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)

sample10.0s (46.9%)

Results

4.1s	3662×	body	1024	valid
3.1s	1277×	body	2048	valid
1.4s	1386×	body	512	valid
1.3s	1928×	body	256	valid
7.0ms	3×	body	4096	valid

Bogosity

preprocess23.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

98×	`rational_best.json-simplify-2`
48×	`rational_best.json-simplify-44`
14×	`rational_best.json-simplify-5`
12×	`rational_best.json-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)

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

74×	`rational_best.json-simplify-2`
38×	`rational_best.json-simplify-44`
12×	`rational_best.json-simplify-5`
8×	`rational_best.json-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))

eval1.0ms (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

36.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	1.5b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	2.9b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite429.0ms (2%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	88	37
2	389	37
3	1511	37
4	7118	37
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
0	4	5
1	44	5
2	207	5
3	772	5
4	3564	5
0	4	5
1	44	5
2	207	5

Stop Event

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

Counts

3 → 41

Calls

Call 1

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

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))))))))

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

simplify195.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1440×	`rational_best.json-simplify-48`
1080×	`rational_best.json-simplify-2`
718×	`rational_best.json-simplify-47`
628×	`rational_best.json-simplify-43`
586×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1813
1	381	1803
2	907	1755
3	2424	1755
4	4860	1755

Stop Event

1×	node limit

Counts

93 → 110

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

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

eval29.0ms (0.1%)

Compiler: Compiled 1862 to 864 computations (53.6% saved)

prune33.0ms (0.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	93	17	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	18	111

Error

14.2b

Counts

111 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	38.5b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) x)) (.f64 (pow.f64 x 2) (*.f64 -1/2 (sin.f64 eps)))) (sin.f64 x))
	38.6b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (sin.f64 x))
	38.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	39.4b	(-.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	37.0b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
▶	39.0b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
✓	36.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	61.3b	(-.f64 (sin.f64 x) (sin.f64 x))
	37.5b	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	29.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	31.6b	(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (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)))))
	31.1b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
▶	31.5b	(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (+.f64 (cos.f64 eps) -1))))
	40.9b	(.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))))
▶	38.4b	(.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))))
▶	30.8b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 593 to 354 computations (40.3% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
✓	0.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	2.1b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 28 to 14 computations (50% saved)

series4.0ms (0%)

Counts

3 → 15

Calls

15 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	x	@	inf	(*.f64 (-.f64 (cos.f64 eps) 1) x)
0.0ms	eps	@	inf	(*.f64 (-.f64 (cos.f64 eps) 1) x)
0.0ms	eps	@	0	(*.f64 (-.f64 (cos.f64 eps) 1) x)

rewrite189.0ms (0.9%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	97	55
2	382	55
3	1494	55
4	6954	55
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	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×	unsound

Counts

3 → 30

Calls

Call 1

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

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

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 (+.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)))))

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1176×	`rational_best.json-simplify-78`
1110×	`rational_best.json-simplify-132`
966×	`rational_best.json-simplify-1`
914×	`rational_best.json-simplify-2`
724×	`rational_best.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1081
1	202	1081
2	550	1051
3	1798	1051
4	3492	1051
5	6315	1051

Stop Event

1×	node limit

Counts

45 → 73

Calls

Call 1

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

localize5.0ms (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)

series5.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite53.0ms (0.2%)

Algorithm

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

Rules

564×	`rational_best.json-2`
564×	`rational_best.json-3`
564×	`rational_best.json-1`
564×	`rational_best.json-5`
562×	`rational_best.json-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)))))

simplify202.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1744×	`rational_best.json-simplify-80`
1346×	`rational_best.json-simplify-78`
1110×	`rational_best.json-simplify-44`
1032×	`rational_best.json-simplify-132`
956×	`rational_best.json-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))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	0.1b	(*.f64 -1/6 (pow.f64 x 3))
✓	1.8b	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
	2.9b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series4.0ms (0%)

Counts

3 → 27

Calls

12 calls:

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

rewrite521.0ms (2.5%)

Algorithm

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

Rules

1644×	`rational_best.json-5`
1642×	`rational_best.json-2`
1642×	`rational_best.json-3`
1642×	`rational_best.json-1`
1642×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	107	67
2	401	67
3	1593	67
4	7233	67
0	13	35
1	107	35
2	401	35
3	1593	35
4	7233	35
0	13	35
1	107	35
2	401	35
0	7	13
1	50	13
2	155	13
3	615	13
4	2656	13
0	8	19
1	58	19
2	181	19
3	725	19
4	3162	19

Stop Event

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

Counts

3 → 52

Calls

Call 1

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

Outputs

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

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

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

simplify353.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational_best.json-simplify-78`
1004×	`rational_best.json-simplify-2`
826×	`rational_best.json-simplify-43`
770×	`rational_best.json-simplify-132`
714×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	153	2113
1	348	2101
2	943	2101
3	2217	2101
4	5523	2085

Stop Event

1×	node limit

Counts

79 → 95

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

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

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (+.f64 (cos.f64 eps) -1))
✓	0.2b	(*.f64 -1/2 (pow.f64 x 2))
✓	2.1b	(+.f64 (cos.f64 eps) -1)
✓	3.6b	(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))

Compiler

Compiled 70 to 42 computations (40% saved)

series9.0ms (0%)

Counts

4 → 60

Calls

18 calls:

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

rewrite400.0ms (1.9%)

Algorithm

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

Rules

1302×	`rational_best.json-5`
1300×	`rational_best.json-2`
1300×	`rational_best.json-3`
1300×	`rational_best.json-1`
1300×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	127	64
2	457	64
3	1820	64
4	7926	64
0	11	23
1	93	23
2	351	23
3	1402	23
4	6756	23
0	11	23
1	93	23
2	351	23
0	7	11
1	65	11
2	264	11
3	984	11
4	4408	11
0	7	11
1	65	11
2	264	11
0	7	13
1	50	13
2	155	13
3	614	13
4	2711	13
0	9	17
1	80	17
2	315	17
3	1210	17
4	5492	17
0	9	17
1	80	17
2	315	17

Stop Event

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

Counts

4 → 33

Calls

Call 1

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

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

simplify287.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1012×	`rational_best.json-simplify-132`
802×	`rational_best.json-simplify-49`
718×	`rational_best.json-simplify-44`
642×	`rational_best.json-simplify-43`
622×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	2057
1	252	2057
2	572	1985
3	1971	1985
4	3444	1985
5	6793	1985

Stop Event

1×	node limit

Counts

93 → 82

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 7) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) x)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(+.f64 0 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))))
(-.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(/.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 1)
(/.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (/.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))))
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1)) 2)
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(.f64 (+.f64 (cos.f64 eps) -1) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))
(*.f64 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) (/.f64 1 (cis.f64 eps))) 2) 2)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(-.f64 0 (/.f64 (pow.f64 x 2) 2))
(/.f64 (pow.f64 x 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(neg.f64 (/.f64 (pow.f64 x 2) 2))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 0)
(+.f64 0 (*.f64 x (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 0)
(/.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 1)
(/.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x x)) 2)

Outputs
(.f64 -1/2 (.f64 eps (pow.f64 x 2)))
(.f64 eps (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 x 2) (pow.f64 eps 3))))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/12 (.f64 (pow.f64 x 2) (pow.f64 eps 3))))
(.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 eps 3)) (*.f64 -1/2 eps)))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 (pow.f64 eps 5) (.f64 -1/240 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 (pow.f64 x 2) (.f64 -1/240 (pow.f64 eps 5)))))
(+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/240 (pow.f64 eps 5)) (*.f64 1/12 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/240 (pow.f64 eps 5)) (*.f64 1/12 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/240 (.f64 (pow.f64 eps 5) (pow.f64 x 2))) (+.f64 (.f64 1/12 (.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 eps 7) (pow.f64 x 2))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 eps 5) (.f64 -1/240 (pow.f64 x 2))) (+.f64 (.f64 eps (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 1/10080 (.f64 (pow.f64 x 2) (pow.f64 eps 7))) (.f64 1/12 (.f64 (pow.f64 x 2) (pow.f64 eps 3))))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 (pow.f64 x 2) (.f64 1/10080 (pow.f64 eps 7)))) (.f64 (pow.f64 x 2) (.f64 -1/240 (pow.f64 eps 5)))))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/10080 (pow.f64 eps 7)) (.f64 -1/2 eps))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/240 (pow.f64 eps 5)) (.f64 1/12 (pow.f64 eps 3)))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8))) (.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(.f64 -1/2 (.f64 (pow.f64 eps 2) x))
(.f64 (pow.f64 eps 2) (.f64 -1/2 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) x)) (.f64 1/24 (.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 (pow.f64 eps 4) (.f64 1/24 x)))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 x (.f64 1/24 (pow.f64 eps 4))))
(.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 (pow.f64 eps 4) (.f64 1/24 x)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 (pow.f64 eps 6) (.f64 -1/720 x))))
(+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (+.f64 (.f64 x (.f64 1/24 (pow.f64 eps 4))) (.f64 x (.f64 -1/720 (pow.f64 eps 6)))))
(+.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 x (.f64 1/24 (pow.f64 eps 4))) (.f64 x (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.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 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 (pow.f64 eps 4) (.f64 1/24 x))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 -1/720 x)) (.f64 1/40320 (.f64 x (pow.f64 eps 8)))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 -1/2 x)) (.f64 x (.f64 1/24 (pow.f64 eps 4)))) (+.f64 (.f64 x (.f64 -1/720 (pow.f64 eps 6))) (.f64 (pow.f64 eps 8) (.f64 x 1/40320))))
(+.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 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 0 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(-.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 0)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) 1)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (/.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))))
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) -1)) 2)
(.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps)))
(.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(.f64 (+.f64 (cos.f64 eps) -1) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(.f64 (/.f64 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) (/.f64 1 (cis.f64 eps))) 2) 2)
(+.f64 (cos.f64 eps) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (/.f64 (pow.f64 x 2) 2))
(neg.f64 (/.f64 (pow.f64 x 2) 2))
(/.f64 (pow.f64 x 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(.f64 (/.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 2) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (/.f64 (pow.f64 x 2) 2))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 0)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 0 (*.f64 x (+.f64 (cos.f64 eps) -1)))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 0)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(/.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(*.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))

localize133.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	1.5b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	2.9b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 72 to 16 computations (77.8% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite438.0ms (2.1%)

Algorithm

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

Rules

926×	`rational_best.json-2`
926×	`rational_best.json-3`
926×	`rational_best.json-1`
926×	`rational_best.json-5`
926×	`rational_best.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	107	80
2	441	80
3	1745	80
0	12	53
1	107	53
2	441	53
3	1745	53
0	12	53
1	107	53
0	11	27
1	99	27
2	413	27
3	1612	27
4	7667	27
0	11	27
1	99	27
2	413	27

Stop Event

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

Counts

2 → 15

Calls

Call 1

Inputs
(*.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)))

Outputs

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

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

simplify189.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

832×	`rational_best.json-simplify-54`
774×	`rational_best.json-simplify-47`
612×	`rational_best.json-simplify-49`
574×	`rational_best.json-simplify-132`
554×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	2157
1	269	2121
2	519	2121
3	1194	2121
4	3547	2121
5	6096	2121

Stop Event

1×	node limit

Counts

63 → 47

Calls

Call 1

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

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

eval399.0ms (1.9%)

Compiler: Compiled 18996 to 8740 computations (54% saved)

prune604.0ms (2.8%)

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	594	17	611
Fresh	1	11	12
Picked	1	0	1
Done	1	4	5
Total	597	32	629

Error

13.9b

Counts

629 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	38.7b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) x)) (.f64 (pow.f64 x 2) (.f64 -1/2 (sin.f64 eps)))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
▶	38.5b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) x)) (.f64 (pow.f64 x 2) (*.f64 -1/2 (sin.f64 eps)))) (sin.f64 x))
	38.6b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (sin.f64 x))
	38.8b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
	38.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	39.4b	(-.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	37.0b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
✓	36.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	37.5b	(-.f64 (sin.f64 eps) (sin.f64 x))
✓	29.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	48.4b	(+.f64 (.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) x) (sin.f64 eps))
	31.6b	(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (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)))))
▶	31.1b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	62.2b	(+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))
✓	31.5b	(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (+.f64 (cos.f64 eps) -1))))
	40.9b	(.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))))
	38.4b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	40.3b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	39.1b	(.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 eps) (.f64 -1/2 (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)))))))
	40.9b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
	37.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
▶	37.9b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	37.4b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	41.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (+.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) (/.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))) x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	51.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (+.f64 (.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (.f64 (cos.f64 x) eps))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	61.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
✓	30.8b	(*.f64 (cos.f64 x) eps)
▶	62.3b	(*.f64 1/6 (pow.f64 x 3))
▶	29.0b	(sin.f64 eps)
	44.1b	eps

Compiler

Compiled 1277 to 726 computations (43.1% saved)

localize7.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/6 (pow.f64 x 3))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 1/6 (pow.f64 x 3))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational_best.json-5`
1380×	`rational_best.json-2`
1380×	`rational_best.json-3`
1380×	`rational_best.json-1`
1380×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	50	13
2	155	13
3	615	13
4	2656	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 3))

Outputs

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

simplify183.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational_best.json-simplify-132`
1314×	`rational_best.json-simplify-129`
1302×	`rational_best.json-simplify-80`
1176×	`rational_best.json-simplify-78`
956×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	117
1	43	117
2	84	117
3	222	117
4	976	117
5	2609	117
6	5204	117

Stop Event

1×	node limit

Counts

9 → 10

Calls

Call 1

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

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

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
✓	0.0b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
	0.1b	(*.f64 (cos.f64 x) eps)
✓	4.5b	(*.f64 (pow.f64 eps 2) (sin.f64 x))

Compiler

Compiled 44 to 23 computations (47.7% saved)

series15.0ms (0.1%)

Counts

3 → 19

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	inf	(*.f64 (pow.f64 eps 2) (sin.f64 x))
1.0ms	eps	@	0	(*.f64 (pow.f64 eps 2) (sin.f64 x))
1.0ms	x	@	inf	(*.f64 (pow.f64 eps 2) (sin.f64 x))
1.0ms	x	@	-inf	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
1.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))

rewrite293.0ms (1.4%)

Algorithm

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

Rules

934×	`rational_best.json-2`
934×	`rational_best.json-3`
934×	`rational_best.json-1`
934×	`rational_best.json-5`
934×	`rational_best.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	120	73
2	445	73
3	1789	73
4	7852	73
0	9	17
1	77	17
2	301	17
3	1190	17
4	5456	17
0	9	17
1	77	17
2	301	17
0	14	39
1	120	39
2	445	39
3	1792	39
4	7855	39
0	14	39
1	120	39
2	445	39
0	11	23
1	93	23
2	349	23
3	1392	23
4	6692	23
0	11	23
1	93	23
2	349	23

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

Outputs

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

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

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

simplify217.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational_best.json-simplify-80`
1094×	`rational_best.json-simplify-2`
930×	`rational_best.json-simplify-132`
908×	`rational_best.json-simplify-78`
802×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1485
1	202	1377
2	502	1323
3	1644	1323
4	3106	1323
5	5512	1323

Stop Event

1×	node limit

Counts

41 → 75

Calls

Call 1

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

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

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) x)) (.f64 (pow.f64 x 2) (*.f64 -1/2 (sin.f64 eps))))
✓	0.1b	(*.f64 (cos.f64 eps) x)
✓	2.0b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) x)) (.f64 (pow.f64 x 2) (*.f64 -1/2 (sin.f64 eps)))) (sin.f64 x))
✓	3.8b	(.f64 (pow.f64 x 2) (.f64 -1/2 (sin.f64 eps)))

Compiler

Compiled 73 to 31 computations (57.5% saved)

series10.0ms (0%)

Counts

4 → 76

Calls

24 calls:

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

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational_best.json-2`
1252×	`rational_best.json-3`
1252×	`rational_best.json-1`
1252×	`rational_best.json-5`
1250×	`rational_best.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	142
1	151	142
2	587	134
3	2362	134

Stop Event

1×	node limit

Counts

4 → 52

Calls

Call 1

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

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

simplify307.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

922×	`rational_best.json-simplify-49`
904×	`rational_best.json-simplify-50`
896×	`rational_best.json-simplify-2`
858×	`rational_best.json-simplify-132`
702×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	5492
1	407	5492
2	1207	5400
3	2900	5400
4	6663	5400

Stop Event

1×	node limit

Counts

128 → 145

Calls

Call 1

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

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	1.5b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	2.1b	(-.f64 (cos.f64 eps) 1)
	2.9b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 101 to 39 computations (61.4% saved)

series8.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`rational_best.json-2`
1374×	`rational_best.json-3`
1374×	`rational_best.json-1`
1374×	`rational_best.json-5`
1372×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	159	59
2	652	59
3	2548	59

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify220.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1388×	`rational_best.json-simplify-47`
1144×	`rational_best.json-simplify-132`
1144×	`rational_best.json-simplify-80`
1046×	`rational_best.json-simplify-2`
998×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	2970
1	309	2876
2	508	2812
3	794	2808
4	1656	2808
5	2868	2808
6	5785	2808

Stop Event

1×	node limit

Counts

30 → 55

Calls

Call 1

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

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

eval427.0ms (2%)

Compiler: Compiled 16748 to 8265 computations (50.7% saved)

prune233.0ms (1.1%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	491	6	497
Fresh	5	18	23
Picked	1	0	1
Done	2	6	8
Total	499	30	529

Error

13.7b

Counts

529 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	38.7b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) x)) (.f64 (pow.f64 x 2) (.f64 -1/2 (sin.f64 eps)))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
	38.6b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (sin.f64 x))
	38.8b	(-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
▶	38.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	38.5b	(-.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (sin.f64 x))
	37.0b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
✓	36.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	37.5b	(-.f64 (sin.f64 eps) (sin.f64 x))
▶	61.7b	(-.f64 x (sin.f64 x))
✓	29.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	31.6b	(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (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)))))
✓	31.1b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
✓	31.5b	(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (+.f64 (cos.f64 eps) -1))))
	40.9b	(.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))))
	37.2b	(.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) (.f64 (/.f64 1 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	40.3b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	39.1b	(.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 eps) (.f64 -1/2 (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)))))))
	40.9b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
	37.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
▶	37.4b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	51.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (+.f64 (.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (.f64 (cos.f64 x) eps))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	37.1b	(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (cos.f64 x))
	61.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
▶	36.9b	(.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 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
▶	31.1b	(.f64 (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
✓	30.8b	(*.f64 (cos.f64 x) eps)
✓	29.0b	(sin.f64 eps)
	44.1b	eps

Compiler

Compiled 1190 to 684 computations (42.5% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 x) eps)
✓	0.5b	(/.f64 1 (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
✓	4.6b	(.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))
✓	13.5b	(.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2))))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))

Compiler

Compiled 131 to 70 computations (46.6% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`rational_best.json-2`
1056×	`rational_best.json-3`
1056×	`rational_best.json-1`
1056×	`rational_best.json-5`
1054×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	157
1	139	157
2	499	157
3	2035	157

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

Inputs

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

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

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

Outputs

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

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simplify273.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational_best.json-simplify-132`
744×	`rational_best.json-simplify-44`
632×	`rational_best.json-simplify-43`
506×	`rational_best.json-simplify-49`
478×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	5648
1	369	5600
2	702	5506
3	1995	5506
4	3613	5506
5	7000	5506

Stop Event

1×	node limit

Counts

112 → 111

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	1.6b	(-.f64 x (sin.f64 x))

Compiler

Compiled 9 to 4 computations (55.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.2%)

Algorithm

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

Rules

512×	`rational_best.json-2`
512×	`rational_best.json-3`
512×	`rational_best.json-1`
512×	`rational_best.json-5`
510×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	57	11
2	253	11
3	978	11
4	4513	11
0	6	11
1	57	11
2	253	11

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify327.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational_best.json-simplify-78`
912×	`rational_best.json-simplify-132`
750×	`rational_best.json-simplify-2`
652×	`rational_best.json-simplify-43`
580×	`rational_best.json-simplify-54`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	455
1	102	455
2	233	383
3	991	383
4	2491	383
5	4999	383

Stop Event

1×	node limit

Counts

25 → 28

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/120 (pow.f64 x 5)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) 0)
(+.f64 0 (-.f64 x (sin.f64 x)))
(*.f64 (-.f64 x (sin.f64 x)) 1)
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))))
(.f64 (-.f64 x (sin.f64 x)) (.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))
(*.f64 1 (-.f64 x (sin.f64 x)))
(.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) 1)
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) 2)
(neg.f64 (-.f64 (sin.f64 x) x))

Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/120 (pow.f64 x 5)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/362880 (pow.f64 x 9)))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/5040 (pow.f64 x 7))) (.f64 -1/362880 (pow.f64 x 9))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/362880 (pow.f64 x 9)))))
(+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (.f64 -1/362880 (pow.f64 x 9)))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/5040 (pow.f64 x 7)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(+.f64 (-.f64 x (sin.f64 x)) 0)
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(+.f64 0 (-.f64 x (sin.f64 x)))
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(*.f64 (-.f64 x (sin.f64 x)) 1)
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))))
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(.f64 (-.f64 x (sin.f64 x)) (.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(*.f64 1 (-.f64 x (sin.f64 x)))
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))))
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 1 (-.f64 x (sin.f64 x))))
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) 1)
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))))
(+.f64 x (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(-.f64 x (sin.f64 x))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) 2)
(neg.f64 (-.f64 (sin.f64 x) x))
(+.f64 x (neg.f64 (sin.f64 x)))
(-.f64 x (sin.f64 x))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.0b	(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
	0.1b	(*.f64 (cos.f64 eps) x)
✓	2.0b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series2.0ms (0%)

Counts

2 → 17

Calls

12 calls:

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

rewrite226.0ms (1.1%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	107	52
2	456	52
3	1783	52
0	11	31
1	107	31
2	456	31
3	1783	31
0	11	31
1	107	31
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×	node limit
1×	node limit

Counts

2 → 17

Calls

Call 1

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

simplify176.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational_best.json-simplify-2`
920×	`rational_best.json-simplify-1`
832×	`rational_best.json-simplify-80`
786×	`rational_best.json-simplify-78`
666×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	844
1	151	844
2	379	844
3	1548	844
4	3072	844
5	5094	844

Stop Event

1×	node limit

Counts

34 → 64

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 eps))
✓	0.2b	(*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	1.5b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	2.9b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 59 to 17 computations (71.2% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite354.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`rational_best.json-2`
1098×	`rational_best.json-3`
1098×	`rational_best.json-1`
1098×	`rational_best.json-5`
1096×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	123	48
2	520	48
3	2016	48

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

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

Outputs

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

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

simplify337.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

914×	`rational_best.json-simplify-2`
796×	`rational_best.json-simplify-50`
796×	`rational_best.json-simplify-49`
572×	`rational_best.json-simplify-82`
568×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1483
1	265	1435
2	501	1429
3	1330	1429
4	2547	1429
5	4738	1429

Stop Event

1×	node limit

Counts

49 → 64

Calls

Call 1

Inputs
(cos.f64 x)
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (.f64 (-.f64 (.f64 1/24 (sin.f64 x)) (*.f64 1/12 (sin.f64 x))) (pow.f64 eps 3))))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 eps 5) (-.f64 (.f64 -1/720 (sin.f64 x)) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 (sin.f64 x)) (.f64 1/12 (sin.f64 x)))) (.f64 -1/240 (sin.f64 x))))) (.f64 (-.f64 (.f64 1/24 (sin.f64 x)) (*.f64 1/12 (sin.f64 x))) (pow.f64 eps 3)))))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (sin.f64 eps))
1
(+.f64 1 (*.f64 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) x)))
(+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 eps))) (.f64 -1/6 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) x))))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) (sin.f64 eps))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 1/6 eps))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/6 eps) (.f64 7/360 (pow.f64 eps 3))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/6 eps) (+.f64 (.f64 7/360 (pow.f64 eps 3)) (*.f64 31/15120 (pow.f64 eps 5)))))
(+.f64 (*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 0)
(+.f64 0 (*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(-.f64 (*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 0)
(/.f64 (*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(/.f64 (.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (/.f64 (.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(/.f64 (.f64 (/.f64 1 (sin.f64 eps)) (.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)) 2)
(+.f64 (/.f64 1 (sin.f64 eps)) 0)
(+.f64 0 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 1 (sin.f64 eps)) 0)
(*.f64 1 (/.f64 1 (sin.f64 eps)))
(*.f64 (/.f64 1 (sin.f64 eps)) 1)
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (/.f64 1 (sin.f64 eps)))))
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (/.f64 1 (sin.f64 eps)))
(.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (/.f64 1 (/.f64 1 (sin.f64 eps))))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (/.f64 1 (sin.f64 eps)))) (/.f64 1 (sin.f64 eps)))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))) (.f64 (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (/.f64 1 (sin.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(.f64 (/.f64 (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (/.f64 1 (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) (*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))

Outputs
(cos.f64 x)
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (.f64 eps (.f64 -1/2 (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (.f64 (-.f64 (.f64 1/24 (sin.f64 x)) (*.f64 1/12 (sin.f64 x))) (pow.f64 eps 3))))
(+.f64 (.f64 (-.f64 (.f64 (sin.f64 x) 1/24) (.f64 (sin.f64 x) 1/12)) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (.f64 (sin.f64 x) -1/24) (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (.f64 eps (.f64 -1/2 (sin.f64 x))) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) -1/24))))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) -1/24))))
(+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 eps 5) (-.f64 (.f64 -1/720 (sin.f64 x)) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 (sin.f64 x)) (.f64 1/12 (sin.f64 x)))) (.f64 -1/240 (sin.f64 x))))) (.f64 (-.f64 (.f64 1/24 (sin.f64 x)) (*.f64 1/12 (sin.f64 x))) (pow.f64 eps 3)))))
(+.f64 (+.f64 (.f64 (-.f64 (.f64 (sin.f64 x) 1/24) (.f64 (sin.f64 x) 1/12)) (pow.f64 eps 3)) (.f64 (pow.f64 eps 5) (-.f64 (.f64 (sin.f64 x) -1/720) (+.f64 (.f64 (-.f64 (.f64 (sin.f64 x) 1/24) (.f64 (sin.f64 x) 1/12)) -1/6) (.f64 (sin.f64 x) -1/240))))) (+.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 (.f64 (sin.f64 x) -1/24) (pow.f64 eps 3)) (.f64 (pow.f64 eps 5) (-.f64 (.f64 (sin.f64 x) -1/720) (+.f64 (.f64 (.f64 (sin.f64 x) -1/24) -1/6) (.f64 (sin.f64 x) -1/240))))) (.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) -1/24)) (+.f64 (.f64 (pow.f64 eps 5) (-.f64 (.f64 (sin.f64 x) -1/720) (+.f64 (.f64 (sin.f64 x) 1/144) (.f64 (sin.f64 x) -1/240)))) (.f64 eps (.f64 -1/2 (sin.f64 x))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) -1/24)) (+.f64 (.f64 eps (.f64 -1/2 (sin.f64 x))) (.f64 (pow.f64 eps 5) (-.f64 (.f64 (sin.f64 x) -1/720) (+.f64 (.f64 (sin.f64 x) 1/144) (.f64 (sin.f64 x) -1/240)))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 eps 3) -1/24)) (+.f64 (.f64 -1/2 (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 5) (-.f64 (.f64 (sin.f64 x) -1/720) (+.f64 (.f64 (sin.f64 x) 1/144) (.f64 (sin.f64 x) -1/240)))))))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
1
(+.f64 1 (*.f64 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) x))
(+.f64 1 (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) x)))
(+.f64 (.f64 x (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 1 (+.f64 (.f64 x (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 eps))) (.f64 -1/6 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) x))))
(+.f64 (+.f64 (.f64 x (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))) (.f64 -1/2 (pow.f64 x 2))) (+.f64 1 (.f64 (+.f64 (.f64 (/.f64 1 (sin.f64 eps)) 1/6) (*.f64 -1/6 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3))))
(+.f64 (+.f64 1 (+.f64 (.f64 x (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))) (.f64 -1/2 (pow.f64 x 2)))) (.f64 (+.f64 (.f64 (/.f64 1 (sin.f64 eps)) 1/6) (*.f64 -1/6 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)))
(+.f64 1 (+.f64 (+.f64 (.f64 x (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))) (.f64 -1/2 (pow.f64 x 2))) (.f64 (+.f64 (.f64 (/.f64 1 (sin.f64 eps)) 1/6) (*.f64 -1/6 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3))))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) (sin.f64 eps))
(/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 1/6 eps))
(+.f64 (/.f64 1 eps) (*.f64 eps 1/6))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/6 eps) (.f64 7/360 (pow.f64 eps 3))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 eps 1/6) (.f64 (pow.f64 eps 3) 7/360)))
(+.f64 (.f64 eps 1/6) (+.f64 (/.f64 1 eps) (.f64 (pow.f64 eps 3) 7/360)))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/6 eps) (+.f64 (.f64 7/360 (pow.f64 eps 3)) (*.f64 31/15120 (pow.f64 eps 5)))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 3) 7/360) (.f64 (pow.f64 eps 5) 31/15120)) (+.f64 (/.f64 1 eps) (*.f64 eps 1/6)))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 eps 1/6) (+.f64 (.f64 (pow.f64 eps 3) 7/360) (*.f64 (pow.f64 eps 5) 31/15120))))
(+.f64 (.f64 eps 1/6) (+.f64 (.f64 (pow.f64 eps 3) 7/360) (+.f64 (/.f64 1 eps) (*.f64 (pow.f64 eps 5) 31/15120))))
(+.f64 (.f64 (pow.f64 eps 3) 7/360) (+.f64 (.f64 eps 1/6) (+.f64 (/.f64 1 eps) (*.f64 (pow.f64 eps 5) 31/15120))))
(+.f64 (+.f64 (.f64 eps 1/6) (+.f64 (/.f64 1 eps) (.f64 (pow.f64 eps 3) 7/360))) (*.f64 (pow.f64 eps 5) 31/15120))
(+.f64 (*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 0)
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps)))
(+.f64 0 (*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps)))
(-.f64 (*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 0)
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps)))
(/.f64 (*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps)))
(/.f64 (.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (/.f64 (.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 eps)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps)))
(/.f64 (.f64 (/.f64 1 (sin.f64 eps)) (.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)) 2)
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (sin.f64 eps)))
(+.f64 (/.f64 1 (sin.f64 eps)) 0)
(/.f64 1 (sin.f64 eps))
(+.f64 0 (/.f64 1 (sin.f64 eps)))
(/.f64 1 (sin.f64 eps))
(-.f64 (/.f64 1 (sin.f64 eps)) 0)
(/.f64 1 (sin.f64 eps))
(*.f64 1 (/.f64 1 (sin.f64 eps)))
(/.f64 1 (sin.f64 eps))
(*.f64 (/.f64 1 (sin.f64 eps)) 1)
(/.f64 1 (sin.f64 eps))
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (/.f64 1 (sin.f64 eps)))))
(/.f64 1 (sin.f64 eps))
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))))
(/.f64 1 (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (/.f64 1 (sin.f64 eps)))
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (/.f64 1 (/.f64 1 (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (/.f64 1 (sin.f64 eps)))) (/.f64 1 (sin.f64 eps)))
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))) (.f64 (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))))
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (/.f64 1 (sin.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (/.f64 1 (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) (*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))

localize240.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (/.f64 1 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
	1.5b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	2.1b	(-.f64 (cos.f64 eps) 1)
	2.9b	(sin.f64 (+.f64 x eps))

Compiler

Compiled 103 to 43 computations (58.3% saved)

eval813.0ms (3.8%)

Compiler: Compiled 31033 to 15600 computations (49.7% saved)

prune591.0ms (2.8%)

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	799	16	815
Fresh	1	18	19
Picked	1	0	1
Done	3	7	10
Total	804	41	845

Error

13.7b

Counts

845 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	38.7b	(-.f64 (+.f64 (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) x)) (.f64 (pow.f64 x 2) (.f64 -1/2 (sin.f64 eps)))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x))
	38.6b	(-.f64 (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (+.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (sin.f64 x))
✓	38.2b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
	37.7b	(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
	38.5b	(-.f64 (+.f64 (.f64 x (cos.f64 eps)) (.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))) (sin.f64 x))
	37.0b	(-.f64 (.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	37.1b	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))))
✓	36.8b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	38.3b	(-.f64 (sin.f64 (+.f64 x eps)) x)
	37.5b	(-.f64 (sin.f64 eps) (sin.f64 x))
	61.3b	(-.f64 x x)
✓	29.9b	(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
	31.6b	(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (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)))))
✓	31.1b	(+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
✓	31.5b	(+.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (+.f64 (cos.f64 eps) -1))))
	40.9b	(.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))))
	37.2b	(.f64 (-.f64 (+.f64 (.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x)) (.f64 (/.f64 1 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	37.3b	(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps)))
	40.3b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	39.1b	(.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 eps) (.f64 -1/2 (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)))))))
	40.9b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
	37.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	51.6b	(.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (+.f64 (.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (.f64 (cos.f64 x) eps))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	37.1b	(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (cos.f64 x))
	61.1b	(*.f64 (-.f64 (cos.f64 eps) 1) x)
	62.3b	(.f64 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 eps)) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (/.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 (cos.f64 eps) -1)))) (/.f64 (sin.f64 x) (.f64 x (+.f64 (cos.f64 eps) -1)))))
	31.8b	(.f64 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 eps))) (.f64 -1/6 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (.f64 -1/2 (/.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) (-.f64 1/24 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 eps))) (.f64 -1/6 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (.f64 -1/2 (/.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))))))))
	31.6b	(.f64 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
	37.6b	(.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 (sin.f64 eps) (sin.f64 x))))
	31.6b	(.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 (sin.f64 eps) (+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (pow.f64 x 2))) (*.f64 x (+.f64 (cos.f64 eps) -1))))))
	30.9b	(.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 (cos.f64 x) eps)))
	16.5b	(.f64 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) (cos.f64 x))
	47.5b	(.f64 (+.f64 (.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) x) (sin.f64 eps)) (.f64 (/.f64 1 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	47.5b	(.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1))) x) (sin.f64 eps)) (.f64 (/.f64 1 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	37.9b	(.f64 (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 x) eps) (.f64 -1/2 (.f64 (pow.f64 eps 2) x)))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
	31.5b	(.f64 (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (.f64 -1/2 (pow.f64 eps 2)))) (.f64 (/.f64 1 (.f64 eps (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
✓	30.8b	(*.f64 (cos.f64 x) eps)
	61.7b	(*.f64 (cos.f64 eps) x)
✓	29.0b	(sin.f64 eps)
	61.7b	x
	44.1b	eps

Compiler

Compiled 994 to 598 computations (39.8% saved)

regimes108.0ms (0.5%)

Counts

57 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	eps
28.0ms	x
16.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
16.5b	1	`x`
16.5b	1	`eps`
16.5b	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1246 to 515 computations (58.7% saved)

regimes84.0ms (0.4%)

Counts

19 → 3

Calls

Call 1

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

31.0ms	x
29.0ms	eps
19.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Error	Segments	Branch
16.5b	3	`x`
15.2b	3	`eps`
15.6b	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 128 to 53 computations (58.6% saved)

bsearch74.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	8.320999937490651e-10	7.0001762745755305e-6
38.0ms	-8.074422388704072e-8	-1.585109590902387e-11

Results

27.0ms	62×	body	1024	valid
24.0ms	148×	body	256	valid
12.0ms	39×	body	512	valid
7.0ms	7×	body	2048	valid

Compiler

Compiled 254 to 186 computations (26.8% saved)

regimes46.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	x
20.0ms	eps

Results

Error	Segments	Branch
16.7b	3	`x`
15.7b	3	`eps`

Compiler

Compiled 52 to 30 computations (42.3% saved)

bsearch82.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	8.320999937490651e-10	7.0001762745755305e-6
41.0ms	-8.074422388704072e-8	-1.585109590902387e-11

Results

34.0ms	76×	body	1024	valid
28.0ms	141×	body	256	valid
10.0ms	33×	body	512	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 206 to 154 computations (25.2% saved)

regimes11.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(sin.f64 eps)

Calls

2 calls:

5.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
29.0b	1	`x`
29.0b	1	`eps`

Compiler

Compiled 19 to 10 computations (47.4% saved)

regimes17.0ms (0.1%)

Accuracy

Total -18.4b remaining (-41.7%)

Threshold costs -18.4b (-41.7%)

Counts

3 → 1

Calls

Call 1

Inputs
eps
x
(-.f64 x x)

Outputs
eps

Calls

2 calls:

11.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
44.1b	1	`x`
44.1b	1	`eps`

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	141

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) (cos.f64 x))
(if (<=.f64 eps -3022314549036573/37778931862957161709568) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8264141345021879/1180591620717411303424) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3022314549036573/37778931862957161709568) (sin.f64 eps) (if (<=.f64 eps 4486248158726163/1180591620717411303424) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Outputs
(.f64 (+.f64 (.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) (cos.f64 x))
(if (<=.f64 eps -3022314549036573/37778931862957161709568) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8264141345021879/1180591620717411303424) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3022314549036573/37778931862957161709568) (sin.f64 eps) (if (<=.f64 eps 4486248158726163/1180591620717411303424) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps

Compiler

Compiled 63 to 39 computations (38.1% saved)

soundness0.0ms (0%)

end54.0ms (0.3%)

Compiler: Compiled 55 to 25 computations (54.5% 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