Details

analyze148.0ms (1.1%)

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 (39.6%)

Results

1.5s	6938×	body	256	valid
1.3s	2006×	body	1024	infinite
745.0ms	1583×	body	256	infinite
545.0ms	1006×	body	512	infinite
534.0ms	606×	body	1024	valid
459.0ms	712×	body	512	valid
0.0ms	1×	body	2048	infinite

Bogosity

preprocess409.0ms (3.2%)

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)

simplify123.0ms (1%)

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
▶	12.6b	(/.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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series10.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`rational.json-simplify-1`
702×	`rational.json-simplify-44`
682×	`rational.json-simplify-35`
674×	`rational.json-simplify-49`
640×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	94	26
2	293	26
3	689	26
4	1744	26
5	6392	26

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

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(#(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 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (/.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 (sin.f64 x) (+.f64 x x)) (/.f64 1/2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (sin.f64 x) x)) (*.f64 2 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (*.f64 -1 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (sinh.f64 y)) (*.f64 (*.f64 2 (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y)))) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 4 (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (/.f64 x (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 x (neg.f64 (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sinh.f64 y) x) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (sin.f64 x))) (*.f64 2 (/.f64 x (neg.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (/.f64 x (sinh.f64 y))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 x (sin.f64 x))) 8)))) (#(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 1 (/.f64 1 (sin.f64 x))) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1 (sin.f64 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 2 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.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 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (/.f64 1 (sin.f64 x))) (/.f64 x (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (/.f64 x (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 1 (sin.f64 x))) (/.f64 (*.f64 x 4) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 1 (sin.f64 x))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (sin.f64 x))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.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 (sinh.f64 y) x) 4)) (/.f64 1 (sin.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 1 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.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 (sinh.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 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 x (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 2 (sin.f64 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (/.f64 x (sinh.f64 y))) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 2 (sin.f64 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((x /.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) 2) 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 (/.f64 (sin.f64 x) 1/2) (*.f64 2 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 2 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (*.f64 (sin.f64 x) (/.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 (sinh.f64 y) -1))))) (#(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 (sinh.f64 y) -1) -1)))) (#(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 1/4 (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 1/2) 2)))) (#(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 (*.f64 4 (neg.f64 (sinh.f64 y))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (neg.f64 (sinh.f64 y)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (sinh.f64 y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x or (sinh.f64 y) (sinh.f64 y))))))

simplify536.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1632×	`rational.json-simplify-35`
1420×	`rational.json-simplify-49`
950×	`rational.json-simplify-51`
882×	`rational.json-simplify-44`
796×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	4577
1	1533	4505
2	6578	4427

Stop Event

1×	node limit

Counts

201 → 205

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))
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 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(+.f64 (/.f64 (sin.f64 x) (.f64 2 (/.f64 x (sinh.f64 y)))) (/.f64 (sin.f64 x) (.f64 2 (/.f64 x (sinh.f64 y)))))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (sinh.f64 y) (*.f64 (/.f64 x (sin.f64 x)) 1))
(/.f64 (sinh.f64 y) (*.f64 -1 (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) x) (*.f64 (/.f64 1 (sin.f64 x)) 1))
(/.f64 (/.f64 (sinh.f64 y) x) (*.f64 1/2 (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(/.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) 1))
(/.f64 (.f64 (sinh.f64 y) 2) (.f64 x (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) 2) (.f64 (*.f64 x (/.f64 2 (sin.f64 x))) 1))
(/.f64 (.f64 (sinh.f64 y) 2) (.f64 -2 (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 2 (/.f64 (*.f64 2 (/.f64 x (sinh.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))))
(/.f64 2 (.f64 (/.f64 (.f64 2 (/.f64 x (sinh.f64 y))) (sin.f64 x)) 1))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) x) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) 2) x) (.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) 2) x) (.f64 (/.f64 2 (sin.f64 x)) 1))
(/.f64 (.f64 (sinh.f64 y) 4) (/.f64 (.f64 x 4) (sin.f64 x)))
(/.f64 (.f64 (sinh.f64 y) 4) (.f64 4 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) 4) (.f64 (*.f64 x 4) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) 4) (.f64 2 (*.f64 x (/.f64 2 (sin.f64 x)))))
(/.f64 (.f64 (sinh.f64 y) 4) (.f64 (+.f64 x x) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) 4) (.f64 -4 (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 4 (/.f64 (sin.f64 x) x)))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 2 (/.f64 x (sinh.f64 y))))
(/.f64 (.f64 (sin.f64 x) (/.f64 (.f64 (sinh.f64 y) 2) x)) 2)
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sin.f64 x))))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 x (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 x (neg.f64 (sin.f64 x))) 1))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (+.f64 x x)) (*.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 x (sinh.f64 y)) (.f64 (.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y))) (/.f64 1 (sin.f64 x))))
(/.f64 -1 (/.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (sin.f64 x)))
(/.f64 -1 (*.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 2 (/.f64 x (sinh.f64 y))) (.f64 (.f64 2 (.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y)))) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 2 (/.f64 x (sinh.f64 y))) (.f64 (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y))) (/.f64 2 (sin.f64 x))))
(/.f64 4 (.f64 2 (/.f64 (.f64 2 (/.f64 x (sinh.f64 y))) (sin.f64 x))))
(/.f64 4 (/.f64 (/.f64 (*.f64 x 4) (sinh.f64 y)) (sin.f64 x)))
(/.f64 4 (.f64 (/.f64 (.f64 x 4) (sinh.f64 y)) (/.f64 1 (sin.f64 x))))
(/.f64 4 (.f64 (.f64 2 (/.f64 x (sinh.f64 y))) (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) x) 4) (/.f64 4 (sin.f64 x)))
(/.f64 (.f64 (/.f64 (sinh.f64 y) x) 4) (.f64 4 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (/.f64 (sinh.f64 y) x) 4) (.f64 2 (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) 8) (/.f64 (.f64 x 8) (sin.f64 x)))
(/.f64 (.f64 (sinh.f64 y) 8) (.f64 8 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) 8) (.f64 (*.f64 x 8) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) 8) (.f64 4 (*.f64 x (/.f64 2 (sin.f64 x)))))
(/.f64 (.f64 (sin.f64 x) 4) (/.f64 (.f64 x 4) (sinh.f64 y)))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (/.f64 (*.f64 x 4) (sinh.f64 y)) 1))
(/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 (sinh.f64 y) x) 4)) 4)
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1/2 (sinh.f64 y)) (sin.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) (sin.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 x (sinh.f64 y)) (*.f64 (sin.f64 x) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(/.f64 (.f64 (sinh.f64 y) -2) (/.f64 (.f64 x -2) (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (neg.f64 (+.f64 x x)) (sin.f64 x)))
(/.f64 (.f64 (sinh.f64 y) -2) (.f64 (*.f64 x -2) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) -2) (.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) -2) (.f64 (neg.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) -2) (.f64 2 (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sinh.f64 y) x)) (/.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (/.f64 (sinh.f64 y) x) 4)) (*.f64 8 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 8)) (.f64 (.f64 2 (*.f64 x 8)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 (/.f64 (sinh.f64 y) x) 4))) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (.f64 2 (/.f64 (.f64 x 4) (sinh.f64 y))))
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (*.f64 8 (/.f64 x (sinh.f64 y))))
(/.f64 (/.f64 (sin.f64 x) (+.f64 x x)) (/.f64 1/2 (sinh.f64 y)))
(/.f64 (.f64 2 (/.f64 (sin.f64 x) x)) (.f64 2 (/.f64 1 (sinh.f64 y))))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 -1 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (*.f64 -1 (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 (.f64 x 4) (sinh.f64 y)) (.f64 (.f64 2 (.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y)))) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (sinh.f64 y) (/.f64 1/2 x)) (/.f64 1 (.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (sinh.f64 y) (/.f64 1/2 x)) (.f64 1/2 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (/.f64 x (sinh.f64 y)) (/.f64 (.f64 (sinh.f64 y) 2) x)) (/.f64 (*.f64 2 (/.f64 x (sinh.f64 y))) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) 1/2) (/.f64 x (.f64 (sinh.f64 y) 2)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 2 (/.f64 x (sinh.f64 y)))) 1/2)
(/.f64 (.f64 4 (neg.f64 (sinh.f64 y))) (.f64 (.f64 2 (.f64 x -2)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 4 (neg.f64 (sinh.f64 y))) (.f64 (*.f64 2 (neg.f64 (+.f64 x x))) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 4 (neg.f64 (sinh.f64 y))) (.f64 (neg.f64 (*.f64 x 4)) (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 4 (neg.f64 (sinh.f64 y))) (.f64 4 (/.f64 x (neg.f64 (sin.f64 x)))))
(/.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 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 (/.f64 (sinh.f64 y) x) 4)))) 16)
(/.f64 (.f64 2 (neg.f64 (sin.f64 x))) (.f64 2 (/.f64 x (neg.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (/.f64 x (sinh.f64 y))) 8)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 x (sin.f64 x))) 8)
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 x (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1 (sin.f64 x))) (+.f64 x x))
(/.f64 (/.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 2 (/.f64 x (sinh.f64 y))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (sin.f64 x))) (.f64 x 4))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sin.f64 x))) (/.f64 1 (sinh.f64 y)))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 x (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y))))
(/.f64 (/.f64 -1 (/.f64 1 (sin.f64 x))) (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 (/.f64 (.f64 2 (/.f64 x (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (.f64 2 (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y)))))
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 x))) (/.f64 (*.f64 x 4) (sinh.f64 y)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) 8) (/.f64 1 (sin.f64 x))) (.f64 x 8))
(/.f64 (/.f64 (.f64 (sinh.f64 y) -2) (/.f64 1 (sin.f64 x))) (.f64 x -2))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (sin.f64 x))) (neg.f64 (+.f64 x x)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (sinh.f64 y) x) 4)) (/.f64 1 (sin.f64 x))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 (sinh.f64 y) 8)) (/.f64 1 (sin.f64 x))) (.f64 2 (.f64 x 8)))
(/.f64 (/.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 1 (sin.f64 x))) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (.f64 2 (*.f64 x -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (neg.f64 (.f64 x 4)))
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 x (*.f64 (sinh.f64 y) 2)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) x)
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (/.f64 x (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 2 (sin.f64 x))) (+.f64 x x))
(/.f64 (/.f64 (.f64 2 (/.f64 x (sinh.f64 y))) (/.f64 2 (sin.f64 x))) (.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y))))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 x))) (*.f64 2 (/.f64 x (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 2 (sin.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 x 4) (sinh.f64 y)) (/.f64 2 (sin.f64 x))) (.f64 2 (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y)))))
(/.f64 (/.f64 (.f64 (/.f64 x (sinh.f64 y)) (/.f64 (.f64 (sinh.f64 y) 2) x)) (/.f64 2 (sin.f64 x))) (/.f64 x (sinh.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 x (neg.f64 (sin.f64 x)))) -1)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x (neg.f64 (sin.f64 x)))) -2)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 x (neg.f64 (sin.f64 x)))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 x (neg.f64 (sin.f64 x)))) 4)
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) x) (/.f64 2 (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 -1 (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 2 (/.f64 x (sinh.f64 y))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) 2)) (neg.f64 (.f64 2 (/.f64 x (sinh.f64 y)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 -1 (sinh.f64 y)))
(neg.f64 (/.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 1 (sin.f64 x))))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 x (neg.f64 (sin.f64 x)))))
(+.f64 (sinh.f64 y) 0)
(+.f64 0 (sinh.f64 y))
(+.f64 -1 (-.f64 (sinh.f64 y) -1))
(+.f64 (.f64 (sinh.f64 y) 1/2) (.f64 (sinh.f64 y) 1/2))
(+.f64 (-.f64 (sinh.f64 y) -1) -1)
(-.f64 (sinh.f64 y) 0)
(-.f64 0 (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) 2) 1/2)
(.f64 2 (.f64 (sinh.f64 y) 1/2))
(.f64 (.f64 (sinh.f64 y) 4) 1/4)
(*.f64 (neg.f64 (sinh.f64 y)) -1)
(*.f64 -1 (neg.f64 (sinh.f64 y)))
(*.f64 4 (/.f64 (sinh.f64 y) 4))
(.f64 (.f64 (sinh.f64 y) 8) 1/8)
(.f64 1/2 (.f64 (sinh.f64 y) 2))
(.f64 (.f64 (sinh.f64 y) -2) -1/2)
(.f64 1/4 (.f64 (sinh.f64 y) 4))
(.f64 (.f64 (sinh.f64 y) 1/2) 2)
(/.f64 (sinh.f64 y) 1)
(/.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 (*.f64 4 (neg.f64 (sinh.f64 y))) -4)
(/.f64 (neg.f64 (*.f64 4 (neg.f64 (sinh.f64 y)))) 4)
(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 -1/12 (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 (.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 -1/10080 (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)))
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(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 (*.f64 4 (neg.f64 (sinh.f64 y))) -4)
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 4 (neg.f64 (sinh.f64 y)))) 4)
(sinh.f64 y)
(neg.f64 (neg.f64 (sinh.f64 y)))
(sinh.f64 y)

localize8.0ms (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 (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
0.0ms	y	@	-inf	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
0.0ms	x	@	-inf	(/.f64 (sin.f64 x) x)
0.0ms	y	@	inf	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
0.0ms	x	@	0	(/.f64 (sin.f64 x) x)
0.0ms	x	@	0	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`rational.json-simplify-1`
678×	`rational.json-simplify-49`
664×	`rational.json-simplify-35`
660×	`rational.json-simplify-44`
620×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	94	32
2	293	32
3	694	32
4	1771	32
5	6292	32

Stop Event

1×	node limit

Counts

2 → 194

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 -1 (-.f64 1 (/.f64 (sin.f64 x) (neg.f64 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 0 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 (/.f64 1 (sin.f64 x)) (.f64 x (/.f64 (/.f64 x (sin.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 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(neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sin.f64 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (sin.f64 x) 2) (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (sin.f64 x) x) (.f64 (sinh.f64 y) 1/2)) (.f64 (/.f64 (sin.f64 x) x) (.f64 (sinh.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 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 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Outputs

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(*.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 (*.f64 (sinh.f64 y) 2) 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 (/.f64 (sinh.f64 y) 1/2) (*.f64 2 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (*.f64 2 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (/.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 neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))))))

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1738×	`rational.json-simplify-35`
968×	`rational.json-simplify-51`
822×	`rational.json-simplify-44`
784×	`rational.json-simplify-61`
688×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	5908
1	1699	5734
2	5855	5620

Stop Event

1×	node limit

Counts

222 → 260

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))))
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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 (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)
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(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))
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(-.f64 (/.f64 (sin.f64 x) x) 0)
(-.f64 0 (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 x (/.f64 (/.f64 1 (sin.f64 x)) (.f64 x (/.f64 (/.f64 x (sin.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 1 (*.f64 x 4)))
(.f64 (.f64 (sin.f64 x) 4) (*.f64 1/2 (/.f64 1/2 x)))
(.f64 (.f64 (sin.f64 x) 4) (.f64 (/.f64 1 (.f64 x 4)) 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 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (.f64 2 (*.f64 x (/.f64 (/.f64 x (sin.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 2 (/.f64 x (sin.f64 x))) (/.f64 1 (.f64 2 (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))))))
(.f64 (.f64 2 (/.f64 x (sin.f64 x))) (/.f64 1/2 (*.f64 x (/.f64 (/.f64 x (sin.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 4 (/.f64 x (sin.f64 x))) 1/4)
(.f64 (.f64 (sin.f64 x) 8) (/.f64 1 (*.f64 x 8)))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 (sin.f64 x) 2))
(.f64 (/.f64 1 (sin.f64 x)) (/.f64 x (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))))
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(.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 (sin.f64 x)) (/.f64 (+.f64 x x) (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) 2)
(.f64 (.f64 1/2 (/.f64 x (sin.f64 x))) (/.f64 2 (*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))))
(*.f64 1/4 (/.f64 4 (/.f64 x (sin.f64 x))))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 x (.f64 2 (*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))))))
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 2 x))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x)))))
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(neg.f64 (/.f64 (*.f64 (sin.f64 x) 2) (neg.f64 (+.f64 x x))))
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(/.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 (sinh.f64 y) (/.f64 x (sin.f64 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))
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(/.f64 2 (*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y))))
(/.f64 2 (*.f64 (/.f64 2 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 1))
(/.f64 (.f64 (sinh.f64 y) 2) (.f64 2 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 2 x) (sinh.f64 y))) 2)
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 x)) (/.f64 2 (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 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 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))) (/.f64 1 (sinh.f64 y))))
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (sinh.f64 y)))
(/.f64 -1 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
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(/.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 2 (/.f64 x (sin.f64 x))) (/.f64 2 (sinh.f64 y))))
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(/.f64 (.f64 (sinh.f64 y) 4) (.f64 (*.f64 (/.f64 x (sin.f64 x)) 4) 1))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 4 (/.f64 x (sin.f64 x)))) 4)
(/.f64 (/.f64 4 (/.f64 x (sin.f64 x))) (/.f64 4 (sinh.f64 y)))
(/.f64 (/.f64 4 (/.f64 x (sin.f64 x))) (*.f64 4 (/.f64 1 (sinh.f64 y))))
(/.f64 (/.f64 4 (/.f64 x (sin.f64 x))) (*.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) 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 -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) x) (sinh.f64 y)))
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 4)) (.f64 2 (.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 4 (/.f64 x (sin.f64 x))))) 8)
(/.f64 (.f64 2 (/.f64 4 (/.f64 x (sin.f64 x)))) (.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 2 (/.f64 (sinh.f64 y) x)) (.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 (.f64 (/.f64 x (sin.f64 x)) 4) (.f64 (.f64 2 (.f64 x (/.f64 (/.f64 x (sin.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 2 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))
(/.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 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 (neg.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 (.f64 2 (.f64 2 (*.f64 (sinh.f64 y) (/.f64 4 (/.f64 x (sin.f64 x)))))) 16)
(/.f64 (.f64 2 (neg.f64 (sinh.f64 y))) (.f64 2 (/.f64 (neg.f64 x) (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 2 (/.f64 x (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 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y))) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (.f64 2 (/.f64 x (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (.f64 2 (*.f64 x (/.f64 (/.f64 x (sin.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 4 (/.f64 x (sin.f64 x)))) (/.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 (.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 2 (/.f64 x (sin.f64 x))) (/.f64 2 (sinh.f64 y))) (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 4 (/.f64 2 (sinh.f64 y))) (*.f64 2 (/.f64 x (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 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 (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 (*.f64 (sinh.f64 y) 2) x) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 -1 (sin.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) 1/2) (*.f64 2 (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (sinh.f64 y) 2)) (neg.f64 (.f64 2 (/.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (/.f64 -1 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 1 (sinh.f64 y))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))

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

localize68.0ms (0.5%)

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))
✓	12.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite121.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`bool.json-1`
1704×	`bool.json-2`
1672×	`rational.json-1`
1672×	`rational.json-2`
1252×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	96	36
2	316	36
3	817	36
4	2381	36
5	5794	36

Stop Event

1×	node limit

Counts

2 → 59

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 (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 (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) (sinh.f64 y)) (/.f64 1 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 (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) x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (+.f64 x x)))))) (#(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 1/2 x) (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(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 (sinh.f64 y) 1/2) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (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 (/.f64 1 x) (*.f64 (sinh.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 2 (/.f64 x (sinh.f64 y)))) 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 (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 1 x) (*.f64 (sin.f64 x) 1/2)))))) (#(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 1 x) (*.f64 (sin.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 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 -1 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 (*.f64 (sin.f64 x) (/.f64 2 x)) (*.f64 (sinh.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 x (sinh.f64 y))) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 2 (/.f64 x (sinh.f64 y))))))) (#(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 2 (/.f64 x (sinh.f64 y)))))))) (#(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 (/.f64 1 x) 1/2) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (*.f64 (sinh.f64 y) 1/2)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) 1/2)) (*.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 (sin.f64 x) (sinh.f64 y)) (+.f64 x x)) 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 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 *.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (*.f64 (sin.f64 x) (sinh.f64 y)))))) (#(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 not (not (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (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) 2) (*.f64 (sinh.f64 y) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sinh.f64 y) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 (sin.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 (sin.f64 x) (sinh.f64 y)))))))

simplify182.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational.json-simplify-2`
1132×	`rational.json-simplify-51`
890×	`rational.json-simplify-1`
882×	`rational.json-simplify-46`
870×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	3589
1	474	3517
2	1050	3313
3	2374	3225
4	5546	3225
5	6879	3225
6	7910	3225

Stop Event

1×	node limit

Counts

107 → 130

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

eval677.0ms (5.2%)

Compiler: Compiled 10123 to 4792 computations (52.7% saved)

prune239.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	668	5	673
Fresh	0	0	0
Picked	0	1	1
Done	2	0	2
Total	670	6	676

Error

0.0b

Counts

676 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
▶	13.8b	(/.f64 (*.f64 (sin.f64 x) y) x)
▶	1.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
▶	30.5b	(*.f64 (sinh.f64 y) 1)
▶	1.2b	(*.f64 (sin.f64 x) (/.f64 y x))
▶	1.2b	(*.f64 y (/.f64 (sin.f64 x) x))

Compiler

Compiled 87 to 58 computations (33.3% saved)

localize7.0ms (0.1%)

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)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`rational.json-simplify-1`
656×	`rational.json-simplify-49`
656×	`rational.json-simplify-44`
638×	`rational.json-simplify-35`
618×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	85	17
2	274	17
3	658	17
4	1696	17
5	6139	17

Stop Event

1×	node limit

Counts

1 → 138

Calls

Call 1

Inputs
(*.f64 y (/.f64 (sin.f64 x) 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 (sin.f64 x) (/.f64 1/2 x))) (*.f64 y (*.f64 (sin.f64 x) (/.f64 1/2 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 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 x (neg.f64 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)))))) 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simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1584×	`rational.json-simplify-35`
836×	`rational.json-simplify-51`
794×	`rational.json-simplify-61`
728×	`rational.json-simplify-44`
644×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	3274
1	1396	3202
2	5083	3150
3	7395	3150

Stop Event

1×	node limit

Counts

162 → 162

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 (sin.f64 x) (/.f64 1/2 x))) (.f64 y (.f64 (sin.f64 x) (/.f64 1/2 x))))
(-.f64 (*.f64 (sin.f64 x) (/.f64 y 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 x (neg.f64 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 (sin.f64 x) (/.f64 y x)) 1)
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 1 (.f64 (/.f64 x (.f64 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 (/.f64 2 y)) 1))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 -2 (/.f64 x (neg.f64 y))))
(/.f64 2 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 y)))
(/.f64 2 (.f64 2 (/.f64 x (.f64 y (sin.f64 x)))))
(/.f64 2 (.f64 (.f64 (/.f64 x (sin.f64 x)) (/.f64 2 y)) 1))
(/.f64 (.f64 y (.f64 (sin.f64 x) (/.f64 2 x))) 2)
(/.f64 (+.f64 y y) (/.f64 x (*.f64 (sin.f64 x) 1/2)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 x)) (/.f64 2 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 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 x (neg.f64 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 x (neg.f64 y)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 x (neg.f64 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 x (neg.f64 (sin.f64 x))) y))
(/.f64 -1 (*.f64 (/.f64 x (neg.f64 (sin.f64 x))) (/.f64 1 y)))
(/.f64 (/.f64 x (.f64 (sin.f64 x) 1/2)) (.f64 (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (.f64 (sin.f64 x) 1/2))) (/.f64 1 y)))
(/.f64 (/.f64 x (.f64 (sin.f64 x) 1/2)) (.f64 (*.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))) (/.f64 2 y)))
(/.f64 4 (.f64 2 (.f64 (/.f64 x (sin.f64 x)) (/.f64 2 y))))
(/.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 (sin.f64 x) 1/2)) (/.f64 2 y)))
(/.f64 (/.f64 4 (/.f64 x (sin.f64 x))) (/.f64 4 y))
(/.f64 (/.f64 4 (/.f64 x (sin.f64 x))) (*.f64 4 (/.f64 1 y)))
(/.f64 (/.f64 4 (/.f64 x (sin.f64 x))) (*.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 4) (/.f64 (.f64 x 4) (sin.f64 x)))
(/.f64 (.f64 y 4) (.f64 (/.f64 (*.f64 x 4) (sin.f64 x)) 1))
(/.f64 (*.f64 y (/.f64 4 (/.f64 x (sin.f64 x)))) 4)
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1/2 (sin.f64 x)) y))
(/.f64 1/2 (/.f64 (/.f64 (*.f64 x 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 (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 x (neg.f64 y))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 (.f64 2 (.f64 y (/.f64 4 (/.f64 x (sin.f64 x))))) 8)
(/.f64 (.f64 2 (.f64 y 4)) (.f64 2 (/.f64 (.f64 x 4) (sin.f64 x))))
(/.f64 (.f64 2 (.f64 y 4)) (*.f64 8 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 2 (/.f64 4 (/.f64 x (sin.f64 x)))) (.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 1/2 x)) (/.f64 1/2 (sin.f64 x)))
(/.f64 (.f64 2 (/.f64 y x)) (.f64 2 (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 (.f64 x 4) (sin.f64 x)) (.f64 (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (.f64 (sin.f64 x) 1/2))) (/.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 (sin.f64 x)) (/.f64 2 y)))
(/.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 (.f64 x 1/2) (sin.f64 x)))
(/.f64 (.f64 y (.f64 (sin.f64 x) (/.f64 1/2 x))) 1/2)
(/.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 (.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 x (neg.f64 y))))
(/.f64 (.f64 2 (.f64 2 (*.f64 y (/.f64 4 (/.f64 x (sin.f64 x)))))) 16)
(/.f64 (.f64 2 (neg.f64 y)) (.f64 2 (/.f64 x (neg.f64 (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 (sin.f64 x) 1/2)))
(/.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)) (/.f64 x (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 x (.f64 (sin.f64 x) 1/2)) (/.f64 1 y)) (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (*.f64 (sin.f64 x) 1/2))))
(/.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 4 (/.f64 x (sin.f64 x)))) (/.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 1 (/.f64 2 y)) (/.f64 (*.f64 x 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 (sin.f64 x) 1/2)) (/.f64 2 y)) (.f64 x (/.f64 (/.f64 x (sin.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 4 (/.f64 2 y)) (/.f64 x (*.f64 (sin.f64 x) 1/2)))
(/.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 (/.f64 x (sin.f64 x)) (/.f64 x (*.f64 (sin.f64 x) 1/2))))
(/.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 x (neg.f64 y))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 x (neg.f64 y))) -2)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 x (neg.f64 y))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 x))) (/.f64 x (neg.f64 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 (sin.f64 x) 1/2)))
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (/.f64 x (*.f64 (sin.f64 x) 1/2))))
(/.f64 (neg.f64 (/.f64 y x)) (/.f64 -1 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x y)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 1 y)))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 y))))

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

localize4.0ms (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)

localize8.0ms (0.1%)

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)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`rational.json-simplify-44`
674×	`rational.json-simplify-1`
656×	`rational.json-simplify-35`
652×	`rational.json-simplify-49`
638×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	85	17
2	274	17
3	653	17
4	1667	17
5	6233	17

Stop Event

1×	node limit

Counts

1 → 135

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 (/.f64 1/2 x))) (*.f64 (sin.f64 x) (*.f64 y (/.f64 1/2 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))))))) 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egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 y)) (*.f64 (*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 y)) (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 (+.f64 x x) (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (/.f64 x y) 4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 (/.f64 x y) 4) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 x (/.f64 2 y)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) x) (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) x) (*.f64 4 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) x) (*.f64 2 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 8) (/.f64 (*.f64 x 8) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 8) (*.f64 8 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 8) (*.f64 (*.f64 x 8) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 8) (*.f64 4 (*.f64 x (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 y 4) x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 4) (*.f64 (*.f64 (/.f64 x y) 4) 1))))) (#(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 1/2 x) (/.f64 (/.f64 1/2 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (*.f64 x (/.f64 1/2 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 x y) 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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)) (neg.f64 (*.f64 x (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y (neg.f64 x)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 x (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (sin.f64 x) (/.f64 y x)))))))

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-35`
1470×	`rational.json-simplify-2`
768×	`rational.json-simplify-51`
736×	`rational.json-simplify-61`
728×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	3079
1	1358	3063
2	4975	3027
3	7341	3027

Stop Event

1×	node limit

Counts

159 → 166

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 (/.f64 1/2 x))) (.f64 (sin.f64 x) (.f64 y (/.f64 1/2 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 x (*.f64 (sin.f64 x) y)))
(/.f64 1 (.f64 (/.f64 x (.f64 (sin.f64 x) y)) 1))
(/.f64 (+.f64 y y) (*.f64 x (/.f64 2 (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 x) (*.f64 (sin.f64 x) y)))
(/.f64 2 (.f64 2 (/.f64 x (.f64 (sin.f64 x) y))))
(/.f64 2 (.f64 (/.f64 (+.f64 x x) (.f64 (sin.f64 x) y)) 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 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 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 (/.f64 x (neg.f64 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 2 (/.f64 (+.f64 x x) (.f64 (sin.f64 x) y))))
(/.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 (*.f64 y 4) x) (/.f64 4 (sin.f64 x)))
(/.f64 (/.f64 (.f64 y 4) x) (.f64 4 (/.f64 1 (sin.f64 x))))
(/.f64 (/.f64 (.f64 y 4) x) (.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) (/.f64 (.f64 y 4) x)) 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 (sin.f64 x) x) (/.f64 1 y))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1/2 y) (sin.f64 x)))
(/.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 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 x) (sin.f64 x)))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (/.f64 (*.f64 y 4) x))) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (.f64 2 (.f64 (/.f64 x y) 4)))
(/.f64 (.f64 2 (.f64 (sin.f64 x) 4)) (*.f64 8 (/.f64 x y)))
(/.f64 (.f64 2 (/.f64 (.f64 y 4) x)) (*.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 2 (/.f64 (sin.f64 x) x)) (.f64 2 (/.f64 1 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 x (/.f64 1/2 y))) (/.f64 (+.f64 x x) (.f64 (sin.f64 x) y)))
(/.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)) (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 x (neg.f64 y)) 1))
(/.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 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (/.f64 (.f64 y 4) x)))) 16)
(/.f64 (.f64 2 (neg.f64 (sin.f64 x))) (.f64 2 (/.f64 x (neg.f64 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))) (/.f64 x (neg.f64 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 4) x)) (/.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 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 x (/.f64 1/2 y))) (/.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)) (neg.f64 (.f64 x (/.f64 2 y))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 -1 y))
(neg.f64 (/.f64 (/.f64 y (neg.f64 x)) (/.f64 1 (sin.f64 x))))
(neg.f64 (/.f64 y (/.f64 x (neg.f64 (sin.f64 x)))))

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 x) y)
✓	12.6b	(/.f64 (*.f64 (sin.f64 x) y) x)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`bool.json-1`
1658×	`bool.json-2`
1626×	`rational.json-1`
1626×	`rational.json-2`
1222×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	87	28
2	297	28
3	781	28
4	2306	28
5	5639	28

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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 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) y) (/.f64 1 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) (+.f64 y y)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (+.f64 y y)) (*.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sin.f64 x) y) (+.f64 x x)))))) (#(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 1/2 x) (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 y 1/2) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 2 (/.f64 y x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 y 4)) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 y (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 x) (*.f64 y 1/2)))))) (#(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) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 1/2 (/.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 (/.f64 1 x) (*.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sin.f64 x) y) (neg.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 (*.f64 2 (/.f64 y x)) (*.f64 (sin.f64 x) 1/2))))) (#(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 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 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) (*.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 2 (/.f64 y x)))))) (#(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 (/.f64 1 x) 1/2) (*.f64 (sin.f64 x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (*.f64 y 1/2)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) 1/2)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) y) (+.f64 x x)) 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 x 4)) (*.f64 (sin.f64 x) (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (*.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (sin.f64 x) (/.f64 y x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 y 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 y 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) y) (*.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) y) (*.f64 (sin.f64 x) y))))))

simplify112.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational.json-simplify-2`
1108×	`rational.json-simplify-51`
878×	`rational.json-simplify-46`
830×	`rational.json-simplify-41`
786×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1805
1	358	1787
2	831	1763
3	2131	1751
4	5303	1751
5	7051	1751

Stop Event

1×	node limit

Counts

107 → 90

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (sinh.f64 y))
	0.0b	(sinh.f64 y)
✓	1.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`rational.json-simplify-35`
1128×	`bool.json-1`
1128×	`bool.json-2`
1102×	`rational.json-1`
1102×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	98	32
2	348	32
3	1005	32
4	3284	32

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.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 (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 (sin.f64 x) 2) (/.f64 (/.f64 (sinh.f64 y) x) 2))))) (#(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 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) x) 1/2))))) (#(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 (sin.f64 x)) 2)))))) (#(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 (*.f64 (sinh.f64 y) 4) (/.f64 1 (/.f64 (*.f64 x 4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 x (sinh.f64 y)) 4)))))) (#(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 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))))) (#(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 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) x) 2) (*.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 (/.f64 (sinh.f64 y) x) 1/2) (*.f64 (sin.f64 x) 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 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) -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 (sin.f64 x) (*.f64 x (/.f64 2 (sinh.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 x (sin.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x 4) (sin.f64 x))) (*.f64 (sinh.f64 y) 4))))) (#(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 (sinh.f64 y)) 4)) (*.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 neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))

((#(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 (/.f64 x (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (neg.f64 (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 (/.f64 x (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 (sinh.f64 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (sinh.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 x (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (sinh.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sinh.f64 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sinh.f64 y))) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sinh.f64 y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sinh.f64 y)) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 2)))) (#(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 (/.f64 (/.f64 x (sinh.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sinh.f64 y) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 x (sinh.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sinh.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y)))))))

simplify139.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1784×	`rational.json-simplify-35`
1084×	`rational.json-simplify-41`
952×	`rational.json-simplify-2`
798×	`rational.json-simplify-53`
680×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	3423
1	444	3285
2	949	3193
3	2496	3113
4	4907	3113
5	7098	3113

Stop Event

1×	node limit

Counts

119 → 129

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 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 x y)
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (/.f64 x y)))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (+.f64 (.f64 -1/36 x) (.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0)
(+.f64 0 (*.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 (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)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (/.f64 (sinh.f64 y) x) 2))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) x) 1/2))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) x) 1/2))
(.f64 2 (/.f64 (sin.f64 x) (.f64 x (/.f64 2 (sinh.f64 y)))))
(.f64 2 (/.f64 (sinh.f64 y) (.f64 (/.f64 x (sin.f64 x)) 2)))
(.f64 2 (/.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (/.f64 (*.f64 x 4) (sin.f64 x))))
(.f64 (.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) x)) 1/2)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 x (sinh.f64 y)) 4)))
(*.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 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))
(*.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 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) x)))
(.f64 (/.f64 (/.f64 (sinh.f64 y) x) 2) (.f64 (sin.f64 x) 2))
(.f64 (.f64 (/.f64 (sin.f64 x) x) 1/2) (*.f64 (sinh.f64 y) 2))
(.f64 (.f64 (/.f64 (sinh.f64 y) x) 1/2) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) -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 (sin.f64 x) (.f64 x (/.f64 2 (sinh.f64 y)))) 2)
(.f64 (/.f64 (sinh.f64 y) (.f64 (/.f64 x (sin.f64 x)) 2)) 2)
(.f64 (/.f64 1 (/.f64 (.f64 x 4) (sin.f64 x))) (*.f64 (sinh.f64 y) 4))
(.f64 (/.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 x (sinh.f64 y)) 4)) (*.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)))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))
(+.f64 (/.f64 x (sinh.f64 y)) 0)
(+.f64 0 (/.f64 x (sinh.f64 y)))
(-.f64 (/.f64 x (sinh.f64 y)) 0)
(-.f64 0 (/.f64 x (neg.f64 (sinh.f64 y))))
(*.f64 x (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 x (sinh.f64 y)) 1)
(*.f64 1 (/.f64 x (sinh.f64 y)))
(.f64 (.f64 x (/.f64 2 (sinh.f64 y))) 1/2)
(*.f64 (+.f64 x x) (/.f64 1/2 (sinh.f64 y)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (sinh.f64 y)) 1/2))
(.f64 2 (/.f64 x (.f64 (sinh.f64 y) 2)))
(*.f64 2 (/.f64 (/.f64 x (sinh.f64 y)) 2))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (sinh.f64 y) 4)))
(.f64 (.f64 (/.f64 x (sinh.f64 y)) 4) 1/4)
(*.f64 (/.f64 1 (sinh.f64 y)) x)
(*.f64 (neg.f64 x) (/.f64 -1 (sinh.f64 y)))
(*.f64 (/.f64 x (neg.f64 (sinh.f64 y))) -1)
(*.f64 -1 (/.f64 x (neg.f64 (sinh.f64 y))))
(.f64 (.f64 2 (/.f64 1 (sinh.f64 y))) (/.f64 x 2))
(.f64 1/2 (.f64 x (/.f64 2 (sinh.f64 y))))
(*.f64 (/.f64 1/2 (sinh.f64 y)) (+.f64 x x))
(.f64 (.f64 (/.f64 1 (sinh.f64 y)) 1/2) (+.f64 x x))
(.f64 (/.f64 x (.f64 (sinh.f64 y) 2)) 2)
(.f64 (/.f64 x 2) (.f64 2 (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 x (sinh.f64 y)) 2) 2)
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 4)) (*.f64 x 4))
(.f64 1/4 (.f64 (/.f64 x (sinh.f64 y)) 4))
(*.f64 (/.f64 -1 (sinh.f64 y)) (neg.f64 x))
(neg.f64 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 -1/10080 (pow.f64 x 6)) (+.f64 1/2 (+.f64 (.f64 1/240 (pow.f64 x 4)) (.f64 -1/12 (pow.f64 x 2))))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (+.f64 (.f64 -1/12 (pow.f64 x 2)) (+.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 1/6 (.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 3) x) 1/6)) (.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 y 5) x) 1/120))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/6 (/.f64 (pow.f64 y 3) x)))) (.f64 (/.f64 (pow.f64 y 5) x) (.f64 1/120 (sin.f64 x))))
(.f64 (sin.f64 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 (sin.f64 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 (.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 (/.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 (pow.f64 y 5) x) (.f64 1/120 (sin.f64 x)))))
(+.f64 (.f64 (sin.f64 x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))) (.f64 (sin.f64 x) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) 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 (sin.f64 x) (+.f64 (/.f64 y x) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (sin.f64 x) x)))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 x y)
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 y (.f64 x -1/6)))
(+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (/.f64 x y)))
(+.f64 (.f64 y (.f64 x -1/6)) (+.f64 (/.f64 x y) (.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 x -1/36) (.f64 x 1/120)) -1))))
(+.f64 (/.f64 x y) (+.f64 (.f64 y (.f64 x -1/6)) (.f64 (pow.f64 y 3) (neg.f64 (.f64 x -7/360)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 y (.f64 x -1/6)) (.f64 (pow.f64 y 3) (.f64 x 7/360))))
(+.f64 (/.f64 x y) (+.f64 (.f64 x (.f64 y -1/6)) (.f64 (pow.f64 y 3) (.f64 x 7/360))))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (+.f64 (.f64 -1/36 x) (.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y))))
(+.f64 (.f64 y (.f64 x -1/6)) (+.f64 (.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 x -1/36) (.f64 x 1/120)) -1)) (+.f64 (/.f64 x y) (.f64 (pow.f64 y 5) (.f64 (+.f64 (.f64 x -1/720) (+.f64 (.f64 -1/6 (+.f64 (.f64 x -1/36) (.f64 x 1/120))) (*.f64 x 1/5040))) -1)))))
(+.f64 (.f64 y (.f64 x -1/6)) (+.f64 (/.f64 x y) (+.f64 (.f64 (pow.f64 y 5) (neg.f64 (+.f64 (.f64 -1/6 (.f64 x -7/360)) (.f64 x -1/840)))) (.f64 (pow.f64 y 3) (neg.f64 (.f64 x -7/360))))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (.f64 y (.f64 x -1/6)) (.f64 (pow.f64 y 3) (.f64 x 7/360))) (.f64 (pow.f64 y 5) (neg.f64 (+.f64 (.f64 x 7/2160) (*.f64 x -1/840))))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 x 7/360)) (+.f64 (/.f64 x y) (+.f64 (.f64 x (.f64 y -1/6)) (.f64 (pow.f64 y 5) (neg.f64 (.f64 x 31/15120))))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.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 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) 2) (/.f64 (/.f64 (sinh.f64 y) x) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) x) 1/2))
(*.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 2 (/.f64 (sin.f64 x) (.f64 x (/.f64 2 (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 2 (/.f64 (sinh.f64 y) (.f64 (/.f64 x (sin.f64 x)) 2)))
(*.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 (.f64 (sinh.f64 y) 4) (/.f64 1 (/.f64 (*.f64 x 4) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) x)) 1/2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 x (sinh.f64 y)) 4)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1 (*.f64 4 (/.f64 x (sinh.f64 y))))))
(.f64 4 (.f64 (/.f64 1/4 (/.f64 x (sinh.f64 y))) (sin.f64 x)))
(.f64 4 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (*.f64 x 4))))
(*.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 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))
(*.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 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)
(.f64 1/2 (.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 (/.f64 (sinh.f64 y) x) 2) (.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 (/.f64 (sinh.f64 y) x) 1/2) (*.f64 (sin.f64 x) 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 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) -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 (sinh.f64 y) (/.f64 1 (sin.f64 x))) 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 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x)
(.f64 (/.f64 (sin.f64 x) (.f64 x (/.f64 2 (sinh.f64 y)))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 (sinh.f64 y) (.f64 (/.f64 x (sin.f64 x)) 2)) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 (/.f64 1 (/.f64 (.f64 x 4) (sin.f64 x))) (*.f64 (sinh.f64 y) 4))
(*.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 (sinh.f64 y)) 4)) (*.f64 (sin.f64 x) 4))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1 (*.f64 4 (/.f64 x (sinh.f64 y))))))
(.f64 4 (.f64 (/.f64 1/4 (/.f64 x (sinh.f64 y))) (sin.f64 x)))
(.f64 4 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (*.f64 x 4))))
(*.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))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(+.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 (/.f64 x (sinh.f64 y)) 0)
(/.f64 x (sinh.f64 y))
(-.f64 0 (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 x (/.f64 1 (sinh.f64 y)))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 x (sinh.f64 y)) 1)
(/.f64 x (sinh.f64 y))
(*.f64 1 (/.f64 x (sinh.f64 y)))
(/.f64 x (sinh.f64 y))
(.f64 (.f64 x (/.f64 2 (sinh.f64 y))) 1/2)
(/.f64 x (sinh.f64 y))
(*.f64 (+.f64 x x) (/.f64 1/2 (sinh.f64 y)))
(/.f64 x (sinh.f64 y))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (sinh.f64 y)) 1/2))
(/.f64 x (sinh.f64 y))
(.f64 2 (/.f64 x (.f64 (sinh.f64 y) 2)))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 (/.f64 x (sinh.f64 y)) 2))
(/.f64 x (sinh.f64 y))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (sinh.f64 y) 4)))
(/.f64 x (sinh.f64 y))
(.f64 (.f64 (/.f64 x (sinh.f64 y)) 4) 1/4)
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (sinh.f64 y)) x)
(/.f64 x (sinh.f64 y))
(*.f64 (neg.f64 x) (/.f64 -1 (sinh.f64 y)))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 x (neg.f64 (sinh.f64 y))) -1)
(/.f64 x (sinh.f64 y))
(*.f64 -1 (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (.f64 2 (/.f64 1 (sinh.f64 y))) (/.f64 x 2))
(/.f64 x (sinh.f64 y))
(.f64 1/2 (.f64 x (/.f64 2 (sinh.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1/2 (sinh.f64 y)) (+.f64 x x))
(/.f64 x (sinh.f64 y))
(.f64 (.f64 (/.f64 1 (sinh.f64 y)) 1/2) (+.f64 x x))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 x (.f64 (sinh.f64 y) 2)) 2)
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 x 2) (.f64 2 (/.f64 1 (sinh.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (/.f64 x (sinh.f64 y)) 2) 2)
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 4)) (*.f64 x 4))
(/.f64 x (sinh.f64 y))
(.f64 1/4 (.f64 (/.f64 x (sinh.f64 y)) 4))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 -1 (sinh.f64 y)) (neg.f64 x))
(/.f64 x (sinh.f64 y))
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 x (sinh.f64 y))

eval151.0ms (1.2%)

Compiler: Compiled 9216 to 4763 computations (48.3% saved)

prune118.0ms (0.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	703	8	711
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	705	12	717

Error

Counts

717 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
▶	43.5b	(/.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 y)))) x)
	17.0b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 x (/.f64 (/.f64 y x) (/.f64 (sin.f64 x) x))))
✓	13.8b	(/.f64 (*.f64 (sin.f64 x) y) x)
▶	43.6b	(/.f64 (*.f64 y x) x)
✓	1.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
▶	2.7b	(/.f64 (sin.f64 x) (/.f64 x y))
	2.4b	(/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 y (.f64 x -1/6))))
▶	13.8b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
✓	30.5b	(*.f64 (sinh.f64 y) 1)
✓	1.2b	(*.f64 (sin.f64 x) (/.f64 y x))
	31.0b	y

Compiler

Compiled 194 to 125 computations (35.6% saved)

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)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 1 (sin.f64 x))
0.0ms	x	@	-inf	(/.f64 1 (sin.f64 x))
0.0ms	x	@	inf	(/.f64 1 (sin.f64 x))
0.0ms	y	@	0	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
0.0ms	x	@	0	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1952×	`bool.json-1`
1952×	`bool.json-2`
1670×	`bool.json-3`
736×	`rational.json-simplify-61`
722×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	119	28
2	447	28
3	1428	28
4	5657	28

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 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 (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 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 (sin.f64 x) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1/2 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 (sin.f64 x) 2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 1/2 (/.f64 (sin.f64 x) x)))))) (#(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 x (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 y (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 y 1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 y (/.f64 1/2 x)) 1))))) (#(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 (/.f64 (sin.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 x)) (*.f64 1/2 (sin.f64 x)))))) (#(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 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 x (*.f64 (/.f64 1 (sin.f64 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 2 (*.f64 x (/.f64 2 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 (sin.f64 x) (*.f64 y (/.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)) (/.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 x)) (/.f64 1 (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.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) 2) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) (*.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 1/2 x)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y (/.f64 (sin.f64 x) x)) (*.f64 y (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y (/.f64 (sin.f64 x) x)) (*.f64 y (/.f64 (sin.f64 x) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))))))

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

906×	`rational.json-simplify-51`
728×	`rational.json-simplify-35`
720×	`rational.json-simplify-43`
702×	`rational.json-simplify-44`
676×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	1721
1	465	1709
2	1131	1685
3	4012	1679
4	6576	1679

Stop Event

1×	node limit

Counts

95 → 101

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 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 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 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(.f64 1 (.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (/.f64 y x))))
(.f64 (.f64 y (/.f64 (sin.f64 x) x)) 1)
(*.f64 (+.f64 y y) (/.f64 (sin.f64 x) (+.f64 x x)))
(.f64 (+.f64 y y) (.f64 (/.f64 (sin.f64 x) (+.f64 x x)) 1))
(.f64 (+.f64 y y) (.f64 (/.f64 1/2 x) (sin.f64 x)))
(.f64 (+.f64 y y) (.f64 (/.f64 (sin.f64 x) 2) (/.f64 1 x)))
(.f64 (+.f64 y y) (.f64 1/2 (/.f64 (sin.f64 x) x)))
(*.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 x (/.f64 2 y))))
(.f64 2 (/.f64 (.f64 y (/.f64 (sin.f64 x) x)) 2))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 y (/.f64 1/2 x)))
(.f64 (.f64 (sin.f64 x) 2) (.f64 (.f64 y 1/2) (/.f64 1 x)))
(.f64 (.f64 (sin.f64 x) 2) (.f64 (.f64 y (/.f64 1/2 x)) 1))
(.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 (/.f64 (sin.f64 x) 2) 1))
(.f64 (.f64 y (/.f64 2 x)) (*.f64 1/2 (sin.f64 x)))
(.f64 (.f64 y (sin.f64 x)) (/.f64 1 x))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 (sin.f64 x) (/.f64 y x))))
(.f64 (.f64 y 4) (/.f64 1 (.f64 x (.f64 (/.f64 1 (sin.f64 x)) 4))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 2 (.f64 x (/.f64 2 y)))))
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (/.f64 x (/.f64 y 4))))
(.f64 (.f64 (sin.f64 x) (*.f64 y (/.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)) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 1 (/.f64 -1 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x)))
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 y (/.f64 2 (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) 2) (.f64 y (/.f64 2 x)))
(.f64 1/2 (.f64 (sin.f64 x) (*.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 1/2 x)) (*.f64 (sin.f64 x) 2))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(+.f64 0 (/.f64 1 (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) 0)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) 2))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1 (.f64 (sin.f64 x) (.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 2 (sin.f64 x)) 1/2)
(.f64 (.f64 (/.f64 1 (sin.f64 x)) 4) 1/4)
(*.f64 1/2 (/.f64 2 (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(.f64 (/.f64 2 (.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) 2))

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.7b	(/.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)

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`bool.json-1`
1876×	`bool.json-2`
1844×	`rational.json-1`
1502×	`bool.json-3`
936×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	65	13
2	231	13
3	658	1
4	2213	1
5	5634	1

Stop Event

1×	node limit

Counts

1 → 184

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1518×	`rational.json-simplify-35`
1270×	`rational.json-simplify-54`
1078×	`rational.json-simplify-44`
1024×	`rational.json-simplify-47`
878×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	2634
1	1445	2430
2	6176	2166

Stop Event

1×	node limit

Counts

208 → 275

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
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(.f64 (/.f64 (neg.f64 x) (.f64 2 (neg.f64 (+.f64 x x)))) (/.f64 (.f64 2 (.f64 x (*.f64 y -2))) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (/.f64 4 x)) (/.f64 (/.f64 (.f64 y 4) x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (/.f64 -1 x)) (/.f64 (/.f64 y (neg.f64 x)) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) 1/2) (/.f64 (/.f64 (.f64 y x) (+.f64 x x)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (/.f64 1 x))) (/.f64 (neg.f64 (/.f64 y x)) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 x 4))) (/.f64 (.f64 y (.f64 x 4)) x))
(.f64 (/.f64 (neg.f64 x) (/.f64 -2 x)) (/.f64 (/.f64 (.f64 y -2) x) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (/.f64 -4 x)) (/.f64 (/.f64 (.f64 y 4) (neg.f64 x)) (neg.f64 x)))
(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))
(+.f64 0 y)
y
(+.f64 -1 (-.f64 1 (neg.f64 y)))
y
(+.f64 (.f64 y 1/2) (.f64 y 1/2))
y
(+.f64 (/.f64 0 x) y)
(+.f64 y (/.f64 0 x))
(-.f64 y 0)
y
(-.f64 0 (neg.f64 y))
y
(*.f64 y 1)
y
(*.f64 y (/.f64 (/.f64 2 (/.f64 1 x)) (+.f64 x x)))
y
(*.f64 x (/.f64 y x))
y
(.f64 x (/.f64 (/.f64 (.f64 y x) (neg.f64 x)) (neg.f64 x)))
y
(*.f64 x (/.f64 (/.f64 y (/.f64 x (neg.f64 x))) (neg.f64 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
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (*.f64 y 1/2)))
y
(*.f64 (/.f64 y x) x)
y
(.f64 2 (.f64 y 1/2))
y
(.f64 2 (/.f64 (.f64 y x) (+.f64 x x)))
y
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 y x)))
y
(.f64 2 (.f64 (*.f64 y (/.f64 1/2 x)) x))
y
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 y x)))
y
(.f64 (.f64 y (.f64 x 4)) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 x (.f64 y 4)) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 x (*.f64 y 4)) (/.f64 1/4 x))
(*.f64 (+.f64 y y) 1/2)
y
(.f64 (+.f64 y y) (.f64 (/.f64 1 x) (*.f64 x 1/2)))
y
(.f64 (+.f64 y y) (.f64 (/.f64 1/2 x) x))
y
(.f64 (/.f64 1 x) (.f64 y x))
y
(.f64 (.f64 x (neg.f64 y)) (/.f64 -1 x))
y
(*.f64 (neg.f64 x) (/.f64 y (neg.f64 x)))
y
(.f64 (neg.f64 x) (/.f64 (/.f64 (.f64 y x) (neg.f64 x)) x))
y
(*.f64 (neg.f64 x) (/.f64 (/.f64 y (/.f64 x (neg.f64 x))) 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
(.f64 (.f64 y (/.f64 2 x)) (*.f64 x 1/2))
y
(.f64 (/.f64 x (neg.f64 x)) (/.f64 (.f64 y x) (neg.f64 x)))
y
(*.f64 1/2 (+.f64 y y))
y
(.f64 1/2 (/.f64 (/.f64 (.f64 y -2) (/.f64 1 x)) (neg.f64 x)))
(.f64 1/2 (/.f64 (.f64 y -2) (*.f64 (/.f64 1 x) (neg.f64 x))))
(.f64 1/2 (.f64 -2 (neg.f64 y)))
(.f64 (.f64 y (/.f64 1/2 x)) (+.f64 x x))
y
(.f64 (/.f64 1/2 x) (.f64 x (+.f64 y y)))
y
(.f64 (.f64 y 1/2) 2)
y
(.f64 (.f64 x 1/2) (*.f64 y (/.f64 2 x)))
y
(.f64 (.f64 x 1/2) (/.f64 (/.f64 (.f64 y (.f64 x 4)) x) (+.f64 x x)))
y
(.f64 (.f64 x 1/2) (/.f64 (/.f64 (*.f64 x 4) (/.f64 x y)) (+.f64 x x)))
y
(*.f64 (neg.f64 (+.f64 x x)) (/.f64 (neg.f64 y) (+.f64 x x)))
y
(.f64 (neg.f64 (+.f64 x x)) (/.f64 (/.f64 (.f64 y x) (neg.f64 x)) (+.f64 x x)))
y
(*.f64 (neg.f64 (+.f64 x x)) (/.f64 (/.f64 y (/.f64 x (neg.f64 x))) (+.f64 x x)))
y
(.f64 (.f64 x x) (/.f64 (/.f64 y x) x))
y
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 x (+.f64 y y)))
y
(.f64 (.f64 (/.f64 y x) 1/2) (+.f64 x x))
y
(.f64 (.f64 (/.f64 1 x) (*.f64 y 1/2)) (+.f64 x x))
y
(.f64 (.f64 (/.f64 1 x) (*.f64 x 1/2)) (+.f64 y y))
y
(.f64 (/.f64 (.f64 y x) (neg.f64 x)) -1)
y
(*.f64 (/.f64 y (/.f64 x (neg.f64 x))) -1)
y
(.f64 (/.f64 (.f64 y x) (+.f64 x x)) 2)
y
(.f64 (/.f64 -1 x) (.f64 x (neg.f64 y)))
y
(.f64 (/.f64 1 (.f64 x 4)) (.f64 y (.f64 x 4)))
(.f64 (.f64 x (.f64 y 4)) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 x (*.f64 y 4)) (/.f64 1/4 x))
(*.f64 (/.f64 1 (/.f64 x (neg.f64 x))) (neg.f64 y))
y
(.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (.f64 y x))
y
(.f64 (/.f64 x (.f64 -1 (/.f64 x (neg.f64 x)))) (/.f64 y x))
y
(.f64 (/.f64 x (.f64 x (/.f64 2 y))) 2)
(.f64 2 (/.f64 x (.f64 x (/.f64 2 y))))
(*.f64 2 (/.f64 (/.f64 y (/.f64 2 x)) x))
(.f64 (/.f64 x (.f64 x (/.f64 2 y))) (/.f64 (/.f64 2 (/.f64 1 x)) x))
(.f64 (/.f64 x (.f64 x (/.f64 2 y))) (/.f64 (/.f64 x 1/2) x))
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(*.f64 (/.f64 x (/.f64 2 y)) (/.f64 2 x))
(/.f64 (/.f64 2 x) (/.f64 2 (*.f64 y x)))
(*.f64 (/.f64 2 x) (/.f64 y (/.f64 2 x)))
(.f64 (/.f64 x (.f64 x 4)) (/.f64 (.f64 y (.f64 x 4)) x))
(/.f64 (.f64 (.f64 x 4) (/.f64 y x)) (*.f64 4 (/.f64 x x)))
(/.f64 (/.f64 (.f64 x (.f64 y 4)) x) (*.f64 x (/.f64 4 x)))
(/.f64 (.f64 y 4) (.f64 x (/.f64 4 x)))
(.f64 (/.f64 x (.f64 (/.f64 x y) 4)) (/.f64 (*.f64 x 4) x))
(/.f64 (.f64 (.f64 x 4) (/.f64 y x)) (*.f64 4 (/.f64 x x)))
(/.f64 (/.f64 (.f64 x (.f64 y 4)) x) (*.f64 x (/.f64 4 x)))
(/.f64 (.f64 y 4) (.f64 x (/.f64 4 x)))
(.f64 (/.f64 x (/.f64 1 (.f64 y x))) (/.f64 (/.f64 1 x) x))
y
(*.f64 (/.f64 x (/.f64 x (neg.f64 y))) (/.f64 x (neg.f64 x)))
y
(*.f64 (/.f64 x (neg.f64 (/.f64 x y))) (/.f64 x (neg.f64 x)))
y
(*.f64 (/.f64 x (/.f64 -1 (/.f64 y x))) (/.f64 x (neg.f64 x)))
y
(*.f64 (/.f64 x (/.f64 x (neg.f64 x))) (/.f64 y (neg.f64 x)))
y
(.f64 (/.f64 x (/.f64 (/.f64 1 y) y)) (/.f64 1 (.f64 y x)))
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(.f64 (/.f64 (/.f64 x 2) (/.f64 1 (.f64 y y))) (/.f64 2 (*.f64 y x)))
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(.f64 (/.f64 x (.f64 2 (/.f64 2 y))) (/.f64 4 x))
(*.f64 (/.f64 (/.f64 x 2) (/.f64 2 y)) (/.f64 4 x))
(*.f64 (/.f64 (/.f64 y (/.f64 2 x)) 2) (/.f64 4 x))
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(/.f64 (.f64 (.f64 x 4) (/.f64 y x)) (*.f64 4 (/.f64 x x)))
(/.f64 (/.f64 (.f64 x (.f64 y 4)) x) (*.f64 x (/.f64 4 x)))
(/.f64 (.f64 y 4) (.f64 x (/.f64 4 x)))
(.f64 (/.f64 x (.f64 2 (/.f64 1 x))) (/.f64 (*.f64 y (/.f64 2 x)) x))
(.f64 (/.f64 x (.f64 2 (/.f64 1 x))) (*.f64 (/.f64 2 x) (/.f64 y x)))
(.f64 (/.f64 2 x) (.f64 (/.f64 y x) (/.f64 (/.f64 x (/.f64 1 x)) 2)))
(.f64 (/.f64 x (/.f64 2 x)) (/.f64 (.f64 y (/.f64 2 x)) x))
(.f64 (.f64 (/.f64 2 x) (/.f64 y x)) (/.f64 x (/.f64 2 x)))
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(.f64 (/.f64 x (.f64 (+.f64 x x) 4)) (/.f64 (.f64 (.f64 x (+.f64 y y)) 4) x))
(/.f64 (.f64 (.f64 x 4) (/.f64 y x)) (*.f64 4 (/.f64 x x)))
(/.f64 (/.f64 (.f64 x (.f64 y 4)) x) (*.f64 x (/.f64 4 x)))
(/.f64 (.f64 y 4) (.f64 x (/.f64 4 x)))
(.f64 (/.f64 x (.f64 2 (neg.f64 x))) (/.f64 (.f64 x (.f64 y -2)) x))
y
(.f64 (/.f64 x (.f64 2 (neg.f64 x))) (/.f64 (/.f64 (*.f64 y -2) (/.f64 1 x)) x))
y
(.f64 (/.f64 x 4) (/.f64 (.f64 y 4) x))
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(/.f64 (.f64 y 4) (.f64 x (/.f64 4 x)))
(.f64 (/.f64 x (.f64 2 (/.f64 x (neg.f64 x)))) (/.f64 (*.f64 y -2) x))
y
(.f64 (/.f64 x (/.f64 1/2 x)) (/.f64 (.f64 y (/.f64 1/2 x)) x))
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(.f64 (/.f64 x (neg.f64 (+.f64 x x))) (/.f64 (.f64 x (*.f64 y -2)) x))
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(.f64 (/.f64 x (neg.f64 (+.f64 x x))) (/.f64 (/.f64 (.f64 y -2) (/.f64 1 x)) x))
y
(.f64 (/.f64 x (.f64 (/.f64 1 x) (neg.f64 (+.f64 x x)))) (/.f64 (*.f64 y -2) x))
y
(.f64 (/.f64 x 8) (/.f64 (.f64 2 (*.f64 y 4)) x))
(.f64 (/.f64 x 8) (/.f64 (.f64 y 8) x))
(.f64 (/.f64 x 8) (.f64 8 (/.f64 y x)))
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(.f64 (/.f64 x (.f64 2 (.f64 2 (/.f64 1 x)))) (.f64 4 (/.f64 y (*.f64 x x))))
(.f64 (/.f64 x (.f64 (/.f64 1 x) 4)) (*.f64 4 (/.f64 (/.f64 y x) x)))
(.f64 (/.f64 x (.f64 2 (.f64 (+.f64 x x) 4))) (/.f64 (.f64 2 (.f64 (.f64 x (+.f64 y y)) 4)) x))
(.f64 (/.f64 x (.f64 (+.f64 x x) 8)) (/.f64 (.f64 (.f64 x (+.f64 y y)) 8) x))
(.f64 (/.f64 (/.f64 x (+.f64 x x)) 8) (.f64 8 (*.f64 x (/.f64 (+.f64 y y) x))))
(/.f64 (.f64 y 16) (.f64 (*.f64 x 8) (/.f64 2 x)))
(.f64 (/.f64 x (.f64 2 (.f64 2 (neg.f64 x)))) (/.f64 (.f64 2 (.f64 x (.f64 y -2))) x))
y
(.f64 (/.f64 x (.f64 2 (neg.f64 (+.f64 x x)))) (/.f64 (.f64 2 (.f64 x (*.f64 y -2))) x))
y
(.f64 (/.f64 x (/.f64 4 x)) (/.f64 (/.f64 (.f64 y 4) x) x))
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(*.f64 (/.f64 x (/.f64 -1 x)) (/.f64 (/.f64 y (neg.f64 x)) x))
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(*.f64 (/.f64 (+.f64 x x) (/.f64 1 x)) (/.f64 (/.f64 y x) (+.f64 x x)))
y
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(*.f64 (/.f64 (+.f64 x x) (neg.f64 (/.f64 x y))) (/.f64 (neg.f64 x) (+.f64 x x)))
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(*.f64 (/.f64 (+.f64 x x) (/.f64 x (neg.f64 x))) (/.f64 (neg.f64 y) (+.f64 x x)))
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(/.f64 (/.f64 2 x) (/.f64 2 (*.f64 y x)))
(*.f64 (/.f64 2 x) (/.f64 y (/.f64 2 x)))
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(/.f64 (.f64 (.f64 x 4) (/.f64 y x)) (*.f64 4 (/.f64 x x)))
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y
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y
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y
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y
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(.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 x x))) (/.f64 (.f64 x (*.f64 y -2)) (+.f64 x x)))
y
(.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 x x))) (/.f64 (/.f64 (.f64 y -2) (/.f64 1 x)) (+.f64 x x)))
y
(.f64 (/.f64 (+.f64 x x) (.f64 (/.f64 1 x) (neg.f64 (+.f64 x x)))) (/.f64 (*.f64 y -2) (+.f64 x x)))
y
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(.f64 (/.f64 (+.f64 x x) (.f64 2 (.f64 (+.f64 x x) 4))) (/.f64 (.f64 2 (.f64 (.f64 x (+.f64 y y)) 4)) (+.f64 x x)))
(/.f64 (.f64 (.f64 x 4) (/.f64 y x)) (*.f64 4 (/.f64 x x)))
(/.f64 (/.f64 (.f64 x (.f64 y 4)) x) (*.f64 x (/.f64 4 x)))
(/.f64 (.f64 y 4) (.f64 x (/.f64 4 x)))
(.f64 (/.f64 (+.f64 x x) (.f64 2 (.f64 2 (neg.f64 x)))) (/.f64 (.f64 2 (.f64 x (.f64 y -2))) (+.f64 x x)))
y
(.f64 (/.f64 (+.f64 x x) (.f64 2 (neg.f64 (+.f64 x x)))) (/.f64 (.f64 2 (.f64 x (*.f64 y -2))) (+.f64 x x)))
y
(.f64 (/.f64 (+.f64 x x) (/.f64 4 x)) (/.f64 (/.f64 (.f64 y 4) x) (+.f64 x x)))
(.f64 (.f64 (/.f64 2 x) (/.f64 y x)) (/.f64 x (/.f64 2 x)))
(.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (/.f64 2 (.f64 x x))))
(*.f64 (/.f64 (+.f64 x x) (/.f64 -1 x)) (/.f64 (/.f64 y (neg.f64 x)) (+.f64 x x)))
y
(.f64 (/.f64 (+.f64 x x) 1/2) (/.f64 (/.f64 (.f64 y x) (+.f64 x x)) (+.f64 x x)))
y
(*.f64 (/.f64 (+.f64 x x) (neg.f64 (/.f64 1 x))) (/.f64 (neg.f64 (/.f64 y x)) (+.f64 x x)))
y
(.f64 (/.f64 (+.f64 x x) (neg.f64 (.f64 x 4))) (/.f64 (neg.f64 (.f64 y (.f64 x 4))) (+.f64 x x)))
y
(.f64 (/.f64 (+.f64 x x) (/.f64 -2 x)) (/.f64 (/.f64 (.f64 y -2) x) (+.f64 x x)))
y
(.f64 (/.f64 (+.f64 x x) (/.f64 -4 x)) (/.f64 (/.f64 (.f64 y 4) (neg.f64 x)) (+.f64 x x)))
(.f64 (/.f64 (.f64 y -2) (*.f64 x x)) (/.f64 x (/.f64 -2 x)))
(.f64 (.f64 y (/.f64 (/.f64 -2 x) x)) (/.f64 x (/.f64 -2 x)))
(/.f64 (*.f64 (/.f64 y x) (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x))
(.f64 (/.f64 (neg.f64 x) (.f64 -1 (/.f64 x (neg.f64 x)))) (/.f64 y (neg.f64 x)))
y
(*.f64 (/.f64 (neg.f64 x) (/.f64 x y)) (/.f64 x (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 2 y))) (/.f64 (+.f64 x x) (neg.f64 x)))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (/.f64 (/.f64 (neg.f64 x) x) (/.f64 2 y)))
(*.f64 (/.f64 (/.f64 x -1/2) x) (/.f64 y (/.f64 2 (/.f64 x (neg.f64 x)))))
(.f64 (/.f64 y (/.f64 (.f64 x -2) x)) (/.f64 (*.f64 x -2) x))
(.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 2 y))) (/.f64 (/.f64 2 (/.f64 1 x)) (neg.f64 x)))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (/.f64 (/.f64 (neg.f64 x) x) (/.f64 2 y)))
(*.f64 (/.f64 (/.f64 x -1/2) x) (/.f64 y (/.f64 2 (/.f64 x (neg.f64 x)))))
(.f64 (/.f64 y (/.f64 (.f64 x -2) x)) (/.f64 (*.f64 x -2) x))
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 x)) (/.f64 (/.f64 y x) (neg.f64 x)))
y
(*.f64 (/.f64 (neg.f64 x) (/.f64 2 y)) (/.f64 -2 x))
(*.f64 (/.f64 -2 x) (/.f64 y (/.f64 2 (neg.f64 x))))
(*.f64 (/.f64 y (/.f64 -2 x)) (/.f64 -2 x))
(.f64 (/.f64 (neg.f64 x) (.f64 x 4)) (/.f64 (.f64 y (.f64 x 4)) (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 x y) 4)) (/.f64 (*.f64 x 4) (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) 2) (/.f64 (.f64 y -2) x))
y
(.f64 (/.f64 (neg.f64 x) (/.f64 1 (.f64 y x))) (/.f64 (/.f64 1 x) (neg.f64 x)))
y
(*.f64 (/.f64 (neg.f64 x) (/.f64 x (neg.f64 x))) (/.f64 y x))
y
(*.f64 (/.f64 (neg.f64 x) (/.f64 (/.f64 1 y) y)) (/.f64 (/.f64 1 y) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (/.f64 1 (.f64 y y))) (/.f64 1 (*.f64 y (neg.f64 x))))
(.f64 (/.f64 (.f64 y y) (/.f64 -1 x)) (/.f64 (/.f64 -1 x) y))
(.f64 (/.f64 y (/.f64 -1 (.f64 y x))) (/.f64 -1 (*.f64 y x)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (/.f64 (/.f64 1 y) y))) (/.f64 (/.f64 2 y) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (/.f64 1 (.f64 y y)))) (/.f64 2 (.f64 y (neg.f64 x))))
(.f64 (/.f64 y (/.f64 (/.f64 1 y) (/.f64 x -2))) (/.f64 2 (.f64 y (neg.f64 x))))
(*.f64 (/.f64 y (/.f64 (/.f64 1 y) (/.f64 x -2))) (/.f64 (/.f64 -2 x) y))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (/.f64 2 y))) (/.f64 -4 x))
(.f64 (/.f64 -4 x) (/.f64 (neg.f64 x) (.f64 2 (/.f64 2 y))))
(*.f64 (/.f64 -4 x) (/.f64 y (/.f64 2 (/.f64 x -2))))
(*.f64 (/.f64 y (/.f64 2 (/.f64 x -2))) (/.f64 -4 x))
(.f64 (/.f64 (neg.f64 x) (/.f64 (.f64 x 4) (*.f64 y x))) (/.f64 -4 x))
(.f64 (/.f64 -4 x) (/.f64 (neg.f64 x) (.f64 4 (/.f64 x (*.f64 y x)))))
(.f64 (/.f64 -4 x) (.f64 x (/.f64 (neg.f64 y) 4)))
(.f64 (.f64 x (/.f64 (neg.f64 y) 4)) (/.f64 -4 x))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (/.f64 1 x))) (/.f64 (*.f64 y (/.f64 2 x)) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (/.f64 1 x))) (*.f64 (/.f64 2 x) (/.f64 y (neg.f64 x))))
(.f64 (/.f64 x (/.f64 1 (/.f64 x -2))) (.f64 (/.f64 y (neg.f64 x)) (/.f64 2 x)))
(.f64 (/.f64 x (/.f64 1 (/.f64 x -2))) (.f64 (/.f64 y x) (/.f64 -2 x)))
(.f64 (/.f64 (neg.f64 x) (/.f64 2 x)) (/.f64 (.f64 y (/.f64 2 x)) (neg.f64 x)))
(.f64 (/.f64 (.f64 y -2) (*.f64 x x)) (/.f64 x (/.f64 -2 x)))
(.f64 (.f64 y (/.f64 (/.f64 -2 x) x)) (/.f64 x (/.f64 -2 x)))
(/.f64 (*.f64 (/.f64 y x) (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x))
(.f64 (/.f64 (neg.f64 x) (.f64 (+.f64 x x) 4)) (/.f64 (.f64 (.f64 x (+.f64 y y)) 4) (neg.f64 x)))
(.f64 (/.f64 (/.f64 (neg.f64 x) (+.f64 x x)) 4) (.f64 4 (/.f64 (*.f64 x (+.f64 y y)) (neg.f64 x))))
(.f64 (/.f64 (neg.f64 x) (.f64 x 8)) (.f64 (+.f64 y y) (/.f64 (.f64 x -4) x)))
(.f64 (/.f64 (neg.f64 x) (.f64 x 8)) (neg.f64 (*.f64 y 8)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (neg.f64 x))) (+.f64 y y))
(.f64 (+.f64 y y) (/.f64 (neg.f64 x) (.f64 2 (neg.f64 x))))
(.f64 (+.f64 y y) (/.f64 (neg.f64 x) (.f64 x -2)))
(*.f64 (+.f64 y y) (/.f64 x (+.f64 x x)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (neg.f64 x))) (/.f64 (/.f64 (*.f64 y -2) (/.f64 1 x)) (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) 4) (/.f64 (.f64 y 4) (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) 4) (/.f64 (/.f64 (.f64 y (*.f64 x 4)) x) (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) 4) (/.f64 (/.f64 (.f64 x 4) (/.f64 x y)) (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) (.f64 2 (/.f64 x (neg.f64 x)))) (*.f64 y (/.f64 2 x)))
(.f64 (.f64 y (/.f64 2 x)) (/.f64 (neg.f64 x) (*.f64 2 (/.f64 x (neg.f64 x)))))
(.f64 y (.f64 (/.f64 2 x) (/.f64 x 2)))
(.f64 (/.f64 (neg.f64 x) (/.f64 1/2 x)) (/.f64 (.f64 y (/.f64 1/2 x)) (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 1 x) (neg.f64 (+.f64 x x)))) (*.f64 y (/.f64 2 x)))
(.f64 (.f64 y (/.f64 2 x)) (/.f64 (neg.f64 x) (*.f64 2 (/.f64 x (neg.f64 x)))))
(.f64 y (.f64 (/.f64 2 x) (/.f64 x 2)))
(.f64 (/.f64 (neg.f64 x) 8) (/.f64 (.f64 2 (*.f64 y 4)) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) 8) (/.f64 (.f64 y 8) (neg.f64 x)))
(.f64 (/.f64 x -8) (.f64 8 (/.f64 y (neg.f64 x))))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (.f64 2 (/.f64 1 x)))) (/.f64 (.f64 (/.f64 y x) 4) (neg.f64 x)))
(.f64 (/.f64 (.f64 y 4) (.f64 x (neg.f64 x))) (/.f64 (neg.f64 x) (.f64 2 (*.f64 2 (/.f64 1 x)))))
(.f64 4 (.f64 (/.f64 (/.f64 y x) (neg.f64 x)) (/.f64 (neg.f64 x) (*.f64 (/.f64 1 x) 4))))
(.f64 (.f64 y (/.f64 -4 (.f64 x x))) (/.f64 (neg.f64 x) (.f64 (/.f64 1 x) 4)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (.f64 (+.f64 x x) 4))) (/.f64 (.f64 2 (.f64 (.f64 x (+.f64 y y)) 4)) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (.f64 (+.f64 x x) 8)) (/.f64 (.f64 (.f64 x (+.f64 y y)) 8) (neg.f64 x)))
(/.f64 (.f64 8 (.f64 y (+.f64 x x))) (.f64 (neg.f64 x) (.f64 8 (/.f64 (/.f64 x -1/2) x))))
(.f64 (/.f64 (/.f64 x (.f64 x -2)) 8) (neg.f64 (*.f64 y 16)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (.f64 2 (neg.f64 x)))) (/.f64 (.f64 2 (.f64 x (.f64 y -2))) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (.f64 2 (neg.f64 x)))) (.f64 (.f64 y (.f64 -2 x)) (/.f64 2 (neg.f64 x))))
(.f64 (/.f64 (neg.f64 x) (.f64 x -4)) (/.f64 (.f64 y (.f64 (neg.f64 x) 4)) (neg.f64 x)))
(.f64 (/.f64 x (.f64 x 4)) (.f64 2 (.f64 -2 (neg.f64 y))))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (neg.f64 (+.f64 x x)))) (/.f64 (.f64 2 (.f64 x (*.f64 y -2))) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 x) (.f64 2 (.f64 2 (neg.f64 x)))) (.f64 (.f64 y (.f64 -2 x)) (/.f64 2 (neg.f64 x))))
(.f64 (/.f64 (neg.f64 x) (.f64 x -4)) (/.f64 (.f64 y (.f64 (neg.f64 x) 4)) (neg.f64 x)))
(.f64 (/.f64 x (.f64 x 4)) (.f64 2 (.f64 -2 (neg.f64 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 (.f64 y 4) (*.f64 x (neg.f64 x))))
(/.f64 x (/.f64 (/.f64 -4 x) (*.f64 4 (/.f64 (/.f64 y x) (neg.f64 x)))))
(/.f64 (.f64 y (/.f64 -4 x)) (.f64 x (/.f64 -4 (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 x) (/.f64 -1 x)) (/.f64 (/.f64 y (neg.f64 x)) (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) 1/2) (/.f64 (/.f64 (.f64 y x) (+.f64 x x)) (neg.f64 x)))
y
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (/.f64 1 x))) (/.f64 (neg.f64 (/.f64 y x)) (neg.f64 x)))
y
(.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 x 4))) (/.f64 (.f64 y (.f64 x 4)) x))
(/.f64 (.f64 (.f64 x 4) (/.f64 y x)) (*.f64 4 (/.f64 x x)))
(/.f64 (/.f64 (.f64 x (.f64 y 4)) x) (*.f64 x (/.f64 4 x)))
(/.f64 (.f64 y 4) (.f64 x (/.f64 4 x)))
(.f64 (/.f64 (neg.f64 x) (/.f64 -2 x)) (/.f64 (/.f64 (.f64 y -2) x) (neg.f64 x)))
(.f64 (.f64 (/.f64 2 x) (/.f64 y x)) (/.f64 x (/.f64 2 x)))
(.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (/.f64 2 (.f64 x 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 x)) (.f64 4 (/.f64 y (*.f64 x x))))
(.f64 4 (.f64 (/.f64 (/.f64 y x) x) (/.f64 x (/.f64 4 x))))
(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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.6b	(/.f64 (sin.f64 x) (/.f64 x y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`rational.json-simplify-35`
1104×	`bool.json-1`
1104×	`bool.json-2`
1078×	`rational.json-1`
1078×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	89	17
2	329	17
3	969	17
4	3209	17

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

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 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 (/.f64 (sin.f64 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 y x) 1/2))))) (#(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 y (*.f64 x (/.f64 2 (sin.f64 x)))))))) (#(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 (*.f64 (sin.f64 x) (*.f64 y (/.f64 2 x))) 1/2)))) (#(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 (*.f64 y 4) (/.f64 1 (/.f64 4 (/.f64 (sin.f64 x) 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 (neg.f64 y) (/.f64 -1 (/.f64 x (sin.f64 x))))))) (#(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 2 (/.f64 2 (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 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y)))))) (#(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 (/.f64 (/.f64 y x) 2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) (*.f64 y (/.f64 2 x))))))) (#(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 y x) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 y)) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y)) -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 2 (/.f64 2 (sin.f64 x))) (/.f64 y 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 (sin.f64 x) (*.f64 x (/.f64 2 y))) 2)))) (#(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 (*.f64 (sin.f64 x) (/.f64 y x)) 2) 2)))) (#(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 4 (/.f64 (sin.f64 x) x))) (*.f64 y 4))))) (#(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 *.f64 (/.f64 -1 (/.f64 x (sin.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (sin.f64 x) (/.f64 y x)))))))

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational.json-simplify-35`
1088×	`rational.json-simplify-53`
938×	`rational.json-simplify-1`
916×	`rational.json-simplify-43`
712×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1202
1	248	1202
2	537	1190
3	1683	1184
4	4748	1184
5	6961	1184

Stop Event

1×	node limit

Counts

66 → 58

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 x) y)
✓	12.7b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))

Compiler

Compiled 22 to 10 computations (54.5% 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) y))
0.0ms	x	@	inf	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
0.0ms	y	@	-inf	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
0.0ms	x	@	-inf	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
0.0ms	y	@	inf	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`bool.json-1`
1706×	`bool.json-2`
1670×	`rational.json-1`
1670×	`rational.json-2`
1362×	`bool.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	111	17
2	335	17
3	744	17
4	1702	17
5	5169	17

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

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 1 (/.f64 (/.f64 x y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (/.f64 x (+.f64 y y)) (sin.f64 x)) 2))))) (#(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 (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 (*.f64 (sin.f64 x) 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 2 (/.f64 x (*.f64 (sin.f64 x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 (/.f64 2 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 4 (/.f64 (/.f64 x y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (*.f64 y 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 4 (/.f64 (/.f64 x y) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 x 4) (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 y y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 2 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (/.f64 x y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (*.f64 4 (/.f64 (/.f64 x y) (sin.f64 x))) (*.f64 4 (/.f64 (/.f64 x y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 x 8) (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 x 8) (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 x (*.f64 (sin.f64 x) (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 y 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 y x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 x (+.f64 y y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (*.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (/.f64 (/.f64 x y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 (sin.f64 x) (*.f64 y 1/2))) (*.f64 (*.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (/.f64 (/.f64 x y) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 y 4))) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 y 4))) (*.f64 8 x))))) (#(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) (neg.f64 y))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 y x) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 y 1/2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (+.f64 y y))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (+.f64 y y))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 y x) 1/2)) (*.f64 (sin.f64 x) (*.f64 (/.f64 y x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 x) (+.f64 y y))) (neg.f64 (*.f64 (sin.f64 x) (+.f64 y y)))) (*.f64 2 (neg.f64 (+.f64 x x))))))) (#(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 (*.f64 2 (*.f64 (sin.f64 x) (neg.f64 y))) (*.f64 2 (*.f64 (sin.f64 x) (neg.f64 y)))) (*.f64 2 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y))) (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y))) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y))) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 y 4))) x) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (*.f64 x 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y))) (*.f64 x 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 y 4))) (neg.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (+.f64 y y)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (+.f64 y y)))) (-.f64 0 (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 x) (neg.f64 y)))) (-.f64 0 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (sin.f64 x) (/.f64 y x)))))))

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1690×	`rational.json-simplify-35`
1448×	`rational.json-simplify-2`
1264×	`rational.json-simplify-61`
914×	`rational.json-simplify-46`
742×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1474
1	566	1474
2	1821	1462
3	5543	1462

Stop Event

1×	node limit

Counts

82 → 73

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 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 x (+.f64 y y)) (sin.f64 x)) 2))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 y (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)
(/.f64 2 (/.f64 x (.f64 (sin.f64 x) (.f64 y 1/2))))
(/.f64 2 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))))
(/.f64 (/.f64 2 x) (/.f64 (/.f64 2 y) (sin.f64 x)))
(/.f64 4 (*.f64 4 (/.f64 (/.f64 x y) (sin.f64 x))))
(/.f64 4 (.f64 (/.f64 x (.f64 (sin.f64 x) (*.f64 y 1/2))) 2))
(/.f64 4 (.f64 (.f64 4 (/.f64 (/.f64 x y) (sin.f64 x))) 1))
(/.f64 4 (/.f64 (.f64 x 4) (neg.f64 (.f64 (sin.f64 x) (neg.f64 y)))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 y y)) (+.f64 x x))
(/.f64 (.f64 (sin.f64 x) (.f64 2 (/.f64 y x))) 2)
(/.f64 -1 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 x y) (sin.f64 x))))
(/.f64 8 (+.f64 (.f64 4 (/.f64 (/.f64 x y) (sin.f64 x))) (.f64 4 (/.f64 (/.f64 x y) (sin.f64 x)))))
(/.f64 8 (/.f64 (.f64 x 8) (.f64 (sin.f64 x) y)))
(/.f64 8 (/.f64 (.f64 x 8) (neg.f64 (.f64 (sin.f64 x) (neg.f64 y)))))
(/.f64 -2 (-.f64 0 (/.f64 x (.f64 (sin.f64 x) (.f64 y 1/2)))))
(/.f64 (.f64 (sin.f64 x) (.f64 y 4)) (*.f64 x 4))
(/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 y x) 4)) 4)
(/.f64 1/2 (/.f64 (/.f64 x (+.f64 y y)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (*.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (/.f64 (/.f64 x y) (sin.f64 x))))
(/.f64 (/.f64 x (.f64 (sin.f64 x) (.f64 y 1/2))) (.f64 (.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (/.f64 (/.f64 x y) (sin.f64 x))) 2))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (.f64 y 4))) (.f64 x 8))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (.f64 y 4))) (.f64 8 x))
(/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 (/.f64 y x) 4))) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 x) (neg.f64 y))) (*.f64 x -2))
(/.f64 (.f64 (sin.f64 x) (.f64 (/.f64 y x) 1/2)) 1/2)
(/.f64 (.f64 (sin.f64 x) (.f64 y 1/2)) (*.f64 x 1/2))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (+.f64 y y))) (.f64 x -2))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (+.f64 y y))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y))) x)
(/.f64 (+.f64 (.f64 (sin.f64 x) (.f64 (/.f64 y x) 1/2)) (.f64 (sin.f64 x) (.f64 (/.f64 y x) 1/2))) 1)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 x) (+.f64 y y))) (neg.f64 (.f64 (sin.f64 x) (+.f64 y y)))) (*.f64 2 (neg.f64 (+.f64 x 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)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 x) (neg.f64 y))) (.f64 2 (.f64 (sin.f64 x) (neg.f64 y)))) (.f64 2 (.f64 x -2)))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) (neg.f64 (.f64 (sin.f64 x) (neg.f64 y)))) (+.f64 x x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1/2) (+.f64 x x))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y))) 1/2) (+.f64 x x))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) 2) (.f64 x 1/2))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 x) (*.f64 y 4))) x) 8)
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)) -1)
(/.f64 (/.f64 (.f64 (sin.f64 x) y) (.f64 x 4)) 1/4)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) x) -1)
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) (.f64 x 4)) 1/4)
(/.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 y 4))) (neg.f64 (*.f64 x 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (+.f64 y y)))) (+.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (+.f64 y y)))) (-.f64 0 (neg.f64 (+.f64 x x))))
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 x) (neg.f64 y)))) (-.f64 0 (*.f64 x -2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) (neg.f64 x))

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 (sin.f64 x) (neg.f64 y)))
✓	0.0b	(/.f64 (+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 y)))) x)
✓	0.1b	(*.f64 (sin.f64 x) (neg.f64 y))
✓	2.8b	(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 y))))

Compiler

Compiled 42 to 18 computations (57.1% saved)

series3.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite112.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`rational.json-simplify-1`
752×	`rational.json-simplify-35`
734×	`bool.json-1`
734×	`bool.json-2`
704×	`rational.json-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	140	96
2	404	84
3	941	80
4	2297	78
5	6351	78

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 -2 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sin.f64 x) (neg.f64 y)) -2) (/.f64 (.f64 (sin.f64 x) (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 (sin.f64 x) (neg.f64 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (.f64 (sin.f64 x) (neg.f64 y)) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 x) (neg.f64 y)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (.f64 y -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (.f64 y -4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 x) (.f64 y -4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sin.f64 x) (.f64 y -4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 x) (.f64 y -4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (neg.f64 (.f64 (sin.f64 x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (neg.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 x) (neg.f64 y)) 2) (/.f64 (.f64 (sin.f64 x) (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 x) (neg.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sin.f64 x) (neg.f64 y)) 2) (/.f64 (.f64 (sin.f64 x) (neg.f64 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -2 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (.f64 y -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) (.f64 y -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 x) (.f64 y -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 x) (.f64 y -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 y)) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sin.f64 x) (neg.f64 y)) (.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sin.f64 x) (neg.f64 y)) (*.f64 (sin.f64 x) (neg.f64 y)))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (.f64 (sin.f64 x) (neg.f64 y))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 2) (/.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 -1 (.f64 (sin.f64 x) (neg.f64 y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (+.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 1 (.f64 (sin.f64 x) (neg.f64 y))) (-.f64 1 (*.f64 (sin.f64 x) (neg.f64 y))))))))

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational.json-simplify-2`
864×	`rational.json-simplify-53`
834×	`rational.json-simplify-1`
816×	`rational.json-simplify-39`
816×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	278	4077
1	673	3875
2	1832	3799
3	4420	3761
4	7123	3761

Stop Event

1×	node limit

Counts

229 → 215

Calls

Call 1

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

Outputs
(*.f64 y x)
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 y (pow.f64 x 3))))
(.f64 y (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 y x) (.f64 1/120 (*.f64 y (pow.f64 x 5)))))
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 y x) (.f64 y (*.f64 (pow.f64 x 5) 1/120))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 -1/6 y)) (.f64 y (+.f64 x (.f64 1/120 (pow.f64 x 5)))))
(.f64 y (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 7))) (+.f64 (.f64 y x) (.f64 1/120 (*.f64 y (pow.f64 x 5))))))
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 y x) (+.f64 (.f64 y (.f64 (pow.f64 x 5) 1/120)) (.f64 y (*.f64 (pow.f64 x 7) -1/5040)))))
(+.f64 (.f64 y (+.f64 x (.f64 1/120 (pow.f64 x 5)))) (+.f64 (.f64 (pow.f64 x 7) (.f64 -1/5040 y)) (.f64 (pow.f64 x 3) (.f64 -1/6 y))))
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (.f64 y (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 x (*.f64 1/120 (pow.f64 x 5))))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 y -1/6)) (.f64 y (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 x (*.f64 1/120 (pow.f64 x 5))))))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(.f64 -1 (.f64 y x))
(.f64 (.f64 y x) -1)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/6 (.f64 y (pow.f64 x 3))) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 (.f64 y x) -1) (.f64 y (.f64 (pow.f64 x 3) 1/6)))
(+.f64 (.f64 y (neg.f64 x)) (.f64 (pow.f64 x 3) (*.f64 1/6 y)))
(.f64 y (+.f64 (.f64 (pow.f64 x 3) 1/6) (neg.f64 x)))
(+.f64 (.f64 -1/120 (.f64 y (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 y (pow.f64 x 3))) (.f64 -1 (.f64 y x))))
(+.f64 (.f64 y (.f64 (pow.f64 x 3) 1/6)) (+.f64 (.f64 (.f64 y x) -1) (.f64 y (.f64 (pow.f64 x 5) -1/120))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 1/6 y)) (+.f64 (.f64 y (neg.f64 x)) (.f64 (pow.f64 x 5) (*.f64 -1/120 y))))
(+.f64 (.f64 x (neg.f64 y)) (.f64 y (+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 5) -1/120))))
(+.f64 (.f64 y (+.f64 (.f64 (pow.f64 x 3) 1/6) (neg.f64 x))) (.f64 (pow.f64 x 5) (.f64 y -1/120)))
(+.f64 (.f64 1/5040 (.f64 y (pow.f64 x 7))) (+.f64 (.f64 -1/120 (.f64 y (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 y (pow.f64 x 3))) (.f64 -1 (.f64 y x)))))
(+.f64 (.f64 y (.f64 (pow.f64 x 5) -1/120)) (+.f64 (+.f64 (.f64 (.f64 y x) -1) (.f64 y (.f64 (pow.f64 x 3) 1/6))) (.f64 y (.f64 (pow.f64 x 7) 1/5040))))
(+.f64 (.f64 (pow.f64 x 3) (.f64 1/6 y)) (+.f64 (+.f64 (.f64 y (neg.f64 x)) (.f64 (pow.f64 x 5) (.f64 -1/120 y))) (.f64 y (*.f64 (pow.f64 x 7) 1/5040))))
(+.f64 (.f64 y (+.f64 (.f64 (pow.f64 x 3) 1/6) (neg.f64 x))) (.f64 y (+.f64 (.f64 (pow.f64 x 5) -1/120) (*.f64 (pow.f64 x 7) 1/5040))))
(+.f64 (.f64 y (+.f64 (.f64 (pow.f64 x 3) 1/6) (neg.f64 x))) (.f64 y (+.f64 (.f64 (pow.f64 x 7) 1/5040) (*.f64 (pow.f64 x 5) -1/120))))
(.f64 -1 (.f64 y (sin.f64 x)))
(neg.f64 (*.f64 y (sin.f64 x)))
(*.f64 y (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 y))
(.f64 -1 (.f64 y (sin.f64 x)))
(neg.f64 (*.f64 y (sin.f64 x)))
(*.f64 y (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 y))
(.f64 -1 (.f64 y (sin.f64 x)))
(neg.f64 (*.f64 y (sin.f64 x)))
(*.f64 y (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 y))
(.f64 -1 (.f64 y (sin.f64 x)))
(neg.f64 (*.f64 y (sin.f64 x)))
(*.f64 y (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 y))
(.f64 -1 (.f64 y (sin.f64 x)))
(neg.f64 (*.f64 y (sin.f64 x)))
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eval156.0ms (1.2%)

Compiler: Compiled 9892 to 5214 computations (47.3% saved)

prune351.0ms (2.7%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	738	12	750
Fresh	1	2	3
Picked	1	0	1
Done	0	8	8
Total	740	22	762

Error

Counts

762 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
▶	16.9b	(/.f64 (/.f64 y x) (/.f64 1 x))
	15.0b	(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
	15.8b	(/.f64 (/.f64 y x) (.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)))
	44.6b	(/.f64 (/.f64 2 x) (/.f64 2 (*.f64 y x)))
	43.5b	(/.f64 (+.f64 -1 (+.f64 1 (*.f64 y (sin.f64 x)))) x)
▶	44.6b	(/.f64 (+.f64 -1 1) x)
▶	42.0b	(/.f64 (*.f64 (/.f64 y x) (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x))
✓	13.8b	(/.f64 (*.f64 (sin.f64 x) y) x)
✓	43.6b	(/.f64 (*.f64 y x) x)
✓	1.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
✓	2.7b	(/.f64 (sin.f64 x) (/.f64 x y))
▶	2.4b	(/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 y (.f64 x -1/6))))
	44.6b	(+.f64 -1 (-.f64 1 (neg.f64 y)))
▶	43.7b	(*.f64 (/.f64 x (/.f64 2 y)) (/.f64 2 x))
✓	13.8b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
	43.6b	(.f64 (/.f64 1 x) (.f64 y x))
	42.5b	(.f64 (.f64 x x) (/.f64 (/.f64 y x) x))
✓	30.5b	(*.f64 (sinh.f64 y) 1)
✓	1.2b	(*.f64 (sin.f64 x) (/.f64 y x))
	43.7b	(*.f64 2 (/.f64 (/.f64 y (/.f64 2 x)) x))
	31.0b	y

Compiler

Compiled 363 to 248 computations (31.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x y) (.f64 y (.f64 x -1/6)))
✓	0.2b	(.f64 y (.f64 x -1/6))
✓	0.4b	(*.f64 x -1/6)
✓	1.6b	(/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 y (.f64 x -1/6))))

Compiler

Compiled 39 to 19 computations (51.3% saved)

series7.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`rational.json-simplify-35`
912×	`bool.json-1`
912×	`bool.json-2`
896×	`rational.json-simplify-61`
882×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	128	80
2	402	80
3	1012	80
4	2709	80
5	7370	80

Stop Event

1×	node limit

Counts

4 → 74

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y))))) (/.f64 (sin.f64 x) (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 x) (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 2) (/.f64 (/.f64 1/2 x) (+.f64 (.f64 y -1/6) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sin.f64 x) (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 y -1/6) (/.f64 1 y))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) (/.f64 (/.f64 2 x) (+.f64 (.f64 y -1/6) (/.f64 1 y)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 x) (/.f64 (/.f64 2 x) (+.f64 (.f64 y -1/6) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 y -1/6) (/.f64 1 y))) (.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) 1/2) (.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 x) (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 4)) (.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (*.f64 y -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 not (not (.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 x -1/6) (.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 x -1/6) (*.f64 x -1/6))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 y -1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 y -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 y -1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 y -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 y -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 x -2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 y (.f64 x -2/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 y (.f64 x -2/3))) (.f64 2 (.f64 y (.f64 x -2/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 x (.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 x (.f64 y -1/6)) (.f64 x (.f64 y -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 x (.f64 y -1/6)) (.f64 x (*.f64 y -1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 (.f64 y -1/6) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (+.f64 (/.f64 1/2 y) (.f64 (.f64 y -1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (+.f64 (/.f64 1/2 y) (/.f64 (.f64 y -1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 x (.f64 y -1/3)) (.f64 x (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y -1/6) (/.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 2 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 2 x) (+.f64 (.f64 y -1/6) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y)))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 y -1/6) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 y -1/6) (/.f64 1 y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y)))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))))))))

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational.json-simplify-51`
788×	`rational.json-simplify-55`
782×	`rational.json-simplify-35`
704×	`rational.json-simplify-44`
660×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	224	4480
1	533	4446
2	1268	4416
3	4199	4396
4	6609	4396

Stop Event

1×	node limit

Counts

158 → 146

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 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 1/36 (/.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 1/36 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/216 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 -6 (/.f64 (sin.f64 x) (.f64 y x)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))))
(+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 5) x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x)))))
(+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 5) x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (+.f64 (.f64 -1296 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 7) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))))))
(.f64 -6 (/.f64 (sin.f64 x) (.f64 y x)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))))
(+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 5) x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x)))))
(+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 5) x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (+.f64 (.f64 -1296 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 7) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y 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 -1/6 x)
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 -1 (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))
(.f64 -1 (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))
(.f64 -1 (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))
(.f64 -1 (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))
(/.f64 x y)
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(.f64 -1/6 (.f64 y x))
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(.f64 -1/6 (.f64 y x))
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) 0)
(+.f64 0 (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))))))
(+.f64 (/.f64 (sin.f64 x) (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y))))) (/.f64 (sin.f64 x) (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y))))))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) 0)
(-.f64 0 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))
(.f64 (sin.f64 x) (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))))
(.f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))) 1)
(.f64 1 (/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 y -1/6) (/.f64 1 y))))
(.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))) 1/2))
(.f64 2 (/.f64 (sin.f64 x) (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y))))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 y -1/6) (/.f64 1 y))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (/.f64 2 x) (+.f64 (*.f64 y -1/6) (/.f64 1 y)))) 1/2)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))) 4)))
(.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))) (sin.f64 x))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))))
(.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (/.f64 2 x) (+.f64 (*.f64 y -1/6) (/.f64 1 y)))))
(.f64 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 y -1/6) (/.f64 1 y))) (*.f64 (sin.f64 x) 2))
(.f64 (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) 1/2) (*.f64 (sin.f64 x) 2))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))) -1)
(.f64 (/.f64 (sin.f64 x) (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y))))) 2)
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 4)) (*.f64 (sin.f64 x) 4))
(.f64 (/.f64 -1 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))) (neg.f64 (sin.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (/.f64 x y) (.f64 x (.f64 y -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)
(+.f64 (.f64 x (.f64 y -1/6)) 0)
(+.f64 0 (.f64 x (.f64 y -1/6)))
(-.f64 (.f64 x (.f64 y -1/6)) 0)
(/.f64 (.f64 x (.f64 y -1/6)) 1)
(/.f64 (.f64 x (.f64 y -1/3)) 2)
(/.f64 (.f64 y (.f64 x -2/3)) 4)
(/.f64 (.f64 2 (.f64 y (*.f64 x -2/3))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 y (.f64 x -2/3))) (.f64 2 (.f64 y (.f64 x -2/3)))) 16)
(-.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 0)
(-.f64 0 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))
(.f64 x (+.f64 (.f64 y -1/6) (/.f64 1 y)))
(.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))) 1)
(.f64 1 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))))
(.f64 (+.f64 x x) (+.f64 (/.f64 1/2 y) (.f64 (*.f64 y -1/6) 1/2)))
(.f64 (+.f64 x x) (+.f64 (/.f64 1/2 y) (/.f64 (.f64 y -1/6) 2)))
(.f64 (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y)))) 1/2)
(.f64 2 (/.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))) 2))
(.f64 (.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 4) 1/4)
(.f64 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))) -1)
(.f64 -1 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6)))))
(.f64 1/2 (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y)))))
(.f64 1/2 (+.f64 (.f64 x (.f64 y -1/3)) (.f64 x (/.f64 2 y))))
(.f64 (+.f64 (.f64 y -1/6) (/.f64 1 y)) x)
(.f64 1/4 (.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 4))
(.f64 (/.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))) 2) 2)
(/.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 1)
(/.f64 1 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))
(/.f64 (.f64 x (.f64 2 (+.f64 (*.f64 y -1/6) (/.f64 1 y)))) 2)
(/.f64 2 (.f64 2 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))))))
(/.f64 2 (/.f64 (/.f64 2 x) (+.f64 (*.f64 y -1/6) (/.f64 1 y))))
(/.f64 (.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))) 4) 4)
(/.f64 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) -1)
(/.f64 -1 (/.f64 -1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))
(/.f64 (.f64 (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y)))) 4) 8)
(/.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))))) -2)
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 y -1/6) (/.f64 1 y))))
(/.f64 (neg.f64 (.f64 x (.f64 2 (+.f64 (*.f64 y -1/6) (/.f64 1 y))))) -2)
(/.f64 (+.f64 (*.f64 y -1/6) (/.f64 1 y)) (/.f64 1 x))
(/.f64 (.f64 2 (.f64 (.f64 x (.f64 2 (+.f64 (*.f64 y -1/6) (/.f64 1 y)))) 4)) 16)
(neg.f64 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))

Outputs
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (+.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))))
(+.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(/.f64 (sin.f64 x) (.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6))))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(/.f64 (sin.f64 x) (.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6))))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(/.f64 (sin.f64 x) (.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6))))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(/.f64 (sin.f64 x) (.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6))))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (-.f64 (*.f64 y 1/6) (/.f64 1 y))))
(neg.f64 (/.f64 (sin.f64 x) (.f64 x (-.f64 (.f64 y 1/6) (/.f64 1 y)))))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (-.f64 (*.f64 y 1/6) (/.f64 1 y))))
(neg.f64 (/.f64 (sin.f64 x) (.f64 x (-.f64 (.f64 y 1/6) (/.f64 1 y)))))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (-.f64 (*.f64 y 1/6) (/.f64 1 y))))
(neg.f64 (/.f64 (sin.f64 x) (.f64 x (-.f64 (.f64 y 1/6) (/.f64 1 y)))))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (-.f64 (*.f64 y 1/6) (/.f64 1 y))))
(neg.f64 (/.f64 (sin.f64 x) (.f64 x (-.f64 (.f64 y 1/6) (/.f64 1 y)))))
(/.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 1/36 (/.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 1/36 (/.f64 (*.f64 (sin.f64 x) (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) 1/36)) (.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 1/36 (/.f64 (pow.f64 y 5) x)))))
(.f64 (sin.f64 x) (+.f64 (.f64 1/36 (/.f64 (pow.f64 y 5) 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 1/36 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/216 (/.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 1/36 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 5)) x)) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 1/216 (*.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) 1/36)) (+.f64 (.f64 (sin.f64 x) (/.f64 y x)) (.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 y 7) x) 1/216)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (.f64 1/6 (/.f64 (pow.f64 y 3) x)))) (+.f64 (.f64 (sin.f64 x) (.f64 1/36 (/.f64 (pow.f64 y 5) x))) (.f64 1/216 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)))))
(+.f64 (.f64 (sin.f64 x) (.f64 1/6 (/.f64 (pow.f64 y 3) x))) (.f64 (sin.f64 x) (+.f64 (.f64 1/216 (/.f64 (pow.f64 y 7) x)) (+.f64 (/.f64 y x) (*.f64 1/36 (/.f64 (pow.f64 y 5) x))))))
(.f64 -6 (/.f64 (sin.f64 x) (.f64 y x)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))))
(+.f64 (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))) (.f64 -36 (/.f64 (sin.f64 x) (.f64 x (pow.f64 y 3)))))
(+.f64 (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))) (*.f64 -36 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3))))
(+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 5) x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 x (pow.f64 y 3)))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))) (.f64 -216 (/.f64 (sin.f64 x) (.f64 x (pow.f64 y 5))))))
(+.f64 (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 x (pow.f64 y 5)))) (*.f64 -36 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)))))
(+.f64 (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 x (pow.f64 y 3)))) (.f64 -216 (/.f64 (sin.f64 x) (.f64 x (pow.f64 y 5))))))
(+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 5) x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (+.f64 (.f64 -1296 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 7) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))))))
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(.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6)))
(.f64 1/2 (+.f64 (.f64 x (.f64 y -1/3)) (.f64 x (/.f64 2 y))))
(.f64 1/2 (+.f64 (.f64 y (.f64 x -1/3)) (.f64 x (/.f64 2 y))))
(.f64 1/2 (.f64 x (+.f64 (/.f64 2 y) (*.f64 y -1/3))))
(.f64 1/2 (.f64 x (+.f64 (*.f64 y -1/3) (/.f64 2 y))))
(.f64 x (.f64 (+.f64 (*.f64 y -1/3) (/.f64 2 y)) 1/2))
(.f64 (+.f64 (.f64 y -1/6) (/.f64 1 y)) x)
(.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6)))
(.f64 1/4 (.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 4))
(+.f64 (/.f64 x y) (.f64 y (.f64 -1/6 x)))
(.f64 (/.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))) 2) 2)
(+.f64 (/.f64 x y) (.f64 y (.f64 -1/6 x)))
(/.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6))) 1)
(+.f64 (/.f64 x y) (.f64 y (.f64 -1/6 x)))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))
(+.f64 (/.f64 x y) (.f64 y (.f64 -1/6 x)))
(/.f64 (.f64 x (.f64 2 (+.f64 (*.f64 y -1/6) (/.f64 1 y)))) 2)
(.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6)))
(/.f64 2 (.f64 2 (/.f64 1 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))))))
(+.f64 (/.f64 x y) (.f64 y (.f64 -1/6 x)))
(/.f64 2 (/.f64 (/.f64 2 x) (+.f64 (*.f64 y -1/6) (/.f64 1 y))))
(.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6)))
(/.f64 (.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))) 4) 4)
(+.f64 (/.f64 x y) (.f64 y (.f64 -1/6 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))) -1)
(+.f64 (/.f64 x y) (.f64 y (.f64 -1/6 x)))
(/.f64 -1 (/.f64 -1 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))
(+.f64 (/.f64 x y) (.f64 y (.f64 -1/6 x)))
(/.f64 (.f64 (.f64 x (.f64 2 (+.f64 (.f64 y -1/6) (/.f64 1 y)))) 4) 8)
(.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6)))
(/.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y -1/6))))) -2)
(+.f64 (/.f64 x y) (.f64 y (.f64 -1/6 x)))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (+.f64 (*.f64 y -1/6) (/.f64 1 y))))
(.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6)))
(/.f64 (neg.f64 (.f64 x (.f64 2 (+.f64 (*.f64 y -1/6) (/.f64 1 y))))) -2)
(.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6)))
(/.f64 (+.f64 (*.f64 y -1/6) (/.f64 1 y)) (/.f64 1 x))
(.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6)))
(/.f64 (.f64 2 (.f64 (.f64 x (.f64 2 (+.f64 (*.f64 y -1/6) (/.f64 1 y)))) 4)) 16)
(.f64 x (+.f64 (/.f64 1 y) (.f64 y -1/6)))
(neg.f64 (neg.f64 (+.f64 (/.f64 x y) (.f64 x (.f64 y -1/6)))))
(+.f64 (/.f64 x y) (.f64 y (.f64 -1/6 x)))

localize5.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.4b	(/.f64 (/.f64 y x) (/.f64 1 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`rational.json-simplify-35`
1162×	`bool.json-1`
1162×	`bool.json-2`
1134×	`rational.json-1`
1134×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	99	13
2	392	1
3	1288	1
4	3880	1

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 y 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 1/2) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 y 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 x) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 x) (/.f64 1 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 y (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 2) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (*.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (/.f64 (*.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1/2 y)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) x) (/.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) x) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 y)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 y x) (neg.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (*.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (*.f64 x (neg.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 1 x)) (/.f64 (neg.f64 y) 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 2 x) (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 x y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) (*.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 x 2)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 1 (/.f64 2 y))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y x) 1/2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (/.f64 2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 x x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 2 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 x) (/.f64 1 (*.f64 y x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (/.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 x (/.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (/.f64 y x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 2 x))) (*.f64 (/.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x 4) y)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (neg.f64 (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 (/.f64 y x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (/.f64 x y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x not (not y))))) (#(struct:change #<rule egg-rr> (2) ((x and y y)))) (#(struct:change #<rule egg-rr> (2) ((x or y y)))))

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational.json-simplify-51`
1200×	`rational.json-simplify-49`
1148×	`rational.json-simplify-61`
1134×	`rational.json-simplify-43`
976×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	105
1	334	105
2	1094	105
3	6090	105

Stop Event

1×	node limit

Counts

105 → 82

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 x (/.f64 2 y))
✓	12.8b	(*.f64 (/.f64 x (/.f64 2 y)) (/.f64 2 x))

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`bool.json-1`
1656×	`bool.json-2`
1622×	`rational.json-1`
1622×	`rational.json-2`
1622×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	98	38
2	347	26
3	1279	14
4	4597	14

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

Inputs
(*.f64 (/.f64 x (/.f64 2 y)) (/.f64 2 x))
(/.f64 x (/.f64 2 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 y 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 1/2) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 y 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x (/.f64 2 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (*.f64 (/.f64 1 x) (/.f64 x y)) (*.f64 (/.f64 1 x) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 x (*.f64 x y)) (/.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 x (*.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x y) 1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 2 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (/.f64 2 y) (*.f64 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (/.f64 4 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (+.f64 (*.f64 x (*.f64 1/2 (/.f64 2 x))) (*.f64 x (*.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 x (*.f64 1/2 (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 y)) (*.f64 (/.f64 2 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 x)) (*.f64 2 (/.f64 2 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 (/.f64 2 (*.f64 x y)) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) 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egg-rr> (2) ((x /.f64 16 (+.f64 (*.f64 (/.f64 2 (*.f64 x y)) (*.f64 x 4)) (*.f64 (/.f64 2 (*.f64 x y)) (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 4)) (+.f64 (*.f64 2 (*.f64 x (/.f64 2 y))) (*.f64 2 (*.f64 x (/.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (*.f64 (/.f64 2 (*.f64 x y)) (neg.f64 x)) (*.f64 (/.f64 2 (*.f64 x y)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (*.f64 (/.f64 2 y) (*.f64 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 y)) (+.f64 (*.f64 x (*.f64 1/2 (neg.f64 (/.f64 2 x)))) (*.f64 x (*.f64 1/2 (neg.f64 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (/.f64 2 x))) (+.f64 (neg.f64 (/.f64 2 (*.f64 x y))) (neg.f64 (/.f64 2 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 1/2 (/.f64 2 x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 x)) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) x) (*.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) x) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 4 x)) (*.f64 2 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 4 x)) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (/.f64 4 x)) (*.f64 (/.f64 2 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 2 x)) (neg.f64 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (neg.f64 y) x) 1/2) (neg.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8 (/.f64 2 (*.f64 x y))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 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simplify606.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1220×	`rational.json-simplify-2`
1176×	`rational.json-simplify-35`
1098×	`rational.json-simplify-53`
984×	`rational.json-simplify-44`
852×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	385	1329
1	1218	1235
2	4640	1235
3	7570	1235

Stop Event

1×	node limit

Counts

223 → 187

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
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
(.f64 1/2 (.f64 y x))
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(/.f64 (.f64 2 (neg.f64 (/.f64 2 x))) (+.f64 (neg.f64 (/.f64 2 (.f64 x y))) (neg.f64 (/.f64 2 (*.f64 x y)))))
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(/.f64 (+.f64 (.f64 y (/.f64 2 x)) (.f64 y (/.f64 2 x))) (*.f64 2 (/.f64 2 x)))
(/.f64 (+.f64 (/.f64 (.f64 y 4) x) (/.f64 (.f64 y 4) x)) (*.f64 2 (/.f64 4 x)))
(/.f64 (+.f64 (/.f64 (.f64 y 4) x) (/.f64 (.f64 y 4) x)) (*.f64 (/.f64 2 x) 4))
(/.f64 (+.f64 (.f64 x (/.f64 4 x)) (.f64 x (/.f64 4 x))) (*.f64 (/.f64 2 y) 4))
(/.f64 (+.f64 (.f64 x (/.f64 4 x)) (.f64 x (/.f64 4 x))) (*.f64 2 (/.f64 4 y)))
(/.f64 (+.f64 (.f64 (+.f64 x x) (/.f64 4 x)) (.f64 (+.f64 x x) (/.f64 4 x))) (.f64 2 (.f64 (/.f64 2 y) 4)))
(/.f64 (+.f64 (.f64 (neg.f64 x) (/.f64 2 x)) (.f64 (neg.f64 x) (/.f64 2 x))) (*.f64 2 (neg.f64 (/.f64 2 y))))
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(/.f64 (/.f64 (*.f64 x y) (+.f64 x x)) 1/2)
(/.f64 (/.f64 (.f64 x (/.f64 2 x)) (.f64 2 (/.f64 2 y))) 1/2)
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(/.f64 (/.f64 (*.f64 x (/.f64 4 x)) (/.f64 2 y)) 2)
(/.f64 (/.f64 (.f64 (+.f64 x x) (/.f64 4 x)) 2) (.f64 2 (/.f64 2 y)))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 2 x)) (/.f64 2 y)) -1)
(/.f64 (/.f64 (/.f64 8 (/.f64 2 (*.f64 x y))) 2) (+.f64 x x))
(/.f64 (/.f64 (/.f64 -2 (/.f64 2 (*.f64 x y))) x) -1)
(/.f64 (/.f64 (neg.f64 (*.f64 x y)) x) -1)
(/.f64 (neg.f64 (.f64 2 (/.f64 2 x))) (-.f64 0 (.f64 2 (/.f64 2 (*.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 x))) (/.f64 2 (*.f64 x y)))
(/.f64 (neg.f64 (.f64 x (.f64 y 4))) (-.f64 0 (*.f64 x 4)))
(/.f64 (neg.f64 (*.f64 x (/.f64 2 x))) (neg.f64 (/.f64 2 y)))
(/.f64 (neg.f64 (*.f64 y (/.f64 2 x))) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 y 4) x)) (neg.f64 (/.f64 4 x)))
(/.f64 (neg.f64 (/.f64 (.f64 y 4) x)) (-.f64 0 (.f64 2 (/.f64 2 x))))
(/.f64 (neg.f64 (.f64 x (/.f64 4 x))) (neg.f64 (.f64 2 (/.f64 2 y))))
(/.f64 (neg.f64 (*.f64 x (/.f64 4 x))) (-.f64 0 (/.f64 4 y)))
(/.f64 (neg.f64 (.f64 (+.f64 x x) (/.f64 4 x))) (-.f64 0 (.f64 (/.f64 2 y) 4)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 2 x))) (/.f64 2 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 2 x))) (neg.f64 (neg.f64 (/.f64 2 y))))
(/.f64 (neg.f64 (/.f64 (/.f64 (neg.f64 y) x) 1/2)) (/.f64 2 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (neg.f64 y) x) 1/2)) (-.f64 0 (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 8 (/.f64 2 (.f64 x y)))) (-.f64 0 (.f64 x 4)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 2 (*.f64 x y)))) x)
(/.f64 (neg.f64 (/.f64 -2 (/.f64 2 (*.f64 x y)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 2 x) (.f64 y 1/2))) (-.f64 0 (/.f64 1 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x y))) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 x y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (+.f64 y y)))) (+.f64 x x))
(+.f64 (.f64 (.f64 x y) 1/2) 0)
(+.f64 0 (.f64 (.f64 x y) 1/2))
(-.f64 (.f64 (.f64 x y) 1/2) 0)
(.f64 x (.f64 y 1/2))
(*.f64 x (/.f64 2 (/.f64 4 y)))
(.f64 x (.f64 (/.f64 2 (/.f64 4 y)) 1))
(.f64 2 (/.f64 x (.f64 2 (/.f64 2 y))))
(.f64 2 (/.f64 y (.f64 2 (/.f64 2 x))))
(*.f64 2 (/.f64 y (/.f64 4 x)))
(*.f64 2 (/.f64 x (/.f64 4 y)))
(.f64 2 (/.f64 (.f64 (*.f64 x y) 1/2) 2))
(.f64 y (.f64 x 1/2))
(*.f64 y (/.f64 2 (/.f64 4 x)))
(.f64 y (.f64 (/.f64 2 (/.f64 4 x)) 1))
(.f64 (.f64 (*.f64 x y) 1/2) 1)
(.f64 1 (.f64 (*.f64 x y) 1/2))
(.f64 (+.f64 y y) (/.f64 (.f64 x 1/2) 2))
(*.f64 (+.f64 y y) (/.f64 1 (/.f64 4 x)))
(.f64 (+.f64 y y) (.f64 x 1/4))
(.f64 (+.f64 y y) (.f64 (/.f64 (*.f64 x 1/2) 2) 1))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (/.f64 4 x)) 1))
(*.f64 (+.f64 y y) (/.f64 2 (/.f64 8 x)))
(.f64 (+.f64 x x) (/.f64 (.f64 y 1/2) 2))
(*.f64 (+.f64 x x) (/.f64 1 (/.f64 4 y)))
(.f64 (+.f64 x x) (.f64 y 1/4))
(.f64 (+.f64 x x) (.f64 (/.f64 (*.f64 y 1/2) 2) 1))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (/.f64 4 y)) 1))
(*.f64 (+.f64 x x) (/.f64 2 (/.f64 8 y)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 2 y) 4)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 2 (/.f64 4 y))))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 8 y)))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 2 (/.f64 4 x))))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (/.f64 2 x) 4)))
(.f64 (.f64 y 4) (/.f64 1 (/.f64 8 x)))
(.f64 (.f64 x y) 1/2)
(.f64 (.f64 x (+.f64 y y)) 1/4)
(.f64 (.f64 x 1/2) y)
(.f64 (.f64 x 1/2) (/.f64 1 (/.f64 1 y)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 2 y))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -2 y)))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (/.f64 2 x))))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 -2 x)))
(.f64 (.f64 y 1/2) x)
(.f64 (.f64 y 1/2) (/.f64 1 (/.f64 1 x)))
(*.f64 -1 (/.f64 x (neg.f64 (/.f64 2 y))))
(*.f64 -1 (/.f64 x (/.f64 -2 y)))
(*.f64 -1 (/.f64 y (neg.f64 (/.f64 2 x))))
(*.f64 -1 (/.f64 y (/.f64 -2 x)))
(.f64 1/2 (.f64 x y))
(*.f64 1/2 (/.f64 x (/.f64 1 y)))
(.f64 (/.f64 (.f64 x 1/2) 2) (+.f64 y y))
(*.f64 (/.f64 2 (/.f64 4 x)) y)
(*.f64 (/.f64 1 (/.f64 4 x)) (+.f64 y y))
(.f64 (/.f64 (.f64 y 1/2) 2) (+.f64 x x))
(*.f64 (/.f64 2 (/.f64 4 y)) x)
(*.f64 (/.f64 1 (/.f64 4 y)) (+.f64 x 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 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 y x))
(.f64 y (.f64 1/2 x))
(+.f64 y 0)
y
(+.f64 0 y)
y
(+.f64 (.f64 y 1/2) (.f64 y 1/2))
y
(-.f64 y 0)
y
(/.f64 x (/.f64 x y))
y
(/.f64 2 (.f64 x (/.f64 2 (.f64 x y))))
y
(/.f64 2 (+.f64 (.f64 (/.f64 1 x) (/.f64 x y)) (.f64 (/.f64 1 x) (/.f64 x y))))
y
(/.f64 2 (+.f64 (/.f64 x (.f64 x y)) (/.f64 x (.f64 x y))))
y
(/.f64 y 1)
y
(/.f64 y (.f64 x (.f64 1/2 (/.f64 2 x))))
y
(/.f64 (.f64 (.f64 x y) 1/2) (*.f64 x 1/2))
y
(/.f64 (/.f64 2 x) (/.f64 2 (*.f64 x y)))
y
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 x y)))
y
(/.f64 1 (/.f64 x (*.f64 x y)))
y
(/.f64 4 (.f64 (/.f64 2 y) (.f64 x (/.f64 2 x))))
y
(/.f64 (+.f64 y y) 2)
y
(/.f64 (+.f64 y y) (/.f64 (/.f64 4 x) (/.f64 2 x)))
y
(/.f64 (+.f64 y y) (+.f64 (.f64 x (.f64 1/2 (/.f64 2 x))) (.f64 x (.f64 1/2 (/.f64 2 x)))))
y
(/.f64 (+.f64 x x) (*.f64 x (/.f64 2 y)))
y
(/.f64 (+.f64 x x) (.f64 x (.f64 1/2 (/.f64 4 y))))
y
(/.f64 (.f64 2 (/.f64 2 y)) (.f64 (/.f64 2 y) (/.f64 2 y)))
y
(/.f64 (.f64 2 (/.f64 2 x)) (.f64 2 (/.f64 2 (*.f64 x y))))
y
(/.f64 8 (.f64 (/.f64 2 (.f64 x y)) (*.f64 x 4)))
y
(/.f64 (.f64 x 4) (.f64 2 (*.f64 x (/.f64 2 y))))
y
(/.f64 (.f64 x 4) (+.f64 (.f64 x (/.f64 2 y)) (*.f64 x (/.f64 2 y))))
y
(/.f64 (.f64 x 4) (+.f64 (.f64 x (.f64 1/2 (/.f64 4 y))) (.f64 x (*.f64 1/2 (/.f64 4 y)))))
y
(/.f64 (*.f64 y 4) 4)
y
(/.f64 (*.f64 y 4) (+.f64 (/.f64 (/.f64 4 x) (/.f64 2 x)) (/.f64 (/.f64 4 x) (/.f64 2 x))))
y
(/.f64 (*.f64 x y) x)
y
(/.f64 (*.f64 x y) (/.f64 2 (/.f64 2 x)))
y
(/.f64 (*.f64 x (+.f64 y y)) (+.f64 x x))
y
(/.f64 (*.f64 x (+.f64 y y)) (/.f64 4 (/.f64 2 x)))
y
(/.f64 (*.f64 x (+.f64 y y)) (+.f64 (/.f64 2 (/.f64 2 x)) (/.f64 2 (/.f64 2 x))))
y
(/.f64 -2 (.f64 (/.f64 2 (.f64 x y)) (neg.f64 x)))
y
(/.f64 -2 (-.f64 0 (.f64 x (/.f64 2 (.f64 x y)))))
y
(/.f64 (neg.f64 x) (*.f64 -1 (/.f64 x y)))
y
(/.f64 (neg.f64 x) (-.f64 0 (/.f64 x y)))
y
(/.f64 (neg.f64 y) (.f64 x (.f64 1/2 (neg.f64 (/.f64 2 x)))))
y
(/.f64 (neg.f64 (/.f64 2 x)) (neg.f64 (/.f64 2 (*.f64 x y))))
y
(/.f64 (.f64 x (.f64 y 4)) (*.f64 x 4))
y
(/.f64 (.f64 x (.f64 y 4)) (+.f64 (/.f64 4 (/.f64 2 x)) (/.f64 4 (/.f64 2 x))))
y
(/.f64 (.f64 2 (neg.f64 x)) (+.f64 (.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 x y))))
y
(/.f64 (.f64 (/.f64 2 x) 4) (.f64 2 (.f64 2 (/.f64 2 (.f64 x y)))))
y
(/.f64 16 (+.f64 (.f64 (/.f64 2 (.f64 x y)) (.f64 x 4)) (.f64 (/.f64 2 (.f64 x y)) (.f64 x 4))))
y
(/.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 2 (.f64 x (/.f64 2 y))) (.f64 2 (.f64 x (/.f64 2 y)))))
y
(/.f64 -4 (+.f64 (.f64 (/.f64 2 (.f64 x y)) (neg.f64 x)) (.f64 (/.f64 2 (.f64 x y)) (neg.f64 x))))
y
(/.f64 -4 (-.f64 0 (.f64 (/.f64 2 y) (.f64 x (/.f64 2 x)))))
y
(/.f64 (.f64 2 (.f64 y 4)) 8)
y
(/.f64 (.f64 2 (neg.f64 y)) (+.f64 (.f64 x (.f64 1/2 (neg.f64 (/.f64 2 x)))) (.f64 x (*.f64 1/2 (neg.f64 (/.f64 2 x))))))
y
(/.f64 (.f64 2 (neg.f64 (/.f64 2 x))) (+.f64 (neg.f64 (/.f64 2 (.f64 x y))) (neg.f64 (/.f64 2 (*.f64 x y)))))
y
(/.f64 (.f64 x (.f64 1/2 (/.f64 2 x))) (/.f64 1 y))
y
(/.f64 (*.f64 x (/.f64 2 x)) (/.f64 2 y))
y
(/.f64 (*.f64 y (/.f64 2 x)) (/.f64 2 x))
y
(/.f64 (/.f64 (.f64 y 4) x) (.f64 2 (/.f64 2 x)))
y
(/.f64 (/.f64 (*.f64 y 4) x) (/.f64 4 x))
y
(/.f64 (.f64 x (/.f64 4 x)) (.f64 2 (/.f64 2 y)))
y
(/.f64 (*.f64 x (/.f64 4 x)) (/.f64 4 y))
y
(/.f64 (.f64 (+.f64 x x) (/.f64 4 x)) (.f64 (/.f64 2 y) 4))
y
(/.f64 (*.f64 (neg.f64 x) (/.f64 2 x)) (neg.f64 (/.f64 2 y)))
y
(/.f64 (/.f64 (/.f64 (neg.f64 y) x) 1/2) (neg.f64 (/.f64 2 x)))
y
(/.f64 (/.f64 8 (/.f64 2 (.f64 x y))) (.f64 x 4))
y
(/.f64 (/.f64 -2 (/.f64 2 (*.f64 x y))) (neg.f64 x))
y
(/.f64 (/.f64 2 (/.f64 2 y)) (/.f64 x x))
y
(/.f64 (.f64 (/.f64 2 x) (.f64 y 1/2)) (/.f64 1 x))
y
(/.f64 (/.f64 4 (/.f64 2 y)) (*.f64 x (/.f64 2 x)))
y
(/.f64 (neg.f64 (.f64 (.f64 x y) 1/2)) (-.f64 0 (*.f64 x 1/2)))
y
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 x))
y
(/.f64 (neg.f64 (*.f64 x (+.f64 y y))) (neg.f64 (+.f64 x x)))
y
(/.f64 (+.f64 (.f64 (/.f64 2 x) (.f64 y 1/2)) (.f64 (/.f64 2 x) (.f64 y 1/2))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
y
(/.f64 (+.f64 (.f64 (/.f64 2 x) 4) (.f64 (/.f64 2 x) 4)) (+.f64 (.f64 2 (.f64 2 (/.f64 2 (.f64 x y)))) (.f64 2 (.f64 2 (/.f64 2 (.f64 x y))))))
y
(/.f64 (+.f64 (.f64 x (.f64 y 4)) (.f64 x (.f64 y 4))) (.f64 2 (.f64 x 4)))
y
(/.f64 (+.f64 (.f64 x (/.f64 2 x)) (.f64 x (/.f64 2 x))) (*.f64 2 (/.f64 2 y)))
y
(/.f64 (+.f64 (.f64 y (/.f64 2 x)) (.f64 y (/.f64 2 x))) (*.f64 2 (/.f64 2 x)))
y
(/.f64 (+.f64 (/.f64 (.f64 y 4) x) (/.f64 (.f64 y 4) x)) (*.f64 2 (/.f64 4 x)))
y
(/.f64 (+.f64 (/.f64 (.f64 y 4) x) (/.f64 (.f64 y 4) x)) (*.f64 (/.f64 2 x) 4))
y
(/.f64 (+.f64 (.f64 x (/.f64 4 x)) (.f64 x (/.f64 4 x))) (*.f64 (/.f64 2 y) 4))
y
(/.f64 (+.f64 (.f64 x (/.f64 4 x)) (.f64 x (/.f64 4 x))) (*.f64 2 (/.f64 4 y)))
y
(/.f64 (+.f64 (.f64 (+.f64 x x) (/.f64 4 x)) (.f64 (+.f64 x x) (/.f64 4 x))) (.f64 2 (.f64 (/.f64 2 y) 4)))
y
(/.f64 (+.f64 (.f64 (neg.f64 x) (/.f64 2 x)) (.f64 (neg.f64 x) (/.f64 2 x))) (*.f64 2 (neg.f64 (/.f64 2 y))))
y
(/.f64 (+.f64 (/.f64 (/.f64 (neg.f64 y) x) 1/2) (/.f64 (/.f64 (neg.f64 y) x) 1/2)) (*.f64 2 (neg.f64 (/.f64 2 x))))
y
(/.f64 (+.f64 (/.f64 8 (/.f64 2 (.f64 x y))) (/.f64 8 (/.f64 2 (.f64 x y)))) (.f64 2 (.f64 x 4)))
y
(/.f64 (+.f64 (/.f64 -2 (/.f64 2 (.f64 x y))) (/.f64 -2 (/.f64 2 (.f64 x y)))) (*.f64 2 (neg.f64 x)))
y
(/.f64 (+.f64 (neg.f64 (.f64 x y)) (neg.f64 (.f64 x y))) (*.f64 2 (neg.f64 x)))
y
(/.f64 (+.f64 (neg.f64 (.f64 x (+.f64 y y))) (neg.f64 (.f64 x (+.f64 y y)))) (+.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))))
y
(/.f64 (/.f64 (.f64 (.f64 x y) 1/2) x) 1/2)
y
(/.f64 (/.f64 (/.f64 2 x) (*.f64 2 (/.f64 2 y))) (/.f64 1/2 x))
y
(/.f64 (/.f64 (/.f64 2 x) (/.f64 1 x)) (/.f64 2 y))
y
(/.f64 (/.f64 (*.f64 x y) (+.f64 x x)) 1/2)
y
(/.f64 (/.f64 (.f64 x (/.f64 2 x)) (.f64 2 (/.f64 2 y))) 1/2)
y
(/.f64 (/.f64 (/.f64 (*.f64 y 4) x) 2) (/.f64 2 x))
y
(/.f64 (/.f64 (/.f64 (*.f64 y 4) x) (/.f64 2 x)) 2)
y
(/.f64 (/.f64 (*.f64 x (/.f64 4 x)) 2) (/.f64 2 y))
y
(/.f64 (/.f64 (*.f64 x (/.f64 4 x)) (/.f64 2 y)) 2)
y
(/.f64 (/.f64 (.f64 (+.f64 x x) (/.f64 4 x)) 2) (.f64 2 (/.f64 2 y)))
y
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 2 x)) (/.f64 2 y)) -1)
y
(/.f64 (/.f64 (/.f64 8 (/.f64 2 (*.f64 x y))) 2) (+.f64 x x))
y
(/.f64 (/.f64 (/.f64 -2 (/.f64 2 (*.f64 x y))) x) -1)
y
(/.f64 (/.f64 (neg.f64 (*.f64 x y)) x) -1)
y
(/.f64 (neg.f64 (.f64 2 (/.f64 2 x))) (-.f64 0 (.f64 2 (/.f64 2 (*.f64 x y)))))
y
(/.f64 (neg.f64 (neg.f64 (/.f64 2 x))) (/.f64 2 (*.f64 x y)))
y
(/.f64 (neg.f64 (.f64 x (.f64 y 4))) (-.f64 0 (*.f64 x 4)))
y
(/.f64 (neg.f64 (*.f64 x (/.f64 2 x))) (neg.f64 (/.f64 2 y)))
y
(/.f64 (neg.f64 (*.f64 y (/.f64 2 x))) (neg.f64 (/.f64 2 x)))
y
(/.f64 (neg.f64 (/.f64 (*.f64 y 4) x)) (neg.f64 (/.f64 4 x)))
y
(/.f64 (neg.f64 (/.f64 (.f64 y 4) x)) (-.f64 0 (.f64 2 (/.f64 2 x))))
y
(/.f64 (neg.f64 (.f64 x (/.f64 4 x))) (neg.f64 (.f64 2 (/.f64 2 y))))
y
(/.f64 (neg.f64 (*.f64 x (/.f64 4 x))) (-.f64 0 (/.f64 4 y)))
y
(/.f64 (neg.f64 (.f64 (+.f64 x x) (/.f64 4 x))) (-.f64 0 (.f64 (/.f64 2 y) 4)))
y
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 2 x))) (/.f64 2 y))
y
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 2 x))) (neg.f64 (neg.f64 (/.f64 2 y))))
y
(/.f64 (neg.f64 (/.f64 (/.f64 (neg.f64 y) x) 1/2)) (/.f64 2 x))
y
(/.f64 (neg.f64 (/.f64 (/.f64 (neg.f64 y) x) 1/2)) (-.f64 0 (neg.f64 (/.f64 2 x))))
y
(/.f64 (neg.f64 (/.f64 8 (/.f64 2 (.f64 x y)))) (-.f64 0 (.f64 x 4)))
y
(/.f64 (neg.f64 (/.f64 -2 (/.f64 2 (*.f64 x y)))) x)
y
(/.f64 (neg.f64 (/.f64 -2 (/.f64 2 (*.f64 x y)))) (neg.f64 (neg.f64 x)))
y
(/.f64 (neg.f64 (.f64 (/.f64 2 x) (.f64 y 1/2))) (-.f64 0 (/.f64 1 x)))
y
(/.f64 (neg.f64 (neg.f64 (*.f64 x y))) x)
y
(/.f64 (neg.f64 (neg.f64 (*.f64 x y))) (neg.f64 (neg.f64 x)))
y
(/.f64 (neg.f64 (neg.f64 (*.f64 x (+.f64 y y)))) (+.f64 x x))
y
(+.f64 (.f64 (.f64 x y) 1/2) 0)
(.f64 y (.f64 1/2 x))
(+.f64 0 (.f64 (.f64 x y) 1/2))
(.f64 y (.f64 1/2 x))
(-.f64 (.f64 (.f64 x y) 1/2) 0)
(.f64 y (.f64 1/2 x))
(.f64 x (.f64 y 1/2))
(.f64 y (.f64 1/2 x))
(*.f64 x (/.f64 2 (/.f64 4 y)))
(.f64 y (.f64 1/2 x))
(.f64 x (.f64 (/.f64 2 (/.f64 4 y)) 1))
(.f64 y (.f64 1/2 x))
(.f64 2 (/.f64 x (.f64 2 (/.f64 2 y))))
(.f64 y (.f64 1/2 x))
(.f64 2 (/.f64 y (.f64 2 (/.f64 2 x))))
(.f64 y (.f64 1/2 x))
(*.f64 2 (/.f64 y (/.f64 4 x)))
(.f64 y (.f64 1/2 x))
(*.f64 2 (/.f64 x (/.f64 4 y)))
(.f64 y (.f64 1/2 x))
(.f64 2 (/.f64 (.f64 (*.f64 x y) 1/2) 2))
(.f64 y (.f64 1/2 x))
(.f64 y (.f64 x 1/2))
(.f64 y (.f64 1/2 x))
(*.f64 y (/.f64 2 (/.f64 4 x)))
(.f64 y (.f64 1/2 x))
(.f64 y (.f64 (/.f64 2 (/.f64 4 x)) 1))
(.f64 y (.f64 1/2 x))
(.f64 (.f64 (*.f64 x y) 1/2) 1)
(.f64 y (.f64 1/2 x))
(.f64 1 (.f64 (*.f64 x y) 1/2))
(.f64 y (.f64 1/2 x))
(.f64 (+.f64 y y) (/.f64 (.f64 x 1/2) 2))
(.f64 y (.f64 1/2 x))
(*.f64 (+.f64 y y) (/.f64 1 (/.f64 4 x)))
(.f64 y (.f64 1/2 x))
(.f64 (+.f64 y y) (.f64 x 1/4))
(.f64 y (.f64 1/2 x))
(.f64 (+.f64 y y) (.f64 (/.f64 (*.f64 x 1/2) 2) 1))
(.f64 y (.f64 1/2 x))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (/.f64 4 x)) 1))
(.f64 y (.f64 1/2 x))
(*.f64 (+.f64 y y) (/.f64 2 (/.f64 8 x)))
(.f64 y (.f64 1/2 x))
(.f64 (+.f64 x x) (/.f64 (.f64 y 1/2) 2))
(.f64 y (.f64 1/2 x))
(*.f64 (+.f64 x x) (/.f64 1 (/.f64 4 y)))
(.f64 y (.f64 1/2 x))
(.f64 (+.f64 x x) (.f64 y 1/4))
(.f64 y (.f64 1/2 x))
(.f64 (+.f64 x x) (.f64 (/.f64 (*.f64 y 1/2) 2) 1))
(.f64 y (.f64 1/2 x))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (/.f64 4 y)) 1))
(.f64 y (.f64 1/2 x))
(*.f64 (+.f64 x x) (/.f64 2 (/.f64 8 y)))
(.f64 y (.f64 1/2 x))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 2 y) 4)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (/.f64 2 y))))
(.f64 (.f64 x 4) (/.f64 y 8))
(.f64 (/.f64 y 8) (.f64 x 4))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 2 (/.f64 4 y))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (/.f64 2 y))))
(.f64 (.f64 x 4) (/.f64 y 8))
(.f64 (/.f64 y 8) (.f64 x 4))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 8 y)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (/.f64 2 y))))
(.f64 (.f64 x 4) (/.f64 y 8))
(.f64 (/.f64 y 8) (.f64 x 4))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 2 (/.f64 4 x))))
(.f64 (.f64 y 4) (/.f64 1/2 (/.f64 4 x)))
(.f64 y (.f64 4 (/.f64 x 8)))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (/.f64 2 x) 4)))
(.f64 (.f64 y 4) (/.f64 1/2 (/.f64 4 x)))
(.f64 y (.f64 4 (/.f64 x 8)))
(.f64 (.f64 y 4) (/.f64 1 (/.f64 8 x)))
(.f64 (.f64 y 4) (/.f64 1/2 (/.f64 4 x)))
(.f64 y (.f64 4 (/.f64 x 8)))
(.f64 (.f64 x y) 1/2)
(.f64 y (.f64 1/2 x))
(.f64 (.f64 x (+.f64 y y)) 1/4)
(.f64 y (.f64 1/2 x))
(.f64 (.f64 x 1/2) y)
(.f64 y (.f64 1/2 x))
(.f64 (.f64 x 1/2) (/.f64 1 (/.f64 1 y)))
(.f64 y (.f64 1/2 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 2 y))))
(*.f64 (neg.f64 x) (/.f64 y -2))
(*.f64 x (neg.f64 (/.f64 y -2)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -2 y)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 2 y))))
(*.f64 (neg.f64 x) (/.f64 y -2))
(*.f64 x (neg.f64 (/.f64 y -2)))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (/.f64 2 x))))
(*.f64 (neg.f64 y) (/.f64 x -2))
(*.f64 y (neg.f64 (/.f64 x -2)))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 -2 x)))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (/.f64 2 x))))
(*.f64 (neg.f64 y) (/.f64 x -2))
(*.f64 y (neg.f64 (/.f64 x -2)))
(.f64 (.f64 y 1/2) x)
(.f64 y (.f64 1/2 x))
(.f64 (.f64 y 1/2) (/.f64 1 (/.f64 1 x)))
(.f64 y (.f64 1/2 x))
(*.f64 -1 (/.f64 x (neg.f64 (/.f64 2 y))))
(.f64 y (.f64 1/2 x))
(*.f64 -1 (/.f64 x (/.f64 -2 y)))
(.f64 y (.f64 1/2 x))
(*.f64 -1 (/.f64 y (neg.f64 (/.f64 2 x))))
(.f64 y (.f64 1/2 x))
(*.f64 -1 (/.f64 y (/.f64 -2 x)))
(.f64 y (.f64 1/2 x))
(.f64 1/2 (.f64 x y))
(.f64 y (.f64 1/2 x))
(*.f64 1/2 (/.f64 x (/.f64 1 y)))
(.f64 y (.f64 1/2 x))
(.f64 (/.f64 (.f64 x 1/2) 2) (+.f64 y y))
(.f64 y (.f64 1/2 x))
(*.f64 (/.f64 2 (/.f64 4 x)) y)
(.f64 y (.f64 1/2 x))
(*.f64 (/.f64 1 (/.f64 4 x)) (+.f64 y y))
(.f64 y (.f64 1/2 x))
(.f64 (/.f64 (.f64 y 1/2) 2) (+.f64 x x))
(.f64 y (.f64 1/2 x))
(*.f64 (/.f64 2 (/.f64 4 y)) x)
(.f64 y (.f64 1/2 x))
(*.f64 (/.f64 1 (/.f64 4 y)) (+.f64 x x))
(.f64 y (.f64 1/2 x))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 -2 x) x)
✓	0.2b	(*.f64 (/.f64 y x) (/.f64 -2 x))
✓	38.7b	(/.f64 (*.f64 (/.f64 y x) (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 (/.f64 y x) (/.f64 -2 x))
1.0ms	y	@	inf	(*.f64 (/.f64 y x) (/.f64 -2 x))
1.0ms	x	@	0	(*.f64 (/.f64 y x) (/.f64 -2 x))
0.0ms	y	@	-inf	(*.f64 (/.f64 y x) (/.f64 -2 x))
0.0ms	x	@	inf	(*.f64 (/.f64 y x) (/.f64 -2 x))

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2196×	`bool.json-1`
2196×	`bool.json-2`
1368×	`rational.json-simplify-35`
828×	`rational.json-1`
828×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	113	69
2	440	69
3	1898	45
4	6736	45

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 y x) (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x))
(*.f64 (/.f64 y x) (/.f64 -2 x))
(/.f64 (/.f64 -2 x) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (/.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 1 (*.f64 x (/.f64 -2 (*.f64 x x)))) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 -2 (*.f64 x x)) (/.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (*.f64 (/.f64 -2 x) (/.f64 x y))) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 x (/.f64 x (/.f64 y -2))) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 y (*.f64 x (/.f64 -2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (*.f64 (*.f64 (/.f64 y x) (*.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 -2 (*.f64 x x))) (/.f64 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) 2) (/.f64 (/.f64 y x) (*.f64 (/.f64 -2 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) 2) (*.f64 (/.f64 (/.f64 y x) (*.f64 (/.f64 -2 (*.f64 x x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) 2) (*.f64 1/2 (/.f64 y (*.f64 x (/.f64 -2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) 2) (*.f64 (/.f64 (/.f64 y x) 2) (/.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (/.f64 -2 x) (*.f64 2 (/.f64 x y)))) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 2 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (*.f64 (/.f64 -2 (*.f64 x x)) (+.f64 x x))) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y y) (/.f64 -2 (*.f64 x x))) (/.f64 1 (*.f64 (/.f64 -2 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y y) (/.f64 -2 (*.f64 x x))) (*.f64 (/.f64 1 (*.f64 (/.f64 -2 (*.f64 x x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y y) (/.f64 -2 (*.f64 x x))) (*.f64 1/2 (/.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (/.f64 -2 (*.f64 y (/.f64 -2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (/.f64 1 (/.f64 x (/.f64 y -2))) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (/.f64 1 (/.f64 -2 (*.f64 y (/.f64 -2 (*.f64 x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x (/.f64 -2 (*.f64 x x)))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 2) (/.f64 (/.f64 -2 x) (*.f64 (/.f64 -2 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 2) (*.f64 (/.f64 (/.f64 -2 x) (*.f64 (/.f64 -2 (*.f64 x x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 2) (*.f64 (/.f64 (/.f64 -2 x) 2) (/.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (/.f64 (*.f64 x x) (/.f64 -2 y)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 -2 x)) (*.f64 y (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 x y))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (*.f64 (/.f64 -2 (*.f64 x x)) 2)) (*.f64 (/.f64 -2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -2 x) (*.f64 (/.f64 -2 (*.f64 x x)) 2)) (*.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 -2 (*.f64 x x)) 2)) (*.f64 (+.f64 y y) (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -2 (*.f64 y (/.f64 -2 (*.f64 x x))))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y (/.f64 x x)) (*.f64 y (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y (/.f64 x x)) (*.f64 y (/.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 -2 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (/.f64 -2 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y x) (/.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y x) (/.f64 (neg.f64 (+.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 -2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 x) 2) (*.f64 2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y y) (/.f64 -2 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y x) 2) (*.f64 2 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y x) 2) (+.f64 (/.f64 (neg.f64 x) 2) (/.f64 (neg.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 x) (*.f64 (/.f64 y x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y x)) (-.f64 0 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 -2 x) (*.f64 (/.f64 y x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y (/.f64 -2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y (/.f64 -2 (*.f64 x x))) (*.f64 y (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y (/.f64 -2 (*.f64 x x))) (*.f64 y (/.f64 -2 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) 2) (/.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) 2) (*.f64 (/.f64 1 (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) 2) (*.f64 1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 (*.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 -2 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x x)) (*.f64 (/.f64 -2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 -2 (*.f64 x x)) (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 -2 (*.f64 x x)) (/.f64 -2 (*.f64 x x)))))))

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1412×	`rational.json-simplify-51`
1258×	`rational.json-simplify-44`
1124×	`rational.json-simplify-35`
1110×	`rational.json-simplify-43`
1048×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	1224
1	498	1224
2	1494	1224
3	6572	1206

Stop Event

1×	node limit

Counts

132 → 86

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
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(+.f64 0 (*.f64 y (/.f64 x x)))
(+.f64 (*.f64 y (/.f64 x x)) 0)
(-.f64 (*.f64 y (/.f64 x x)) 0)
(*.f64 y (/.f64 x x))
(.f64 y (.f64 (/.f64 1 (.f64 x (/.f64 -2 (.f64 x x)))) (/.f64 -2 x)))
(.f64 y (.f64 (/.f64 -2 (*.f64 x x)) (/.f64 x (/.f64 -2 x))))
(*.f64 x (/.f64 y x))
(.f64 x (.f64 (/.f64 1 (*.f64 (/.f64 -2 x) (/.f64 x y))) (/.f64 -2 x)))
(.f64 x (.f64 (/.f64 x (/.f64 x (/.f64 y -2))) (/.f64 -2 x)))
(*.f64 (/.f64 y x) x)
(.f64 (/.f64 -2 x) (/.f64 y (.f64 x (/.f64 -2 (*.f64 x x)))))
(.f64 (/.f64 -2 x) (.f64 (.f64 (/.f64 y x) (.f64 x -1/2)) x))
(.f64 (.f64 y (/.f64 -2 (*.f64 x x))) (/.f64 x (/.f64 -2 x)))
(.f64 1 (.f64 y (/.f64 x x)))
(.f64 (.f64 (/.f64 -2 x) 2) (/.f64 (/.f64 y x) (.f64 (/.f64 -2 (.f64 x x)) 2)))
(.f64 (.f64 (/.f64 -2 x) 2) (.f64 (/.f64 (/.f64 y x) (.f64 (/.f64 -2 (*.f64 x x)) 2)) 1))
(.f64 (.f64 (/.f64 -2 x) 2) (.f64 1/2 (/.f64 y (.f64 x (/.f64 -2 (*.f64 x x))))))
(.f64 (.f64 (/.f64 -2 x) 2) (*.f64 (/.f64 (/.f64 y x) 2) (/.f64 x (/.f64 -2 x))))
(.f64 (+.f64 x x) (/.f64 1 (.f64 2 (/.f64 x y))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 y x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (/.f64 -2 x) (.f64 2 (/.f64 x y)))) (/.f64 -2 x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (*.f64 2 (/.f64 x y))) 1))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (+.f64 x x)) x))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (.f64 (/.f64 -2 (.f64 x x)) (+.f64 x x))) (/.f64 -2 x)))
(.f64 (.f64 (+.f64 y y) (/.f64 -2 (.f64 x x))) (/.f64 1 (.f64 (/.f64 -2 (*.f64 x x)) 2)))
(.f64 (.f64 (+.f64 y y) (/.f64 -2 (.f64 x x))) (.f64 (/.f64 1 (.f64 (/.f64 -2 (.f64 x x)) 2)) 1))
(.f64 (.f64 (+.f64 y y) (/.f64 -2 (.f64 x x))) (.f64 1/2 (/.f64 x (/.f64 -2 x))))
(.f64 (.f64 x x) (/.f64 1 (/.f64 -2 (.f64 y (/.f64 -2 (.f64 x x))))))
(.f64 (.f64 x x) (*.f64 (/.f64 1 (/.f64 x (/.f64 y -2))) (/.f64 -2 x)))
(.f64 (.f64 x x) (.f64 (/.f64 1 (/.f64 -2 (.f64 y (/.f64 -2 (*.f64 x x))))) 1))
(.f64 (/.f64 y (.f64 x (/.f64 -2 (*.f64 x x)))) (/.f64 -2 x))
(.f64 (.f64 (/.f64 y x) 2) (/.f64 (/.f64 -2 x) (.f64 (/.f64 -2 (.f64 x x)) 2)))
(.f64 (.f64 (/.f64 y x) 2) (.f64 (/.f64 (/.f64 -2 x) (.f64 (/.f64 -2 (*.f64 x x)) 2)) 1))
(.f64 (.f64 (/.f64 y x) 2) (*.f64 (/.f64 (/.f64 -2 x) 2) (/.f64 x (/.f64 -2 x))))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) (/.f64 -2 y)) (/.f64 -2 x)))
(.f64 (/.f64 1 x) (.f64 y x))
(.f64 (/.f64 x (/.f64 -2 x)) (.f64 y (/.f64 -2 (*.f64 x x))))
(.f64 (.f64 y (/.f64 x x)) 1)
(.f64 (/.f64 1 (.f64 2 (/.f64 x y))) (+.f64 x x))
(.f64 (/.f64 (/.f64 y x) (.f64 (/.f64 -2 (.f64 x x)) 2)) (.f64 (/.f64 -2 x) 2))
(.f64 (/.f64 (/.f64 -2 x) (.f64 (/.f64 -2 (.f64 x x)) 2)) (.f64 (/.f64 y x) 2))
(.f64 (/.f64 1 (.f64 (/.f64 -2 (.f64 x x)) 2)) (.f64 (+.f64 y y) (/.f64 -2 (*.f64 x x))))
(.f64 (/.f64 1 (/.f64 -2 (.f64 y (/.f64 -2 (.f64 x x))))) (.f64 x x))
(+.f64 (.f64 y (/.f64 -2 (.f64 x x))) 0)
(+.f64 0 (.f64 y (/.f64 -2 (.f64 x x))))
(-.f64 (.f64 y (/.f64 -2 (.f64 x x))) 0)
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 (/.f64 y x) (/.f64 (neg.f64 x) 2))
(/.f64 (/.f64 y x) (/.f64 (neg.f64 (+.f64 x x)) 4))
(/.f64 (/.f64 -2 x) (/.f64 x y))
(/.f64 (.f64 y (/.f64 -2 (.f64 x x))) 1)
(/.f64 (.f64 (/.f64 -2 x) 2) (.f64 2 (/.f64 x y)))
(/.f64 (.f64 (+.f64 y y) (/.f64 -2 (.f64 x x))) 2)
(/.f64 (.f64 (/.f64 y x) 2) (.f64 2 (*.f64 x -1/2)))
(/.f64 (*.f64 (/.f64 y x) 2) (+.f64 (/.f64 (neg.f64 x) 2) (/.f64 (neg.f64 x) 2)))
(/.f64 (.f64 (/.f64 -2 x) (.f64 (/.f64 y x) 4)) 4)
(/.f64 (neg.f64 (/.f64 y x)) (-.f64 0 (*.f64 x -1/2)))
(/.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 (/.f64 x y)))
(/.f64 (.f64 2 (.f64 (/.f64 -2 x) (*.f64 (/.f64 y x) 4))) 8)
(+.f64 (/.f64 -2 (*.f64 x x)) 0)
(+.f64 0 (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) 0)
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(.f64 (/.f64 -2 (.f64 x x)) 1)
(.f64 1 (/.f64 -2 (.f64 x x)))
(.f64 (.f64 (/.f64 -2 x) 2) (/.f64 1 (+.f64 x x)))
(.f64 (.f64 (/.f64 -2 x) 2) (*.f64 (/.f64 1 (+.f64 x x)) 1))
(.f64 (.f64 (/.f64 -2 x) 2) (*.f64 1/2 (/.f64 1 x)))
(.f64 (.f64 (/.f64 -2 (*.f64 x x)) 2) 1/2)
(*.f64 (/.f64 1 x) (/.f64 -2 x))
(.f64 1/2 (.f64 (/.f64 -2 (*.f64 x x)) 2))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 (/.f64 -2 x) 2))

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 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(*.f64 -2 (/.f64 y (pow.f64 x 2)))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(+.f64 0 (*.f64 y (/.f64 x x)))
y
(+.f64 (*.f64 y (/.f64 x x)) 0)
y
(-.f64 (*.f64 y (/.f64 x x)) 0)
y
(*.f64 y (/.f64 x x))
y
(.f64 y (.f64 (/.f64 1 (.f64 x (/.f64 -2 (.f64 x x)))) (/.f64 -2 x)))
y
(.f64 y (.f64 (/.f64 -2 (*.f64 x x)) (/.f64 x (/.f64 -2 x))))
y
(*.f64 x (/.f64 y x))
y
(.f64 x (.f64 (/.f64 1 (*.f64 (/.f64 -2 x) (/.f64 x y))) (/.f64 -2 x)))
y
(.f64 x (.f64 (/.f64 x (/.f64 x (/.f64 y -2))) (/.f64 -2 x)))
y
(*.f64 (/.f64 y x) x)
y
(.f64 (/.f64 -2 x) (/.f64 y (.f64 x (/.f64 -2 (*.f64 x x)))))
y
(.f64 (/.f64 -2 x) (.f64 (.f64 (/.f64 y x) (.f64 x -1/2)) x))
y
(.f64 (.f64 y (/.f64 -2 (*.f64 x x))) (/.f64 x (/.f64 -2 x)))
y
(.f64 1 (.f64 y (/.f64 x x)))
y
(.f64 (.f64 (/.f64 -2 x) 2) (/.f64 (/.f64 y x) (.f64 (/.f64 -2 (.f64 x x)) 2)))
y
(.f64 (.f64 (/.f64 -2 x) 2) (.f64 (/.f64 (/.f64 y x) (.f64 (/.f64 -2 (*.f64 x x)) 2)) 1))
y
(.f64 (.f64 (/.f64 -2 x) 2) (.f64 1/2 (/.f64 y (.f64 x (/.f64 -2 (*.f64 x x))))))
y
(.f64 (.f64 (/.f64 -2 x) 2) (*.f64 (/.f64 (/.f64 y x) 2) (/.f64 x (/.f64 -2 x))))
y
(.f64 (+.f64 x x) (/.f64 1 (.f64 2 (/.f64 x y))))
y
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 y x)))
y
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (/.f64 -2 x) (.f64 2 (/.f64 x y)))) (/.f64 -2 x)))
y
(.f64 (+.f64 x x) (.f64 (/.f64 1 (*.f64 2 (/.f64 x y))) 1))
y
(.f64 (+.f64 y y) (.f64 (/.f64 1 (+.f64 x x)) x))
y
(.f64 (+.f64 y y) (.f64 (/.f64 1 (.f64 (/.f64 -2 (.f64 x x)) (+.f64 x x))) (/.f64 -2 x)))
y
(.f64 (.f64 (+.f64 y y) (/.f64 -2 (.f64 x x))) (/.f64 1 (.f64 (/.f64 -2 (*.f64 x x)) 2)))
y
(.f64 (.f64 (+.f64 y y) (/.f64 -2 (.f64 x x))) (.f64 (/.f64 1 (.f64 (/.f64 -2 (.f64 x x)) 2)) 1))
y
(.f64 (.f64 (+.f64 y y) (/.f64 -2 (.f64 x x))) (.f64 1/2 (/.f64 x (/.f64 -2 x))))
y
(.f64 (.f64 x x) (/.f64 1 (/.f64 -2 (.f64 y (/.f64 -2 (.f64 x x))))))
y
(.f64 (.f64 x x) (*.f64 (/.f64 1 (/.f64 x (/.f64 y -2))) (/.f64 -2 x)))
y
(.f64 (.f64 x x) (.f64 (/.f64 1 (/.f64 -2 (.f64 y (/.f64 -2 (*.f64 x x))))) 1))
y
(.f64 (/.f64 y (.f64 x (/.f64 -2 (*.f64 x x)))) (/.f64 -2 x))
y
(.f64 (.f64 (/.f64 y x) 2) (/.f64 (/.f64 -2 x) (.f64 (/.f64 -2 (.f64 x x)) 2)))
y
(.f64 (.f64 (/.f64 y x) 2) (.f64 (/.f64 (/.f64 -2 x) (.f64 (/.f64 -2 (*.f64 x x)) 2)) 1))
y
(.f64 (.f64 (/.f64 y x) 2) (*.f64 (/.f64 (/.f64 -2 x) 2) (/.f64 x (/.f64 -2 x))))
y
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) (/.f64 -2 y)) (/.f64 -2 x)))
y
(.f64 (/.f64 1 x) (.f64 y x))
y
(.f64 (/.f64 x (/.f64 -2 x)) (.f64 y (/.f64 -2 (*.f64 x x))))
y
(.f64 (.f64 y (/.f64 x x)) 1)
y
(.f64 (/.f64 1 (.f64 2 (/.f64 x y))) (+.f64 x x))
y
(.f64 (/.f64 (/.f64 y x) (.f64 (/.f64 -2 (.f64 x x)) 2)) (.f64 (/.f64 -2 x) 2))
y
(.f64 (/.f64 (/.f64 -2 x) (.f64 (/.f64 -2 (.f64 x x)) 2)) (.f64 (/.f64 y x) 2))
y
(.f64 (/.f64 1 (.f64 (/.f64 -2 (.f64 x x)) 2)) (.f64 (+.f64 y y) (/.f64 -2 (*.f64 x x))))
y
(.f64 (/.f64 1 (/.f64 -2 (.f64 y (/.f64 -2 (.f64 x x))))) (.f64 x x))
y
(+.f64 (.f64 y (/.f64 -2 (.f64 x x))) 0)
(.f64 y (/.f64 -2 (.f64 x x)))
(*.f64 y (/.f64 (/.f64 -2 x) x))
(+.f64 0 (.f64 y (/.f64 -2 (.f64 x x))))
(.f64 y (/.f64 -2 (.f64 x x)))
(*.f64 y (/.f64 (/.f64 -2 x) x))
(-.f64 (.f64 y (/.f64 -2 (.f64 x x))) 0)
(.f64 y (/.f64 -2 (.f64 x x)))
(*.f64 y (/.f64 (/.f64 -2 x) x))
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(/.f64 (/.f64 y x) (/.f64 (neg.f64 x) 2))
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(/.f64 (/.f64 y x) (/.f64 (neg.f64 (+.f64 x x)) 4))
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(/.f64 (/.f64 -2 x) (/.f64 x y))
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(/.f64 (.f64 y (/.f64 -2 (.f64 x x))) 1)
(.f64 y (/.f64 -2 (.f64 x x)))
(*.f64 y (/.f64 (/.f64 -2 x) x))
(/.f64 (.f64 (/.f64 -2 x) 2) (.f64 2 (/.f64 x y)))
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(/.f64 (.f64 (+.f64 y y) (/.f64 -2 (.f64 x x))) 2)
(.f64 y (/.f64 -2 (.f64 x x)))
(*.f64 y (/.f64 (/.f64 -2 x) x))
(/.f64 (.f64 (/.f64 y x) 2) (.f64 2 (*.f64 x -1/2)))
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(/.f64 (*.f64 (/.f64 y x) 2) (+.f64 (/.f64 (neg.f64 x) 2) (/.f64 (neg.f64 x) 2)))
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(/.f64 (.f64 (/.f64 -2 x) (.f64 (/.f64 y x) 4)) 4)
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(/.f64 (neg.f64 (/.f64 y x)) (-.f64 0 (*.f64 x -1/2)))
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(/.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 (/.f64 x y)))
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(/.f64 (.f64 2 (.f64 (/.f64 -2 x) (*.f64 (/.f64 y x) 4))) 8)
(/.f64 (/.f64 y x) (*.f64 x -1/2))
(/.f64 y (*.f64 x (/.f64 x -2)))
(/.f64 -2 (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 -2 x) (/.f64 y x))
(+.f64 (/.f64 -2 (*.f64 x x)) 0)
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(+.f64 0 (/.f64 -2 (*.f64 x x)))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(-.f64 (/.f64 -2 (*.f64 x x)) 0)
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(.f64 (/.f64 -2 (.f64 x x)) 1)
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(.f64 1 (/.f64 -2 (.f64 x x)))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(.f64 (.f64 (/.f64 -2 x) 2) (/.f64 1 (+.f64 x x)))
(.f64 (.f64 2 (/.f64 -2 x)) (/.f64 1 (+.f64 x x)))
(.f64 2 (.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x x))))
(.f64 2 (.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x 4))))
(.f64 (/.f64 2 (.f64 x 4)) (/.f64 -4 x))
(.f64 (.f64 (/.f64 -2 x) 2) (*.f64 (/.f64 1 (+.f64 x x)) 1))
(.f64 (.f64 2 (/.f64 -2 x)) (/.f64 1 (+.f64 x x)))
(.f64 2 (.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x x))))
(.f64 2 (.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x 4))))
(.f64 (/.f64 2 (.f64 x 4)) (/.f64 -4 x))
(.f64 (.f64 (/.f64 -2 x) 2) (*.f64 1/2 (/.f64 1 x)))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(.f64 (.f64 (/.f64 -2 (*.f64 x x)) 2) 1/2)
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(*.f64 (/.f64 1 x) (/.f64 -2 x))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(.f64 1/2 (.f64 (/.f64 -2 (*.f64 x x)) 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(.f64 (/.f64 1 (+.f64 x x)) (.f64 (/.f64 -2 x) 2))
(.f64 (.f64 2 (/.f64 -2 x)) (/.f64 1 (+.f64 x x)))
(.f64 2 (.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x x))))
(.f64 2 (.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x 4))))
(.f64 (/.f64 2 (.f64 x 4)) (/.f64 -4 x))

eval184.0ms (1.4%)

Compiler: Compiled 7058 to 4239 computations (39.9% saved)

prune299.0ms (2.3%)

Pruning

27 alts after pruning (15 fresh and 12 done)

	Pruned	Kept	Total
New	495	6	501
Fresh	0	9	9
Picked	1	0	1
Done	0	12	12
Total	496	27	523

Error

Counts

523 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
✓	16.9b	(/.f64 (/.f64 y x) (/.f64 1 x))
	15.0b	(/.f64 (/.f64 y x) (+.f64 (/.f64 1 x) (*.f64 x 1/6)))
	15.8b	(/.f64 (/.f64 y x) (.f64 (/.f64 1 (.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)))
	44.6b	(/.f64 (/.f64 2 x) (/.f64 2 (*.f64 y x)))
	43.5b	(/.f64 (+.f64 -1 (+.f64 1 (*.f64 y (sin.f64 x)))) x)
✓	44.6b	(/.f64 (+.f64 -1 1) x)
✓	13.8b	(/.f64 (*.f64 (sin.f64 x) y) x)
✓	43.6b	(/.f64 (*.f64 y x) x)
✓	1.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
✓	2.7b	(/.f64 (sin.f64 x) (/.f64 x y))
✓	2.4b	(/.f64 (sin.f64 x) (+.f64 (/.f64 x y) (.f64 y (.f64 x -1/6))))
	15.4b	(/.f64 x (/.f64 x y))
	43.7b	(/.f64 1 (/.f64 x (*.f64 x y)))
	31.0b	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
	44.6b	(+.f64 -1 (-.f64 1 (neg.f64 y)))
	20.0b	(*.f64 (/.f64 x (/.f64 x (/.f64 y x))) x)
✓	43.7b	(*.f64 (/.f64 x (/.f64 2 y)) (/.f64 2 x))
	42.4b	(.f64 (/.f64 1 (/.f64 x (/.f64 y x))) (.f64 x x))
	15.5b	(*.f64 (/.f64 1 (/.f64 -1 (/.f64 y x))) (neg.f64 x))
✓	13.8b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
	43.6b	(.f64 (/.f64 1 x) (.f64 y x))
	42.5b	(.f64 (.f64 x x) (/.f64 (/.f64 y x) x))
✓	30.5b	(*.f64 (sinh.f64 y) 1)
✓	1.2b	(*.f64 (sin.f64 x) (/.f64 y x))
	43.7b	(*.f64 2 (/.f64 (/.f64 y (/.f64 2 x)) x))
	31.0b	y

Compiler

Compiled 264 to 179 computations (32.2% saved)

regimes60.0ms (0.5%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	(sinh.f64 y)
15.0ms	x
14.0ms	y
10.0ms	(/.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 298 to 139 computations (53.4% saved)

regimes46.0ms (0.4%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	y
13.0ms	(sinh.f64 y)
13.0ms	x

Results

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

Compiler

Compiled 238 to 120 computations (49.6% saved)

regimes44.0ms (0.3%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
13.0ms	y
13.0ms	(sinh.f64 y)

Results

Error	Segments	Branch
1.2b	1	`x`
1.2b	1	`y`
1.2b	1	`(sinh.f64 y)`

Compiler

Compiled 231 to 118 computations (48.9% saved)

regimes31.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
15.0b	1	`x`
15.0b	1	`y`
15.0b	1	`(sinh.f64 y)`

Compiler

Compiled 158 to 88 computations (44.3% saved)

regimes22.0ms (0.2%)

Accuracy

Total -46.3b remaining (-299.9%)

Threshold costs -46.3b (-299.9%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
7.0ms	x

Results

Error	Segments	Branch
15.4b	1	`x`
15.4b	1	`y`

Compiler

Compiled 126 to 69 computations (45.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	104

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

Compiler

Compiled 49 to 32 computations (34.7% saved)

soundness133.0ms (1%)

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)

end203.0ms (1.6%)

Compiler: Compiled 39 to 18 computations (53.8% saved)