Details

analyze142.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
48.3%	43.7%	46.8%	0.1%	9.4%	0%	0%	7
52.6%	46.8%	42.1%	0.1%	10.9%	0%	0%	8
56.1%	46.8%	36.7%	0.1%	16.4%	0%	0%	9
58.8%	48.4%	34%	0.1%	17.6%	0%	0%	10
60.9%	48.4%	31%	0.1%	20.5%	0%	0%	11
62.5%	49.2%	29.6%	0.1%	21.2%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample5.1s (33.1%)

Results

1.9s	2068×	body	1024	infinite
1.7s	6918×	body	256	valid
583.0ms	624×	body	1024	valid
413.0ms	1047×	body	512	infinite
301.0ms	1666×	body	256	infinite
167.0ms	714×	body	512	valid
0.0ms	1×	body	2048	infinite

Bogosity

preprocess92.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1298×	`rational.json-simplify-2`
1266×	`rational.json-simplify-35`
1102×	`rational.json-simplify-51`
906×	`rational.json-simplify-61`
748×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	31	42
2	57	42
3	98	42
4	175	42
5	331	42
6	768	42
7	1333	42
8	3158	42
9	5075	42
10	7270	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y)

Outputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y)
(*.f64 (sinh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

942×	`rational.json-simplify-1`
938×	`rational.json-simplify-48`
886×	`rational.json-simplify-44`
746×	`rational.json-simplify-43`
710×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	19	21
2	32	21
3	53	21
4	92	21
5	172	21
6	395	21
7	1021	21
8	1961	21
9	3440	21
10	6481	21
11	7504	21

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Outputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

eval1.0ms (0%)

Compiler: Compiled 23 to 10 computations (56.5% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Kept	Total
New	3	3
Fresh	1	1
Picked	0	0
Done	0	0
Total	4	4

Error

0.0b

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
▶	0.1b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 (sinh.f64 y) x)
✓	0.1b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series12.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
1.0ms	y	@	0	(/.f64 (sinh.f64 y) x)
1.0ms	y	@	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
1.0ms	x	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
1.0ms	y	@	-inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`rational.json-1`
1828×	`rational.json-2`
1828×	`rational.json-4`
1828×	`rational.json-3`
1820×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	64	37
2	166	37
3	397	37
4	1041	37
5	4692	37

Stop Event

1×	node limit

Counts

3 → 224

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (.f64 (/.f64 x (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (.f64 -1 (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) x) (.f64 (/.f64 1 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) x) (.f64 1/2 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 2) (.f64 x (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 2) (+.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 2) (.f64 (.f64 x (/.f64 2 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 2) (.f64 -2 (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 x (/.f64 2 (sinh.f64 y))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (/.f64 (.f64 x (/.f64 2 (sinh.f64 y))) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sinh.f64 y) x) 2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sinh.f64 y) x) 2) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sinh.f64 y) x) 2) (.f64 2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sinh.f64 y) x) 2) (.f64 (/.f64 2 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 4) (+.f64 (.f64 x (/.f64 2 (sin.f64 x))) (.f64 x (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 4) (/.f64 (.f64 x 4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 4) (.f64 4 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 4) (.f64 (.f64 x 4) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 4) (.f64 2 (.f64 x (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 4) (.f64 (+.f64 x x) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 4) (.f64 -4 (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 4) (/.f64 4 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) 2) (.f64 x (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (sinh.f64 y) x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (/.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (.f64 (/.f64 x (neg.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (+.f64 x x)) (.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sinh.f64 y)) (.f64 (.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (neg.f64 (/.f64 x (sinh.f64 y))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 2 (sinh.f64 y))) (.f64 (.f64 2 (.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y)))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 2 (sinh.f64 y))) (.f64 (.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y))) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (.f64 x (/.f64 2 (sinh.f64 y))) (sin.f64 x)) (/.f64 (.f64 x (/.f64 2 (sinh.f64 y))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (.f64 x 4) (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 (/.f64 (.f64 x 4) (sinh.f64 y)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 (.f64 x (/.f64 2 (sinh.f64 y))) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (sinh.f64 y) x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sinh.f64 y) x) 4) (+.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sinh.f64 y) x) 4) (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sinh.f64 y) x) 4) (.f64 4 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sinh.f64 y) x) 4) (.f64 2 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 8) (/.f64 (.f64 x 8) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 8) (.f64 8 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 8) (.f64 (.f64 x 8) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) 8) (.f64 4 (.f64 x (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) 4) (/.f64 (.f64 x 4) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) 4) (.f64 (/.f64 (.f64 x 4) (sinh.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (.f64 x (/.f64 1/2 (sinh.f64 y))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 x (sinh.f64 y)) (.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 (/.f64 1/2 (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) -2) (+.f64 (/.f64 x (neg.f64 (sin.f64 x))) (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) -2) (/.f64 (.f64 x -2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) -2) (/.f64 (neg.f64 (+.f64 x x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) -2) (.f64 (.f64 x -2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) -2) (.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) -2) (.f64 (neg.f64 x) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 y) -2) (.f64 2 (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sinh.f64 y) x)) (/.f64 (.f64 (/.f64 (sinh.f64 y) x) 2) (.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 (sinh.f64 y) x) 4)) (.f64 8 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sinh.f64 y) 8)) (.f64 (.f64 2 (.f64 x 8)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (+.f64 (/.f64 (.f64 x 4) (sinh.f64 y)) (/.f64 (.f64 x 4) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (.f64 8 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 (sinh.f64 y) x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (/.f64 1/2 (sinh.f64 y)))))) 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Outputs

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(neg.f64 (sin.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 x (neg.f64 (sin.f64 x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) (/.f64 x (neg.f64 (sin.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 x (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (-.f64 0 (*.f64 x (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (-.f64 0 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sinh.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sinh.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sinh.f64 y)))))))

simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1800×	`rational.json-simplify-35`
1604×	`rational.json-simplify-49`
1156×	`rational.json-simplify-44`
1000×	`rational.json-simplify-47`
882×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	6844
1	1761	6684
2	7723	6684

Stop Event

1×	node limit

Counts

284 → 290

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 y x) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) x)) (.f64 1/120 (/.f64 (pow.f64 y 5) x))))
(+.f64 (.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (+.f64 (/.f64 y x) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
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(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(/.f64 (*.f64 (sinh.f64 y) 4) 4)
(/.f64 (neg.f64 (sinh.f64 y)) -1)
(/.f64 (*.f64 (sinh.f64 y) 8) 8)
(/.f64 (*.f64 (sinh.f64 y) -2) -2)
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 8)) 16)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) -4)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) 2)
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) -1) 4)
(pow.f64 (sinh.f64 y) 1)
(neg.f64 (neg.f64 (sinh.f64 y)))

Outputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 2) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/240 (pow.f64 x 4))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/240 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 6) -1/10080)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/10080 (pow.f64 x 6))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/240 (pow.f64 x 4))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2))))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/240 (pow.f64 x 4))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/10080 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 y (/.f64 (sin.f64 x) x)) (.f64 (sin.f64 x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x))) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 y (/.f64 (sin.f64 x) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (/.f64 (sin.f64 x) x))) (.f64 (sin.f64 x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 y (/.f64 (sin.f64 x) x)) (+.f64 (.f64 (sin.f64 x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))) (.f64 1/120 (*.f64 (pow.f64 y 5) (/.f64 (sin.f64 x) x)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x))) (+.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/5040 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)))) (.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (sin.f64 x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))) (+.f64 (.f64 y (/.f64 (sin.f64 x) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (/.f64 (sin.f64 x) x))) (.f64 1/5040 (*.f64 (pow.f64 y 7) (/.f64 (sin.f64 x) x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 y x) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) x)) (.f64 1/120 (/.f64 (pow.f64 y 5) x))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 y x) (.f64 1/120 (/.f64 (pow.f64 y 5) x))))
(+.f64 (.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (+.f64 (/.f64 y x) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))))
(+.f64 (/.f64 y x) (+.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) x)) (.f64 1/120 (/.f64 (pow.f64 y 5) x))) (*.f64 1/5040 (/.f64 (pow.f64 y 7) x))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (*.f64 1/5040 (pow.f64 y 7))))
(+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (+.f64 (.f64 1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5))))
(+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (sinh.f64 y) (*.f64 (/.f64 x (sin.f64 x)) 1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (sinh.f64 y) (*.f64 -1 (/.f64 x (neg.f64 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (sinh.f64 y) x) (*.f64 (/.f64 1 (sin.f64 x)) 1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (sinh.f64 y) x) (*.f64 1/2 (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 1 (.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) 1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (.f64 (sinh.f64 y) 2) (.f64 x (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sinh.f64 y) 2) (+.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
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(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 4) 4)
(sinh.f64 y)
(/.f64 (neg.f64 (sinh.f64 y)) -1)
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 8) 8)
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) -2) -2)
(sinh.f64 y)
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 8)) 16)
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) -4)
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) 2)
(sinh.f64 y)
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) -1) 4)
(sinh.f64 y)
(pow.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(neg.f64 (neg.f64 (sinh.f64 y)))
(sinh.f64 y)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
✓	0.1b	(/.f64 (sin.f64 x) x)

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`rational.json-1`
1830×	`rational.json-2`
1830×	`rational.json-4`
1830×	`rational.json-3`
1822×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	64	32
2	166	32
3	402	32
4	1062	32
5	4622	32

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) x)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (.f64 (sin.f64 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 x) (.f64 (.f64 2 (/.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 x) (.f64 (/.f64 2 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) (/.f64 2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 4) (/.f64 2 (.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 4) (.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 4) (.f64 (/.f64 2 (.f64 x 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 4) (.f64 1/4 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 x)) (.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sin.f64 x)) (/.f64 x (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (.f64 (/.f64 x (sinh.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (.f64 -1 (/.f64 x (neg.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (.f64 (/.f64 1 (sinh.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (.f64 1/2 (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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Outputs

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

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1734×	`rational.json-simplify-35`
1028×	`rational.json-simplify-51`
780×	`rational.json-simplify-61`
754×	`rational.json-simplify-49`
732×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	6131
1	1702	5891
2	5855	5733

Stop Event

1×	node limit

Counts

225 → 264

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(+.f64 0 (/.f64 (sin.f64 x) x))
(+.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (.f64 (sin.f64 x) (/.f64 1/2 x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(.f64 x (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 1 x))
(.f64 (sin.f64 x) (.f64 (*.f64 2 (/.f64 1 x)) 1/2))
(.f64 (sin.f64 x) (.f64 (/.f64 2 x) 1/2))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 x))
(.f64 2 (.f64 (sin.f64 x) (/.f64 1/2 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 2 x)) 1/2)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 2 (*.f64 x 8)))
(.f64 (.f64 (sin.f64 x) 4) (*.f64 1/2 (/.f64 1/2 x)))
(.f64 (.f64 (sin.f64 x) 4) (.f64 (/.f64 2 (.f64 x 8)) 1))
(.f64 (.f64 (sin.f64 x) 4) (*.f64 1/4 (/.f64 1 x)))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 -1 x) 1))
(.f64 (neg.f64 (sin.f64 x)) (.f64 -1 (/.f64 1 x)))
(.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))))
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 -1 (.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) 2) (neg.f64 (+.f64 x x))))
(.f64 (.f64 x (/.f64 2 (sin.f64 x))) (/.f64 1 (.f64 2 (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))))
(.f64 (.f64 x (/.f64 2 (sin.f64 x))) (/.f64 1/2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(.f64 4 (/.f64 (sin.f64 x) (.f64 x 4)))
(*.f64 4 (/.f64 (/.f64 (sin.f64 x) x) 4))
(.f64 (.f64 (/.f64 (sin.f64 x) x) 4) 1/4)
(.f64 (.f64 (sin.f64 x) 8) (/.f64 1 (*.f64 x 8)))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 x (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 x x) (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 (sin.f64 x) 2))
(.f64 (.f64 (sin.f64 x) -2) (/.f64 1/2 (neg.f64 x)))
(.f64 (.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 x -2)))
(.f64 (.f64 (sin.f64 x) -2) (/.f64 1 (neg.f64 (+.f64 x x))))
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 (sin.f64 x) 1/2))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1)
(.f64 (/.f64 2 x) (.f64 (sin.f64 x) 1/2))
(.f64 (.f64 1/2 (/.f64 x (sin.f64 x))) (/.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (+.f64 x x) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) 2)
(.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (neg.f64 x) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 2 x))
(.f64 1/4 (.f64 (/.f64 (sin.f64 x) x) 4))
(.f64 (/.f64 2 (.f64 x 8)) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 x (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
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(-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
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(/.f64 (sin.f64 x) (*.f64 (/.f64 x (sinh.f64 y)) 1))
(/.f64 (sin.f64 x) (*.f64 -1 (/.f64 x (neg.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 1 (sinh.f64 y)) 1))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 1/2 (/.f64 2 (sinh.f64 y))))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)))
(/.f64 1 (*.f64 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)) 1))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 x (/.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) 2) (+.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (*.f64 x (/.f64 2 (sinh.f64 y))) 1))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 -2 (/.f64 x (neg.f64 (sinh.f64 y)))))
(/.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))))
(/.f64 2 (+.f64 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y))))
(/.f64 2 (.f64 (.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) 1))
(/.f64 (.f64 (sinh.f64 y) 2) (.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (.f64 (sinh.f64 y) 2)) 2)
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 x)) (/.f64 2 (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 x)) (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (.f64 2 (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (.f64 (/.f64 2 (sinh.f64 y)) 1))
(/.f64 (.f64 (sin.f64 x) 4) (+.f64 (.f64 x (/.f64 2 (sinh.f64 y))) (*.f64 x (/.f64 2 (sinh.f64 y)))))
(/.f64 (.f64 (sin.f64 x) 4) (/.f64 (.f64 x 4) (sinh.f64 y)))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 4 (/.f64 x (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (*.f64 x 4) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 2 (*.f64 x (/.f64 2 (sinh.f64 y)))))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (+.f64 x x) (/.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 -4 (/.f64 x (neg.f64 (sinh.f64 y)))))
(/.f64 (*.f64 (sin.f64 x) 4) (/.f64 4 (/.f64 (sinh.f64 y) x)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 x (neg.f64 (sinh.f64 y))) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (+.f64 x x)) (*.f64 (sinh.f64 y) 2)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 (sinh.f64 y) x)))
(/.f64 (/.f64 x (sin.f64 x)) (.f64 (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 1 (sinh.f64 y))))
(/.f64 -1 (/.f64 (/.f64 x (neg.f64 (sin.f64 x))) (sinh.f64 y)))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 x (/.f64 2 (sin.f64 x))) (.f64 (.f64 2 (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 x (/.f64 2 (sin.f64 x))) (.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 2 (sinh.f64 y))))
(/.f64 4 (+.f64 (.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) (.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))
(/.f64 4 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 4) (sinh.f64 y)))
(/.f64 4 (.f64 (.f64 (/.f64 x (sin.f64 x)) 4) (/.f64 1 (sinh.f64 y))))
(/.f64 4 (.f64 (.f64 x (/.f64 2 (sin.f64 x))) (/.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (sinh.f64 y) (.f64 (/.f64 (sin.f64 x) x) 4)) 4)
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) 4) (+.f64 (/.f64 2 (sinh.f64 y)) (/.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) 4) (/.f64 4 (sinh.f64 y)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) 4) (.f64 4 (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) 4) (.f64 2 (/.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) 8) (/.f64 (.f64 x 8) (sinh.f64 y)))
(/.f64 (.f64 (sin.f64 x) 8) (.f64 8 (/.f64 x (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) 8) (.f64 (*.f64 x 8) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) 8) (.f64 4 (*.f64 x (/.f64 2 (sinh.f64 y)))))
(/.f64 (.f64 (sinh.f64 y) 4) (.f64 (/.f64 x (sin.f64 x)) 4))
(/.f64 (.f64 (sinh.f64 y) 4) (.f64 (*.f64 (/.f64 x (sin.f64 x)) 4) 1))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
(/.f64 1/2 (/.f64 (*.f64 1/2 (/.f64 x (sin.f64 x))) (sinh.f64 y)))
(/.f64 1/2 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (sinh.f64 y) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1/2 (sin.f64 x)) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (/.f64 x (neg.f64 (sinh.f64 y)))))
(/.f64 (.f64 (sin.f64 x) -2) (/.f64 (.f64 x -2) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) -2) (/.f64 (neg.f64 (+.f64 x x)) (sinh.f64 y)))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (*.f64 x -2) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (neg.f64 x) (/.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 2 (/.f64 x (neg.f64 (sinh.f64 y)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (*.f64 (sinh.f64 y) 2)))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) (+.f64 (.f64 (/.f64 x (sin.f64 x)) 4) (.f64 (/.f64 x (sin.f64 x)) 4)))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) (*.f64 8 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (*.f64 (/.f64 (sin.f64 x) x) 4))) 8)
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) x) 4)) (*.f64 8 (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) (.f64 (.f64 2 (*.f64 x 8)) (/.f64 1 (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 x)) (/.f64 1/2 (sin.f64 x)))
(/.f64 (.f64 (/.f64 x (sin.f64 x)) 4) (.f64 (.f64 2 (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))) (/.f64 2 (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 -1 (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (*.f64 -1 (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 2 x))) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (/.f64 1 (.f64 (sinh.f64 y) 2)))
(/.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (.f64 1/2 (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 (sinh.f64 y) 1/2) (.f64 1/2 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (.f64 (sinh.f64 y) 1/2)) 1/2)
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 -1 (sinh.f64 y)))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (neg.f64 (/.f64 x (sin.f64 x))) 1))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (.f64 2 (.f64 x -2)) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (*.f64 2 (neg.f64 (+.f64 x x))) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (neg.f64 (*.f64 x 4)) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 4 (/.f64 x (neg.f64 (sinh.f64 y)))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) -2)) (.f64 x (/.f64 2 (sinh.f64 y))))
(/.f64 (+.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sinh.f64 y) x)) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (sinh.f64 y) (.f64 (/.f64 (sin.f64 x) x) 4))) (.f64 2 (.f64 (sinh.f64 y) (.f64 (/.f64 (sin.f64 x) x) 4)))) 16)
(/.f64 (+.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (sinh.f64 y))) (+.f64 (neg.f64 (/.f64 x (sin.f64 x))) (neg.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) x) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 8) (/.f64 x (sinh.f64 y))) 8)
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x)
(/.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y))) (+.f64 x x))
(/.f64 (/.f64 2 (/.f64 1 (sinh.f64 y))) (*.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y))) (.f64 x 4))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y))) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (.f64 x (/.f64 2 (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 4 (/.f64 1 (sinh.f64 y))) (*.f64 (/.f64 x (sin.f64 x)) 4))
(/.f64 (/.f64 (.f64 (sin.f64 x) 8) (/.f64 1 (sinh.f64 y))) (.f64 x 8))
(/.f64 (/.f64 (.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (.f64 x -2))
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (neg.f64 (+.f64 x x)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) x) 4)) (/.f64 1 (sinh.f64 y))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) (/.f64 1 (sinh.f64 y))) (.f64 2 (.f64 x 8)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 1 (sinh.f64 y))) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (.f64 2 (*.f64 x -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (neg.f64 (.f64 x 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (/.f64 1 (sinh.f64 y))) (+.f64 x x))
(/.f64 (/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) (/.f64 x (sin.f64 x))) 8)
(/.f64 (/.f64 1 (/.f64 2 (sinh.f64 y))) (*.f64 1/2 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (sinh.f64 y))) x)
(/.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 2 (sinh.f64 y))) (+.f64 x x))
(/.f64 (/.f64 (.f64 x (/.f64 2 (sin.f64 x))) (/.f64 2 (sinh.f64 y))) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 4 (/.f64 2 (sinh.f64 y))) (*.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 2 (sinh.f64 y))) (neg.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 x (sin.f64 x)) 4) (/.f64 2 (sinh.f64 y))) (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (.f64 (/.f64 x (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 2 x))) (/.f64 2 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 x (neg.f64 (sinh.f64 y)))) -2)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 x (neg.f64 (sinh.f64 y)))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 x))) (/.f64 x (neg.f64 (sinh.f64 y)))) 4)
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)
(/.f64 (/.f64 (sinh.f64 y) 1/2) (*.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 -1 (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) 2)) (-.f64 0 (.f64 x (/.f64 2 (sin.f64 x)))))
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (-.f64 0 (/.f64 1 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 1/120 (pow.f64 x 4)) (*.f64 -1/5040 (pow.f64 x 6)))))
(+.f64 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))) (-.f64 (*.f64 -1/5040 (pow.f64 x 6)) -1))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 1/120 (pow.f64 x 4)) (+.f64 1 (*.f64 -1/5040 (pow.f64 x 6)))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 y 3) x) 1/6)))
(.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 (/.f64 (pow.f64 y 3) x) 1/6)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)))))
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(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
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(+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 (/.f64 (pow.f64 y 3) x) 1/6))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (/.f64 (sin.f64 x) x))) (.f64 (sin.f64 x) (.f64 (/.f64 (pow.f64 y 7) x) 1/5040))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (pow.f64 x 2) -1/12)))
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(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))
(+.f64 (.f64 (pow.f64 x 4) (.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (pow.f64 x 2) -1/12))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 (pow.f64 x 2) -1/12) (+.f64 1/2 (*.f64 (pow.f64 x 4) 1/240))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (+.f64 (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 4) 1/240)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 6) -1/10080))) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 6) -1/10080)) (+.f64 (.f64 (pow.f64 x 4) (.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (pow.f64 x 2) -1/12)))))
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(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
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(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
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(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
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(/.f64 (sin.f64 x) x)
(+.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (.f64 (sin.f64 x) (/.f64 1/2 x)))
(*.f64 (/.f64 1/2 x) (+.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 1/2 x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(.f64 x (/.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
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(/.f64 1/2 (/.f64 (*.f64 1/2 (/.f64 x (sin.f64 x))) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 1/2 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (sinh.f64 y) 2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1/2 (sin.f64 x)) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (/.f64 x (neg.f64 (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) -2) (/.f64 (.f64 x -2) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sin.f64 x) -2) (/.f64 (neg.f64 (+.f64 x x)) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (*.f64 x -2) (/.f64 1 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (neg.f64 x) (/.f64 2 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 2 (/.f64 x (neg.f64 (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (*.f64 (sinh.f64 y) 2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) (+.f64 (.f64 (/.f64 x (sin.f64 x)) 4) (.f64 (/.f64 x (sin.f64 x)) 4)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) (*.f64 8 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (*.f64 (/.f64 (sin.f64 x) x) 4))) 8)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) x) 4)) (*.f64 8 (/.f64 1 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) (.f64 (.f64 2 (*.f64 x 8)) (/.f64 1 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 x)) (/.f64 1/2 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (/.f64 x (sin.f64 x)) 4) (.f64 (.f64 2 (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))) (/.f64 2 (sinh.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 2 (.f64 4 (/.f64 x (sin.f64 x))))) (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) 2) (.f64 1/2 (/.f64 (sin.f64 x) x))) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (/.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 -1 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (*.f64 -1 (/.f64 1 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 2 x))) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 2 (.f64 4 (/.f64 x (sin.f64 x))))) (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) 2) (.f64 1/2 (/.f64 (sin.f64 x) x))) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (/.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)))
(/.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (/.f64 1 (.f64 (sinh.f64 y) 2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (.f64 1/2 (/.f64 1 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sinh.f64 y) 1/2) (.f64 1/2 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (*.f64 1/2 (sinh.f64 y)) 1/2) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (*.f64 (sinh.f64 y) 1)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (.f64 (sinh.f64 y) 1/2)) 1/2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 -1 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (neg.f64 (/.f64 x (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (.f64 2 (.f64 x -2)) (/.f64 1 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (*.f64 2 (neg.f64 (+.f64 x x))) (/.f64 1 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (neg.f64 (*.f64 x 4)) (/.f64 1 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 4 (/.f64 x (neg.f64 (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) -2)) (.f64 x (/.f64 2 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (+.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sinh.f64 y) x)) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (+.f64 (.f64 2 (.f64 (sinh.f64 y) (.f64 (/.f64 (sin.f64 x) x) 4))) (.f64 2 (.f64 (sinh.f64 y) (.f64 (/.f64 (sin.f64 x) x) 4)))) 16)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (+.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (sinh.f64 y))) (+.f64 (neg.f64 (/.f64 x (sin.f64 x))) (neg.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) x) (/.f64 2 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 8) (/.f64 x (sinh.f64 y))) 8)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y))) (+.f64 x x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 2 (/.f64 1 (sinh.f64 y))) (*.f64 x (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y))) (.f64 x 4))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (neg.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y))) (neg.f64 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 x (/.f64 2 (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 x (/.f64 1 (sinh.f64 y)))) (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 4 (/.f64 1 (sinh.f64 y))) (*.f64 (/.f64 x (sin.f64 x)) 4))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 (sin.f64 x) 8) (/.f64 1 (sinh.f64 y))) (.f64 x 8))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (.f64 x -2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (neg.f64 (+.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) x) 4)) (/.f64 1 (sinh.f64 y))) 8)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) (/.f64 1 (sinh.f64 y))) (.f64 2 (.f64 x 8)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 1 (sinh.f64 y))) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (.f64 2 (*.f64 x -2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (.f64 2 (neg.f64 (+.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (neg.f64 (.f64 x 4)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (/.f64 1 (sinh.f64 y))) (+.f64 x x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) (/.f64 x (sin.f64 x))) 8)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 1 (/.f64 2 (sinh.f64 y))) (*.f64 1/2 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (sinh.f64 y))) x)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 2 (sinh.f64 y))) (+.f64 x x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 x (/.f64 2 (sin.f64 x))) (/.f64 2 (sinh.f64 y))) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 x (/.f64 2 (sinh.f64 y)))) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(.f64 x (/.f64 (/.f64 2 (sin.f64 x)) (.f64 (/.f64 x (sin.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))))))
(/.f64 (/.f64 4 (/.f64 2 (sinh.f64 y))) (*.f64 x (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 2 (sinh.f64 y))) (neg.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 (/.f64 x (sin.f64 x)) 4) (/.f64 2 (sinh.f64 y))) (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 2 (.f64 4 (/.f64 x (sin.f64 x))))) (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) 2) (.f64 1/2 (/.f64 (sin.f64 x) x))) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (/.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (.f64 (/.f64 x (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 2 x))) (/.f64 2 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 2 (.f64 4 (/.f64 x (sin.f64 x))))) (.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) 2) (.f64 1/2 (/.f64 (sin.f64 x) x))) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (/.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 x (neg.f64 (sinh.f64 y)))) -2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 x (neg.f64 (sinh.f64 y)))) -4)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 x))) (/.f64 x (neg.f64 (sinh.f64 y)))) 4)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (sinh.f64 y) 1/2) (*.f64 x (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 -1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) 2)) (-.f64 0 (.f64 x (/.f64 2 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (-.f64 0 (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	14.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`rational.json-simplify-35`
1392×	`rational.json-1`
1392×	`rational.json-2`
1392×	`rational.json-4`
1392×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	66	36
2	186	36
3	505	36
4	1556	36
5	4178	36

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))))

simplify189.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational.json-simplify-41`
960×	`rational.json-simplify-2`
912×	`rational.json-simplify-35`
840×	`rational.json-simplify-46`
734×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	4210
1	627	4138
2	1323	3934
3	2629	3934
4	5069	3934
5	7116	3934
6	7852	3934

Stop Event

1×	node limit

Counts

138 → 158

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 y (sin.f64 x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 x))) (*.f64 y (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(+.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 0)
(+.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))))
(+.f64 (/.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2) (/.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2))
(-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 0)
(-.f64 0 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (sin.f64 x) (.f64 (.f64 2 (/.f64 1 x)) (.f64 (sinh.f64 y) 1/2)))
(.f64 (sin.f64 x) (.f64 (/.f64 2 x) (*.f64 (sinh.f64 y) 1/2)))
(.f64 (sin.f64 x) (.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)) 1/2))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(.f64 (sinh.f64 y) (.f64 1/2 (*.f64 (sin.f64 x) (/.f64 2 x))))
(.f64 (sinh.f64 y) (.f64 (/.f64 2 x) (*.f64 (sin.f64 x) 1/2)))
(.f64 (sinh.f64 y) (.f64 (*.f64 (sin.f64 x) (/.f64 2 x)) 1/2))
(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (.f64 (.f64 2 (/.f64 1 x)) 1/2))
(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 (/.f64 2 x) 1/2))
(.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1)
(.f64 1 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))
(.f64 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (/.f64 1/2 x))
(.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)) (.f64 (/.f64 1 x) 1/2))
(.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)) (.f64 (*.f64 (/.f64 1 x) 1/2) 1))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(.f64 2 (/.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2))
(.f64 2 (.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 x)) (sin.f64 x)))
(.f64 2 (.f64 (*.f64 (sin.f64 x) (/.f64 1/2 x)) (sinh.f64 y)))
(.f64 2 (.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2) 1))
(.f64 2 (.f64 (*.f64 (sinh.f64 y) 1/2) (/.f64 (sin.f64 x) x)))
(.f64 2 (.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 (sinh.f64 y) x)))
(.f64 2 (.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2) (/.f64 1 x)))
(.f64 2 (.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1/2 x))))
(.f64 2 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 1/2 x))))
(.f64 2 (.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1/2 x)))
(.f64 2 (.f64 (/.f64 (sinh.f64 y) x) (*.f64 (sin.f64 x) 1/2)))
(.f64 2 (.f64 (/.f64 (sin.f64 x) x) (*.f64 (sinh.f64 y) 1/2)))
(.f64 2 (.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1/2))
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 (sin.f64 x) (sinh.f64 y))))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (sinh.f64 y) (/.f64 1/2 x)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 1/2 (/.f64 (sinh.f64 y) x)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) x) 1/2))
(.f64 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 x))) 1/2)
(.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 4)) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 4)) (.f64 (/.f64 1 (*.f64 x 4)) 1))
(.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 4)) (.f64 1/4 (/.f64 1 x)))
(.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 4)) (.f64 1/2 (/.f64 1/2 x)))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (/.f64 1/2 x)))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 1/2 (/.f64 (sin.f64 x) x)))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) x) 1/2))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
(.f64 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 -1 x))
(.f64 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 (/.f64 -1 x) 1))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 -1 x) (sinh.f64 y)))
(.f64 (neg.f64 (sin.f64 x)) (.f64 -1 (/.f64 (sinh.f64 y) x)))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(.f64 -1 (.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y)))
(.f64 -1 (.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) 1))
(.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (*.f64 (sinh.f64 y) 1/2))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) (*.f64 (sin.f64 x) 1/2))
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (*.f64 (sinh.f64 y) 2))
(.f64 (.f64 (sinh.f64 y) (/.f64 1/2 x)) (*.f64 (sin.f64 x) 2))
(.f64 (/.f64 1/2 x) (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)))
(.f64 (.f64 (sin.f64 x) 1/2) (*.f64 (sinh.f64 y) (/.f64 2 x)))
(.f64 (.f64 (sinh.f64 y) 1/2) (*.f64 (sin.f64 x) (/.f64 2 x)))
(.f64 1/2 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 x))))
(.f64 (.f64 (/.f64 1 x) 1/2) (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)))
(.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) -1)
(.f64 (/.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2) 2)
(.f64 (/.f64 1 (.f64 x 4)) (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 4)))
(.f64 (/.f64 -1 x) (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1)
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))
(+.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) 2) (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) 2))
(+.f64 (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) -1)
(-.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 0)
(-.f64 0 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)) 2)
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 4)) 4)
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) -1)
(/.f64 (.f64 (.f64 (sin.f64 x) (sinh.f64 y)) 8) 8)
(/.f64 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) -2)) -2)
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 8)) 16)
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 x) (sinh.f64 y)) 8))) 32)
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))

Outputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 2) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (pow.f64 x 2))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 1/240 (pow.f64 x 4)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/12 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/240 (pow.f64 x 4)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (+.f64 (.f64 1/240 (pow.f64 x 4)) (*.f64 -1/12 (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 4) 1/240)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/10080)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/10080 (pow.f64 x 6))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (pow.f64 x 2))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 1/240 (pow.f64 x 4))))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/10080 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 1/240 (pow.f64 x 4)) (*.f64 -1/10080 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 y 3) x) 1/6)))
(.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)))))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (+.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (pow.f64 y 5) x) 1/120)) (.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 y 3) x) 1/6))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/6 (/.f64 (pow.f64 y 3) x)))) (.f64 (sin.f64 x) (.f64 1/120 (/.f64 (pow.f64 y 5) x))))
(+.f64 (.f64 (sin.f64 x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))) (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/120 (/.f64 (pow.f64 y 5) x)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))) (+.f64 (.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x))) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/5040 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x))))))
(+.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (pow.f64 y 3) x) 1/6)) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (+.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (pow.f64 y 7) x) 1/5040)) (.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 y 5) x) 1/120)))))
(+.f64 (.f64 (sin.f64 x) (.f64 1/120 (/.f64 (pow.f64 y 5) x))) (+.f64 (.f64 (sin.f64 x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))) (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/5040 (/.f64 (pow.f64 y 7) x))))))
(+.f64 (.f64 (sin.f64 x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (/.f64 (sin.f64 x) x))) (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/5040 (/.f64 (pow.f64 y 7) x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 3) -1/12)))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (pow.f64 x 3))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 3) -1/12)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 5) 1/240))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/240 (pow.f64 x 5))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (pow.f64 x 3)))))
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (*.f64 (sinh.f64 y) 2))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sinh.f64 y) (/.f64 1/2 x)) (*.f64 (sin.f64 x) 2))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 1/2 x) (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sin.f64 x) 1/2) (*.f64 (sinh.f64 y) (/.f64 2 x)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sinh.f64 y) 1/2) (*.f64 (sin.f64 x) (/.f64 2 x)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 1/2 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 x))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (/.f64 1 x) 1/2) (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) -1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2) 2)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 4)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 -1 x) (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(+.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 0)
(*.f64 (sin.f64 x) (sinh.f64 y))
(+.f64 0 (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(+.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) 2) (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) 2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(+.f64 (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) -1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(-.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 0)
(*.f64 (sin.f64 x) (sinh.f64 y))
(-.f64 0 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)) 2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 4)) 4)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) -1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 x) (sinh.f64 y)) 8) 8)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) -2)) -2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 8)) 16)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2))) -4)
(*.f64 (sin.f64 x) (sinh.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 x) (sinh.f64 y)) 8))) 32)
(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))

eval354.0ms (2.3%)

Compiler: Compiled 11869 to 5611 computations (52.7% saved)

prune289.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	786	8	794
Fresh	0	0	0
Picked	0	1	1
Done	2	0	2
Total	788	9	797

Error

Counts

797 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.6b	(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)
✓	14.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	15.7b	(/.f64 (*.f64 (sin.f64 x) y) x)
▶	0.1b	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
	0.9b	(/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)))
▶	14.5b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
▶	30.0b	(*.f64 (sinh.f64 y) 1)
▶	1.4b	(*.f64 (sin.f64 x) (/.f64 y x))
	1.3b	(*.f64 y (/.f64 (sin.f64 x) x))

Compiler

Compiled 153 to 106 computations (30.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
✓	0.1b	(/.f64 x (sin.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`rational.json-1`
1712×	`rational.json-2`
1712×	`rational.json-4`
1712×	`rational.json-3`
1688×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	68	32
2	212	32
3	647	32
4	2316	32
5	6095	32

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 x (sin.f64 x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))

Outputs

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

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

simplify320.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1716×	`rational.json-simplify-35`
1016×	`rational.json-simplify-41`
948×	`rational.json-simplify-2`
874×	`rational.json-simplify-53`
786×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2839
1	432	2755
2	920	2653
3	2485	2585
4	4905	2585
5	7351	2585

Stop Event

1×	node limit

Counts

107 → 132

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (.f64 7/360 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 7/360 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(+.f64 (/.f64 x (sin.f64 x)) 0)
(+.f64 0 (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 x (.f64 (sin.f64 x) 2)) (/.f64 x (.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 x (sin.f64 x)) 0)
(-.f64 0 (/.f64 x (neg.f64 (sin.f64 x))))
(*.f64 x (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) 1)
(*.f64 1 (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (+.f64 x x) (sin.f64 x)) 1/2)
(*.f64 (+.f64 x x) (/.f64 1/2 (sin.f64 x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (sin.f64 x)) 1/2))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) 2))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) x))
(.f64 (.f64 (/.f64 x (sin.f64 x)) 4) 1/4)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 1 (sin.f64 x)) x)
(*.f64 (neg.f64 x) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 x (neg.f64 (sin.f64 x))) -1)
(*.f64 -1 (/.f64 x (neg.f64 (sin.f64 x))))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 x 2))
(*.f64 1/2 (/.f64 (+.f64 x x) (sin.f64 x)))
(*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 x x))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/2) (+.f64 x x))
(.f64 (/.f64 x (.f64 (sin.f64 x) 2)) 2)
(.f64 1/4 (.f64 (/.f64 x (sin.f64 x)) 4))
(.f64 (/.f64 x 2) (.f64 2 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) 2) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 x 4))
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 x))
(pow.f64 (/.f64 x (sin.f64 x)) 1)
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
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(-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(.f64 1 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
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(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) x) 1/2))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 x x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (sinh.f64 y) (+.f64 x x)))
(*.f64 2 (/.f64 (sinh.f64 y) (/.f64 (+.f64 x x) (sin.f64 x))))
(*.f64 2 (/.f64 (sin.f64 x) (/.f64 (+.f64 x x) (sinh.f64 y))))
(.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(.f64 2 (.f64 (/.f64 (sinh.f64 y) (+.f64 x x)) (sin.f64 x)))
(.f64 2 (.f64 (/.f64 (/.f64 (sin.f64 x) x) 2) (sinh.f64 y)))
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(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) 4)))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (/.f64 (*.f64 x 4) (sinh.f64 y))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 x (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 x (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (/.f64 1 (sinh.f64 y))))
(*.f64 -1 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(.f64 1/2 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) 2) (.f64 (sinh.f64 y) 2))
(.f64 (/.f64 (sinh.f64 y) (+.f64 x x)) (.f64 (sin.f64 x) 2))
(.f64 (.f64 (/.f64 (sin.f64 x) x) 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 x (sin.f64 x))) -1)
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 x))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (+.f64 x x) (sin.f64 x))) 2)
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 x x) (sinh.f64 y))) 2)
(.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 x (sin.f64 x)) 4)) (*.f64 (sinh.f64 y) 4))
(.f64 (/.f64 1 (/.f64 (.f64 x 4) (sinh.f64 y))) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 -1 (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 -1 (/.f64 x (sinh.f64 y))) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 x (sin.f64 x))))

Outputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 7/360 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
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(/.f64 (*.f64 y (sin.f64 x)) x)
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(.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))))
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(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(+.f64 (/.f64 x (sin.f64 x)) 0)
(/.f64 x (sin.f64 x))
(+.f64 0 (/.f64 x (sin.f64 x)))
(/.f64 x (sin.f64 x))
(+.f64 (/.f64 x (.f64 (sin.f64 x) 2)) (/.f64 x (.f64 (sin.f64 x) 2)))
(/.f64 x (sin.f64 x))
(-.f64 (/.f64 x (sin.f64 x)) 0)
(/.f64 x (sin.f64 x))
(-.f64 0 (/.f64 x (neg.f64 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 x (/.f64 1 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) 1)
(/.f64 x (sin.f64 x))
(*.f64 1 (/.f64 x (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 (+.f64 x x) (sin.f64 x)) 1/2)
(/.f64 x (sin.f64 x))
(*.f64 (+.f64 x x) (/.f64 1/2 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (sin.f64 x)) 1/2))
(/.f64 x (sin.f64 x))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) 2)))
(/.f64 x (sin.f64 x))
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) 2))
(/.f64 x (sin.f64 x))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) x))
(/.f64 x (sin.f64 x))
(.f64 (.f64 (/.f64 x (sin.f64 x)) 4) 1/4)
(/.f64 x (sin.f64 x))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) x)
(/.f64 x (sin.f64 x))
(*.f64 (neg.f64 x) (/.f64 -1 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 x (neg.f64 (sin.f64 x))) -1)
(/.f64 x (sin.f64 x))
(*.f64 -1 (/.f64 x (neg.f64 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(.f64 (.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 x 2))
(/.f64 x (sin.f64 x))
(*.f64 1/2 (/.f64 (+.f64 x x) (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 x x))
(/.f64 x (sin.f64 x))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/2) (+.f64 x x))
(/.f64 x (sin.f64 x))
(.f64 (/.f64 x (.f64 (sin.f64 x) 2)) 2)
(/.f64 x (sin.f64 x))
(.f64 1/4 (.f64 (/.f64 x (sin.f64 x)) 4))
(/.f64 x (sin.f64 x))
(.f64 (/.f64 x 2) (.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) 2) 2)
(/.f64 x (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) 4)) (*.f64 x 4))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 x))
(/.f64 x (sin.f64 x))
(pow.f64 (/.f64 x (sin.f64 x)) 1)
(/.f64 x (sin.f64 x))
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(+.f64 (/.f64 (sinh.f64 y) (/.f64 (+.f64 x x) (sin.f64 x))) (/.f64 (sinh.f64 y) (/.f64 (+.f64 x x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 1 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 (/.f64 (sin.f64 x) x) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) x) 1/2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 x x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (sinh.f64 y) (+.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 2 (/.f64 (sinh.f64 y) (/.f64 (+.f64 x x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 2 (/.f64 (sin.f64 x) (/.f64 (+.f64 x x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 2 (.f64 (/.f64 (sinh.f64 y) (+.f64 x x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 2 (.f64 (/.f64 (/.f64 (sin.f64 x) x) 2) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 x))) 1/2)
(.f64 1/2 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 x))))
(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (*.f64 1/2 (/.f64 2 x))))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) 4)))
(.f64 (.f64 4 (sinh.f64 y)) (/.f64 1 (*.f64 4 (/.f64 x (sin.f64 x)))))
(.f64 (.f64 4 (sinh.f64 y)) (/.f64 1/4 (/.f64 x (sin.f64 x))))
(.f64 4 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (*.f64 x 4))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (/.f64 (*.f64 x 4) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 x (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (/.f64 1 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 -1 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 1 x) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(.f64 1/2 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 x))))
(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (*.f64 1/2 (/.f64 2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) 2) (.f64 (sinh.f64 y) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 (sinh.f64 y) (+.f64 x x)) (.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (/.f64 (sin.f64 x) x) 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 x (sin.f64 x))) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (+.f64 x x) (sin.f64 x))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 x x) (sinh.f64 y))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 1 (.f64 (/.f64 x (sin.f64 x)) 4)) (*.f64 (sinh.f64 y) 4))
(.f64 (.f64 4 (sinh.f64 y)) (/.f64 1 (*.f64 4 (/.f64 x (sin.f64 x)))))
(.f64 (.f64 4 (sinh.f64 y)) (/.f64 1/4 (/.f64 x (sin.f64 x))))
(.f64 4 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (*.f64 x 4))))
(.f64 (/.f64 1 (/.f64 (.f64 x 4) (sinh.f64 y))) (*.f64 (sin.f64 x) 4))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 -1 (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 -1 (/.f64 x (sinh.f64 y))) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 x) (/.f64 y x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`rational.json-1`
1806×	`rational.json-2`
1806×	`rational.json-4`
1806×	`rational.json-3`
1798×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	58	17
2	156	17
3	377	17
4	998	17
5	4604	17

Stop Event

1×	node limit

Counts

1 → 141

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (/.f64 x (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 -1 (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y x) (*.f64 (/.f64 1 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y x) (*.f64 1/2 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (*.f64 x (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (+.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (*.f64 (*.f64 x (/.f64 2 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (*.f64 -2 (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 x y) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (/.f64 (/.f64 x y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 (/.f64 x y) (/.f64 2 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 y (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 2) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 x)) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 x)) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 x)) (*.f64 2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 x)) (*.f64 (/.f64 2 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (+.f64 (*.f64 x (/.f64 2 (sin.f64 x))) (*.f64 x (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (/.f64 (*.f64 x 4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (*.f64 4 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (*.f64 (*.f64 x 4) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (*.f64 2 (*.f64 x (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (*.f64 (+.f64 x x) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (*.f64 -4 (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (/.f64 4 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 (/.f64 1 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (/.f64 x (neg.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (neg.f64 (+.f64 x x)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 -1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 x 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (*.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (*.f64 (neg.f64 x) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (*.f64 2 (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (*.f64 y (/.f64 2 x)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (/.f64 y x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (+.f64 (*.f64 (/.f64 x y) 4) (*.f64 (/.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 8 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 y x) 4)) (*.f64 8 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y 8)) (*.f64 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x) (*.f64 y (/.f64 1/2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 y)) (*.f64 (*.f64 2 (*.f64 x -2)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 y)) (*.f64 (*.f64 2 (neg.f64 (+.f64 x x))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 y)) (*.f64 (neg.f64 (*.f64 x 4)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 y)) (*.f64 4 (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y -2)) (*.f64 x (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)) (+.f64 (/.f64 1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (/.f64 y x) 4))) (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (/.f64 y x) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (/.f64 x y)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 8) (/.f64 x (sin.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (/.f64 1 (sin.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y y) (/.f64 1 (sin.f64 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) (/.f64 1 (sin.f64 x))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sin.f64 x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 y) (/.f64 1 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 x y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 2 y)) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 8) (/.f64 1 (sin.f64 x))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y -2) (/.f64 1 (sin.f64 x))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y -2) (/.f64 1 (sin.f64 x))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 y x) 4)) (/.f64 1 (sin.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 y 8)) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (neg.f64 x)) (/.f64 1 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 y)) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 y)) (/.f64 1 (sin.f64 x))) (*.f64 2 (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 y)) (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 y -2)) (/.f64 1 (sin.f64 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y y) (/.f64 2 (sin.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) (/.f64 2 (sin.f64 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 2 y)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 x y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 2 (sin.f64 x))) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y -2) (/.f64 2 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x y) 4) (/.f64 2 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x y) (*.f64 y (/.f64 2 x))) (/.f64 2 (sin.f64 x))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (/.f64 x (neg.f64 (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y y) (/.f64 x (neg.f64 (sin.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) (/.f64 x (neg.f64 (sin.f64 x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 y)) (/.f64 x (neg.f64 (sin.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) 2) x) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (-.f64 0 (*.f64 x (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (-.f64 0 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))))

simplify177.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational.json-simplify-35`
1442×	`rational.json-simplify-2`
798×	`rational.json-simplify-51`
748×	`rational.json-simplify-61`
704×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	3161
1	1367	3149
2	4963	3113
3	7685	3113

Stop Event

1×	node limit

Counts

165 → 168

Calls

Call 1

Inputs
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 y x)))
(-.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 y (*.f64 (/.f64 x (sin.f64 x)) 1))
(/.f64 y (*.f64 -1 (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 y x) (*.f64 (/.f64 1 (sin.f64 x)) 1))
(/.f64 (/.f64 y x) (*.f64 1/2 (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 1))
(/.f64 (+.f64 y y) (*.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (+.f64 y y) (+.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(/.f64 (+.f64 y y) (.f64 (.f64 x (/.f64 2 (sin.f64 x))) 1))
(/.f64 (+.f64 y y) (*.f64 -2 (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 2 (*.f64 (/.f64 x y) (/.f64 2 (sin.f64 x))))
(/.f64 2 (+.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (/.f64 (/.f64 x y) (sin.f64 x))))
(/.f64 2 (.f64 (.f64 (/.f64 x y) (/.f64 2 (sin.f64 x))) 1))
(/.f64 (.f64 (sin.f64 x) (.f64 y (/.f64 2 x))) 2)
(/.f64 (.f64 (sin.f64 x) 2) (.f64 x (/.f64 2 y)))
(/.f64 (*.f64 y (/.f64 2 x)) (/.f64 2 (sin.f64 x)))
(/.f64 (*.f64 y (/.f64 2 x)) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 y (/.f64 2 x)) (.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 y (/.f64 2 x)) (.f64 (/.f64 2 (sin.f64 x)) 1))
(/.f64 (.f64 y 4) (+.f64 (.f64 x (/.f64 2 (sin.f64 x))) (*.f64 x (/.f64 2 (sin.f64 x)))))
(/.f64 (.f64 y 4) (/.f64 (.f64 x 4) (sin.f64 x)))
(/.f64 (.f64 y 4) (.f64 4 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 y 4) (.f64 (*.f64 x 4) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 y 4) (.f64 2 (*.f64 x (/.f64 2 (sin.f64 x)))))
(/.f64 (.f64 y 4) (.f64 (+.f64 x x) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 y 4) (.f64 -4 (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 y 4) (/.f64 4 (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x)))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 y) (/.f64 1 (sin.f64 x))))
(/.f64 (neg.f64 y) (/.f64 x (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 y) (*.f64 (/.f64 x (neg.f64 (sin.f64 x))) 1))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 (+.f64 x x)) (*.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 x y) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 1 (sin.f64 x))))
(/.f64 -1 (/.f64 (/.f64 x (neg.f64 y)) (sin.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 x y)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 x (/.f64 2 y)) (.f64 (.f64 2 (.f64 (/.f64 x y) (/.f64 x y))) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 x (/.f64 2 y)) (.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 2 (sin.f64 x))))
(/.f64 4 (+.f64 (.f64 (/.f64 x y) (/.f64 2 (sin.f64 x))) (.f64 (/.f64 x y) (/.f64 2 (sin.f64 x)))))
(/.f64 4 (/.f64 (*.f64 (/.f64 x y) 4) (sin.f64 x)))
(/.f64 4 (.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (sin.f64 x))))
(/.f64 4 (.f64 (.f64 x (/.f64 2 y)) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 y x) 4)) 4)
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (/.f64 x y) 4))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (*.f64 (/.f64 x y) 4) 1))
(/.f64 (*.f64 (/.f64 y x) 4) (+.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 y x) 4) (/.f64 4 (sin.f64 x)))
(/.f64 (.f64 (/.f64 y x) 4) (.f64 4 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (/.f64 y x) 4) (.f64 2 (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 y 8) (/.f64 (.f64 x 8) (sin.f64 x)))
(/.f64 (.f64 y 8) (.f64 8 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 y 8) (.f64 (*.f64 x 8) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 y 8) (.f64 4 (*.f64 x (/.f64 2 (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))
(/.f64 1/2 (/.f64 (*.f64 x (/.f64 1/2 y)) (sin.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 x y) (*.f64 (sin.f64 x) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1/2 y) (sin.f64 x)))
(/.f64 (*.f64 y -2) (+.f64 (/.f64 x (neg.f64 (sin.f64 x))) (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 y -2) (/.f64 (neg.f64 (+.f64 x x)) (sin.f64 x)))
(/.f64 (.f64 y -2) (/.f64 (.f64 x -2) (sin.f64 x)))
(/.f64 (.f64 y -2) (.f64 (*.f64 x -2) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 y -2) (.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 y -2) (.f64 (neg.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 y -2) (.f64 2 (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (.f64 y (/.f64 2 x)) (*.f64 (sin.f64 x) 2)))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 (/.f64 y x) 4))) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (+.f64 (.f64 (/.f64 x y) 4) (.f64 (/.f64 x y) 4)))
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (*.f64 8 (/.f64 x y)))
(/.f64 (.f64 2 (.f64 (/.f64 y x) 4)) (*.f64 8 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 2 (.f64 y 8)) (.f64 (.f64 2 (*.f64 x 8)) (/.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 1/2 x)) (/.f64 1/2 y))
(/.f64 (.f64 (/.f64 x y) 4) (.f64 (.f64 2 (.f64 (/.f64 x y) (/.f64 x y))) (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 y (neg.f64 x)) (/.f64 -1 (sin.f64 x)))
(/.f64 (/.f64 y (neg.f64 x)) (*.f64 -1 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (/.f64 x y) (.f64 y (/.f64 2 x))) (*.f64 (/.f64 x y) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 y (/.f64 1/2 x)) (/.f64 1 (.f64 (sin.f64 x) 2)))
(/.f64 (.f64 y (/.f64 1/2 x)) (.f64 1/2 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) 1/2) (.f64 x (/.f64 1/2 y)))
(/.f64 (.f64 (sin.f64 x) (.f64 y (/.f64 1/2 x))) 1/2)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (/.f64 x y)) 1))
(/.f64 (neg.f64 (/.f64 y x)) (/.f64 -1 (sin.f64 x)))
(/.f64 (.f64 4 (neg.f64 y)) (.f64 (.f64 2 (.f64 x -2)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 4 (neg.f64 y)) (.f64 (*.f64 2 (neg.f64 (+.f64 x x))) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 4 (neg.f64 y)) (.f64 (neg.f64 (*.f64 x 4)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 4 (neg.f64 y)) (.f64 4 (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 y -2)) (.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)) (+.f64 (/.f64 1 y) (/.f64 1 y)))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 y x) 4))) (.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 y x) 4)))) 16)
(/.f64 (+.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y))))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (/.f64 x y)) 8)
(/.f64 (/.f64 (*.f64 y 8) (/.f64 x (sin.f64 x))) 8)
(/.f64 (/.f64 y (/.f64 1 (sin.f64 x))) x)
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 x y))
(/.f64 (/.f64 (+.f64 y y) (/.f64 1 (sin.f64 x))) (+.f64 x x))
(/.f64 (/.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 x (/.f64 2 y)))
(/.f64 (/.f64 (.f64 y 4) (/.f64 1 (sin.f64 x))) (.f64 x 4))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sin.f64 x))) (/.f64 1 y))
(/.f64 (/.f64 (neg.f64 y) (/.f64 1 (sin.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 x y) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 -1 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 x y)))
(/.f64 (/.f64 (.f64 x (/.f64 2 y)) (/.f64 1 (sin.f64 x))) (.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 x y) 4))
(/.f64 (/.f64 (.f64 y 8) (/.f64 1 (sin.f64 x))) (.f64 x 8))
(/.f64 (/.f64 (.f64 y -2) (/.f64 1 (sin.f64 x))) (.f64 x -2))
(/.f64 (/.f64 (*.f64 y -2) (/.f64 1 (sin.f64 x))) (neg.f64 (+.f64 x x)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 y x) 4)) (/.f64 1 (sin.f64 x))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 y 8)) (/.f64 1 (sin.f64 x))) (.f64 2 (.f64 x 8)))
(/.f64 (/.f64 (/.f64 y (neg.f64 x)) (/.f64 1 (sin.f64 x))) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 y)) (/.f64 1 (sin.f64 x))) (.f64 2 (*.f64 x -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 y)) (/.f64 1 (sin.f64 x))) (.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (/.f64 (.f64 4 (neg.f64 y)) (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 x 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 y -2)) (/.f64 1 (sin.f64 x))) (+.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (*.f64 x (/.f64 1/2 y)))
(/.f64 (/.f64 (+.f64 y y) (/.f64 2 (sin.f64 x))) x)
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (/.f64 x y))
(/.f64 (/.f64 (*.f64 y 4) (/.f64 2 (sin.f64 x))) (+.f64 x x))
(/.f64 (/.f64 (.f64 x (/.f64 2 y)) (/.f64 2 (sin.f64 x))) (.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 x))) (*.f64 x (/.f64 2 y)))
(/.f64 (/.f64 (*.f64 y -2) (/.f64 2 (sin.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 x y) 4) (/.f64 2 (sin.f64 x))) (.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 y (/.f64 2 x))) (/.f64 2 (sin.f64 x))) (/.f64 x y))
(/.f64 (/.f64 y (/.f64 x (neg.f64 (sin.f64 x)))) -1)
(/.f64 (/.f64 (+.f64 y y) (/.f64 x (neg.f64 (sin.f64 x)))) -2)
(/.f64 (/.f64 (*.f64 y 4) (/.f64 x (neg.f64 (sin.f64 x)))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 y)) (/.f64 x (neg.f64 (sin.f64 x)))) 4)
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) x) (/.f64 2 y))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 -1 y))
(/.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 x (/.f64 2 y)))
(/.f64 (neg.f64 (.f64 (sin.f64 x) 2)) (-.f64 0 (.f64 x (/.f64 2 y))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (-.f64 0 (/.f64 1 y)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)

Outputs
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 y (.f64 y (.f64 (pow.f64 x 2) -1/6)))
(+.f64 y (.f64 (pow.f64 x 2) (.f64 y -1/6)))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 y (+.f64 (.f64 y (.f64 (pow.f64 x 2) -1/6)) (.f64 y (.f64 (pow.f64 x 4) 1/120))))
(+.f64 y (+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 2))) (.f64 y (.f64 1/120 (pow.f64 x 4)))))
(+.f64 y (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2)))))
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(+.f64 (.f64 y (.f64 (pow.f64 x 4) 1/120)) (+.f64 (+.f64 y (.f64 y (.f64 (pow.f64 x 2) -1/6))) (.f64 y (.f64 (pow.f64 x 6) -1/5040))))
(+.f64 (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))) (+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (.f64 y (.f64 1/120 (pow.f64 x 4)))))
(+.f64 (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 6) (*.f64 y -1/5040)) y))
(+.f64 (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))) (+.f64 y (.f64 (pow.f64 x 6) (*.f64 y -1/5040))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(-.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (/.f64 x y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 y (*.f64 (/.f64 x (sin.f64 x)) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 y (*.f64 -1 (/.f64 x (neg.f64 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 y x) (*.f64 (/.f64 1 (sin.f64 x)) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 y x) (*.f64 1/2 (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 1 (*.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 y y) (*.f64 x (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 y y) (+.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 y y) (.f64 (.f64 x (/.f64 2 (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 y y) (*.f64 -2 (/.f64 x (neg.f64 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 2 (*.f64 (/.f64 x y) (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 2 (+.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (/.f64 (/.f64 x y) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 2 (.f64 (.f64 (/.f64 x y) (/.f64 2 (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (.f64 (sin.f64 x) (.f64 y (/.f64 2 x))) 2)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 x (/.f64 2 y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (/.f64 2 x)) (/.f64 2 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (/.f64 2 x)) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (.f64 y (/.f64 2 x)) (.f64 2 (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (.f64 y (/.f64 2 x)) (.f64 (/.f64 2 (sin.f64 x)) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (.f64 y 4) (+.f64 (.f64 x (/.f64 2 (sin.f64 x))) (*.f64 x (/.f64 2 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (.f64 y 4) (/.f64 (.f64 x 4) (sin.f64 x)))
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(/.f64 (.f64 x (/.f64 2 y)) (.f64 (/.f64 2 (sin.f64 x)) (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 y (/.f64 x (/.f64 (/.f64 (*.f64 x (/.f64 2 y)) (/.f64 x y)) (/.f64 2 (sin.f64 x)))))
(/.f64 y (/.f64 x (/.f64 (/.f64 (sin.f64 x) (/.f64 (/.f64 2 (/.f64 2 y)) x)) (/.f64 x y))))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 x))) (*.f64 x (/.f64 2 y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (*.f64 y -2) (/.f64 2 (sin.f64 x))) (neg.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (.f64 (/.f64 x y) 4) (/.f64 2 (sin.f64 x))) (.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 (/.f64 (.f64 4 (/.f64 x y)) (/.f64 2 (sin.f64 x))) (.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 (.f64 (/.f64 x y) (/.f64 (sin.f64 x) 1/2)) (.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 x y) (.f64 2 (/.f64 x y)))) (/.f64 1/2 (/.f64 x y)))
(/.f64 (/.f64 (.f64 (/.f64 x y) (.f64 y (/.f64 2 x))) (/.f64 2 (sin.f64 x))) (/.f64 x y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 y (/.f64 x (neg.f64 (sin.f64 x)))) -1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (+.f64 y y) (/.f64 x (neg.f64 (sin.f64 x)))) -2)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (*.f64 y 4) (/.f64 x (neg.f64 (sin.f64 x)))) -4)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (*.f64 4 (neg.f64 y)) (/.f64 x (neg.f64 (sin.f64 x)))) 4)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) x) (/.f64 2 y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 -1 y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 x (/.f64 2 y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) 2)) (-.f64 0 (.f64 x (/.f64 2 y))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (-.f64 0 (/.f64 1 y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))

localize63.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	14.5b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`rational.json-1`
1136×	`rational.json-2`
1136×	`rational.json-4`
1136×	`rational.json-3`
1128×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	86	21
2	203	21
3	441	21
4	1010	21
5	3525	21

Stop Event

1×	node limit

Counts

1 → 83

Calls

Call 1

Inputs
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2)) x) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (/.f64 (*.f64 x -2) (neg.f64 (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 2 (*.f64 4 (/.f64 x (sinh.f64 y)))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (/.f64 x (neg.f64 (sinh.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 (/.f64 (*.f64 x -2) (neg.f64 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 (*.f64 2 (/.f64 (*.f64 x 4) (sin.f64 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 x (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (/.f64 2 (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (*.f64 x (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 2) (*.f64 x (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 2) (/.f64 (*.f64 2 (*.f64 4 (/.f64 x (sinh.f64 y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) 4) x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 x 8) (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (/.f64 x (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2))) (*.f64 x (*.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) 4) x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 4))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) (sinh.f64 y)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2))) (/.f64 x (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2)) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 x (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 (/.f64 x (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 (*.f64 x (/.f64 2 (sinh.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 (*.f64 4 (/.f64 x (sinh.f64 y))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2)) (/.f64 (*.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 1/2) (/.f64 x (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 1/2) (/.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 1/2) (/.f64 (*.f64 x (/.f64 2 (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 1/2) (/.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) 4) x)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) (*.f64 2 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)))) (*.f64 2 (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 4)))) (neg.f64 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (/.f64 x (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 4))) x) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 x 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (*.f64 x (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 4))) (neg.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 x (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) (-.f64 0 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) (neg.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)))) (neg.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 1/2))) (-.f64 0 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 4)))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 4)))) (-.f64 0 (neg.f64 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 (/.f64 2 (sin.f64 x)) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))))) (-.f64 0 (*.f64 2 (neg.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1/2)) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))) (-.f64 0 (*.f64 2 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x))))))

simplify326.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1040×	`rational.json-simplify-2`
896×	`rational.json-simplify-1`
880×	`rational.json-simplify-35`
854×	`rational.json-simplify-50`
714×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	3157
1	979	3085
2	3054	3007
3	5061	3007
4	7366	3007

Stop Event

1×	node limit

Counts

107 → 121

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)) x) (/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)) x))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (sin.f64 x) (/.f64 (/.f64 (*.f64 x -2) (neg.f64 (sinh.f64 y))) 2))
(/.f64 (sin.f64 x) (/.f64 (.f64 2 (.f64 4 (/.f64 x (sinh.f64 y)))) 8))
(/.f64 (sin.f64 x) (/.f64 (/.f64 x (neg.f64 (sinh.f64 y))) -1))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (sinh.f64 y) (/.f64 (/.f64 (*.f64 x -2) (neg.f64 (sin.f64 x))) 2))
(/.f64 (sinh.f64 y) (/.f64 (.f64 2 (/.f64 (.f64 x 4) (sin.f64 x))) 8))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 (.f64 x x) x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(/.f64 2 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2))))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 2 x))) 2)
(/.f64 (/.f64 2 x) (/.f64 (/.f64 2 (sin.f64 x)) (sinh.f64 y)))
(/.f64 4 (/.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) (sinh.f64 y)))
(/.f64 (.f64 (sinh.f64 y) 2) (.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)) (+.f64 x x))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 x (/.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) 2) (/.f64 (.f64 2 (*.f64 4 (/.f64 x (sinh.f64 y)))) 4))
(/.f64 -1 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))
(/.f64 -1 (neg.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (.f64 (sinh.f64 y) (/.f64 (.f64 (sin.f64 x) 4) x)) 4)
(/.f64 8 (.f64 2 (/.f64 (/.f64 (.f64 x 4) (sin.f64 x)) (sinh.f64 y))))
(/.f64 8 (/.f64 (.f64 x 8) (.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 -2 (neg.f64 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)))))
(/.f64 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4)) (*.f64 x 4))
(/.f64 1/2 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 x))
(/.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) (.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2))) (.f64 x (.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) 4) x))) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) (*.f64 x -2))
(/.f64 -4 (-.f64 0 (/.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) (sinh.f64 y))))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4))) (.f64 x 8))
(/.f64 (/.f64 (/.f64 (.f64 x 4) (sin.f64 x)) (sinh.f64 y)) (.f64 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2))) (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)))))
(/.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)) x) 1/2)
(/.f64 (.f64 (sin.f64 x) 1/2) (/.f64 x (.f64 (sinh.f64 y) 2)))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 (/.f64 x (sinh.f64 y)) 2))
(/.f64 (.f64 (sin.f64 x) 1/2) (/.f64 (.f64 x (/.f64 2 (sinh.f64 y))) 4))
(/.f64 (.f64 (sin.f64 x) 1/2) (/.f64 (.f64 4 (/.f64 x (sinh.f64 y))) 8))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)) (*.f64 x 1/2))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)) (/.f64 (*.f64 x x) (+.f64 x x)))
(/.f64 (.f64 (sinh.f64 y) 1/2) (/.f64 x (.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (sinh.f64 y) 1/2) (/.f64 (/.f64 x (sin.f64 x)) 2))
(/.f64 (.f64 (sinh.f64 y) 1/2) (/.f64 (.f64 x (/.f64 2 (sin.f64 x))) 4))
(/.f64 (.f64 (sinh.f64 y) 1/2) (/.f64 (/.f64 (.f64 x 4) (sin.f64 x)) 8))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2))) (*.f64 x -2))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sinh.f64 y) (/.f64 (.f64 (sin.f64 x) 4) x)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) (.f64 2 (*.f64 x -2)))
(/.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)))) (.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4)))) (neg.f64 (.f64 x 8)))
(/.f64 -1/2 (-.f64 0 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)))))
(/.f64 (/.f64 (.f64 2 (.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 4))) x) 8)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1/2) (+.f64 x x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (.f64 x 4)) 1/4)
(/.f64 (neg.f64 (.f64 (sinh.f64 y) 2)) (neg.f64 (.f64 x (/.f64 2 (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4))) (neg.f64 (*.f64 x 4)))
(/.f64 (neg.f64 (.f64 (sin.f64 x) 2)) (neg.f64 (.f64 x (/.f64 2 (sinh.f64 y)))))
(/.f64 (neg.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y)))) (-.f64 0 (.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))))))
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) (neg.f64 (*.f64 x -2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)))) (+.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)))) (neg.f64 (*.f64 x -2)))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2))) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4)))) (*.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4)))) (-.f64 0 (neg.f64 (*.f64 x 4))))
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 (/.f64 2 (sin.f64 x)) (sinh.f64 y))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2))))) (-.f64 0 (.f64 2 (neg.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1/2)) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2))))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))) (-.f64 0 (.f64 2 (*.f64 x -2))))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))) (*.f64 x -2))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x))

Outputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 2) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (pow.f64 x 2))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 1/240 (pow.f64 x 4)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/12 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 6) -1/10080)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/10080 (pow.f64 x 6))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (pow.f64 x 2))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 1/240 (pow.f64 x 4))))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 1/240 (pow.f64 x 4)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/10080 (pow.f64 x 6)) (*.f64 -1/12 (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/10080 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 y 3) x) 1/6)))
(.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x))) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (+.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (pow.f64 y 5) x) 1/120)) (.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 y 3) x) 1/6))))
(+.f64 (.f64 (sin.f64 x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))) (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/120 (/.f64 (pow.f64 y 5) x)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))) (+.f64 (.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x))) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/5040 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x))))))
(+.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (pow.f64 y 3) x) 1/6)) (+.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (pow.f64 y 5) x) 1/120)) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/5040 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x))))))
(+.f64 (.f64 (sin.f64 x) (.f64 1/120 (/.f64 (pow.f64 y 5) x))) (+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/6 (/.f64 (pow.f64 y 3) x)))) (.f64 1/5040 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/120 (/.f64 (pow.f64 y 5) x)))) (+.f64 (.f64 (sin.f64 x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))) (.f64 1/5040 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)) x) (/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sin.f64 x) (/.f64 (/.f64 (*.f64 x -2) (neg.f64 (sinh.f64 y))) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sin.f64 x) (/.f64 (.f64 2 (.f64 4 (/.f64 x (sinh.f64 y)))) 8))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sin.f64 x) (/.f64 (/.f64 x (neg.f64 (sinh.f64 y))) -1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sinh.f64 y) (/.f64 (/.f64 (*.f64 x -2) (neg.f64 (sin.f64 x))) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (sinh.f64 y) (/.f64 (.f64 2 (/.f64 (.f64 x 4) (sin.f64 x))) 8))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 (.f64 x x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 2 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 2 x))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 2 x) (/.f64 (/.f64 2 (sin.f64 x)) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 4 (/.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sinh.f64 y) 2) (.f64 x (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)) (+.f64 x x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 x (/.f64 2 (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) 2) (/.f64 (.f64 2 (*.f64 4 (/.f64 x (sinh.f64 y)))) 4))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 -1 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 -1 (neg.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sinh.f64 y) (/.f64 (.f64 (sin.f64 x) 4) x)) 4)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 8 (.f64 2 (/.f64 (/.f64 (.f64 x 4) (sin.f64 x)) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 8 (/.f64 (.f64 x 8) (.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 -2 (neg.f64 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4)) (*.f64 x 4))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 1/2 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) (.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2))) (.f64 x (.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))
(/.f64 (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (.f64 1/2 (sinh.f64 y))) x) (.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 2 (.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) 1/2) (.f64 (/.f64 2 (.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (.f64 x x) (*.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 x (.f64 (/.f64 (.f64 x x) (.f64 (sin.f64 x) (sinh.f64 y))) (.f64 (/.f64 2 (.f64 (sin.f64 x) (sinh.f64 y))) (.f64 1/2 (*.f64 (sin.f64 x) (sinh.f64 y))))))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) 4) x))) 8)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) (*.f64 x -2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 -4 (-.f64 0 (/.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4))) (.f64 x 8))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (/.f64 (.f64 x 4) (sin.f64 x)) (sinh.f64 y)) (.f64 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2))) (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)))))
(/.f64 (.f64 4 (/.f64 x (sin.f64 x))) (.f64 (sinh.f64 y) (.f64 (/.f64 (/.f64 x (sin.f64 x)) (.f64 1/2 (sinh.f64 y))) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 1/2 (sinh.f64 y))))))
(/.f64 (.f64 x 4) (.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (.f64 (/.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) 1/2) (/.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) 1/2))))
(/.f64 (.f64 4 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y)))) (.f64 (/.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) 1/2) (/.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) 1/2)))
(/.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)) x) 1/2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) 1/2) (/.f64 x (.f64 (sinh.f64 y) 2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 (/.f64 x (sinh.f64 y)) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) 1/2) (/.f64 (.f64 x (/.f64 2 (sinh.f64 y))) 4))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) 1/2) (/.f64 (.f64 4 (/.f64 x (sinh.f64 y))) 8))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)) (*.f64 x 1/2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2)) (/.f64 (*.f64 x x) (+.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sinh.f64 y) 1/2) (/.f64 x (.f64 (sin.f64 x) 2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sinh.f64 y) 1/2) (/.f64 (/.f64 x (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sinh.f64 y) 1/2) (/.f64 (.f64 x (/.f64 2 (sin.f64 x))) 4))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 (sinh.f64 y) 1/2) (/.f64 (/.f64 (.f64 x 4) (sin.f64 x)) 8))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2))) (*.f64 x -2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2))) (neg.f64 (+.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 2 (.f64 2 (.f64 (sinh.f64 y) (/.f64 (.f64 (sin.f64 x) 4) x)))) 16)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) (.f64 2 (*.f64 x -2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)))) (.f64 2 (neg.f64 (+.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4)))) (neg.f64 (.f64 x 8)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 -1/2 (-.f64 0 (/.f64 x (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 2 (.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 4))) x) 8)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1/2) (+.f64 x x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (.f64 x 4)) 1/4)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) 2)) (neg.f64 (.f64 x (/.f64 2 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4))) (neg.f64 (*.f64 x 4)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) 2)) (neg.f64 (.f64 x (/.f64 2 (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y)))) (-.f64 0 (.f64 (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (.f64 (sin.f64 x) (sinh.f64 y))))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) (neg.f64 (*.f64 x -2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)))) (+.f64 x x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2)))) (neg.f64 (*.f64 x -2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 1/2))) (-.f64 0 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4)))) (*.f64 x 4))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 (sin.f64 x) 4)))) (-.f64 0 (neg.f64 (*.f64 x 4))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 (/.f64 2 (sin.f64 x)) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2))))) (-.f64 0 (.f64 2 (neg.f64 (+.f64 x x)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1/2)) (neg.f64 (+.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 (sinh.f64 y) 2))))) (neg.f64 (+.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))) (-.f64 0 (.f64 2 (*.f64 x -2))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))) (*.f64 x -2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(/.f64 1 (sin.f64 x))
✓	0.2b	(/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))
✓	14.5b	(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)

Compiler

Compiled 29 to 14 computations (51.7% saved)

series176.0ms (1.1%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
174.0ms	x	@	-inf	(/.f64 1 (sin.f64 x))
0.0ms	x	@	0	(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)
0.0ms	x	@	inf	(/.f64 1 (sin.f64 x))
0.0ms	y	@	0	(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)
0.0ms	x	@	0	(/.f64 1 (sin.f64 x))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`exponential.json-3`
1464×	`rational.json-1`
1464×	`rational.json-2`
1464×	`rational.json-4`
1464×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	94	53
2	300	47
3	1067	47
4	4366	47

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)
(/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 x (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (/.f64 (+.f64 x x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sinh.f64 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 (*.f64 x 4) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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simplify373.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1364×	`rational.json-simplify-44`
1234×	`rational.json-simplify-47`
1062×	`rational.json-simplify-43`
1048×	`rational.json-simplify-35`
1030×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	5578
1	776	5410
2	1866	5206
3	6988	5206

Stop Event

1×	node limit

Counts

208 → 244

Calls

Call 1

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

Outputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/6 (*.f64 (pow.f64 y 3) (/.f64 (sin.f64 x) x))))
(.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)))))
(+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (/.f64 (sin.f64 x) x))) (.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 y 5) x) 1/120))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (/.f64 (sin.f64 x) x) 1/6)) (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/120 (/.f64 (pow.f64 y 5) x)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x))) (+.f64 (.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x))) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/5040 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (/.f64 (sin.f64 x) x))) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (+.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (pow.f64 y 7) x) 1/5040)) (.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 y 5) x) 1/120)))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x))) (+.f64 (.f64 (pow.f64 y 3) (.f64 (/.f64 (sin.f64 x) x) 1/6)) (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/5040 (/.f64 (pow.f64 y 7) x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 2) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/240 (pow.f64 x 4))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/12 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 4) 1/240)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/10080)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/10080 (pow.f64 x 6))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/240 (pow.f64 x 4))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2))))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/10080 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 1/240 (pow.f64 x 4)) (*.f64 -1/10080 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) 1/2))
(*.f64 y (sin.f64 x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(+.f64 (.f64 y (sin.f64 x)) (.f64 (pow.f64 y 3) (*.f64 (sin.f64 x) 1/6)))
(+.f64 (.f64 y (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) 1/6)))
(.f64 (sin.f64 x) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 x))) (*.f64 y (sin.f64 x))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) 1/6)) (+.f64 (.f64 y (sin.f64 x)) (.f64 (pow.f64 y 5) (*.f64 (sin.f64 x) 1/120))))
(+.f64 (.f64 y (sin.f64 x)) (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 y 5) 1/120)) (.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) 1/6))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) 1/6)) (.f64 (sin.f64 x) (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x)))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) 1/6)) (+.f64 (.f64 (pow.f64 y 5) (.f64 (sin.f64 x) 1/120)) (+.f64 (.f64 y (sin.f64 x)) (.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 7))))))
(+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 y 3) 1/6)) (+.f64 (.f64 y (sin.f64 x)) (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 y 7) 1/5040)) (.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) 1/120)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) (+.f64 (.f64 (sin.f64 x) (.f64 1/5040 (pow.f64 y 7))) (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) 1/6))))
(+.f64 (.f64 (sin.f64 x) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) (+.f64 (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) 1/6)) (.f64 (sin.f64 x) (.f64 1/5040 (pow.f64 y 7)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (sin.f64 x) (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (sin.f64 x) 1/2))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (sin.f64 x) (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (sin.f64 x) 1/2))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (sin.f64 x) (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (sin.f64 x) 1/2))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (sin.f64 x) (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (sin.f64 x) 1/2))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (sin.f64 x) (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (sin.f64 x) 1/2))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (sin.f64 x) (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (sin.f64 x) 1/2))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (sin.f64 x) (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (sin.f64 x) 1/2))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (sin.f64 x) (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (sin.f64 x) 1/2))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 x (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 1/2 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 3) -1/12)))
(+.f64 (.f64 x (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (pow.f64 x 3))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (*.f64 x 1/2)))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 3) -1/12)) (+.f64 (.f64 1/2 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 5) 1/240))))
(+.f64 (.f64 x (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/240 (pow.f64 x 5))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (pow.f64 x 3)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 1/240 (pow.f64 x 5))))
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(.f64 (sinh.f64 y) (.f64 (*.f64 (sin.f64 x) 4) (/.f64 1/4 x)))
(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (*.f64 4 (/.f64 1/4 x))))
(.f64 (/.f64 (sin.f64 x) (.f64 x (/.f64 2 (sinh.f64 y)))) 2)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (+.f64 x x) (sin.f64 x))) 2)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))) (sin.f64 x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2) 2)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 1 (.f64 2 (.f64 x (/.f64 2 (sinh.f64 y))))) (.f64 (sin.f64 x) 4))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 x (/.f64 2 (sinh.f64 y)))))
(.f64 4 (.f64 (/.f64 (/.f64 (sinh.f64 y) 4) x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 (sinh.f64 y) (*.f64 x 4))))
(.f64 (/.f64 1 (/.f64 (.f64 x 4) (sinh.f64 y))) (*.f64 (sin.f64 x) 4))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 x (/.f64 2 (sinh.f64 y)))))
(.f64 4 (.f64 (/.f64 (/.f64 (sinh.f64 y) 4) x) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 (sinh.f64 y) (*.f64 x 4))))
(.f64 (/.f64 2 (/.f64 (.f64 x 4) (sinh.f64 y))) (*.f64 (sin.f64 x) 2))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 x)) (.f64 x 4))) (.f64 (sinh.f64 y) 4))
(.f64 (.f64 (sin.f64 x) (.f64 4 (sinh.f64 y))) (/.f64 1 (.f64 x 4)))
(.f64 (sinh.f64 y) (.f64 (*.f64 (sin.f64 x) 4) (/.f64 1/4 x)))
(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (*.f64 4 (/.f64 1/4 x))))
(.f64 (/.f64 1 (.f64 x (/.f64 -1 (sin.f64 x)))) (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 1 (/.f64 x (neg.f64 (sin.f64 x)))) (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 x (sin.f64 x))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 x (/.f64 -1 (sin.f64 x)))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 x (neg.f64 (sin.f64 x)))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 -1 (sin.f64 x))))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(+.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sinh.f64 y))
(+.f64 0 (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x)))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(-.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sinh.f64 y))
(-.f64 0 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (sinh.f64 y) (sin.f64 x))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 1 (.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 2 (/.f64 (sin.f64 x) (/.f64 2 (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 2 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (sinh.f64 y) 1/2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 4 (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) 1/2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2)) 1/2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 4)) 1/4)
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 2 (/.f64 2 (sinh.f64 y)))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (/.f64 2 (sinh.f64 y))))
(.f64 4 (.f64 (/.f64 (sinh.f64 y) 4) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 (sinh.f64 y) 4)))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (/.f64 4 (sinh.f64 y))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (/.f64 2 (sinh.f64 y))))
(.f64 4 (.f64 (/.f64 (sinh.f64 y) 4) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 (sinh.f64 y) 4)))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)))
(.f64 (.f64 4 (sinh.f64 y)) (/.f64 1 (*.f64 4 (/.f64 1 (sin.f64 x)))))
(.f64 4 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) 4)))
(*.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (/.f64 -1 (sin.f64 x))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) -1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 -1 (.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 1/2 (.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (/.f64 (sin.f64 x) 2) (.f64 (sinh.f64 y) 2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) 1/2) (*.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (.f64 (sin.f64 x) 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x))) 2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 1/4 (.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 4)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) (/.f64 2 (sinh.f64 y))) 2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) 2) 2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (/.f64 1 (/.f64 (sin.f64 x) (sinh.f64 y))) (.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sinh.f64 y))) (sin.f64 x))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (/.f64 1 (.f64 2 (/.f64 2 (sinh.f64 y)))) (*.f64 (sin.f64 x) 4))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (/.f64 2 (sinh.f64 y))))
(.f64 4 (.f64 (/.f64 (sinh.f64 y) 4) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 (sinh.f64 y) 4)))
(.f64 (/.f64 1 (/.f64 4 (sinh.f64 y))) (.f64 (sin.f64 x) 4))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (/.f64 2 (sinh.f64 y))))
(.f64 4 (.f64 (/.f64 (sinh.f64 y) 4) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 (sinh.f64 y) 4)))
(.f64 (/.f64 2 (/.f64 4 (sinh.f64 y))) (.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 x)) 4)) (*.f64 (sinh.f64 y) 4))
(.f64 (.f64 4 (sinh.f64 y)) (/.f64 1 (*.f64 4 (/.f64 1 (sin.f64 x)))))
(.f64 4 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(neg.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(+.f64 0 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(-.f64 0 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))
(/.f64 1 (sin.f64 x))
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) 2))
(/.f64 1 (sin.f64 x))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 2 (sin.f64 x)) 1/2)
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 4) 1/4)
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) -1)
(/.f64 1 (sin.f64 x))
(*.f64 -1 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) 2) (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(.f64 1/4 (.f64 (/.f64 1 (sin.f64 x)) 4))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))) (.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) 2)
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 2) 2)
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(neg.f64 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (sin.f64 x))

eval676.0ms (4.4%)

Compiler: Compiled 13137 to 6691 computations (49.1% saved)

prune398.0ms (2.6%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	872	9	881
Fresh	1	2	3
Picked	1	0	1
Done	1	4	5
Total	875	15	890

Error

Counts

890 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.4b	(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) x)
▶	30.2b	(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
	39.3b	(/.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 x y) (.f64 2 (/.f64 x y)))) (/.f64 1/2 (/.f64 x y)))
	15.8b	(/.f64 (/.f64 y (/.f64 1 (sin.f64 x))) x)
▶	1.5b	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
✓	14.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	15.7b	(/.f64 (*.f64 (sin.f64 x) y) x)
	43.9b	(/.f64 (.f64 x (/.f64 2 y)) (.f64 (.f64 2 (/.f64 x y)) (/.f64 x (.f64 y (sin.f64 x)))))
▶	1.4b	(/.f64 y (/.f64 x (sin.f64 x)))
	2.1b	(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 (sin.f64 x) x)))
✓	14.5b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
✓	30.0b	(*.f64 (sinh.f64 y) 1)
✓	1.4b	(*.f64 (sin.f64 x) (/.f64 y x))
▶	1.3b	(*.f64 y (/.f64 (sin.f64 x) x))
	30.6b	y

Compiler

Compiled 277 to 184 computations (33.6% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (/.f64 (sin.f64 x) x))
	0.1b	(/.f64 (sin.f64 x) x)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`rational.json-1`
1808×	`rational.json-2`
1808×	`rational.json-4`
1808×	`rational.json-3`
1800×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	58	17
2	156	17
3	382	17
4	1020	17
5	4527	17

Stop Event

1×	node limit

Counts

1 → 143

Calls

Call 1

Inputs
(*.f64 y (/.f64 (sin.f64 x) x))

Outputs

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

simplify301.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1612×	`rational.json-simplify-35`
1454×	`rational.json-simplify-2`
868×	`rational.json-simplify-51`
740×	`rational.json-simplify-61`
700×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	3415
1	1417	3367
2	5089	3343
3	7679	3343

Stop Event

1×	node limit

Counts

167 → 174

Calls

Call 1

Inputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 0)
(+.f64 0 (*.f64 y (/.f64 (sin.f64 x) x)))
(-.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 0)
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (sin.f64 x) (*.f64 (/.f64 x y) 1))
(/.f64 (sin.f64 x) (*.f64 -1 (/.f64 (neg.f64 x) y)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 1 y) 1))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 1/2 (/.f64 2 y)))
(/.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 1))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 x (/.f64 2 y)))
(/.f64 (*.f64 (sin.f64 x) 2) (+.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (*.f64 x (/.f64 2 y)) 1))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 -2 (/.f64 (neg.f64 x) y)))
(/.f64 2 (/.f64 (*.f64 x (/.f64 2 y)) (sin.f64 x)))
(/.f64 2 (+.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (/.f64 (/.f64 x y) (sin.f64 x))))
(/.f64 2 (.f64 (/.f64 (.f64 x (/.f64 2 y)) (sin.f64 x)) 1))
(/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 2 x) y)) 2)
(/.f64 (+.f64 y y) (*.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 x)) (/.f64 2 y))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 x)) (+.f64 (/.f64 1 y) (/.f64 1 y)))
(/.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (.f64 2 (/.f64 1 y)))
(/.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (.f64 (/.f64 2 y) 1))
(/.f64 (.f64 (sin.f64 x) 4) (+.f64 (.f64 x (/.f64 2 y)) (*.f64 x (/.f64 2 y))))
(/.f64 (.f64 (sin.f64 x) 4) (/.f64 (.f64 x 4) y))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 4 (/.f64 x y)))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (*.f64 x 4) (/.f64 1 y)))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 2 (*.f64 x (/.f64 2 y))))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (+.f64 x x) (/.f64 2 y)))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 -4 (/.f64 (neg.f64 x) y)))
(/.f64 (*.f64 (sin.f64 x) 4) (/.f64 4 (/.f64 y x)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sin.f64 x)) y))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 y)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (neg.f64 x) y) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (+.f64 x x)) (+.f64 y y)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 y x)))
(/.f64 (/.f64 x (sin.f64 x)) (.f64 (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))) (/.f64 1 y)))
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 x (sin.f64 x))) (/.f64 1 y)))
(/.f64 (.f64 x (/.f64 2 (sin.f64 x))) (.f64 (.f64 2 (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))) (/.f64 1 y)))
(/.f64 (.f64 x (/.f64 2 (sin.f64 x))) (.f64 (*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))) (/.f64 2 y)))
(/.f64 4 (+.f64 (/.f64 (.f64 x (/.f64 2 y)) (sin.f64 x)) (/.f64 (.f64 x (/.f64 2 y)) (sin.f64 x))))
(/.f64 4 (/.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) y))
(/.f64 4 (.f64 (/.f64 (.f64 x 4) (sin.f64 x)) (/.f64 1 y)))
(/.f64 4 (.f64 (.f64 x (/.f64 2 (sin.f64 x))) (/.f64 2 y)))
(/.f64 (.f64 y 4) (/.f64 (.f64 x 4) (sin.f64 x)))
(/.f64 (.f64 y 4) (.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) 1))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (.f64 y 4)) 4)
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) 4) (+.f64 (/.f64 2 y) (/.f64 2 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) 4) (/.f64 4 y))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) 4) (.f64 4 (/.f64 1 y)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) 4) (.f64 2 (/.f64 2 y)))
(/.f64 (.f64 (sin.f64 x) 8) (/.f64 (.f64 x 8) y))
(/.f64 (.f64 (sin.f64 x) 8) (.f64 8 (/.f64 x y)))
(/.f64 (.f64 (sin.f64 x) 8) (.f64 (*.f64 x 8) (/.f64 1 y)))
(/.f64 (.f64 (sin.f64 x) 8) (.f64 4 (*.f64 x (/.f64 2 y))))
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
(/.f64 1/2 (/.f64 (*.f64 x (/.f64 1/2 (sin.f64 x))) y))
(/.f64 1/2 (/.f64 (/.f64 x (sin.f64 x)) (+.f64 y y)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 y x)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1/2 (sin.f64 x)) y))
(/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)))
(/.f64 (*.f64 (sin.f64 x) -2) (/.f64 (neg.f64 (+.f64 x x)) y))
(/.f64 (.f64 (sin.f64 x) -2) (/.f64 (.f64 x -2) y))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (*.f64 x -2) (/.f64 1 y)))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (neg.f64 (+.f64 x x)) (/.f64 1 y)))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (neg.f64 x) (/.f64 2 y)))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 2 (/.f64 (neg.f64 x) y)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (+.f64 y y)))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) x) (*.f64 y 4))) 8)
(/.f64 (.f64 2 (.f64 y 4)) (+.f64 (/.f64 (.f64 x 4) (sin.f64 x)) (/.f64 (.f64 x 4) (sin.f64 x))))
(/.f64 (.f64 2 (.f64 y 4)) (*.f64 8 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) x) 4)) (*.f64 8 (/.f64 1 y)))
(/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) (.f64 (.f64 2 (*.f64 x 8)) (/.f64 1 y)))
(/.f64 (/.f64 y (+.f64 x x)) (/.f64 1/2 (sin.f64 x)))
(/.f64 (/.f64 (.f64 x 4) (sin.f64 x)) (.f64 (.f64 2 (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))) (/.f64 2 y)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 -1 y))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (*.f64 -1 (/.f64 1 y)))
(/.f64 (.f64 (/.f64 x (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 2 x))) (/.f64 (*.f64 x (/.f64 2 y)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 1/2 x)) (/.f64 1 (+.f64 y y)))
(/.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (.f64 1/2 (/.f64 1 y)))
(/.f64 (.f64 y 1/2) (.f64 x (/.f64 1/2 (sin.f64 x))))
(/.f64 (.f64 y (.f64 (sin.f64 x) (/.f64 1/2 x))) 1/2)
(/.f64 (neg.f64 y) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 x (sin.f64 x))) 1))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 -1 y))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (.f64 2 (.f64 x -2)) (/.f64 1 y)))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (*.f64 2 (neg.f64 (+.f64 x x))) (/.f64 1 y)))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (neg.f64 (*.f64 x 4)) (/.f64 1 y)))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 4 (/.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (.f64 (sin.f64 x) -2)) (.f64 x (/.f64 2 y)))
(/.f64 (+.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) x) (.f64 y 4))) (.f64 2 (.f64 (/.f64 (sin.f64 x) x) (.f64 y 4)))) 16)
(/.f64 (+.f64 (neg.f64 y) (neg.f64 y)) (+.f64 (neg.f64 (/.f64 x (sin.f64 x))) (neg.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (.f64 2 (.f64 y 4)) (/.f64 x (sin.f64 x))) 8)
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x y)) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 8) (/.f64 x y)) 8)
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x)
(/.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 y)) (+.f64 x x))
(/.f64 (/.f64 2 (/.f64 1 y)) (*.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 x) 4) (/.f64 1 y)) (.f64 x 4))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 y)) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 y)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 y)) (*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 -1 (/.f64 1 y)) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (.f64 x (/.f64 2 (sin.f64 x))) (/.f64 1 y)) (.f64 2 (*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 4 (/.f64 1 y)) (/.f64 (*.f64 x 4) (sin.f64 x)))
(/.f64 (/.f64 (.f64 (sin.f64 x) 8) (/.f64 1 y)) (.f64 x 8))
(/.f64 (/.f64 (.f64 (sin.f64 x) -2) (/.f64 1 y)) (.f64 x -2))
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 y)) (neg.f64 (+.f64 x x)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) x) 4)) (/.f64 1 y)) 8)
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) (/.f64 1 y)) (.f64 2 (.f64 x 8)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 1 y)) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 y)) (.f64 2 (*.f64 x -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 y)) (.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 y)) (neg.f64 (.f64 x 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (/.f64 1 y)) (+.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 y)) (*.f64 x (/.f64 1/2 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 y)) x)
(/.f64 (/.f64 2 (/.f64 2 y)) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 2 y)) (+.f64 x x))
(/.f64 (/.f64 (.f64 x (/.f64 2 (sin.f64 x))) (/.f64 2 y)) (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 4 (/.f64 2 y)) (*.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 2 y)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 x 4) (sin.f64 x)) (/.f64 2 y)) (.f64 2 (*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 (.f64 (/.f64 x (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 2 x))) (/.f64 2 y)) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y)) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 (neg.f64 x) y)) -2)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 (neg.f64 x) y)) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 x) y)) 4)
(/.f64 (/.f64 y (/.f64 1 (sin.f64 x))) x)
(/.f64 (/.f64 (+.f64 y y) x) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 y (neg.f64 x)) (/.f64 -1 (sin.f64 x)))
(/.f64 (/.f64 y 1/2) (*.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 y y)) (-.f64 0 (*.f64 x (/.f64 2 (sin.f64 x)))))
(/.f64 (neg.f64 (/.f64 y x)) (-.f64 0 (/.f64 1 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 x (sin.f64 x)))
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)

Outputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 y (.f64 y (.f64 (pow.f64 x 2) -1/6)))
(+.f64 y (.f64 y (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 y (+.f64 (.f64 y (.f64 (pow.f64 x 2) -1/6)) (.f64 y (.f64 (pow.f64 x 4) 1/120))))
(+.f64 (.f64 y (.f64 -1/6 (pow.f64 x 2))) (+.f64 (.f64 y (.f64 1/120 (pow.f64 x 4))) y))
(+.f64 y (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2)))))
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(+.f64 (.f64 y (.f64 (pow.f64 x 4) 1/120)) (+.f64 (+.f64 y (.f64 y (.f64 (pow.f64 x 2) -1/6))) (.f64 y (.f64 (pow.f64 x 6) -1/5040))))
(+.f64 (+.f64 y (.f64 y (.f64 -1/6 (pow.f64 x 2)))) (+.f64 (.f64 y (.f64 -1/5040 (pow.f64 x 6))) (.f64 y (.f64 1/120 (pow.f64 x 4)))))
(+.f64 (+.f64 y (.f64 y (.f64 -1/6 (pow.f64 x 2)))) (.f64 y (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(+.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 0)
(*.f64 (sin.f64 x) (/.f64 y x))
(+.f64 0 (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(-.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 0)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (sin.f64 x) (/.f64 x y))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 x y) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (sin.f64 x) (*.f64 -1 (/.f64 (neg.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 1 y) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 1/2 (/.f64 2 y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 1 (*.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 x (/.f64 2 y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 x) 2) (+.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (*.f64 x (/.f64 2 y)) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 -2 (/.f64 (neg.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 2 (/.f64 (*.f64 x (/.f64 2 y)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 2 (+.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (/.f64 (/.f64 x y) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 2 (.f64 (/.f64 (.f64 x (/.f64 2 y)) (sin.f64 x)) 1))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 2 x) y)) 2)
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(/.f64 (.f64 (/.f64 x (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 y x))) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (.f64 (/.f64 x (sin.f64 x)) (.f64 (sin.f64 x) (/.f64 y x)))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y)) -1)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 (neg.f64 x) y)) -2)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 (neg.f64 x) y)) -4)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 x) y)) 4)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 y (/.f64 1 (sin.f64 x))) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 (+.f64 y y) x) (/.f64 2 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 y (neg.f64 x)) (/.f64 -1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (/.f64 y 1/2) (*.f64 x (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (neg.f64 (+.f64 y y)) (-.f64 0 (*.f64 x (/.f64 2 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (neg.f64 (/.f64 y x)) (-.f64 0 (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)
(*.f64 (sin.f64 x) (/.f64 y x))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (/.f64 x (sin.f64 x)))
	0.1b	(/.f64 x (sin.f64 x))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`rational.json-1`
1692×	`rational.json-2`
1692×	`rational.json-4`
1692×	`rational.json-3`
1668×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	62	17
2	202	17
3	627	17
4	2271	17
5	6016	17

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(/.f64 y (/.f64 x (sin.f64 x)))

Outputs

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

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational.json-simplify-35`
1068×	`rational.json-simplify-53`
790×	`rational.json-simplify-43`
768×	`rational.json-simplify-55`
754×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1287
1	255	1287
2	552	1275
3	1673	1269
4	4616	1269
5	7310	1269

Stop Event

1×	node limit

Counts

71 → 61

Calls

Call 1

Inputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 y x)))
(+.f64 (/.f64 y (.f64 (/.f64 x (sin.f64 x)) 2)) (/.f64 y (.f64 (/.f64 x (sin.f64 x)) 2)))
(-.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (sin.f64 x) (/.f64 y x)) 1)
(.f64 1 (.f64 (sin.f64 x) (/.f64 y x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 y (+.f64 x x)))
(*.f64 (+.f64 y y) (/.f64 (/.f64 (sin.f64 x) x) 2))
(.f64 (+.f64 y y) (.f64 (/.f64 (sin.f64 x) x) 1/2))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (+.f64 x x)) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (/.f64 x (sin.f64 x)) 2)))
(.f64 2 (/.f64 (sin.f64 x) (.f64 x (/.f64 2 y))))
(.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 y x)) 2))
(.f64 2 (.f64 (/.f64 y (+.f64 x x)) (sin.f64 x)))
(.f64 2 (.f64 (/.f64 (/.f64 (sin.f64 x) x) 2) y))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (+.f64 y y))) 1/2)
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) 4)))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 x y) 4)))
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 x (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 x y)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 y x) (/.f64 1 (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 2 (/.f64 2 y)))
(*.f64 -1 (/.f64 (neg.f64 y) (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (+.f64 y y))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 y y))
(.f64 (/.f64 y (+.f64 x x)) (.f64 (sin.f64 x) 2))
(.f64 (.f64 (/.f64 (sin.f64 x) x) 1/2) (+.f64 y y))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 y x))
(*.f64 (/.f64 2 (/.f64 2 y)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (neg.f64 y) (/.f64 x (sin.f64 x))) -1)
(*.f64 (/.f64 y (/.f64 1 (sin.f64 x))) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) (/.f64 1 x))
(.f64 (/.f64 y (.f64 (/.f64 x (sin.f64 x)) 2)) 2)
(.f64 (/.f64 (sin.f64 x) (.f64 x (/.f64 2 y))) 2)
(.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 y x)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 x (sin.f64 x)) 4)) (*.f64 y 4))
(.f64 (/.f64 1 (.f64 (/.f64 x y) 4)) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 -1 (/.f64 x (sin.f64 x))) (neg.f64 y))
(*.f64 (/.f64 -1 (/.f64 x y)) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(neg.f64 (/.f64 (neg.f64 y) (/.f64 x (sin.f64 x))))

Outputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 y (.f64 y (.f64 (pow.f64 x 2) -1/6)))
(+.f64 y (.f64 y (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 y (.f64 y (.f64 (pow.f64 x 2) -1/6))) (.f64 y (.f64 (pow.f64 x 4) 1/120)))
(+.f64 y (+.f64 (.f64 y (.f64 -1/6 (pow.f64 x 2))) (.f64 y (.f64 1/120 (pow.f64 x 4)))))
(+.f64 y (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2)))))
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(+.f64 (.f64 y (.f64 (pow.f64 x 4) 1/120)) (+.f64 (+.f64 y (.f64 y (.f64 (pow.f64 x 2) -1/6))) (.f64 y (.f64 (pow.f64 x 6) -1/5040))))
(+.f64 y (+.f64 (+.f64 (.f64 y (.f64 -1/6 (pow.f64 x 2))) (.f64 y (.f64 1/120 (pow.f64 x 4)))) (.f64 -1/5040 (.f64 y (pow.f64 x 6)))))
(+.f64 (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))) (+.f64 (.f64 y (*.f64 -1/5040 (pow.f64 x 6))) y))
(+.f64 y (.f64 y (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (+.f64 (.f64 1/120 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 y (.f64 (/.f64 x (sin.f64 x)) 2)) (/.f64 y (.f64 (/.f64 x (sin.f64 x)) 2)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(-.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 1 (.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 y (+.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (+.f64 y y) (/.f64 (/.f64 (sin.f64 x) x) 2))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (+.f64 y y) (.f64 (/.f64 (sin.f64 x) x) 1/2))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (+.f64 x x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 2 (/.f64 y (.f64 (/.f64 x (sin.f64 x)) 2)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 2 (/.f64 (sin.f64 x) (.f64 x (/.f64 2 y))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 y x)) 2))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 2 (.f64 (/.f64 y (+.f64 x x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 2 (.f64 (/.f64 (/.f64 (sin.f64 x) x) 2) y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (+.f64 y y))) 1/2)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) 4)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 x y) 4)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 x y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (/.f64 1 (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 2 (/.f64 2 y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 -1 (/.f64 (neg.f64 y) (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (+.f64 y y))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 y y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (/.f64 y (+.f64 x x)) (.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (.f64 (/.f64 (sin.f64 x) x) 1/2) (+.f64 y y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 y x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 2 (/.f64 2 y)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (neg.f64 y) (/.f64 x (sin.f64 x))) -1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y (/.f64 1 (sin.f64 x))) (/.f64 1 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) (/.f64 1 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (/.f64 y (.f64 (/.f64 x (sin.f64 x)) 2)) 2)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (sin.f64 x) (.f64 x (/.f64 2 y))) 2)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 y x)) 2) 2)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (/.f64 1 (.f64 (/.f64 x (sin.f64 x)) 4)) (*.f64 y 4))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (/.f64 1 (.f64 (/.f64 x y) 4)) (*.f64 (sin.f64 x) 4))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 -1 (/.f64 x (sin.f64 x))) (neg.f64 y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 -1 (/.f64 x y)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 x (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (sin.f64 x))
✓	0.2b	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`exponential.json-3`
1546×	`rational.json-1`
1546×	`rational.json-2`
1546×	`rational.json-4`
1546×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	88	17
2	287	17
3	986	17
4	4381	17

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

Inputs
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))

Outputs

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

simplify124.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1052×	`rational.json-simplify-1`
996×	`rational.json-simplify-2`
820×	`rational.json-simplify-46`
802×	`rational.json-simplify-35`
658×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	187	2106
1	432	2070
2	1086	2034
3	2982	2028
4	5038	2028
5	7710	2028

Stop Event

1×	node limit

Counts

110 → 112

Calls

Call 1

Inputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (/.f64 y x) (sin.f64 x)))
(-.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 0)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(.f64 1 (.f64 (/.f64 y x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 x y))))
(.f64 (.f64 (/.f64 y x) (sin.f64 x)) 1)
(*.f64 (+.f64 y y) (/.f64 (sin.f64 x) (+.f64 x x)))
(.f64 (+.f64 y y) (.f64 (sin.f64 x) (/.f64 1/2 x)))
(.f64 (+.f64 y y) (.f64 (/.f64 1 x) (/.f64 (sin.f64 x) 2)))
(.f64 (+.f64 y y) (.f64 (/.f64 (sin.f64 x) x) 1/2))
(*.f64 2 (/.f64 (/.f64 y x) (/.f64 2 (sin.f64 x))))
(.f64 2 (/.f64 y (.f64 x (/.f64 2 (sin.f64 x)))))
(.f64 2 (/.f64 (sin.f64 x) (.f64 2 (/.f64 x y))))
(.f64 2 (/.f64 (.f64 (/.f64 y x) (sin.f64 x)) 2))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 y (+.f64 x x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 x (/.f64 y 4))))
(.f64 (.f64 y (/.f64 2 x)) (/.f64 (sin.f64 x) 2))
(.f64 (.f64 y (/.f64 2 x)) (*.f64 (sin.f64 x) 1/2))
(.f64 (.f64 y (sin.f64 x)) (/.f64 1 x))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 x y))))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (+.f64 x x) (/.f64 2 (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 2 (.f64 2 (/.f64 x y)))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (/.f64 x (/.f64 y 4))))
(.f64 (.f64 y (*.f64 (sin.f64 x) (/.f64 2 x))) 1/2)
(.f64 (.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)))
(.f64 (.f64 y (*.f64 (sin.f64 x) 2)) (/.f64 1/2 x))
(.f64 (/.f64 1 x) (.f64 y (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) y)
(.f64 (neg.f64 y) (/.f64 1 (.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))))
(.f64 (neg.f64 y) (/.f64 1 (.f64 x (/.f64 -1 (sin.f64 x)))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (/.f64 x (sin.f64 x)))))
(.f64 -1 (/.f64 y (.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))))
(.f64 -1 (/.f64 y (.f64 x (/.f64 -1 (sin.f64 x)))))
(*.f64 -1 (/.f64 y (neg.f64 (/.f64 x (sin.f64 x)))))
(*.f64 -1 (/.f64 (/.f64 y x) (/.f64 -1 (sin.f64 x))))
(.f64 -1 (/.f64 (.f64 y (sin.f64 x)) (neg.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 y x)))
(*.f64 (neg.f64 (/.f64 y x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 y x)) (/.f64 1 (/.f64 -1 (sin.f64 x))))
(.f64 (.f64 y (neg.f64 (sin.f64 x))) (/.f64 1 (neg.f64 x)))
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 y (/.f64 2 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (*.f64 y 1/2))
(.f64 1/2 (.f64 y (*.f64 (sin.f64 x) (/.f64 2 x))))
(.f64 (/.f64 (sin.f64 x) 2) (.f64 y (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 y (*.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 x x)) (+.f64 y y))
(.f64 (.f64 y 1/2) (*.f64 (sin.f64 x) (/.f64 2 x)))
(.f64 (/.f64 y (+.f64 x x)) (.f64 (sin.f64 x) 2))
(.f64 (.f64 (sin.f64 x) 1/2) (*.f64 y (/.f64 2 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (+.f64 y y))
(.f64 (.f64 (/.f64 1 x) (/.f64 (sin.f64 x) 2)) (+.f64 y y))
(.f64 (.f64 (/.f64 (sin.f64 x) x) 1/2) (+.f64 y y))
(.f64 (/.f64 y (.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))) -1)
(.f64 (/.f64 y (.f64 x (/.f64 -1 (sin.f64 x)))) -1)
(*.f64 (/.f64 y (neg.f64 (/.f64 x (sin.f64 x)))) -1)
(*.f64 (/.f64 (/.f64 y x) (/.f64 -1 (sin.f64 x))) -1)
(.f64 (/.f64 (.f64 y (sin.f64 x)) (neg.f64 x)) -1)
(*.f64 (/.f64 (/.f64 y x) (/.f64 2 (sin.f64 x))) 2)
(.f64 (/.f64 y (/.f64 2 (sin.f64 x))) (.f64 2 (/.f64 1 x)))
(.f64 (/.f64 y (.f64 x (/.f64 2 (sin.f64 x)))) 2)
(.f64 (/.f64 (sin.f64 x) (.f64 2 (/.f64 x y))) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 x y))) (*.f64 (sin.f64 x) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 x y))) (sin.f64 x))
(.f64 (/.f64 1 (.f64 (+.f64 x x) (/.f64 2 (sin.f64 x)))) (*.f64 y 4))
(.f64 (/.f64 1 (.f64 2 (.f64 2 (/.f64 x y)))) (.f64 (sin.f64 x) 4))
(.f64 (/.f64 1 (/.f64 x (/.f64 y 4))) (.f64 (sin.f64 x) 4))
(.f64 (/.f64 2 (/.f64 x (/.f64 y 4))) (.f64 (sin.f64 x) 2))
(.f64 (/.f64 (.f64 (/.f64 y x) (sin.f64 x)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 x)) 4)) (*.f64 (/.f64 y x) 4))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))) (neg.f64 y))
(.f64 (/.f64 1 (.f64 x (/.f64 -1 (sin.f64 x)))) (neg.f64 y))
(*.f64 (/.f64 1 (neg.f64 (/.f64 x (sin.f64 x)))) (neg.f64 y))
(*.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (neg.f64 (/.f64 y x)))
(.f64 (/.f64 1 (neg.f64 x)) (.f64 y (neg.f64 (sin.f64 x))))
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)
(neg.f64 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (neg.f64 (/.f64 y x)) (/.f64 1 (sin.f64 x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x y)))
(neg.f64 (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))))
(neg.f64 (/.f64 y (*.f64 x (/.f64 -1 (sin.f64 x)))))
(neg.f64 (/.f64 y (neg.f64 (/.f64 x (sin.f64 x)))))
(neg.f64 (/.f64 (/.f64 y x) (/.f64 -1 (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 x)))

Outputs
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 y (.f64 y (.f64 (pow.f64 x 2) -1/6)))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 y (+.f64 (.f64 y (.f64 (pow.f64 x 2) -1/6)) (.f64 y (.f64 (pow.f64 x 4) 1/120))))
(+.f64 y (+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 2))) (.f64 1/120 (.f64 y (pow.f64 x 4)))))
(+.f64 y (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2)))))
(+.f64 y (.f64 y (+.f64 (.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(+.f64 (.f64 y (.f64 (pow.f64 x 4) 1/120)) (+.f64 (+.f64 y (.f64 y (.f64 (pow.f64 x 2) -1/6))) (.f64 y (.f64 (pow.f64 x 6) -1/5040))))
(+.f64 (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))) (+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (.f64 1/120 (.f64 y (pow.f64 x 4)))))
(+.f64 (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))) (+.f64 (.f64 -1/5040 (*.f64 y (pow.f64 x 6))) y))
(+.f64 y (.f64 y (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))))
(+.f64 y (.f64 y (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (.f64 1/120 (pow.f64 x 4))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(+.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (/.f64 y x))
(+.f64 0 (*.f64 (/.f64 y x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 1 (.f64 (/.f64 y x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 x y))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (/.f64 y x) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (+.f64 y y) (/.f64 (sin.f64 x) (+.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (+.f64 y y) (.f64 (sin.f64 x) (/.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (+.f64 y y) (.f64 (/.f64 1 x) (/.f64 (sin.f64 x) 2)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (+.f64 y y) (.f64 (/.f64 (sin.f64 x) x) 1/2))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 2 (/.f64 (/.f64 y x) (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 2 (/.f64 y (.f64 x (/.f64 2 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 2 (/.f64 (sin.f64 x) (.f64 2 (/.f64 x y))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 2 (/.f64 (.f64 (/.f64 y x) (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 y (+.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 x (/.f64 y 4))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 y (/.f64 2 x)) (/.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 y (/.f64 2 x)) (*.f64 (sin.f64 x) 1/2))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 y (sin.f64 x)) (/.f64 1 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 x y))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (+.f64 x x) (/.f64 2 (sin.f64 x)))))
(.f64 y (.f64 4 (/.f64 (/.f64 1/2 x) (/.f64 2 (sin.f64 x)))))
(.f64 y (.f64 4 (/.f64 (sin.f64 x) (/.f64 2 (/.f64 1/2 x)))))
(.f64 y (.f64 4 (/.f64 (sin.f64 x) (/.f64 x 1/4))))
(.f64 y (.f64 4 (/.f64 (sin.f64 x) (*.f64 x 4))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 2 (.f64 2 (/.f64 x y)))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 2 (/.f64 x y))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1/4 (/.f64 x y))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 y (/.f64 x 1/4))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 y (*.f64 x 4)))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (/.f64 x (/.f64 y 4))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 2 (/.f64 x y))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1/4 (/.f64 x y))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 y (/.f64 x 1/4))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 y (*.f64 x 4)))
(.f64 (.f64 y (*.f64 (sin.f64 x) (/.f64 2 x))) 1/2)
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)))
(.f64 (/.f64 y x) (.f64 4 (/.f64 1 (*.f64 4 (/.f64 1 (sin.f64 x))))))
(.f64 (.f64 4 (/.f64 y x)) (/.f64 (/.f64 (sin.f64 x) 1) 4))
(.f64 (/.f64 y x) (.f64 4 (/.f64 (sin.f64 x) 4)))
(.f64 (.f64 y (*.f64 (sin.f64 x) 2)) (/.f64 1/2 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 1 x) (.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (neg.f64 y) (/.f64 1 (.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (neg.f64 y) (/.f64 1 (.f64 x (/.f64 -1 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 -1 (/.f64 y (.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 -1 (/.f64 y (.f64 x (/.f64 -1 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 -1 (/.f64 y (neg.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 -1 (/.f64 (/.f64 y x) (/.f64 -1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 -1 (/.f64 (.f64 y (sin.f64 x)) (neg.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 y x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (neg.f64 (/.f64 y x)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (neg.f64 (/.f64 y x)) (/.f64 1 (/.f64 -1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 y (neg.f64 (sin.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 y (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (*.f64 y 1/2))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 1/2 (.f64 y (*.f64 (sin.f64 x) (/.f64 2 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (sin.f64 x) 2) (.f64 y (/.f64 2 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 1/2 x) (.f64 y (*.f64 (sin.f64 x) 2)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 x x)) (+.f64 y y))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 y 1/2) (*.f64 (sin.f64 x) (/.f64 2 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 y (+.f64 x x)) (.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (sin.f64 x) 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (+.f64 y y))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (/.f64 1 x) (/.f64 (sin.f64 x) 2)) (+.f64 y y))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (.f64 (/.f64 (sin.f64 x) x) 1/2) (+.f64 y y))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 y (.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))) -1)
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 y (.f64 x (/.f64 -1 (sin.f64 x)))) -1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 y (neg.f64 (/.f64 x (sin.f64 x)))) -1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (/.f64 y x) (/.f64 -1 (sin.f64 x))) -1)
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (.f64 y (sin.f64 x)) (neg.f64 x)) -1)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (/.f64 y x) (/.f64 2 (sin.f64 x))) 2)
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 y (/.f64 2 (sin.f64 x))) (.f64 2 (/.f64 1 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 y (.f64 x (/.f64 2 (sin.f64 x)))) 2)
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (sin.f64 x) (.f64 2 (/.f64 x y))) 2)
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (/.f64 x y))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 x y))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 1 (.f64 (+.f64 x x) (/.f64 2 (sin.f64 x)))) (*.f64 y 4))
(.f64 y (.f64 4 (/.f64 (/.f64 1/2 x) (/.f64 2 (sin.f64 x)))))
(.f64 y (.f64 4 (/.f64 (sin.f64 x) (/.f64 2 (/.f64 1/2 x)))))
(.f64 y (.f64 4 (/.f64 (sin.f64 x) (/.f64 x 1/4))))
(.f64 y (.f64 4 (/.f64 (sin.f64 x) (*.f64 x 4))))
(.f64 (/.f64 1 (.f64 2 (.f64 2 (/.f64 x y)))) (.f64 (sin.f64 x) 4))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 2 (/.f64 x y))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1/4 (/.f64 x y))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 y (/.f64 x 1/4))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 y (*.f64 x 4)))
(.f64 (/.f64 1 (/.f64 x (/.f64 y 4))) (.f64 (sin.f64 x) 4))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 2 (/.f64 x y))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1/4 (/.f64 x y))))
(.f64 (sin.f64 x) (.f64 4 (/.f64 y (/.f64 x 1/4))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 y (*.f64 x 4)))
(.f64 (/.f64 2 (/.f64 x (/.f64 y 4))) (.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (.f64 (/.f64 y x) (sin.f64 x)) 2) 2)
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 x)) 4)) (*.f64 (/.f64 y x) 4))
(.f64 (/.f64 y x) (.f64 4 (/.f64 1 (*.f64 4 (/.f64 1 (sin.f64 x))))))
(.f64 (.f64 4 (/.f64 y x)) (/.f64 (/.f64 (sin.f64 x) 1) 4))
(.f64 (/.f64 y x) (.f64 4 (/.f64 (sin.f64 x) 4)))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))) (neg.f64 y))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 1 (.f64 x (/.f64 -1 (sin.f64 x)))) (neg.f64 y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 1 (neg.f64 (/.f64 x (sin.f64 x)))) (neg.f64 y))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (neg.f64 (/.f64 y x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 1 (neg.f64 x)) (.f64 y (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (/.f64 y x))
(neg.f64 (*.f64 (/.f64 y x) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(neg.f64 (/.f64 (neg.f64 (/.f64 y x)) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x y)))
(*.f64 (sin.f64 x) (/.f64 y x))
(neg.f64 (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(neg.f64 (/.f64 y (*.f64 x (/.f64 -1 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(neg.f64 (/.f64 y (neg.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 y x))
(neg.f64 (/.f64 (/.f64 y x) (/.f64 -1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.2b	(/.f64 (sinh.f64 y) (/.f64 1 x))
✓	14.5b	(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) x)

Compiler

Compiled 24 to 13 computations (45.8% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) x)
0.0ms	y	@	-inf	(/.f64 (sinh.f64 y) (/.f64 1 x))
0.0ms	y	@	inf	(/.f64 (sinh.f64 y) (/.f64 1 x))
0.0ms	x	@	-inf	(/.f64 (sinh.f64 y) (/.f64 1 x))
0.0ms	y	@	0	(/.f64 (sinh.f64 y) (/.f64 1 x))

rewrite134.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1994×	`rational.json-1`
1994×	`rational.json-2`
1604×	`rational.json-simplify-35`
946×	`rational.json-simplify-50`
876×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	85	34
2	269	16
3	962	16
4	2858	16
5	7030	16

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

Inputs
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) x)
(/.f64 (sinh.f64 y) (/.f64 1 x))

Outputs

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

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

simplify522.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1230×	`rational.json-simplify-44`
1126×	`rational.json-simplify-47`
1062×	`rational.json-simplify-2`
940×	`rational.json-simplify-35`
720×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	2684
1	577	2672
2	1774	2630
3	5235	2630
4	7530	2630

Stop Event

1×	node limit

Counts

196 → 183

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/5040 (*.f64 (pow.f64 y 7) x)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(+.f64 (sinh.f64 y) 0)
(+.f64 0 (sinh.f64 y))
(+.f64 -1 (-.f64 1 (neg.f64 (sinh.f64 y))))
(+.f64 (.f64 (sinh.f64 y) 1/2) (.f64 (sinh.f64 y) 1/2))
(-.f64 (sinh.f64 y) 0)
(-.f64 0 (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(*.f64 x (/.f64 (sinh.f64 y) x))
(.f64 x (/.f64 x (.f64 x (/.f64 x (sinh.f64 y)))))
(.f64 x (+.f64 (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))) (*.f64 (sinh.f64 y) (/.f64 1/2 x))))
(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))
(.f64 (.f64 (sinh.f64 y) x) (/.f64 1 x))
(.f64 (.f64 (sinh.f64 y) 2) 1/2)
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 x (/.f64 1/2 x)))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 x) (/.f64 x 2)))
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 x (+.f64 x x)))
(.f64 (/.f64 2 x) (.f64 (*.f64 (sinh.f64 y) x) 1/2))
(*.f64 (/.f64 2 x) (/.f64 (sinh.f64 y) (/.f64 2 x)))
(.f64 (.f64 (sinh.f64 y) (+.f64 x x)) (/.f64 1/2 x))
(.f64 (.f64 (sinh.f64 y) (+.f64 x x)) (*.f64 (/.f64 1 x) 1/2))
(.f64 (+.f64 x x) (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))))
(.f64 (+.f64 x x) (.f64 (sinh.f64 y) (/.f64 1/2 x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 1 (/.f64 2 (sinh.f64 y)))))
(*.f64 (+.f64 x x) (/.f64 (sinh.f64 y) (+.f64 x x)))
(*.f64 (+.f64 x x) (/.f64 2 (/.f64 4 (/.f64 (sinh.f64 y) x))))
(*.f64 2 (/.f64 1 (/.f64 2 (sinh.f64 y))))
(.f64 2 (.f64 (sinh.f64 y) 1/2))
(.f64 2 (/.f64 (.f64 (sinh.f64 y) x) (+.f64 x x)))
(.f64 2 (/.f64 x (.f64 x (/.f64 2 (sinh.f64 y)))))
(*.f64 (/.f64 (sinh.f64 y) x) x)
(.f64 (.f64 x x) (/.f64 1 (*.f64 x (/.f64 x (sinh.f64 y)))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 x (/.f64 4 (sinh.f64 y)))))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 4 (/.f64 (sinh.f64 y) x))))
(.f64 (.f64 (sinh.f64 y) 4) 1/4)
(.f64 (.f64 (sinh.f64 y) (.f64 x 4)) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) (/.f64 x 2))
(*.f64 -1 (neg.f64 (sinh.f64 y)))
(.f64 -1 (/.f64 (sinh.f64 y) (.f64 x (neg.f64 (/.f64 1 x)))))
(.f64 -1 (/.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (neg.f64 x))))
(.f64 -1 (/.f64 (.f64 (sinh.f64 y) x) (neg.f64 x)))
(*.f64 -1 (/.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (/.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (sinh.f64 y))))
(*.f64 (neg.f64 (sinh.f64 y)) -1)
(.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (.f64 x (neg.f64 (/.f64 1 x)))))
(.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (.f64 (/.f64 1 x) (neg.f64 x))))
(.f64 (.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 -1 x))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 -2 (/.f64 2 x)))
(.f64 1/2 (.f64 (sinh.f64 y) 2))
(.f64 1/2 (/.f64 (/.f64 2 x) (/.f64 1 (.f64 (sinh.f64 y) x))))
(.f64 (/.f64 x 2) (.f64 (sinh.f64 y) (/.f64 2 x)))
(*.f64 (/.f64 1 (/.f64 2 (sinh.f64 y))) 2)
(.f64 (/.f64 1/2 x) (.f64 (sinh.f64 y) (+.f64 x x)))
(.f64 (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))) (+.f64 x x))
(.f64 (.f64 (sinh.f64 y) 1/2) 2)
(.f64 (.f64 (sinh.f64 y) (/.f64 1/2 x)) (+.f64 x x))
(.f64 (/.f64 -1 x) (.f64 (sinh.f64 y) (neg.f64 x)))
(.f64 (.f64 x (/.f64 1/2 x)) (*.f64 (sinh.f64 y) 2))
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (sinh.f64 y) (+.f64 x x)))
(.f64 (.f64 (/.f64 1 x) (/.f64 x 2)) (*.f64 (sinh.f64 y) 2))
(.f64 (.f64 (/.f64 1 x) (/.f64 1 (/.f64 2 (sinh.f64 y)))) (+.f64 x x))
(.f64 (.f64 (*.f64 (sinh.f64 y) x) 1/2) (/.f64 2 x))
(.f64 (/.f64 x (+.f64 x x)) (.f64 (sinh.f64 y) 2))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 2 x)) (/.f64 2 x))
(*.f64 (/.f64 (sinh.f64 y) (+.f64 x x)) (+.f64 x x))
(.f64 (/.f64 (.f64 (sinh.f64 y) x) (+.f64 x x)) 2)
(.f64 1/4 (.f64 (sinh.f64 y) 4))
(*.f64 (/.f64 -2 (/.f64 2 x)) (/.f64 (sinh.f64 y) (neg.f64 x)))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 (sinh.f64 y) (.f64 x 4)))
(.f64 (/.f64 (/.f64 2 x) (/.f64 1 (.f64 (sinh.f64 y) x))) 1/2)
(.f64 (/.f64 x (.f64 x (/.f64 2 (sinh.f64 y)))) 2)
(.f64 (/.f64 1 (.f64 x (/.f64 x (sinh.f64 y)))) (*.f64 x x))
(.f64 (/.f64 x (.f64 x (/.f64 x (sinh.f64 y)))) x)
(.f64 (/.f64 1 (.f64 x (/.f64 4 (sinh.f64 y)))) (*.f64 x 4))
(.f64 (/.f64 1 (/.f64 4 (/.f64 (sinh.f64 y) x))) (.f64 x 4))
(*.f64 (/.f64 2 (/.f64 4 (/.f64 (sinh.f64 y) x))) (+.f64 x x))
(*.f64 (/.f64 -1 (/.f64 x (sinh.f64 y))) (neg.f64 x))
(.f64 (/.f64 (sinh.f64 y) (.f64 x (neg.f64 (/.f64 1 x)))) -1)
(.f64 (/.f64 1 (.f64 x (neg.f64 (/.f64 1 x)))) (neg.f64 (sinh.f64 y)))
(.f64 (/.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (neg.f64 x))) -1)
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (neg.f64 x))) (neg.f64 (sinh.f64 y)))
(.f64 (/.f64 (.f64 (sinh.f64 y) x) (neg.f64 x)) -1)
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (/.f64 1 x))) -1)
(*.f64 (+.f64 (/.f64 1 (/.f64 2 (sinh.f64 y))) (/.f64 1 (/.f64 2 (sinh.f64 y)))) 1)
(.f64 (+.f64 (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))) (/.f64 1 (*.f64 x (/.f64 2 (sinh.f64 y))))) x)
(pow.f64 (sinh.f64 y) 1)
(neg.f64 (neg.f64 (sinh.f64 y)))
(sinh.f64 y)
(+.f64 (*.f64 (sinh.f64 y) x) 0)
(+.f64 0 (*.f64 (sinh.f64 y) x))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))))
(-.f64 (*.f64 (sinh.f64 y) x) 0)
(-.f64 0 (*.f64 (sinh.f64 y) (neg.f64 x)))
(*.f64 (sinh.f64 y) x)
(.f64 1 (.f64 (sinh.f64 y) x))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 1 x) (.f64 x (*.f64 (sinh.f64 y) x)))
(.f64 (/.f64 1 x) (/.f64 (.f64 (sinh.f64 y) x) (/.f64 1 x)))
(.f64 (.f64 (sinh.f64 y) x) 1)
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 x 2))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 x 1/2))
(.f64 (/.f64 2 x) (.f64 (/.f64 (*.f64 (sinh.f64 y) x) 2) x))
(.f64 (.f64 (sinh.f64 y) (+.f64 x x)) 1/2)
(.f64 (.f64 (sinh.f64 y) (+.f64 x x)) (*.f64 x (/.f64 1/2 x)))
(*.f64 (+.f64 x x) (/.f64 1 (/.f64 2 (sinh.f64 y))))
(.f64 (+.f64 x x) (.f64 (sinh.f64 y) 1/2))
(*.f64 2 (/.f64 (sinh.f64 y) (/.f64 2 x)))
(.f64 2 (/.f64 (.f64 (sinh.f64 y) x) 2))
(*.f64 2 (/.f64 x (/.f64 2 (sinh.f64 y))))
(.f64 2 (.f64 (/.f64 x 2) (sinh.f64 y)))
(.f64 2 (.f64 (*.f64 (sinh.f64 y) 1/2) x))
(.f64 2 (.f64 (/.f64 1 (/.f64 2 (sinh.f64 y))) x))
(.f64 (/.f64 (sinh.f64 y) x) (.f64 x x))
(.f64 (.f64 x x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 4 (sinh.f64 y))))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 2 (*.f64 (/.f64 2 x) 4)))
(.f64 (.f64 (sinh.f64 y) (*.f64 x 4)) 1/4)
(.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) (*.f64 (/.f64 x 2) x))
(.f64 -1 (.f64 (sinh.f64 y) (neg.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (sinh.f64 y))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -2 (/.f64 2 x)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (/.f64 -1 x)))
(.f64 (.f64 (sinh.f64 y) (neg.f64 x)) -1)
(.f64 1/2 (.f64 (sinh.f64 y) (+.f64 x x)))
(.f64 (/.f64 x 2) (.f64 (sinh.f64 y) 2))
(*.f64 (/.f64 1 (/.f64 2 (sinh.f64 y))) (+.f64 x x))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 (sinh.f64 y) (*.f64 x 4)) (/.f64 2 x)))
(.f64 (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))) (/.f64 (+.f64 x x) (/.f64 1 x)))
(.f64 (.f64 (sinh.f64 y) 1/2) (+.f64 x x))
(.f64 (.f64 x (*.f64 (sinh.f64 y) x)) (/.f64 1 x))
(.f64 (.f64 x 1/2) (*.f64 (sinh.f64 y) 2))
(.f64 (.f64 x (/.f64 1/2 x)) (*.f64 (sinh.f64 y) (+.f64 x x)))
(.f64 (/.f64 (+.f64 x x) (/.f64 1 x)) (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 2 x)) 2)
(.f64 1/4 (.f64 (sinh.f64 y) (*.f64 x 4)))
(.f64 (/.f64 (.f64 (sinh.f64 y) x) 2) 2)
(.f64 (/.f64 (.f64 (sinh.f64 y) x) (/.f64 1 x)) (/.f64 1 x))
(.f64 (/.f64 (.f64 (sinh.f64 y) (*.f64 x 4)) (/.f64 2 x)) (/.f64 1/2 x))
(*.f64 (/.f64 x (/.f64 2 (sinh.f64 y))) 2)
(.f64 (/.f64 1 (/.f64 4 (sinh.f64 y))) (.f64 x 4))
(.f64 (/.f64 2 (.f64 (/.f64 2 x) 4)) (*.f64 (sinh.f64 y) 4))
(*.f64 (/.f64 1 (/.f64 -1 (sinh.f64 y))) (neg.f64 x))
(*.f64 (/.f64 -2 (/.f64 2 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (/.f64 -1 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (+.f64 (/.f64 1 (/.f64 2 (sinh.f64 y))) (/.f64 1 (/.f64 2 (sinh.f64 y)))) x)
(.f64 (+.f64 (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))) (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y))))) (.f64 x x))
(pow.f64 (*.f64 (sinh.f64 y) x) 1)
(neg.f64 (*.f64 (sinh.f64 y) (neg.f64 x)))

Outputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
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(-.f64 0 (*.f64 (sinh.f64 y) (neg.f64 x)))
(*.f64 x (sinh.f64 y))
(*.f64 (sinh.f64 y) x)
(*.f64 x (sinh.f64 y))
(.f64 1 (.f64 (sinh.f64 y) x))
(*.f64 x (sinh.f64 y))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 1 x) (.f64 x (*.f64 (sinh.f64 y) x)))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 1 x) (/.f64 (.f64 (sinh.f64 y) x) (/.f64 1 x)))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) x) 1)
(*.f64 x (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 x 2))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 x 1/2))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 2 x) (.f64 (/.f64 (*.f64 (sinh.f64 y) x) 2) x))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) (+.f64 x x)) 1/2)
(*.f64 x (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) (+.f64 x x)) (*.f64 x (/.f64 1/2 x)))
(*.f64 x (sinh.f64 y))
(*.f64 (+.f64 x x) (/.f64 1 (/.f64 2 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(.f64 (+.f64 x x) (.f64 (sinh.f64 y) 1/2))
(*.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 (sinh.f64 y) (/.f64 2 x)))
(*.f64 x (sinh.f64 y))
(.f64 2 (/.f64 (.f64 (sinh.f64 y) x) 2))
(*.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (/.f64 2 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(.f64 2 (.f64 (/.f64 x 2) (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(.f64 2 (.f64 (*.f64 (sinh.f64 y) 1/2) x))
(*.f64 x (sinh.f64 y))
(.f64 2 (.f64 (/.f64 1 (/.f64 2 (sinh.f64 y))) x))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 (sinh.f64 y) x) (.f64 x x))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 x x) (/.f64 (sinh.f64 y) x))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 4 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 2 (*.f64 (/.f64 2 x) 4)))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) (*.f64 x 4)) 1/4)
(*.f64 x (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) (*.f64 (/.f64 x 2) x))
(*.f64 x (sinh.f64 y))
(.f64 -1 (.f64 (sinh.f64 y) (neg.f64 x)))
(*.f64 x (sinh.f64 y))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -2 (/.f64 2 x)))
(*.f64 x (sinh.f64 y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (/.f64 -1 x)))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) (neg.f64 x)) -1)
(*.f64 x (sinh.f64 y))
(.f64 1/2 (.f64 (sinh.f64 y) (+.f64 x x)))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 x 2) (.f64 (sinh.f64 y) 2))
(*.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (/.f64 2 (sinh.f64 y))) (+.f64 x x))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 (sinh.f64 y) (*.f64 x 4)) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 (*.f64 x 4) (/.f64 x (/.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 1/2 x) (.f64 (sinh.f64 y) (/.f64 (*.f64 x 4) (/.f64 2 x))))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (/.f64 1/2 (sinh.f64 y)) x)))
(.f64 (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))) (/.f64 (+.f64 x x) (/.f64 1 x)))
(.f64 (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))) (/.f64 x (/.f64 1/2 x)))
(.f64 (/.f64 (sinh.f64 y) (.f64 x 2)) (/.f64 x (/.f64 1/2 x)))
(.f64 (.f64 (sinh.f64 y) (/.f64 1/2 x)) (/.f64 x (/.f64 1/2 x)))
(.f64 (.f64 (sinh.f64 y) 1/2) (+.f64 x x))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 x (*.f64 (sinh.f64 y) x)) (/.f64 1 x))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 x 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 x (sinh.f64 y))
(.f64 (.f64 x (/.f64 1/2 x)) (*.f64 (sinh.f64 y) (+.f64 x x)))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 (+.f64 x x) (/.f64 1 x)) (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))) (/.f64 x (/.f64 1/2 x)))
(.f64 (/.f64 (sinh.f64 y) (.f64 x 2)) (/.f64 x (/.f64 1/2 x)))
(.f64 (.f64 (sinh.f64 y) (/.f64 1/2 x)) (/.f64 x (/.f64 1/2 x)))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 2 x)) 2)
(*.f64 x (sinh.f64 y))
(.f64 1/4 (.f64 (sinh.f64 y) (*.f64 x 4)))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 (.f64 (sinh.f64 y) x) 2) 2)
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 (.f64 (sinh.f64 y) x) (/.f64 1 x)) (/.f64 1 x))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 (.f64 (sinh.f64 y) (*.f64 x 4)) (/.f64 2 x)) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (.f64 (*.f64 x 4) (/.f64 x (/.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 1/2 x) (.f64 (sinh.f64 y) (/.f64 (*.f64 x 4) (/.f64 2 x))))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (/.f64 1/2 (sinh.f64 y)) x)))
(*.f64 (/.f64 x (/.f64 2 (sinh.f64 y))) 2)
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 1 (/.f64 4 (sinh.f64 y))) (.f64 x 4))
(*.f64 x (sinh.f64 y))
(.f64 (/.f64 2 (.f64 (/.f64 2 x) 4)) (*.f64 (sinh.f64 y) 4))
(*.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (/.f64 -1 (sinh.f64 y))) (neg.f64 x))
(*.f64 x (sinh.f64 y))
(*.f64 (/.f64 -2 (/.f64 2 x)) (neg.f64 (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (/.f64 -1 x)) (neg.f64 (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(*.f64 (+.f64 (/.f64 1 (/.f64 2 (sinh.f64 y))) (/.f64 1 (/.f64 2 (sinh.f64 y)))) x)
(*.f64 x (sinh.f64 y))
(.f64 (+.f64 (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y)))) (/.f64 1 (.f64 x (/.f64 2 (sinh.f64 y))))) (.f64 x x))
(*.f64 x (sinh.f64 y))
(pow.f64 (*.f64 (sinh.f64 y) x) 1)
(*.f64 x (sinh.f64 y))
(neg.f64 (*.f64 (sinh.f64 y) (neg.f64 x)))
(*.f64 x (sinh.f64 y))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
✓	0.3b	(*.f64 x 1/6)
✓	14.5b	(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)

Compiler

Compiled 43 to 27 computations (37.2% saved)

series7.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
1.0ms	y	@	0	(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
1.0ms	y	@	-inf	(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
1.0ms	y	@	inf	(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
0.0ms	x	@	-inf	(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2008×	`rational.json-1`
2008×	`rational.json-2`
1726×	`rational.json-simplify-35`
922×	`exponential.json-3`
922×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	103	71
2	273	71
3	783	71
4	2653	71
5	7124	71

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

Inputs
(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
(*.f64 x 1/6)
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (*.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (/.f64 2 x) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 2 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 4) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (*.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sinh.f64 y) (*.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sinh.f64 y) (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sinh.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 -1 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (/.f64 (sinh.f64 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) (/.f64 2 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (*.f64 (sinh.f64 y) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 1/2) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (+.f64 x x)) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (/.f64 (sinh.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (*.f64 x 4))) (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (*.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x 2/3)) (*.f64 2 (*.f64 x 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (/.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 1/2) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) 2) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) 4)) (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))))

simplify274.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational.json-simplify-61`
1134×	`rational.json-simplify-2`
796×	`rational.json-simplify-53`
750×	`rational.json-simplify-35`
734×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	304	7612
1	672	7516
2	1411	7372
3	3234	7324
4	5846	7294

Stop Event

1×	node limit

Counts

170 → 231

Calls

Call 1

Inputs
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))) (/.f64 y (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))) (/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x)) (.f64 1/5040 (/.f64 (pow.f64 y 7) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/72 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))))
(+.f64 (.f64 1/72 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 -1/432 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))))))
(*.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (+.f64 (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 108 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)))))
(+.f64 (.f64 -648 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 8))) (+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (+.f64 (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 108 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))))))
(*.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (+.f64 (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 108 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)))))
(+.f64 (.f64 -648 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 8))) (+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (+.f64 (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 108 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))))))
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(/.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (+.f64 (.f64 1/6 x) (/.f64 1 x)))) (/.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (+.f64 (.f64 1/6 x) (/.f64 1 x)))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) (+.f64 (.f64 1/6 x) (/.f64 1 x)))) (/.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (+.f64 (.f64 1/6 x) (/.f64 1 x)))) (+.f64 (.f64 1/5040 (/.f64 (pow.f64 y 7) (+.f64 (.f64 1/6 x) (/.f64 1 x)))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) (+.f64 (.f64 1/6 x) (/.f64 1 x)))) (/.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 1/72 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (.f64 1/72 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 -1/432 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(*.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) (*.f64 108 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)))))
(+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 -648 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) (.f64 108 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))))))
(*.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) (*.f64 108 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)))))
(+.f64 (.f64 -18 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 -648 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (.f64 3 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) (.f64 108 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))))))
(+.f64 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 x 1/6)))) 0)
(+.f64 0 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 x 1/6)))))
(-.f64 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 x 1/6)))) 0)
(.f64 (sinh.f64 y) (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(.f64 1 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(.f64 (/.f64 1 x) (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) (/.f64 1 x))
(.f64 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 1)
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/3))))
(.f64 (.f64 (sinh.f64 y) 2) (.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 1/2))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (/.f64 1/2 x))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (.f64 x 1/6)))) (.f64 (/.f64 1 x) 1/2))
(.f64 2 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) (+.f64 x x)))
(.f64 2 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 2 x) (*.f64 x 1/3)))))
(.f64 2 (/.f64 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 2))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(.f64 2 (.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (sinh.f64 y)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (/.f64 (sinh.f64 y) x)))
(.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(.f64 (/.f64 2 x) (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (.f64 x 1/3))))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (*.f64 x 4))))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 (.f64 x (+.f64 (/.f64 1 x) (.f64 x 1/6))))) 1/2)
(.f64 (.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 4) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (.f64 x 1/6))) (sinh.f64 y))
(.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))
(.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))))
(.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(.f64 -1 (/.f64 (sinh.f64 y) (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))
(.f64 -1 (/.f64 (sinh.f64 y) (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))))
(.f64 -1 (/.f64 (sinh.f64 y) (neg.f64 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6))))))
(.f64 -1 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) (neg.f64 x)))
(.f64 -1 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(.f64 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (.f64 x 1/6))) (/.f64 -1 x))
(.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 -1 (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(.f64 (.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (/.f64 (sinh.f64 y) (+.f64 x x)))
(.f64 (/.f64 1/2 x) (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(.f64 1/2 (.f64 (sinh.f64 y) (/.f64 2 (.f64 x (+.f64 (/.f64 1 x) (.f64 x 1/6))))))
(.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/3))) (*.f64 (sinh.f64 y) (/.f64 2 x)))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (.f64 x 1/3))) (*.f64 (sinh.f64 y) 2))
(.f64 (.f64 (/.f64 1 x) 1/2) (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (.f64 x 1/6)))))
(.f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 1/2) (.f64 (sinh.f64 y) 2))
(.f64 (/.f64 (sinh.f64 y) (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))) -1)
(.f64 (/.f64 (sinh.f64 y) (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))) -1)
(.f64 (/.f64 (sinh.f64 y) (neg.f64 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6))))) -1)
(.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) (neg.f64 x)) -1)
(.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 1 x) (.f64 x 1/6))) -1)
(.f64 (/.f64 (sinh.f64 y) (+.f64 x x)) (.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (.f64 x 1/3))) (/.f64 2 x))
(.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) (+.f64 x x)) 2)
(.f64 (/.f64 1 (.f64 x 4)) (.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 4))
(.f64 (/.f64 -1 x) (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(.f64 (/.f64 -1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) (/.f64 (sinh.f64 y) (neg.f64 x)))
(.f64 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) 2)
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (.f64 x 4))) (*.f64 (sinh.f64 y) 4))
(.f64 (/.f64 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 2) 2)
(.f64 (/.f64 1 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))) (neg.f64 (sinh.f64 y)))
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))) (neg.f64 (sinh.f64 y)))
(.f64 (/.f64 -1 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (neg.f64 (sinh.f64 y)))
(.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/3))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) (/.f64 (sinh.f64 y) x))
(.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (.f64 x 1/3))) (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) (sinh.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 x 1/6)))) 1)
(neg.f64 (/.f64 (sinh.f64 y) (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6))))))
(neg.f64 (/.f64 (sinh.f64 y) (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (neg.f64 x))))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (.f64 x (+.f64 (/.f64 1 x) (.f64 x 1/6))))))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))
(+.f64 (*.f64 x 1/6) 0)
(+.f64 0 (*.f64 x 1/6))
(-.f64 (*.f64 x 1/6) 0)
(/.f64 (*.f64 x 1/6) 1)
(/.f64 (*.f64 x 1/3) 2)
(/.f64 (*.f64 x 2/3) 4)
(/.f64 (.f64 2 (.f64 x 2/3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 x 2/3)) (.f64 2 (.f64 x 2/3))) 16)
(pow.f64 (*.f64 x 1/6) 1)
(+.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 0)
(+.f64 0 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(-.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 0)
(-.f64 0 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))
(.f64 (sinh.f64 y) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(.f64 1 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 1)
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))))
(.f64 (.f64 (sinh.f64 y) 2) (.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) 1/2))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 1/2)
(.f64 2 (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (.f64 x 1/3))))
(.f64 2 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 2))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (sinh.f64 y)))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) 4)))
(.f64 (.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 4) 1/4)
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) (sinh.f64 y))
(.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(.f64 -1 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(.f64 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (.f64 x 1/6))) -1)
(.f64 (.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (/.f64 (sinh.f64 y) 2))
(.f64 1/2 (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/3))) (*.f64 (sinh.f64 y) 2))
(.f64 (.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) 1/2) (.f64 (sinh.f64 y) 2))
(.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (.f64 x 1/3))) 2)
(.f64 1/4 (.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 4))
(.f64 (/.f64 (sinh.f64 y) 2) (.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) 4)) (.f64 (sinh.f64 y) 4))
(.f64 (/.f64 -1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) (neg.f64 (sinh.f64 y)))
(.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/3))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) (sinh.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 1)
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))

Outputs
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) x)
(+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))) (/.f64 y (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(+.f64 (/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x))))))
(+.f64 (/.f64 (/.f64 y (+.f64 (/.f64 1 x) (.f64 1/6 x))) x) (.f64 1/6 (/.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))) (/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (+.f64 (/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))))))
(+.f64 (/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))))))
(+.f64 (/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))))))
(+.f64 (/.f64 (/.f64 y (+.f64 (/.f64 1 x) (.f64 1/6 x))) x) (+.f64 (.f64 1/6 (/.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (.f64 1/120 (/.f64 (/.f64 (pow.f64 y 5) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x))))))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))) (+.f64 (/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x)) (.f64 1/5040 (/.f64 (pow.f64 y 7) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x))))))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (+.f64 (/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (+.f64 (.f64 1/5040 (/.f64 (pow.f64 y 7) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x))))))))
(+.f64 (+.f64 (/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (.f64 1/5040 (/.f64 (pow.f64 y 7) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (+.f64 (/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (+.f64 (.f64 1/5040 (/.f64 (pow.f64 y 7) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x))))))))
(+.f64 (/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (+.f64 (.f64 1/5040 (/.f64 (pow.f64 y 7) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 3) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (.f64 1/120 (/.f64 (pow.f64 y 5) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x))))))))
(+.f64 (/.f64 (/.f64 y (+.f64 (/.f64 1 x) (.f64 1/6 x))) x) (+.f64 (+.f64 (.f64 1/120 (/.f64 (/.f64 (pow.f64 y 5) x) (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (.f64 1/5040 (/.f64 (/.f64 (pow.f64 y 7) x) (+.f64 (/.f64 1 x) (.f64 1/6 x))))) (.f64 1/6 (/.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x))))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)))
(.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 2) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2))))
(+.f64 (.f64 1/72 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 2) -1/12)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/72))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/72 (pow.f64 x 4))))
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(.f64 1/2 (.f64 (sinh.f64 y) (/.f64 2 (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))))
(.f64 (/.f64 (/.f64 4 x) (+.f64 (/.f64 2 x) (.f64 x 1/3))) (*.f64 1/2 (sinh.f64 y)))
(.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/3))) (*.f64 (sinh.f64 y) (/.f64 2 x)))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (.f64 x 1/3))) (*.f64 (sinh.f64 y) 2))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (.f64 (/.f64 1 x) 1/2) (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (.f64 x 1/6)))))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (.f64 1/6 x)))) (.f64 (/.f64 1 x) 1/2))
(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) (.f64 1/2 (/.f64 2 (+.f64 (/.f64 1 x) (.f64 1/6 x))))))
(.f64 (/.f64 1 x) (.f64 1/2 (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (.f64 1/6 x))))))
(.f64 1/2 (.f64 (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) (/.f64 (sinh.f64 y) x)))
(.f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 1/2) (.f64 (sinh.f64 y) 2))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (sinh.f64 y) (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))) -1)
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (sinh.f64 y) (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))) -1)
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (sinh.f64 y) (neg.f64 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6))))) -1)
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) (neg.f64 x)) -1)
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 1 x) (.f64 x 1/6))) -1)
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (sinh.f64 y) (+.f64 x x)) (.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) (/.f64 (sinh.f64 y) (+.f64 x x))))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 1/6 x))) (*.f64 (/.f64 (sinh.f64 y) (+.f64 x x)) 2))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 1/6 x))) (*.f64 2 (/.f64 (sinh.f64 y) (+.f64 x x))))
(.f64 (/.f64 2 (+.f64 (/.f64 2 x) (.f64 x 1/3))) (.f64 2 (.f64 (sinh.f64 y) (/.f64 1/2 x))))
(.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (.f64 x 1/3))) (/.f64 2 x))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) (+.f64 x x)) 2)
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 4))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 -1 x) (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 -1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) 2)
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (.f64 x 4))) (*.f64 (sinh.f64 y) 4))
(.f64 (sinh.f64 y) (.f64 4 (/.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 1/6 x))) (.f64 x 4))))
(.f64 (.f64 4 (sinh.f64 y)) (/.f64 (/.f64 1/4 x) (+.f64 (/.f64 1 x) (*.f64 1/6 x))))
(.f64 4 (.f64 (sinh.f64 y) (/.f64 (/.f64 1/2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/3)))))
(.f64 (/.f64 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 2) 2)
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1 (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6))))) (neg.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/6)) (neg.f64 x))) (neg.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 -1 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (neg.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/3))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/3))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3)))))
(.f64 (.f64 (/.f64 (sinh.f64 y) x) -2) (.f64 -1 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/3)))))
(.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (.f64 x 1/3))) (/.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) (sinh.f64 y))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(pow.f64 (/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 x 1/6)))) 1)
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(neg.f64 (/.f64 (sinh.f64 y) (.f64 x (neg.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6))))))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(neg.f64 (/.f64 (sinh.f64 y) (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) (neg.f64 x))))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (.f64 x (+.f64 (/.f64 1 x) (.f64 x 1/6))))))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) (neg.f64 x)))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))
(/.f64 (sinh.f64 y) (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 (sinh.f64 y) x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(+.f64 (*.f64 x 1/6) 0)
(*.f64 1/6 x)
(+.f64 0 (*.f64 x 1/6))
(*.f64 1/6 x)
(-.f64 (*.f64 x 1/6) 0)
(*.f64 1/6 x)
(/.f64 (*.f64 x 1/6) 1)
(*.f64 1/6 x)
(/.f64 (*.f64 x 1/3) 2)
(*.f64 1/6 x)
(/.f64 (*.f64 x 2/3) 4)
(*.f64 1/6 x)
(/.f64 (.f64 2 (.f64 x 2/3)) 8)
(*.f64 1/6 x)
(/.f64 (+.f64 (.f64 2 (.f64 x 2/3)) (.f64 2 (.f64 x 2/3))) 16)
(*.f64 1/6 x)
(pow.f64 (*.f64 x 1/6) 1)
(*.f64 1/6 x)
(+.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 0)
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(+.f64 0 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(-.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 0)
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(-.f64 0 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (sinh.f64 y) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 1 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 1)
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (.f64 (sinh.f64 y) 2) (.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) 1/2))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) 1/2)
(.f64 1/2 (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 (sinh.f64 y) (.f64 1/2 (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 (/.f64 2 (+.f64 (/.f64 1 x) (.f64 1/6 x))) (*.f64 1/2 (sinh.f64 y)))
(.f64 2 (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (.f64 x 1/3))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 2 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 2))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3))) (sinh.f64 y)))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) 4)))
(.f64 (sinh.f64 y) (.f64 4 (/.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) 4)))
(.f64 4 (.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (.f64 4 (/.f64 1/4 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 (sinh.f64 y) (.f64 4 (/.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/3)))))
(.f64 (.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 4) 1/4)
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) (sinh.f64 y))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 -1 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (.f64 x 1/6))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (.f64 x 1/6))) -1)
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))) (/.f64 (sinh.f64 y) 2))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 1/2 (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(.f64 1/2 (.f64 (sinh.f64 y) (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 (sinh.f64 y) (.f64 1/2 (/.f64 2 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 (/.f64 2 (+.f64 (/.f64 1 x) (.f64 1/6 x))) (*.f64 1/2 (sinh.f64 y)))
(.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/3))) (*.f64 (sinh.f64 y) 2))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) 1/2) (.f64 (sinh.f64 y) 2))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 2 x) (.f64 x 1/3))) 2)
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 1/4 (.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 4))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (sinh.f64 y) 2) (.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/6)))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (.f64 x 1/6))) 2) 2)
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/6)) 4)) (.f64 (sinh.f64 y) 4))
(.f64 (sinh.f64 y) (.f64 4 (/.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) 4)))
(.f64 4 (.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (.f64 4 (/.f64 1/4 (+.f64 (/.f64 1 x) (*.f64 1/6 x)))))
(.f64 (sinh.f64 y) (.f64 4 (/.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/3)))))
(.f64 (/.f64 -1 (+.f64 (/.f64 1 x) (.f64 x 1/6))) (neg.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/3))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/3)))) (sinh.f64 y))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(pow.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) 1)
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (+.f64 (/.f64 1 x) (*.f64 x 1/6))))
(/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))

eval455.0ms (3%)

Compiler: Compiled 14909 to 8395 computations (43.7% saved)

prune456.0ms (3%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	994	10	1004
Fresh	1	5	6
Picked	0	1	1
Done	2	6	8
Total	997	22	1019

Error

Counts

1019 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.2b	(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
	39.3b	(/.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 x y) (.f64 2 (/.f64 x y)))) (/.f64 1/2 (/.f64 x y)))
	15.8b	(/.f64 (/.f64 y (/.f64 1 (sin.f64 x))) x)
	45.0b	(/.f64 (/.f64 y (/.f64 1 x)) x)
	30.9b	(/.f64 (/.f64 y (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
✓	1.5b	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
	18.1b	(/.f64 (/.f64 y x) (/.f64 1 x))
	16.5b	(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
✓	14.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	15.7b	(/.f64 (*.f64 (sin.f64 x) y) x)
▶	45.0b	(/.f64 (*.f64 y x) x)
	43.9b	(/.f64 (.f64 x (/.f64 2 y)) (.f64 (.f64 2 (/.f64 x y)) (/.f64 x (.f64 y (sin.f64 x)))))
✓	1.4b	(/.f64 y (/.f64 x (sin.f64 x)))
▶	16.5b	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
▶	2.1b	(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y))
	30.4b	(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
▶	44.4b	(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))
✓	14.5b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
✓	1.4b	(*.f64 (sin.f64 x) (/.f64 y x))
✓	1.3b	(*.f64 y (/.f64 (sin.f64 x) x))
▶	30.0b	(sinh.f64 y)
	30.6b	y

Compiler

Compiled 383 to 256 computations (33.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y)
✓	0.1b	(/.f64 (neg.f64 x) (sin.f64 x))
✓	0.8b	(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y))

Compiler

Compiled 30 to 9 computations (70% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y)
1.0ms	y	@	0	(/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y)
0.0ms	x	@	0	(/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y)
0.0ms	x	@	inf	(/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y)
0.0ms	x	@	inf	(/.f64 (neg.f64 x) (sin.f64 x))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`exponential.json-3`
1582×	`rational.json-1`
1582×	`rational.json-2`
1582×	`rational.json-4`
1582×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	92	61
2	320	53
3	1311	53
4	3706	53
5	6711	53

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y))
(/.f64 (neg.f64 x) (sin.f64 x))
(/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y)

Outputs

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

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

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

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1366×	`rational.json-simplify-51`
994×	`rational.json-simplify-35`
822×	`rational.json-simplify-2`
788×	`rational.json-simplify-53`
742×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	2955
1	378	2955
2	791	2943
3	1754	2937
4	4670	2937
5	7533	2937

Stop Event

1×	node limit

Counts

149 → 137

Calls

Call 1

Inputs
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
-1
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 -7/360 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -7/360 (pow.f64 x 4)) (*.f64 -31/15120 (pow.f64 x 6)))) 1)
(*.f64 -1 (/.f64 x (sin.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(/.f64 -1 y)
(-.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (.f64 -7/360 (/.f64 (pow.f64 x 4) y))) (/.f64 1 y))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 -31/15120 (/.f64 (pow.f64 x 6) y)))) (/.f64 1 y))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 y (neg.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 y x)))
(-.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(-.f64 0 (*.f64 (sin.f64 x) (/.f64 y (neg.f64 x))))
(.f64 -1 (.f64 (sin.f64 x) (/.f64 y (neg.f64 x))))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (.f64 (sin.f64 x) (/.f64 y x)) 1)
(.f64 1 (.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 x (sin.f64 x))))
(.f64 (+.f64 y y) (.f64 (/.f64 (sin.f64 x) x) 1/2))
(.f64 (.f64 (sin.f64 x) y) (/.f64 1 x))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 x (sin.f64 x))) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(.f64 (.f64 (sin.f64 x) (/.f64 y (neg.f64 x))) -1)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 1/2 (/.f64 x (sin.f64 x))) (+.f64 y y))
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
(.f64 (.f64 (/.f64 (sin.f64 x) x) 1/2) (+.f64 y y))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 x (sin.f64 x))) (/.f64 1/2 (/.f64 x (sin.f64 x)))) y)
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(neg.f64 (*.f64 (sin.f64 x) (/.f64 y (neg.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 x (sin.f64 (neg.f64 x))) 0)
(+.f64 0 (/.f64 x (sin.f64 (neg.f64 x))))
(+.f64 (-.f64 1 (/.f64 x (sin.f64 x))) -1)
(-.f64 (/.f64 x (sin.f64 (neg.f64 x))) 0)
(-.f64 0 (/.f64 x (sin.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 -1 (sin.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 (neg.f64 x))) 1)
(*.f64 1 (/.f64 x (sin.f64 (neg.f64 x))))
(.f64 (/.f64 (.f64 x -2) (sin.f64 x)) 1/2)
(.f64 (.f64 x -2) (/.f64 1/2 (sin.f64 x)))
(.f64 (.f64 x -2) (neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 x)))))
(.f64 (.f64 x -2) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))
(*.f64 (/.f64 x (sin.f64 x)) -1)
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))
(.f64 1/2 (/.f64 (.f64 x -2) (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) x)
(.f64 (/.f64 1/2 (sin.f64 x)) (.f64 x -2))
(.f64 (neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 x)))) (.f64 x -2))
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 x -2))
(*.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (neg.f64 x))
(*.f64 (+.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (/.f64 1/2 (sin.f64 x)))) x)
(pow.f64 (/.f64 x (sin.f64 (neg.f64 x))) 1)
(neg.f64 (/.f64 x (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))))
(+.f64 (/.f64 x (*.f64 y (sin.f64 (neg.f64 x)))) 0)
(+.f64 0 (/.f64 x (*.f64 y (sin.f64 (neg.f64 x)))))
(+.f64 (-.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) -1)
(-.f64 (/.f64 x (*.f64 y (sin.f64 (neg.f64 x)))) 0)
(-.f64 0 (/.f64 x (*.f64 (sin.f64 x) y)))
(.f64 -1 (/.f64 x (.f64 (sin.f64 x) y)))
(*.f64 x (/.f64 (/.f64 -1 y) (sin.f64 x)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 1 y) (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 (neg.f64 x))) (/.f64 1 y))
(.f64 (/.f64 x (.f64 y (sin.f64 (neg.f64 x)))) 1)
(.f64 1 (/.f64 x (.f64 y (sin.f64 (neg.f64 x)))))
(.f64 (/.f64 (.f64 x -2) (sin.f64 x)) (/.f64 1/2 y))
(.f64 (/.f64 (.f64 x -2) (sin.f64 x)) (*.f64 (/.f64 1 y) 1/2))
(*.f64 (/.f64 (/.f64 -2 (/.f64 y x)) (sin.f64 x)) 1/2)
(.f64 (.f64 x -2) (/.f64 (/.f64 1/2 y) (sin.f64 x)))
(.f64 (.f64 x -2) (*.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) 1/2))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 -1 y))
(.f64 2 (.f64 (/.f64 1/2 y) (/.f64 x (sin.f64 (neg.f64 x)))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 y) (sin.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 y) (/.f64 x (sin.f64 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (neg.f64 x))
(.f64 (/.f64 x (.f64 (sin.f64 x) y)) -1)
(*.f64 (/.f64 x y) (/.f64 -1 (sin.f64 x)))
(*.f64 1/2 (/.f64 (/.f64 -2 (/.f64 y x)) (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 x y))
(*.f64 (/.f64 -1 y) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 1/2 y) (/.f64 (.f64 x -2) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)) x)
(.f64 (/.f64 (/.f64 1/2 y) (sin.f64 x)) (.f64 x -2))
(.f64 (.f64 (/.f64 1 y) 1/2) (/.f64 (*.f64 x -2) (sin.f64 x)))
(.f64 (.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) 1/2) (*.f64 x -2))
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (/.f64 x (sin.f64 (neg.f64 x))))
(*.f64 (+.f64 (/.f64 (/.f64 1/2 y) (sin.f64 x)) (/.f64 (/.f64 1/2 y) (sin.f64 x))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 x) y))
(pow.f64 (/.f64 x (*.f64 y (sin.f64 (neg.f64 x)))) 1)
(neg.f64 (/.f64 x (*.f64 (sin.f64 x) y)))

Outputs
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 y (.f64 y (.f64 -1/6 (pow.f64 x 2))))
(+.f64 y (.f64 (pow.f64 x 2) (.f64 y -1/6)))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 y (+.f64 (.f64 y (.f64 -1/6 (pow.f64 x 2))) (.f64 y (.f64 (pow.f64 x 4) 1/120))))
(+.f64 (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))) (.f64 1/120 (.f64 y (pow.f64 x 4))))
(+.f64 y (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2)))))
(+.f64 y (.f64 y (+.f64 (.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(+.f64 (.f64 y (.f64 (pow.f64 x 4) 1/120)) (+.f64 (+.f64 y (.f64 y (.f64 -1/6 (pow.f64 x 2)))) (.f64 y (.f64 (pow.f64 x 6) -1/5040))))
(+.f64 (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))) (+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (.f64 1/120 (.f64 y (pow.f64 x 4)))))
(+.f64 y (+.f64 (.f64 (pow.f64 x 6) (.f64 y -1/5040)) (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2))))))
(+.f64 y (.f64 y (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))))
(+.f64 y (.f64 y (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (.f64 1/120 (pow.f64 x 4))))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
-1
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) -1)
(+.f64 -1 (*.f64 -1/6 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 -7/360 (pow.f64 x 4))) 1)
(+.f64 (.f64 (pow.f64 x 4) -7/360) (+.f64 (.f64 -1/6 (pow.f64 x 2)) -1))
(+.f64 -1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -7/360)))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -7/360 (pow.f64 x 4)) (*.f64 -31/15120 (pow.f64 x 6)))) 1)
(+.f64 (+.f64 (.f64 (pow.f64 x 4) -7/360) (.f64 (pow.f64 x 6) -31/15120)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) -1))
(+.f64 -1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -7/360) (*.f64 (pow.f64 x 6) -31/15120))))
(+.f64 -1 (+.f64 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -7/360)) (*.f64 (pow.f64 x 6) -31/15120)))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -7/360) (+.f64 -1 (*.f64 (pow.f64 x 6) -31/15120))))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 x (sin.f64 x)))
(/.f64 x (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 x) (sin.f64 x))
(/.f64 x (sin.f64 (neg.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 x (sin.f64 x)))
(/.f64 x (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 x) (sin.f64 x))
(/.f64 x (sin.f64 (neg.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 x (sin.f64 x)))
(/.f64 x (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 x) (sin.f64 x))
(/.f64 x (sin.f64 (neg.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 x (sin.f64 x)))
(/.f64 x (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 x) (sin.f64 x))
(/.f64 x (sin.f64 (neg.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 x (sin.f64 x)))
(/.f64 x (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 x) (sin.f64 x))
(/.f64 x (sin.f64 (neg.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 x (sin.f64 x)))
(/.f64 x (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 x) (sin.f64 x))
(/.f64 x (sin.f64 (neg.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 x (sin.f64 x)))
(/.f64 x (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 x) (sin.f64 x))
(/.f64 x (sin.f64 (neg.f64 x)))
(*.f64 -1 (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 x (sin.f64 x)))
(/.f64 x (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 x) (sin.f64 x))
(/.f64 x (sin.f64 (neg.f64 x)))
(/.f64 -1 y)
(-.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (.f64 -7/360 (/.f64 (pow.f64 x 4) y))) (/.f64 1 y))
(+.f64 (.f64 -7/360 (/.f64 (pow.f64 x 4) y)) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (-.f64 (.f64 -7/360 (/.f64 (pow.f64 x 4) y)) (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 -31/15120 (/.f64 (pow.f64 x 6) y)))) (/.f64 1 y))
(+.f64 (+.f64 (.f64 -7/360 (/.f64 (pow.f64 x 4) y)) (.f64 -31/15120 (/.f64 (pow.f64 x 6) y))) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y)))
(+.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y)) (+.f64 (.f64 -7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 -31/15120 (/.f64 (pow.f64 x 6) y))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 -7/360 (/.f64 (pow.f64 x 4) y)) (-.f64 (*.f64 -31/15120 (/.f64 (pow.f64 x 6) y)) (/.f64 1 y))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
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(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
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(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
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(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
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(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
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(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
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(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
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(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
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(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
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(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
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(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 -1 (/.f64 x (.f64 y (sin.f64 x))))
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(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
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(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 y (neg.f64 x)))))
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(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 0)
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (sin.f64 x) (/.f64 y x))
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(+.f64 0 (*.f64 (sin.f64 x) (/.f64 y x)))
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(*.f64 (sin.f64 x) (/.f64 y x))
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(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 (/.f64 x (.f64 (sin.f64 x) y)) -1)
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(*.f64 (/.f64 x y) (/.f64 -1 (sin.f64 x)))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(*.f64 1/2 (/.f64 (/.f64 -2 (/.f64 y x)) (sin.f64 x)))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 x y))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(*.f64 (/.f64 -1 y) (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 (/.f64 1/2 y) (/.f64 (.f64 x -2) (sin.f64 x)))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)) x)
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 (/.f64 (/.f64 1/2 y) (sin.f64 x)) (.f64 x -2))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 (.f64 (/.f64 1 y) 1/2) (/.f64 (*.f64 x -2) (sin.f64 x)))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(.f64 (.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) 1/2) (*.f64 x -2))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (/.f64 x (sin.f64 (neg.f64 x))))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(*.f64 (+.f64 (/.f64 (/.f64 1/2 y) (sin.f64 x)) (/.f64 (/.f64 1/2 y) (sin.f64 x))) (neg.f64 x))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(*.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(pow.f64 (/.f64 x (*.f64 y (sin.f64 (neg.f64 x)))) 1)
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))
(neg.f64 (/.f64 x (*.f64 (sin.f64 x) y)))
(neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sin.f64 x)) (neg.f64 y))
(/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 x (*.f64 y (sin.f64 (neg.f64 x))))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.5b	(/.f64 (*.f64 y x) x)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`rational.json-simplify-50`
1332×	`rational.json-1`
1332×	`rational.json-2`
1332×	`rational.json-4`
1332×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	44	13
2	137	13
3	415	1
4	1548	1
5	3983	1

Stop Event

1×	node limit

Counts

1 → 271

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) x)

Outputs

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x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 (/.f64 (*.f64 y (*.f64 x 4)) x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (*.f64 y -2) (/.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 1/2 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 1/2 x)) (/.f64 (+.f64 x x) (neg.f64 (/.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x x)) (/.f64 (neg.f64 y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 (/.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) 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simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational.json-simplify-35`
856×	`rational.json-simplify-44`
832×	`rational.json-simplify-47`
692×	`rational.json-simplify-49`
674×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	4107
1	1251	3791
2	5146	3383
3	7928	3383

Stop Event

1×	node limit

Counts

295 → 363

Calls

Call 1

Inputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
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(*.f64 (/.f64 (+.f64 x x) (/.f64 -1 x)) (/.f64 (/.f64 y x) (neg.f64 (+.f64 x x))))
(*.f64 (/.f64 (/.f64 y x) (neg.f64 (+.f64 x x))) (/.f64 (+.f64 x x) (/.f64 -1 x)))
(.f64 (/.f64 (+.f64 x x) 1/2) (/.f64 (/.f64 (.f64 y x) (+.f64 x x)) (+.f64 x x)))
(.f64 (/.f64 (/.f64 (.f64 y x) (+.f64 x x)) (+.f64 x x)) (/.f64 (+.f64 x x) 1/2))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 (/.f64 1 x))) (/.f64 (neg.f64 (/.f64 y x)) (+.f64 x x)))
(*.f64 (/.f64 (neg.f64 (/.f64 y x)) (+.f64 x x)) (/.f64 (+.f64 x x) (neg.f64 (/.f64 1 x))))
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(.f64 (/.f64 (.f64 2 (.f64 x (.f64 y -2))) (neg.f64 x)) (/.f64 (neg.f64 x) (.f64 2 (.f64 2 (neg.f64 x)))))
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(.f64 (/.f64 (/.f64 (.f64 y -2) (/.f64 1 x)) (neg.f64 x)) (/.f64 (neg.f64 x) (*.f64 2 (neg.f64 x))))
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(.f64 (/.f64 (/.f64 (.f64 y -2) x) (neg.f64 x)) (/.f64 (neg.f64 x) (/.f64 -2 x)))
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(.f64 (/.f64 (/.f64 (.f64 y 4) (neg.f64 x)) (neg.f64 x)) (/.f64 (neg.f64 x) (/.f64 -4 x)))
(pow.f64 y 1)
(neg.f64 (neg.f64 y))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 x)))
(neg.f64 (/.f64 y (/.f64 x (neg.f64 x))))

Outputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(+.f64 y 0)
y
(+.f64 y (/.f64 0 x))
y
(+.f64 y (+.f64 (/.f64 0 x) (/.f64 0 x)))
y
(+.f64 0 y)
y
(+.f64 -1 (-.f64 y -1))
y
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 y x) (neg.f64 x))))
y
(+.f64 -1 (-.f64 1 (/.f64 y (/.f64 x (neg.f64 x)))))
y
(+.f64 -1 (+.f64 (-.f64 y -1) (/.f64 0 x)))
y
(+.f64 (.f64 y 1/2) (.f64 y 1/2))
y
(+.f64 (.f64 y 1/2) (+.f64 (.f64 y 1/2) (/.f64 0 x)))
y
(+.f64 (/.f64 (.f64 y x) (+.f64 x x)) (/.f64 (.f64 y x) (+.f64 x x)))
y
(+.f64 (/.f64 0 x) y)
y
(+.f64 (-.f64 y -1) -1)
y
(-.f64 y 0)
y
(-.f64 0 (neg.f64 y))
y
(-.f64 0 (/.f64 (*.f64 y x) (neg.f64 x)))
y
(-.f64 0 (/.f64 y (/.f64 x (neg.f64 x))))
y
(*.f64 y 1)
y
(*.f64 y (/.f64 (/.f64 2 (/.f64 1 x)) (+.f64 x x)))
y
(*.f64 x (/.f64 y x))
y
(.f64 (.f64 y x) (/.f64 1 x))
y
(*.f64 1 y)
y
(.f64 (.f64 x (+.f64 y y)) (/.f64 1/2 x))
y
(.f64 (.f64 x (+.f64 y y)) (*.f64 (/.f64 1 x) 1/2))
y
(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))
y
(.f64 (+.f64 x x) (.f64 (/.f64 y x) 1/2))
y
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(*.f64 (/.f64 y x) (/.f64 x (neg.f64 (/.f64 x (neg.f64 x)))))
y
(.f64 2 (.f64 y 1/2))
y
(.f64 2 (/.f64 (.f64 y x) (+.f64 x x)))
y
(.f64 2 (.f64 (*.f64 y x) (/.f64 1/2 x)))
y
(.f64 2 (.f64 x (*.f64 y (/.f64 1/2 x))))
y
(.f64 2 (.f64 (/.f64 y x) (*.f64 x 1/2)))
y
(.f64 2 (/.f64 x (.f64 x (/.f64 2 y))))
y
(.f64 2 (/.f64 (+.f64 x x) (.f64 (/.f64 x y) 4)))
y
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(.f64 y (.f64 (.f64 x 4) (/.f64 1 (.f64 x 4))))
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(*.f64 (+.f64 y y) 1/2)
y
(.f64 (+.f64 y y) (.f64 (/.f64 1 x) (*.f64 x 1/2)))
y
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(.f64 (.f64 y (neg.f64 x)) (/.f64 -1 x))
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(*.f64 (neg.f64 x) (/.f64 y (neg.f64 x)))
y
(*.f64 (neg.f64 y) -1)
y
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 x (neg.f64 x))))
y
(*.f64 -1 (neg.f64 y))
y
(.f64 -1 (/.f64 (.f64 y x) (neg.f64 x)))
y
(*.f64 -1 (/.f64 y (/.f64 x (neg.f64 x))))
y
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(*.f64 (/.f64 (+.f64 y y) x) (/.f64 (/.f64 (neg.f64 x) 2) (/.f64 x (neg.f64 x))))
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(*.f64 (/.f64 (+.f64 y y) x) (/.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) (neg.f64 (+.f64 x x))))
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(*.f64 (/.f64 x (neg.f64 x)) (/.f64 x (/.f64 -1 (/.f64 y x))))
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(.f64 (/.f64 x (neg.f64 x)) (/.f64 (/.f64 (.f64 y -2) (/.f64 1 x)) (+.f64 x x)))
y
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (/.f64 x y)))
y
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(.f64 (/.f64 1 (.f64 y x)) (/.f64 x (/.f64 1 (*.f64 y y))))
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(.f64 (/.f64 (neg.f64 x) (.f64 2 (.f64 2 (neg.f64 x)))) (/.f64 (.f64 2 (.f64 x (.f64 y -2))) (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) (.f64 2 (neg.f64 (+.f64 x x)))) (/.f64 (.f64 2 (.f64 x (*.f64 y -2))) (neg.f64 x)))
y
(.f64 (/.f64 (.f64 2 (.f64 x (.f64 y -2))) (neg.f64 x)) (/.f64 (neg.f64 x) (.f64 2 (.f64 2 (neg.f64 x)))))
y
(.f64 (/.f64 (.f64 2 (.f64 x (.f64 y -2))) (neg.f64 x)) (/.f64 (neg.f64 x) (*.f64 2 (neg.f64 (+.f64 x x)))))
y
(.f64 (/.f64 (/.f64 (.f64 x 4) (/.f64 x y)) (neg.f64 x)) (/.f64 (neg.f64 x) 4))
y
(.f64 (/.f64 (/.f64 (.f64 y (*.f64 x 4)) x) (neg.f64 x)) (/.f64 (neg.f64 x) 4))
y
(.f64 (/.f64 (/.f64 2 (/.f64 1 x)) (neg.f64 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 2 y))))
(/.f64 (/.f64 -2 x) (/.f64 (neg.f64 (/.f64 2 y)) x))
(*.f64 (/.f64 -2 x) (/.f64 x (/.f64 -2 y)))
(*.f64 -2 (/.f64 y -2))
(.f64 (/.f64 (/.f64 (.f64 y -2) (/.f64 1 x)) (neg.f64 x)) 1/2)
y
(.f64 (/.f64 (/.f64 (.f64 y -2) (/.f64 1 x)) (neg.f64 x)) (/.f64 (neg.f64 x) (*.f64 2 (neg.f64 x))))
y
(.f64 (/.f64 (neg.f64 x) (/.f64 4 x)) (/.f64 (/.f64 (.f64 y 4) x) (neg.f64 x)))
(.f64 (/.f64 x (/.f64 -4 x)) (.f64 4 (/.f64 (/.f64 y x) (neg.f64 x))))
(/.f64 (.f64 (/.f64 (neg.f64 y) x) (/.f64 4 x)) (/.f64 -4 (.f64 x x)))
(.f64 (/.f64 x (/.f64 -4 x)) (.f64 y (/.f64 -4 (*.f64 x x))))
(.f64 (/.f64 (/.f64 (.f64 y 4) x) (neg.f64 x)) (/.f64 (neg.f64 x) (/.f64 4 x)))
(.f64 (/.f64 x (/.f64 -4 x)) (.f64 4 (/.f64 (/.f64 y x) (neg.f64 x))))
(/.f64 (.f64 (/.f64 (neg.f64 y) x) (/.f64 4 x)) (/.f64 -4 (.f64 x x)))
(.f64 (/.f64 x (/.f64 -4 x)) (.f64 y (/.f64 -4 (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 x) (/.f64 -1 x)) (/.f64 (/.f64 y x) x))
(.f64 (/.f64 y (.f64 x x)) (/.f64 x (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 y x) x) (/.f64 x (/.f64 1 x)))
(.f64 (/.f64 (neg.f64 x) 1/2) (/.f64 (/.f64 (.f64 y x) (+.f64 x x)) (neg.f64 x)))
y
(.f64 (/.f64 (/.f64 (.f64 y x) (+.f64 x x)) (neg.f64 x)) (/.f64 (neg.f64 x) 1/2))
y
(.f64 (/.f64 (neg.f64 x) (/.f64 -2 x)) (/.f64 (/.f64 (.f64 y -2) x) (neg.f64 x)))
(.f64 (/.f64 (+.f64 y y) (.f64 x x)) (/.f64 x (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 (+.f64 y y) x) x) (/.f64 x (/.f64 2 x)))
(/.f64 x (/.f64 (/.f64 2 x) (*.f64 (/.f64 y x) (/.f64 2 x))))
(.f64 (/.f64 (/.f64 (.f64 y -2) x) (neg.f64 x)) (/.f64 (neg.f64 x) (/.f64 -2 x)))
(.f64 (/.f64 (+.f64 y y) (.f64 x x)) (/.f64 x (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 (+.f64 y y) x) x) (/.f64 x (/.f64 2 x)))
(/.f64 x (/.f64 (/.f64 2 x) (*.f64 (/.f64 y x) (/.f64 2 x))))
(.f64 (/.f64 (neg.f64 x) (/.f64 -4 x)) (/.f64 (/.f64 (.f64 y 4) (neg.f64 x)) (neg.f64 x)))
(.f64 (/.f64 x (/.f64 -4 (neg.f64 x))) (/.f64 (.f64 y 4) (*.f64 (neg.f64 x) (neg.f64 x))))
(.f64 (/.f64 (neg.f64 x) (/.f64 -4 x)) (.f64 4 (/.f64 y (*.f64 (neg.f64 x) (neg.f64 x)))))
(.f64 (/.f64 x (/.f64 4 x)) (.f64 (/.f64 (neg.f64 y) x) (/.f64 -4 x)))
(.f64 (/.f64 (/.f64 (.f64 y 4) (neg.f64 x)) (neg.f64 x)) (/.f64 (neg.f64 x) (/.f64 -4 x)))
(.f64 (/.f64 x (/.f64 -4 (neg.f64 x))) (/.f64 (.f64 y 4) (*.f64 (neg.f64 x) (neg.f64 x))))
(.f64 (/.f64 (neg.f64 x) (/.f64 -4 x)) (.f64 4 (/.f64 y (*.f64 (neg.f64 x) (neg.f64 x)))))
(.f64 (/.f64 x (/.f64 4 x)) (.f64 (/.f64 (neg.f64 y) x) (/.f64 -4 x)))
(pow.f64 y 1)
y
(neg.f64 (neg.f64 y))
y
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 x)))
y
(neg.f64 (/.f64 y (/.f64 x (neg.f64 x))))
y

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/6 x) (/.f64 1 x))
✓	0.0b	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
✓	0.1b	(.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x)
✓	0.3b	(*.f64 1/6 x)

Compiler

Compiled 39 to 26 computations (33.3% saved)

series4.0ms (0%)

Counts

4 → 27

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
0.0ms	y	@	-inf	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
0.0ms	y	@	0	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x)
0.0ms	x	@	-inf	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`rational.json-1`
1600×	`rational.json-2`
1600×	`rational.json-4`
1600×	`rational.json-3`
1580×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	82
1	89	82
2	229	82
3	624	82
4	2087	82
5	5612	82

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

Inputs
(*.f64 1/6 x)
(.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x)
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
(+.f64 (*.f64 1/6 x) (/.f64 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/6 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 x 2/3)) (.f64 2 (.f64 x 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 x) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (.f64 (+.f64 x x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (.f64 (+.f64 x x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 x (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (+.f64 x x))) (/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x))) (+.f64 x x)) (/.f64 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (/.f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 y (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 y (/.f64 2 x)) (+.f64 (.f64 1/6 x) (/.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (/.f64 1 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x)))) (/.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y x) (/.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x))) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 -1 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 1 (.f64 x (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 y) (+.f64 (.f64 1/6 x) (/.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 y (neg.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 y (.f64 x (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (/.f64 2 x)) (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (.f64 y (/.f64 2 x)) (+.f64 (.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) (.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (neg.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (.f64 x (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x))) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x x)) (.f64 2 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 x) (/.f64 (neg.f64 y) (+.f64 (.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 y (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (.f64 x 4))) (.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (.f64 x (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x))) (neg.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 4)) (.f64 2 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))))

simplify121.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational.json-simplify-51`
1120×	`rational.json-simplify-49`
1034×	`rational.json-simplify-61`
862×	`rational.json-simplify-35`
838×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	3018
1	424	3018
2	1263	3006
3	4378	2988
4	7715	2988

Stop Event

1×	node limit

Counts

114 → 123

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/36 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1/216 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/36 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(*.f64 6 (/.f64 y (pow.f64 x 2)))
(+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (.f64 -36 (/.f64 y (pow.f64 x 4))))
(+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))
(+.f64 (.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 216 (/.f64 y (pow.f64 x 6))) (.f64 -36 (/.f64 y (pow.f64 x 4))))))
(*.f64 6 (/.f64 y (pow.f64 x 2)))
(+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (.f64 -36 (/.f64 y (pow.f64 x 4))))
(+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))
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(/.f64 1 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
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(-.f64 (*.f64 1/6 x) 0)
(/.f64 (*.f64 1/6 x) 1)
(/.f64 (*.f64 x 1/3) 2)
(/.f64 (*.f64 x 2/3) 4)
(/.f64 (.f64 2 (.f64 x 2/3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 x 2/3)) (.f64 2 (.f64 x 2/3))) 16)
(pow.f64 (*.f64 1/6 x) 1)
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(-.f64 0 (neg.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))))
(/.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))) 1)
(/.f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (+.f64 x x)) 2)
(/.f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (*.f64 x 4)) 4)
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))) -1)
(/.f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (*.f64 (+.f64 x x) 4)) 8)
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(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (.f64 (+.f64 x x) 4))) 16)
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(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)
(.f64 (neg.f64 y) (/.f64 -1 (.f64 x (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
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(.f64 (/.f64 -1 x) (/.f64 (neg.f64 y) (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 (/.f64 (/.f64 y (.f64 x (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (.f64 x 4))) (*.f64 y 4))
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(/.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 1)
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(/.f64 (.f64 2 (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)))) -2)
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(pow.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 1)
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Outputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
y
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(.f64 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x))) (/.f64 1 x))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (.f64 y (/.f64 2 x)) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (.f64 y 4) (/.f64 1 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (*.f64 x 4))))
(.f64 y (.f64 4 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (.f64 1/6 x)) (*.f64 x 4)))))
(.f64 y (.f64 4 (/.f64 (/.f64 1 (.f64 x 4)) (+.f64 (/.f64 1 x) (.f64 1/6 x)))))
(.f64 (.f64 y 4) (/.f64 (/.f64 1 (.f64 x 4)) (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(.f64 4 (/.f64 y (.f64 x (.f64 4 (+.f64 (/.f64 1 x) (.f64 1/6 x))))))
(.f64 (.f64 2 (/.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) (/.f64 1 (+.f64 x x)))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 y x) (/.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x))) (/.f64 y x))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (neg.f64 y) (/.f64 -1 (.f64 x (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (neg.f64 y) (/.f64 1 (.f64 x (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (neg.f64 y) (+.f64 (.f64 1/6 x) (/.f64 1 x))) (/.f64 -1 x))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 -1 (/.f64 y (neg.f64 (.f64 x (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 -1 (/.f64 y (.f64 x (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 -1 (/.f64 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x))) (neg.f64 x)))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (.f64 y (/.f64 2 x)) (/.f64 1/2 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 1/2 (/.f64 (.f64 y (/.f64 2 x)) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) (*.f64 y (/.f64 2 x)))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) x) (+.f64 y y))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) (+.f64 y y))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 y (neg.f64 (.f64 x (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) -1)
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 y (.f64 x (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) -1)
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (/.f64 y (+.f64 (.f64 1/6 x) (/.f64 1 x))) (neg.f64 x)) -1)
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (/.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 y (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (+.f64 x x))) 2)
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 -1 x) (/.f64 (neg.f64 y) (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 (/.f64 y (.f64 x (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) 2) 2)
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) (.f64 x 4))) (*.f64 y 4))
(.f64 y (.f64 4 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) (.f64 1/6 x)) (*.f64 x 4)))))
(.f64 y (.f64 4 (/.f64 (/.f64 1 (.f64 x 4)) (+.f64 (/.f64 1 x) (.f64 1/6 x)))))
(.f64 (.f64 y 4) (/.f64 (/.f64 1 (.f64 x 4)) (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(.f64 4 (/.f64 y (.f64 x (.f64 4 (+.f64 (/.f64 1 x) (.f64 1/6 x))))))
(.f64 (/.f64 -1 (.f64 x (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) (neg.f64 y))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(.f64 (/.f64 1 (.f64 x (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) (neg.f64 y))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(pow.f64 (/.f64 y (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x)))) 1)
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(neg.f64 (/.f64 y (neg.f64 (.f64 x (+.f64 (.f64 1/6 x) (/.f64 1 x))))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(neg.f64 (/.f64 y (.f64 x (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))))))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(neg.f64 (/.f64 (/.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x))) (neg.f64 x)))
(/.f64 y (.f64 x (+.f64 (/.f64 1 x) (.f64 1/6 x))))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 1/6 x)))
(-.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 0)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(-.f64 0 (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(.f64 2 (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 1/2))
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(.f64 (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 2) 1/2)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(.f64 (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))) -1)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(.f64 -1 (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(.f64 1/2 (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 2))
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(.f64 (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 1/2) 2)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(/.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(/.f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 2) 2)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(/.f64 (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) -1)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(/.f64 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 4) 4)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(/.f64 (.f64 2 (neg.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)))) -2)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 4)) 8)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 4)) (.f64 2 (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) 4))) 16)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(pow.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 x) (*.f64 1/6 x))
(neg.f64 (neg.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (*.f64 1/6 x))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)

Compiler

Compiled 5 to 3 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(*.f64 (sinh.f64 y) x)
✓	14.6b	(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))
0.0ms	y	@	-inf	(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))
0.0ms	y	@	0	(*.f64 (sinh.f64 y) x)
0.0ms	x	@	inf	(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))
0.0ms	x	@	-inf	(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`rational.json-simplify-50`
1292×	`rational.json-1`
1292×	`rational.json-2`
1292×	`rational.json-4`
1292×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	78	28
2	183	28
3	419	16
4	1327	16
5	4457	16

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

Inputs
(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) (/.f64 x (/.f64 2 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) (/.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) (+.f64 (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)) (/.f64 x (/.f64 2 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) (+.f64 (/.f64 0 x) (/.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) (+.f64 (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)) (/.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 2 0)) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sinh.f64 y) 1/2) (*.f64 (sinh.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sinh.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 2 (/.f64 x (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 4 (/.f64 x (sinh.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (/.f64 4 (*.f64 x (sinh.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (/.f64 8 (sinh.f64 y)) (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 2 (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 4 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (+.f64 x x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (*.f64 x 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 4 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (-.f64 0 (/.f64 1 (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 4 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 x 4))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) (neg.f64 x))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (sinh.f64 y) x)) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) x) 1/2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 1/2 (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (*.f64 x 1/2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 2 (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) (+.f64 x x))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (/.f64 1 x) 0)) (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (/.f64 1 x) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (/.f64 1 x) 0)) (*.f64 (/.f64 (/.f64 1 x) 0) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sinh.f64 y) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sinh.f64 y) (neg.f64 x)))) (*.f64 2 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) (/.f64 2 x))) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (/.f64 (sinh.f64 y) x))) (*.f64 2 (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (sinh.f64 y) (+.f64 x x)))) (*.f64 2 (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sinh.f64 y)) (*.f64 x 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sinh.f64 y)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sinh.f64 y) x) x) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) (*.f64 x 4))) (neg.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sinh.f64 y) (neg.f64 x)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 2 x))) (neg.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (+.f64 x x)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)) x) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 x 4)))) (neg.f64 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (/.f64 (sinh.f64 y) x))) (neg.f64 (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (sinh.f64 y) x) 1/2)) (-.f64 0 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/2 x)) (-.f64 0 (/.f64 1/2 (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) (*.f64 x 1/2))) (-.f64 0 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 2 (*.f64 (sinh.f64 y) (neg.f64 x))))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)))) (-.f64 0 (neg.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (+.f64 x x))))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)) x)) (-.f64 0 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (sinh.f64 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sinh.f64 y)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sinh.f64 y) (*.f64 x 1/2)) (*.f64 (sinh.f64 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sinh.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 0 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (-.f64 0 (/.f64 -2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 4 (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 2 (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (/.f64 4 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 4) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 4 (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (/.f64 8 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (*.f64 2 (/.f64 4 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 2 (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (/.f64 -2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 2 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (/.f64 -2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) 4)) (*.f64 2 (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 8)) (*.f64 2 (/.f64 8 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 4 (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x -2)) (*.f64 2 (/.f64 -2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (+.f64 x x))) (*.f64 2 (/.f64 -2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 1/2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 1/2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (*.f64 x 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (-.f64 0 (/.f64 4 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (sinh.f64 y))) (neg.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (-.f64 0 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 2 x))) (-.f64 0 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) (neg.f64 (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (-.f64 0 (neg.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 8)) (-.f64 0 (/.f64 8 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (/.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) 1/2)) (-.f64 0 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sinh.f64 y) 4))) (-.f64 0 (*.f64 2 (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (-.f64 0 (/.f64 1/2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 (sinh.f64 y)))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 (sinh.f64 y)))) (-.f64 0 (neg.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (sinh.f64 y)))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sinh.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 -1 x)))))))

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1128×	`rational.json-simplify-44`
1128×	`rational.json-simplify-35`
1122×	`rational.json-simplify-53`
992×	`rational.json-simplify-47`
838×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	2778
1	1221	2742
2	5149	2724

Stop Event

1×	node limit

Counts

200 → 189

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/5040 (*.f64 (pow.f64 y 7) x)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(+.f64 (sinh.f64 y) 0)
(+.f64 (sinh.f64 y) (/.f64 x (/.f64 2 0)))
(+.f64 (sinh.f64 y) (/.f64 0 x))
(+.f64 (sinh.f64 y) (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)))
(+.f64 (sinh.f64 y) (+.f64 (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)) (/.f64 x (/.f64 2 0))))
(+.f64 (sinh.f64 y) (+.f64 (/.f64 0 x) (/.f64 0 x)))
(+.f64 (sinh.f64 y) (+.f64 (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)) (/.f64 0 x)))
(+.f64 0 (sinh.f64 y))
(+.f64 (/.f64 x (/.f64 2 0)) (sinh.f64 y))
(+.f64 (.f64 (sinh.f64 y) 1/2) (.f64 (sinh.f64 y) 1/2))
(+.f64 (/.f64 0 x) (sinh.f64 y))
(+.f64 (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)) (sinh.f64 y))
(-.f64 (sinh.f64 y) 0)
(/.f64 1 (/.f64 1 (sinh.f64 y)))
(/.f64 x (/.f64 x (sinh.f64 y)))
(/.f64 x (/.f64 (*.f64 2 (/.f64 x (sinh.f64 y))) 2))
(/.f64 x (/.f64 (*.f64 4 (/.f64 x (sinh.f64 y))) 4))
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (sinh.f64 y))))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 4 (*.f64 x (sinh.f64 y))) 4))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 8 (sinh.f64 y)) (*.f64 x 8)))
(/.f64 (sinh.f64 y) 1)
(/.f64 (*.f64 x (sinh.f64 y)) x)
(/.f64 2 (/.f64 2 (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(/.f64 (/.f64 2 x) (/.f64 2 (*.f64 x (sinh.f64 y))))
(/.f64 4 (/.f64 4 (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) (+.f64 x x)) (+.f64 x x))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 x))
(/.f64 -1 (neg.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (.f64 (sinh.f64 y) (.f64 x 4)) (*.f64 x 4))
(/.f64 (*.f64 (sinh.f64 y) 4) 4)
(/.f64 8 (*.f64 2 (/.f64 4 (sinh.f64 y))))
(/.f64 -2 (neg.f64 (/.f64 2 (sinh.f64 y))))
(/.f64 (/.f64 -1 x) (-.f64 0 (/.f64 1 (*.f64 x (sinh.f64 y)))))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 x))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) 8)
(/.f64 -4 (-.f64 0 (/.f64 4 (sinh.f64 y))))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (.f64 x 4))) (.f64 x 8))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (neg.f64 x))) (*.f64 x -2))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)) (/.f64 2 x))
(/.f64 (*.f64 4 (/.f64 (sinh.f64 y) x)) (/.f64 4 x))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) x) 1/2) (/.f64 1/2 x))
(/.f64 (*.f64 (sinh.f64 y) 1/2) 1/2)
(/.f64 (/.f64 1/2 x) (/.f64 1/2 (*.f64 x (sinh.f64 y))))
(/.f64 (.f64 (sinh.f64 y) (.f64 x 1/2)) (*.f64 x 1/2))
(/.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 2 (*.f64 x (sinh.f64 y)))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (+.f64 x x))) (neg.f64 (+.f64 x x)))
(/.f64 (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (/.f64 1 x) 0)) (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (/.f64 1 x) 0)))
(/.f64 (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (/.f64 1 x) 0)) (*.f64 (/.f64 (/.f64 1 x) 0) (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sinh.f64 y) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sinh.f64 y) (neg.f64 x)))) (.f64 2 (*.f64 x -2)))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (/.f64 2 x))) (/.f64 4 x))
(/.f64 (.f64 2 (.f64 4 (/.f64 (sinh.f64 y) x))) (*.f64 2 (/.f64 4 x)))
(/.f64 (.f64 2 (neg.f64 (.f64 (sinh.f64 y) (+.f64 x x)))) (*.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (/.f64 (.f64 x (sinh.f64 y)) (.f64 x 4)) 1/4)
(/.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 2 x)) 1/2)
(/.f64 (/.f64 (*.f64 x (sinh.f64 y)) (neg.f64 x)) -1)
(/.f64 (/.f64 (/.f64 (sinh.f64 y) x) x) (/.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (/.f64 -1 x))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 x 4))) (neg.f64 (*.f64 x 4)))
(/.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) (neg.f64 x)))) (+.f64 x x))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 2 x))) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (+.f64 x x)))) (+.f64 x x))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) x) (/.f64 2 (.f64 x x)))
(/.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) (.f64 x 4)))) (neg.f64 (.f64 x 8)))
(/.f64 (neg.f64 (*.f64 4 (/.f64 (sinh.f64 y) x))) (neg.f64 (/.f64 4 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sinh.f64 y) x) 1/2)) (-.f64 0 (/.f64 1/2 x)))
(/.f64 (neg.f64 (/.f64 1/2 x)) (-.f64 0 (/.f64 1/2 (*.f64 x (sinh.f64 y)))))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 x 1/2))) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (neg.f64 (.f64 2 (.f64 2 (.f64 (sinh.f64 y) (neg.f64 x))))) (-.f64 0 (.f64 2 (*.f64 x -2))))
(/.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) (/.f64 2 x)))) (neg.f64 (/.f64 4 x)))
(/.f64 (neg.f64 (.f64 2 (.f64 4 (/.f64 (sinh.f64 y) x)))) (-.f64 0 (*.f64 2 (/.f64 4 x))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 (sinh.f64 y) (+.f64 x x))))) (-.f64 0 (*.f64 2 (neg.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (sinh.f64 y) x) x)) (-.f64 0 (/.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sinh.f64 y) x))) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 x 4)))) (*.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 x 4)))) (-.f64 0 (neg.f64 (*.f64 x 4))))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) (neg.f64 x))))) (*.f64 x -2))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)))) (/.f64 2 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (+.f64 x x))))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (/.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) x)) (-.f64 0 (/.f64 2 (.f64 x x))))
(pow.f64 (sinh.f64 y) 1)
(neg.f64 (/.f64 (*.f64 x (sinh.f64 y)) (neg.f64 x)))
(sinh.f64 y)
(+.f64 (*.f64 x (sinh.f64 y)) 0)
(+.f64 0 (*.f64 x (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))))
(+.f64 (.f64 (sinh.f64 y) (.f64 x 1/2)) (.f64 (sinh.f64 y) (.f64 x 1/2)))
(-.f64 (*.f64 x (sinh.f64 y)) 0)
(-.f64 0 (*.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 x (sinh.f64 y))))
(/.f64 x (/.f64 1 (sinh.f64 y)))
(/.f64 x (-.f64 0 (/.f64 -1 (sinh.f64 y))))
(/.f64 (sinh.f64 y) (/.f64 1 x))
(/.f64 (*.f64 x (sinh.f64 y)) 1)
(/.f64 2 (/.f64 2 (*.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (/.f64 2 (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 0 (/.f64 -2 (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 x))
(/.f64 4 (/.f64 4 (*.f64 x (sinh.f64 y))))
(/.f64 4 (.f64 2 (/.f64 2 (.f64 x (sinh.f64 y)))))
(/.f64 (*.f64 x 4) (/.f64 4 (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) (+.f64 x x)) 2)
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (*.f64 x x)))
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 x (sinh.f64 y)))))
(/.f64 (neg.f64 x) (/.f64 -1 (sinh.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 (.f64 (sinh.f64 y) (.f64 x 4)) 4)
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 4 x))
(/.f64 8 (.f64 2 (/.f64 4 (.f64 x (sinh.f64 y)))))
(/.f64 (*.f64 x 8) (/.f64 8 (sinh.f64 y)))
(/.f64 (.f64 x 8) (.f64 2 (/.f64 4 (sinh.f64 y))))
(/.f64 -2 (-.f64 0 (/.f64 2 (*.f64 x (sinh.f64 y)))))
(/.f64 (*.f64 x -2) (/.f64 -2 (sinh.f64 y)))
(/.f64 (.f64 x -2) (.f64 2 (/.f64 -1 (sinh.f64 y))))
(/.f64 (neg.f64 (+.f64 x x)) (/.f64 -2 (sinh.f64 y)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) -1)
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) (*.f64 2 (/.f64 4 x)))
(/.f64 (.f64 2 (.f64 x 8)) (*.f64 2 (/.f64 8 (sinh.f64 y))))
(/.f64 -4 (-.f64 0 (/.f64 4 (*.f64 x (sinh.f64 y)))))
(/.f64 (.f64 2 (.f64 x -2)) (*.f64 2 (/.f64 -2 (sinh.f64 y))))
(/.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 2 (/.f64 -2 (sinh.f64 y))))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (*.f64 x 4))) 8)
(/.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) (/.f64 2 (.f64 x x)))
(/.f64 (*.f64 (sinh.f64 y) 1/2) (/.f64 1/2 x))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sinh.f64 y)))
(/.f64 (.f64 (sinh.f64 y) (.f64 x 1/2)) 1/2)
(/.f64 (neg.f64 (*.f64 x 4)) (-.f64 0 (/.f64 4 (sinh.f64 y))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 x))
(/.f64 (*.f64 2 (neg.f64 (sinh.f64 y))) (neg.f64 (/.f64 2 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sinh.f64 y) (.f64 x 4)))) 16)
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (-.f64 0 (/.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) (/.f64 2 x))) (-.f64 0 (/.f64 2 (.f64 x x))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) (neg.f64 (/.f64 4 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 2 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (*.f64 x 8)) (-.f64 0 (/.f64 8 (sinh.f64 y))))
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (/.f64 1 x))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 -1 x)) -1)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 1/2)) (-.f64 0 (/.f64 1/2 x)))
(/.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) 4))) (-.f64 0 (*.f64 2 (/.f64 4 x))))
(/.f64 (neg.f64 (*.f64 x 1/2)) (-.f64 0 (/.f64 1/2 (sinh.f64 y))))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (sinh.f64 y)))) (/.f64 2 x))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (sinh.f64 y)))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sinh.f64 y)))) (/.f64 -1 x))
(pow.f64 (*.f64 x (sinh.f64 y)) 1)
(neg.f64 (*.f64 (sinh.f64 y) (neg.f64 x)))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 -1 x)))

Outputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(+.f64 (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5)))) (*.f64 1/5040 (pow.f64 y 7)))
(+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 y x) (.f64 (pow.f64 y 3) (*.f64 1/6 x)))
(.f64 x (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/120 (*.f64 (pow.f64 y 5) x))))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 3) (.f64 1/6 x)) (.f64 1/120 (*.f64 (pow.f64 y 5) x))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 1/6 x)) (.f64 x (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/5040 (*.f64 (pow.f64 y 7) x)))))
(+.f64 (.f64 y x) (+.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/5040 (.f64 (pow.f64 y 7) x))) (.f64 1/120 (*.f64 (pow.f64 y 5) x))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 (pow.f64 y 3) (.f64 1/6 x)) (.f64 1/5040 (*.f64 (pow.f64 y 7) x)))))
(+.f64 (+.f64 (.f64 (pow.f64 y 3) (.f64 1/6 x)) (.f64 1/5040 (.f64 (pow.f64 y 7) x))) (.f64 x (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 x))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(+.f64 (sinh.f64 y) (/.f64 x (/.f64 2 0)))
(sinh.f64 y)
(+.f64 (sinh.f64 y) (/.f64 0 x))
(sinh.f64 y)
(+.f64 (sinh.f64 y) (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)))
(sinh.f64 y)
(+.f64 (sinh.f64 y) (+.f64 (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)) (/.f64 x (/.f64 2 0))))
(sinh.f64 y)
(+.f64 (sinh.f64 y) (+.f64 (/.f64 0 x) (/.f64 0 x)))
(sinh.f64 y)
(+.f64 (sinh.f64 y) (+.f64 (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)) (/.f64 0 x)))
(sinh.f64 y)
(+.f64 0 (sinh.f64 y))
(sinh.f64 y)
(+.f64 (/.f64 x (/.f64 2 0)) (sinh.f64 y))
(sinh.f64 y)
(+.f64 (.f64 (sinh.f64 y) 1/2) (.f64 (sinh.f64 y) 1/2))
(sinh.f64 y)
(+.f64 (/.f64 0 x) (sinh.f64 y))
(sinh.f64 y)
(+.f64 (+.f64 (/.f64 x (/.f64 2 0)) (/.f64 0 x)) (sinh.f64 y))
(sinh.f64 y)
(-.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 1 (/.f64 1 (sinh.f64 y)))
(sinh.f64 y)
(/.f64 x (/.f64 x (sinh.f64 y)))
(sinh.f64 y)
(/.f64 x (/.f64 (*.f64 2 (/.f64 x (sinh.f64 y))) 2))
(sinh.f64 y)
(/.f64 x (/.f64 (*.f64 4 (/.f64 x (sinh.f64 y))) 4))
(sinh.f64 y)
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (/.f64 1 x) (/.f64 (/.f64 4 (*.f64 x (sinh.f64 y))) 4))
(sinh.f64 y)
(/.f64 (/.f64 1 x) (/.f64 (/.f64 8 (sinh.f64 y)) (*.f64 x 8)))
(sinh.f64 y)
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (*.f64 x (sinh.f64 y)) x)
(sinh.f64 y)
(/.f64 2 (/.f64 2 (sinh.f64 y)))
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(sinh.f64 y)
(/.f64 (/.f64 2 x) (/.f64 2 (*.f64 x (sinh.f64 y))))
(sinh.f64 y)
(/.f64 4 (/.f64 4 (sinh.f64 y)))
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) (+.f64 x x)) (+.f64 x x))
(sinh.f64 y)
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 x))
(sinh.f64 y)
(/.f64 -1 (neg.f64 (/.f64 1 (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (neg.f64 x) (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y)))
(/.f64 (.f64 (sinh.f64 y) (.f64 x 4)) (*.f64 x 4))
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 4) 4)
(sinh.f64 y)
(/.f64 8 (*.f64 2 (/.f64 4 (sinh.f64 y))))
(sinh.f64 y)
(/.f64 -2 (neg.f64 (/.f64 2 (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (/.f64 -1 x) (-.f64 0 (/.f64 1 (*.f64 x (sinh.f64 y)))))
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 x))
(sinh.f64 y)
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) 8)
(sinh.f64 y)
(/.f64 -4 (-.f64 0 (/.f64 4 (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (.f64 x 4))) (.f64 x 8))
(sinh.f64 y)
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (neg.f64 x))) (*.f64 x -2))
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)) (/.f64 2 x))
(sinh.f64 y)
(/.f64 (*.f64 4 (/.f64 (sinh.f64 y) x)) (/.f64 4 x))
(sinh.f64 y)
(/.f64 (*.f64 (/.f64 (sinh.f64 y) x) 1/2) (/.f64 1/2 x))
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 1/2) 1/2)
(sinh.f64 y)
(/.f64 (/.f64 1/2 x) (/.f64 1/2 (*.f64 x (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (.f64 (sinh.f64 y) (.f64 x 1/2)) (*.f64 x 1/2))
(sinh.f64 y)
(/.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 2 (*.f64 x (sinh.f64 y)))))
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (+.f64 x x))) (neg.f64 (+.f64 x x)))
(sinh.f64 y)
(/.f64 (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (/.f64 1 x) 0)) (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (/.f64 1 x) 0)))
(sinh.f64 y)
(/.f64 (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (/.f64 1 x) 0)) (*.f64 (/.f64 (/.f64 1 x) 0) (/.f64 1 (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sinh.f64 y) 4))) 16)
(sinh.f64 y)
(/.f64 (.f64 2 (.f64 2 (.f64 (sinh.f64 y) (neg.f64 x)))) (.f64 2 (*.f64 x -2)))
(sinh.f64 y)
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (/.f64 2 x))) (/.f64 4 x))
(sinh.f64 y)
(/.f64 (.f64 2 (.f64 4 (/.f64 (sinh.f64 y) x))) (*.f64 2 (/.f64 4 x)))
(.f64 (.f64 4 (/.f64 (sinh.f64 y) x)) (/.f64 2 (*.f64 2 (/.f64 4 x))))
(.f64 (.f64 4 (/.f64 (sinh.f64 y) x)) (/.f64 1 (/.f64 4 x)))
(.f64 (.f64 4 (/.f64 (sinh.f64 y) x)) (/.f64 (/.f64 x 2) 2))
(/.f64 (.f64 2 (neg.f64 (.f64 (sinh.f64 y) (+.f64 x x)))) (*.f64 2 (neg.f64 (+.f64 x x))))
(sinh.f64 y)
(/.f64 (/.f64 (.f64 x (sinh.f64 y)) (.f64 x 4)) 1/4)
(sinh.f64 y)
(/.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 2 x)) 1/2)
(sinh.f64 y)
(/.f64 (/.f64 (*.f64 x (sinh.f64 y)) (neg.f64 x)) -1)
(sinh.f64 y)
(/.f64 (/.f64 (/.f64 (sinh.f64 y) x) x) (/.f64 1 (*.f64 x x)))
(sinh.f64 y)
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (/.f64 -1 x))
(sinh.f64 y)
(/.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 x 4))) (neg.f64 (*.f64 x 4)))
(sinh.f64 y)
(/.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) (neg.f64 x)))) (+.f64 x x))
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 2 x))) (neg.f64 (/.f64 2 x)))
(sinh.f64 y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (+.f64 x x)))) (+.f64 x x))
(sinh.f64 y)
(/.f64 (/.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) x) (/.f64 2 (.f64 x x)))
(sinh.f64 y)
(/.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) (.f64 x 4)))) (neg.f64 (.f64 x 8)))
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 4 (/.f64 (sinh.f64 y) x))) (neg.f64 (/.f64 4 x)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) x) -4) (/.f64 -4 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sinh.f64 y) x) 1/2)) (-.f64 0 (/.f64 1/2 x)))
(sinh.f64 y)
(/.f64 (neg.f64 (/.f64 1/2 x)) (-.f64 0 (/.f64 1/2 (*.f64 x (sinh.f64 y)))))
(sinh.f64 y)
(/.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 x 1/2))) (-.f64 0 (*.f64 x 1/2)))
(sinh.f64 y)
(/.f64 (neg.f64 (.f64 2 (.f64 2 (.f64 (sinh.f64 y) (neg.f64 x))))) (-.f64 0 (.f64 2 (*.f64 x -2))))
(sinh.f64 y)
(/.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) (/.f64 2 x)))) (neg.f64 (/.f64 4 x)))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 (/.f64 2 x) 2))) (neg.f64 (/.f64 4 x)))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (/.f64 -2 x))) (/.f64 -4 x))
(/.f64 (neg.f64 (.f64 2 (.f64 4 (/.f64 (sinh.f64 y) x)))) (-.f64 0 (*.f64 2 (/.f64 4 x))))
(.f64 (.f64 4 (/.f64 (sinh.f64 y) x)) (/.f64 2 (*.f64 2 (/.f64 4 x))))
(.f64 (.f64 4 (/.f64 (sinh.f64 y) x)) (/.f64 1 (/.f64 4 x)))
(.f64 (.f64 4 (/.f64 (sinh.f64 y) x)) (/.f64 (/.f64 x 2) 2))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 (sinh.f64 y) (+.f64 x x))))) (-.f64 0 (*.f64 2 (neg.f64 (+.f64 x x)))))
(sinh.f64 y)
(/.f64 (neg.f64 (/.f64 (/.f64 (sinh.f64 y) x) x)) (-.f64 0 (/.f64 1 (*.f64 x x))))
(sinh.f64 y)
(/.f64 (neg.f64 (neg.f64 (/.f64 (sinh.f64 y) x))) (/.f64 1 x))
(sinh.f64 y)
(/.f64 (neg.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 x 4)))) (*.f64 x 4))
(sinh.f64 y)
(/.f64 (neg.f64 (neg.f64 (.f64 (sinh.f64 y) (.f64 x 4)))) (-.f64 0 (neg.f64 (*.f64 x 4))))
(sinh.f64 y)
(/.f64 (neg.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) (neg.f64 x))))) (*.f64 x -2))
(sinh.f64 y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)))) (/.f64 2 x))
(sinh.f64 y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 2 x)))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(sinh.f64 y)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (+.f64 x x))))) (neg.f64 (+.f64 x x)))
(sinh.f64 y)
(/.f64 (neg.f64 (/.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) x)) (-.f64 0 (/.f64 2 (.f64 x x))))
(sinh.f64 y)
(pow.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(neg.f64 (/.f64 (*.f64 x (sinh.f64 y)) (neg.f64 x)))
(sinh.f64 y)
(sinh.f64 y)
(+.f64 (*.f64 x (sinh.f64 y)) 0)
(*.f64 x (sinh.f64 y))
(+.f64 0 (*.f64 x (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))))
(*.f64 x (sinh.f64 y))
(+.f64 (.f64 (sinh.f64 y) (.f64 x 1/2)) (.f64 (sinh.f64 y) (.f64 x 1/2)))
(*.f64 x (sinh.f64 y))
(-.f64 (*.f64 x (sinh.f64 y)) 0)
(*.f64 x (sinh.f64 y))
(-.f64 0 (*.f64 (sinh.f64 y) (neg.f64 x)))
(*.f64 x (sinh.f64 y))
(/.f64 1 (/.f64 1 (*.f64 x (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 x (/.f64 1 (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(/.f64 x (-.f64 0 (/.f64 -1 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (sinh.f64 y) (/.f64 1 x))
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 x (sinh.f64 y)) 1)
(*.f64 x (sinh.f64 y))
(/.f64 2 (/.f64 2 (*.f64 x (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (+.f64 x x) (/.f64 2 (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(/.f64 (+.f64 x x) (-.f64 0 (/.f64 -2 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 x))
(*.f64 x (sinh.f64 y))
(/.f64 4 (/.f64 4 (*.f64 x (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 4 (.f64 2 (/.f64 2 (.f64 x (sinh.f64 y)))))
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 x 4) (/.f64 4 (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (+.f64 x x)) 2)
(*.f64 x (sinh.f64 y))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (*.f64 x x)))
(*.f64 x (sinh.f64 y))
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 x (sinh.f64 y)))))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 x) (/.f64 -1 (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (.f64 (sinh.f64 y) (.f64 x 4)) 4)
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 4 x))
(*.f64 x (sinh.f64 y))
(/.f64 8 (.f64 2 (/.f64 4 (.f64 x (sinh.f64 y)))))
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 x 8) (/.f64 8 (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(/.f64 (.f64 x 8) (.f64 2 (/.f64 4 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 -2 (-.f64 0 (/.f64 2 (*.f64 x (sinh.f64 y)))))
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 x -2) (/.f64 -2 (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(/.f64 (.f64 x -2) (.f64 2 (/.f64 -1 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (+.f64 x x)) (/.f64 -2 (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 2 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) -1)
(*.f64 x (sinh.f64 y))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) (*.f64 2 (/.f64 4 x)))
(/.f64 (.f64 (sinh.f64 y) 8) (.f64 2 (/.f64 4 x)))
(.f64 8 (/.f64 (sinh.f64 y) (.f64 2 (/.f64 4 x))))
(/.f64 (.f64 2 (.f64 x 8)) (*.f64 2 (/.f64 8 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 -4 (-.f64 0 (/.f64 4 (*.f64 x (sinh.f64 y)))))
(*.f64 x (sinh.f64 y))
(/.f64 (.f64 2 (.f64 x -2)) (*.f64 2 (/.f64 -2 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 2 (/.f64 -2 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) (*.f64 x 4))) 8)
(*.f64 x (sinh.f64 y))
(/.f64 (.f64 (sinh.f64 y) (/.f64 2 x)) (/.f64 2 (.f64 x x)))
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 (sinh.f64 y) 1/2) (/.f64 1/2 x))
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 x 1/2) (/.f64 1/2 (sinh.f64 y)))
(*.f64 x (sinh.f64 y))
(/.f64 (.f64 (sinh.f64 y) (.f64 x 1/2)) 1/2)
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (*.f64 x 4)) (-.f64 0 (/.f64 4 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (/.f64 2 x)))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 x))
(*.f64 x (sinh.f64 y))
(/.f64 (*.f64 2 (neg.f64 (sinh.f64 y))) (neg.f64 (/.f64 2 x)))
(*.f64 x (sinh.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (sinh.f64 y) (.f64 x 4)))) 16)
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (-.f64 0 (/.f64 1 (*.f64 x x))))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) (/.f64 2 x))) (-.f64 0 (/.f64 2 (.f64 x x))))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) (neg.f64 (/.f64 4 x)))
(/.f64 (*.f64 (sinh.f64 y) -4) (/.f64 -4 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 2 x))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (*.f64 x 8)) (-.f64 0 (/.f64 8 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (/.f64 1 x))
(*.f64 x (sinh.f64 y))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 -1 x)) -1)
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 1/2)) (-.f64 0 (/.f64 1/2 x)))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (.f64 2 (.f64 (sinh.f64 y) 4))) (-.f64 0 (*.f64 2 (/.f64 4 x))))
(/.f64 (.f64 (sinh.f64 y) 8) (.f64 2 (/.f64 4 x)))
(.f64 8 (/.f64 (sinh.f64 y) (.f64 2 (/.f64 4 x))))
(/.f64 (neg.f64 (*.f64 x 1/2)) (-.f64 0 (/.f64 1/2 (sinh.f64 y))))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (sinh.f64 y)))) (/.f64 2 x))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (sinh.f64 y)))) (-.f64 0 (neg.f64 (/.f64 2 x))))
(*.f64 x (sinh.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sinh.f64 y)))) (/.f64 -1 x))
(*.f64 x (sinh.f64 y))
(pow.f64 (*.f64 x (sinh.f64 y)) 1)
(*.f64 x (sinh.f64 y))
(neg.f64 (*.f64 (sinh.f64 y) (neg.f64 x)))
(*.f64 x (sinh.f64 y))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 -1 x)))
(*.f64 x (sinh.f64 y))

eval390.0ms (2.5%)

Compiler: Compiled 11478 to 6589 computations (42.6% saved)

prune450.0ms (2.9%)

Pruning

34 alts after pruning (24 fresh and 10 done)

	Pruned	Kept	Total
New	880	14	894
Fresh	0	10	10
Picked	1	0	1
Done	1	10	11
Total	882	34	916

Error

Counts

916 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	44.8b	(/.f64 (/.f64 (.f64 y 4) x) (.f64 x (/.f64 4 (*.f64 x x))))
✓	30.2b	(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
	39.3b	(/.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 x y) (.f64 2 (/.f64 x y)))) (/.f64 1/2 (/.f64 x y)))
	15.8b	(/.f64 (/.f64 y (/.f64 1 (sin.f64 x))) x)
	45.0b	(/.f64 (/.f64 y (/.f64 1 x)) x)
	30.9b	(/.f64 (/.f64 y (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
✓	1.5b	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
	18.1b	(/.f64 (/.f64 y x) (/.f64 1 x))
	16.5b	(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
✓	14.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	15.7b	(/.f64 (*.f64 (sin.f64 x) y) x)
✓	45.0b	(/.f64 (*.f64 y x) x)
	43.9b	(/.f64 (.f64 x (/.f64 2 y)) (.f64 (.f64 2 (/.f64 x y)) (/.f64 x (.f64 y (sin.f64 x)))))
✓	1.4b	(/.f64 y (/.f64 x (sin.f64 x)))
	47.3b	(/.f64 y (.f64 (.f64 1/6 x) x))
	16.2b	(/.f64 x (/.f64 x (sinh.f64 y)))
✓	2.1b	(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y))
	45.6b	(+.f64 (-.f64 y -1) -1)
	30.4b	(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
	41.8b	(.f64 (/.f64 (/.f64 2 y) x) (/.f64 x (.f64 (/.f64 1 y) (/.f64 2 y))))
	16.4b	(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)
	16.5b	(.f64 (/.f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) x) (+.f64 y y))
	16.5b	(.f64 (/.f64 (.f64 y (/.f64 2 x)) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)
	16.5b	(.f64 (/.f64 y x) (/.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x))))
	18.1b	(*.f64 (/.f64 y x) x)
	45.0b	(.f64 (/.f64 1 (.f64 x 4)) (.f64 y (.f64 x 4)))
✓	14.5b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
	45.0b	(.f64 (/.f64 1 x) (.f64 y x))
	17.9b	(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))
✓	1.4b	(*.f64 (sin.f64 x) (/.f64 y x))
✓	1.3b	(*.f64 y (/.f64 (sin.f64 x) x))
	16.5b	(.f64 4 (/.f64 y (.f64 x (.f64 4 (+.f64 (/.f64 1 x) (.f64 1/6 x))))))
✓	30.0b	(sinh.f64 y)
	30.6b	y

Compiler

Compiled 381 to 262 computations (31.2% saved)

regimes421.0ms (2.7%)

Counts

44 → 1

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)
(+.f64 (-.f64 y -1) -1)
(/.f64 (*.f64 y x) x)
(.f64 (/.f64 1 x) (.f64 y x))
(/.f64 y (.f64 (.f64 1/6 x) x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(/.f64 (/.f64 y (/.f64 1 x)) x)
(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 y (.f64 x 4)))
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
(/.f64 (/.f64 y (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
(.f64 (/.f64 y x) (/.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 (/.f64 (.f64 y 4) x) (.f64 x (/.f64 4 (*.f64 x x))))
(.f64 4 (/.f64 y (.f64 x (.f64 4 (+.f64 (/.f64 1 x) (.f64 1/6 x))))))
(.f64 (/.f64 (.f64 y (/.f64 2 x)) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)
(.f64 (/.f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) x) (+.f64 y y))
(.f64 (/.f64 (/.f64 2 y) x) (/.f64 x (.f64 (/.f64 1 y) (/.f64 2 y))))
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 x (/.f64 x (sinh.f64 y)))
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) y) x)
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 y (/.f64 1 (sin.f64 x))) x)
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) x)
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y))
(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
(/.f64 (.f64 x (/.f64 2 y)) (.f64 (.f64 2 (/.f64 x y)) (/.f64 x (.f64 y (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 x y) (.f64 2 (/.f64 x y)))) (/.f64 1/2 (/.f64 x y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
(/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)

Outputs
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))

Calls

4 calls:

361.0ms	x
19.0ms	y
19.0ms	(sinh.f64 y)
12.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
0.1b	1	`(sinh.f64 y)`

Compiler

Compiled 414 to 220 computations (46.9% saved)

regimes59.0ms (0.4%)

Counts

38 → 1

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)
(+.f64 (-.f64 y -1) -1)
(/.f64 (*.f64 y x) x)
(.f64 (/.f64 1 x) (.f64 y x))
(/.f64 y (.f64 (.f64 1/6 x) x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(/.f64 (/.f64 y (/.f64 1 x)) x)
(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 y (.f64 x 4)))
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
(/.f64 (/.f64 y (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
(.f64 (/.f64 y x) (/.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 (/.f64 (.f64 y 4) x) (.f64 x (/.f64 4 (*.f64 x x))))
(.f64 4 (/.f64 y (.f64 x (.f64 4 (+.f64 (/.f64 1 x) (.f64 1/6 x))))))
(.f64 (/.f64 (.f64 y (/.f64 2 x)) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)
(.f64 (/.f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) x) (+.f64 y y))
(.f64 (/.f64 (/.f64 2 y) x) (/.f64 x (.f64 (/.f64 1 y) (/.f64 2 y))))
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 x (/.f64 x (sinh.f64 y)))
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) y) x)
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 y (/.f64 1 (sin.f64 x))) x)
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) x)
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y))
(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
(/.f64 (.f64 x (/.f64 2 y)) (.f64 (.f64 2 (/.f64 x y)) (/.f64 x (.f64 y (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 x y) (.f64 2 (/.f64 x y)))) (/.f64 1/2 (/.f64 x y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

Calls

3 calls:

17.0ms	(sinh.f64 y)
17.0ms	x
17.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(sinh.f64 y)`

Compiler

Compiled 357 to 200 computations (44% saved)

regimes58.0ms (0.4%)

Counts

37 → 1

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)
(+.f64 (-.f64 y -1) -1)
(/.f64 (*.f64 y x) x)
(.f64 (/.f64 1 x) (.f64 y x))
(/.f64 y (.f64 (.f64 1/6 x) x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(/.f64 (/.f64 y (/.f64 1 x)) x)
(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 y (.f64 x 4)))
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
(/.f64 (/.f64 y (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
(.f64 (/.f64 y x) (/.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 (/.f64 (.f64 y 4) x) (.f64 x (/.f64 4 (*.f64 x x))))
(.f64 4 (/.f64 y (.f64 x (.f64 4 (+.f64 (/.f64 1 x) (.f64 1/6 x))))))
(.f64 (/.f64 (.f64 y (/.f64 2 x)) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)
(.f64 (/.f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) x) (+.f64 y y))
(.f64 (/.f64 (/.f64 2 y) x) (/.f64 x (.f64 (/.f64 1 y) (/.f64 2 y))))
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 x (/.f64 x (sinh.f64 y)))
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) y) x)
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(.f64 (/.f64 1 x) (.f64 (sinh.f64 y) x))
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 y (/.f64 1 (sin.f64 x))) x)
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) x)
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y))
(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (sinh.f64 y) (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
(/.f64 (.f64 x (/.f64 2 y)) (.f64 (.f64 2 (/.f64 x y)) (/.f64 x (.f64 y (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 x y) (.f64 2 (/.f64 x y)))) (/.f64 1/2 (/.f64 x y)))

Outputs
(*.f64 y (/.f64 (sin.f64 x) x))

Calls

3 calls:

17.0ms	(sinh.f64 y)
16.0ms	y
16.0ms	x

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`y`
1.3b	1	`(sinh.f64 y)`

Compiler

Compiled 350 to 198 computations (43.4% saved)

regimes38.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)
(+.f64 (-.f64 y -1) -1)
(/.f64 (*.f64 y x) x)
(.f64 (/.f64 1 x) (.f64 y x))
(/.f64 y (.f64 (.f64 1/6 x) x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(/.f64 (/.f64 y (/.f64 1 x)) x)
(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 y (.f64 x 4)))
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
(/.f64 (/.f64 y (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
(.f64 (/.f64 y x) (/.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x))))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 (/.f64 (.f64 y 4) x) (.f64 x (/.f64 4 (*.f64 x x))))
(.f64 4 (/.f64 y (.f64 x (.f64 4 (+.f64 (/.f64 1 x) (.f64 1/6 x))))))
(.f64 (/.f64 (.f64 y (/.f64 2 x)) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)
(.f64 (/.f64 (/.f64 1/2 (+.f64 (.f64 1/6 x) (/.f64 1 x))) x) (+.f64 y y))
(.f64 (/.f64 (/.f64 2 y) x) (/.f64 x (.f64 (/.f64 1 y) (/.f64 2 y))))
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)

Outputs
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)

Calls

3 calls:

14.0ms	(sinh.f64 y)
10.0ms	x
9.0ms	y

Results

Error	Segments	Branch
16.4b	1	`x`
16.4b	1	`y`
16.4b	1	`(sinh.f64 y)`

Compiler

Compiled 214 to 134 computations (37.4% saved)

regimes97.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)
(+.f64 (-.f64 y -1) -1)
(/.f64 (*.f64 y x) x)
(.f64 (/.f64 1 x) (.f64 y x))
(/.f64 y (.f64 (.f64 1/6 x) x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(/.f64 (/.f64 y (/.f64 1 x)) x)
(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 y (.f64 x 4)))
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
(/.f64 (/.f64 y (+.f64 (/.f64 1 x) (*.f64 x 1/6))) x)
(.f64 (/.f64 y x) (/.f64 1 (+.f64 (.f64 1/6 x) (/.f64 1 x))))

Outputs
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))

Calls

2 calls:

87.0ms	y
7.0ms	x

Results

Error	Segments	Branch
16.5b	1	`x`
16.5b	1	`y`

Compiler

Compiled 118 to 69 computations (41.5% saved)

regimes48.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)
(+.f64 (-.f64 y -1) -1)
(/.f64 (*.f64 y x) x)
(.f64 (/.f64 1 x) (.f64 y x))
(/.f64 y (.f64 (.f64 1/6 x) x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(/.f64 (/.f64 y (/.f64 1 x)) x)
(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 y (.f64 x 4)))

Outputs
(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))

Calls

2 calls:

40.0ms	x
5.0ms	y

Results

Error	Segments	Branch
17.9b	1	`x`
17.9b	1	`y`

Compiler

Compiled 72 to 41 computations (43.1% saved)

regimes17.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)
(+.f64 (-.f64 y -1) -1)
(/.f64 (*.f64 y x) x)
(.f64 (/.f64 1 x) (.f64 y x))
(/.f64 y (.f64 (.f64 1/6 x) x))
(/.f64 (/.f64 y x) (/.f64 1 x))
(/.f64 (/.f64 y (/.f64 1 x)) x)

Outputs
(*.f64 (/.f64 y x) x)
(/.f64 y (.f64 (.f64 1/6 x) x))

Calls

2 calls:

10.0ms	x
5.0ms	y

Results

Error	Segments	Branch
17.0b	2	`x`
18.1b	1	`y`

Compiler

Compiled 52 to 28 computations (46.2% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	2.6741747755352452e-20	3.550813703023323e-7

Results

22.0ms

160×

body

256

valid

Compiler

Compiled 194 to 130 computations (33% saved)

regimes13.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)
(+.f64 (-.f64 y -1) -1)
(/.f64 (*.f64 y x) x)
(.f64 (/.f64 1 x) (.f64 y x))

Outputs
(*.f64 (/.f64 y x) x)
(+.f64 (-.f64 y -1) -1)

Calls

2 calls:

7.0ms	x
4.0ms	y

Results

Error	Segments	Branch
17.0b	2	`x`
18.1b	1	`y`

Compiler

Compiled 31 to 17 computations (45.2% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	1.2184397059908374e+27	8.519179145670389e+32

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 158 to 118 computations (25.3% saved)

regimes7.0ms (0%)

Accuracy

Total -12.6b remaining (-69.9%)

Threshold costs -12.6b (-69.9%)

Counts

2 → 1

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)

Outputs
(*.f64 (/.f64 y x) x)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
18.1b	1	`x`
18.1b	1	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	242

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))
(if (<=.f64 x 6611313076017503/18889465931478580854784) (.f64 (/.f64 y x) x) (/.f64 y (.f64 (*.f64 1/6 x) x)))
(if (<=.f64 x 159999999999999993329915789312) (*.f64 (/.f64 y x) x) (+.f64 (-.f64 y -1) -1))
(*.f64 (/.f64 y x) x)
y

Outputs
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 1/6 x) (/.f64 1 x))) y)
(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
(.f64 (+.f64 x x) (.f64 y (/.f64 1/2 x)))
(if (<=.f64 x 6611313076017503/18889465931478580854784) (.f64 (/.f64 y x) x) (/.f64 y (.f64 (*.f64 1/6 x) x)))
(if (<=.f64 x 159999999999999993329915789312) (*.f64 (/.f64 y x) x) (+.f64 (-.f64 y -1) -1))
(*.f64 (/.f64 y x) x)
y

Compiler

Compiled 109 to 72 computations (33.9% saved)

soundness139.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

942×	`rational.json-simplify-1`
938×	`rational.json-simplify-48`
886×	`rational.json-simplify-44`
746×	`rational.json-simplify-43`
710×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	19	21
2	32	21
3	53	21
4	92	21
5	172	21
6	395	21
7	1021	21
8	1961	21
9	3440	21
10	6481	21
11	7504	21

Stop Event

1×	node limit

Compiler

Compiled 16 to 8 computations (50% saved)

end71.0ms (0.5%)

Compiler: Compiled 91 to 46 computations (49.5% saved)