations (28.2% saved)

regimes328.0ms (1.8%)

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

244.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
39.0ms	eps
38.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
13.4b	3	`eps`
13.8b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 304 to 125 computations (58.9% saved)

bsearch88.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	1.987921214535587e-14	2.3360337801044054e-12
55.0ms	-2301.3277782178607	-0.004105033018946746

Results

49.0ms	79×	body	1024	valid
23.0ms	147×	body	256	valid
7.0ms	24×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 506 to 352 computations (30.4% saved)

regimes257.0ms (1.4%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

151.0ms	x
65.0ms	eps
35.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
14.4b	3	`x`
13.5b	3	`eps`
13.8b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 199 to 84 computations (57.8% saved)

bsearch53.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.987921214535587e-14	2.3360337801044054e-12
21.0ms	-311804499518696100.0	-133130618758128430.0

Results

20.0ms	43×	body	1024	valid
20.0ms	122×	body	256	valid
7.0ms	23×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 302 to 226 computations (25.2% saved)

regimes70.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	x
25.0ms	eps
16.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
14.4b	3	`x`
13.6b	3	`eps`
13.9b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 101 to 46 computations (54.5% saved)

bsearch52.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	1.987921214535587e-14	2.3360337801044054e-12
20.0ms	-311804499518696100.0	-133130618758128430.0

Results

19.0ms	45×	body	1024	valid
18.0ms	115×	body	256	valid
10.0ms	29×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 194 to 142 computations (26.8% saved)

regimes40.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	eps
18.0ms	x

Results

Error	Segments	Branch
14.7b	3	`x`
13.7b	3	`eps`

Compiler

Compiled 46 to 25 computations (45.7% saved)

bsearch88.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	1.987921214535587e-14	2.3360337801044054e-12
24.0ms	-311804499518696100.0	-133130618758128430.0

Results

36.0ms	5×	body	2048	valid
21.0ms	51×	body	1024	valid
21.0ms	111×	body	256	valid
7.0ms	25×	body	512	valid

Compiler

Compiled 158 to 118 computations (25.3% saved)

regimes11.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

5.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
28.7b	1	`x`
28.7b	1	`eps`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes7.0ms (0%)

Accuracy

Total -17.7b remaining (-39.5%)

Threshold costs -17.7b (-39.5%)

Counts

3 → 1

Calls

Call 1

Inputs
0
eps
x

Outputs
eps

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
44.8b	1	`x`
44.8b	1	`eps`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	872

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -1080863910568919/18014398509481984) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))))) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))))
(if (<=.f64 eps -7493989779944505/288230376151711744) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps))) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))))
(if (<=.f64 eps -8214565720323785/144115188075855872) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -4150517416584649/576460752303423488) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -135000000000000000) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -135000000000000000) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -135000000000000000) (sin.f64 eps) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Outputs
(if (<=.f64 eps -1080863910568919/18014398509481984) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps)) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))))) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))))
(if (<=.f64 eps -7493989779944505/288230376151711744) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps))) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))))
(if (<=.f64 eps -8214565720323785/144115188075855872) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (+.f64 (.f64 -1/2 (.f64 (sin.f64 x) (pow.f64 eps 2))) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) eps))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -4150517416584649/576460752303423488) (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -135000000000000000) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -135000000000000000) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -135000000000000000) (sin.f64 eps) (if (<=.f64 eps 5694524180712749/2475880078570760549798248448) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0

Compiler

Compiled 323 to 189 computations (41.5% saved)

soundness222.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1022×	`rational_best-simplify-2`
874×	`rational_best-simplify-1`
836×	`rational_best-simplify-48`
702×	`rational_best-simplify-132`
514×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1631
1	307	1621
2	630	1581
3	1736	1581
4	3219	1581
5	5830	1581

Stop Event

1×	node limit

Compiler

Compiled 353 to 220 computations (37.7% saved)

end253.0ms (1.4%)

Compiler: Compiled 305 to 138 computations (54.8% saved)

Iter	Nodes	Cost
0	13	42
1	45	42
2	69	42
3	84	42
4	104	42
5	119	42
6	124	42
7	145	42
8	165	42
9	168	42
10	171	42
0	2	2

Iter	Nodes	Cost
0	13	42
1	45	42
2	69	42
3	84	42
4	104	42
5	119	42
6	124	42
7	145	42
8	165	42
9	168	42
10	171	42
0	2	2

Iter	Nodes	Cost
0	13	42
1	45	42
2	69	42
3	84	42
4	104	42
5	119	42
6	124	42
7	145	42
8	165	42
9	168	42
10	171	42
0	2	2