Details

analyze12.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
50%	12.5%	12.5%	75%	0%	0%	0%	3
75%	18.7%	6.2%	75%	0%	0%	0%	4
87.5%	21.8%	3.1%	75%	0%	0%	0%	5
93.8%	23.4%	1.6%	75%	0%	0%	0%	6
93.8%	23.4%	1.6%	75%	0%	0%	0%	7
96.9%	24.2%	0.8%	75%	0%	0%	0%	8
96.9%	24.2%	0.8%	75%	0%	0%	0%	9
98.4%	24.6%	0.4%	75%	0%	0%	0%	10
98.4%	24.6%	0.4%	75%	0%	0%	0%	11
99.2%	24.8%	0.2%	75%	0%	0%	0%	12

Compiler

Compiled 20 to 14 computations (30% saved)

sample2.1s (23.7%)

Results

951.0ms	2045×	body	1024	valid
840.0ms	5150×	body	256	valid
314.0ms	1050×	body	512	valid
8.0ms	11×	body	2048	valid

Bogosity

preprocess83.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1270×	`rational.json-simplify-48`
1162×	`rational.json-simplify-51`
1038×	`rational.json-simplify-50`
764×	`rational.json-simplify-44`
738×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	47	66
2	100	66
3	221	66
4	568	66
5	1557	66
6	4377	66
7	6440	66
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 v (sin.f64 e)) (+.f64 1 (.f64 v (cos.f64 e))))

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (.f64 v (sin.f64 e)) (+.f64 1 (.f64 v (cos.f64 e))))
(.f64 v (/.f64 (sin.f64 e) (+.f64 1 (.f64 v (cos.f64 e)))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1342×	`rational.json-simplify-2`
1248×	`rational.json-simplify-35`
880×	`rational.json-simplify-1`
832×	`rational.json-simplify-26`
764×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	28	33
2	56	33
3	119	33
4	285	33
5	755	33
6	1594	33
7	3116	33
8	5413	33
9	7271	33

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))

eval1.0ms (0%)

Compiler: Compiled 35 to 17 computations (51.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

0.1b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
▶	0.1b	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 v)
✓	0.0b	(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
✓	0.1b	(*.f64 e (cos.f64 v))
✓	0.1b	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))

Compiler

Compiled 39 to 15 computations (61.5% saved)

series10.0ms (0.1%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
1.0ms	v	@	inf	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
1.0ms	v	@	0	(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
1.0ms	v	@	-inf	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
1.0ms	e	@	0	(*.f64 e (cos.f64 v))

rewrite108.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2078×	`rational.json-1`
2078×	`rational.json-2`
2078×	`rational.json-3`
760×	`rational.json-simplify-49`
702×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	95	76
2	235	76
3	552	76
4	1383	76
5	5546	76

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

Inputs
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(*.f64 e (cos.f64 v))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(sin.f64 v)

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

simplify172.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1946×	`rational.json-simplify-35`
1362×	`rational.json-simplify-44`
1226×	`rational.json-simplify-47`
898×	`rational.json-simplify-61`
828×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	642	13316
1	2084	13068
2	7838	13016

Stop Event

1×	node limit

Counts

312 → 389

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
e
(+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e)
(+.f64 (.f64 1/24 (.f64 (pow.f64 v 4) e)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 v 6) e)) (+.f64 (.f64 1/24 (.f64 (pow.f64 v 4) e)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e)))
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(/.f64 v (+.f64 1 e))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 7) (+.f64 (.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(sin.f64 v)
(+.f64 (sin.f64 v) (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) e))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
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v
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(/.f64 (/.f64 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 1/2))) (/.f64 2 e)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 -1 (*.f64 e (cos.f64 v))) e)) -1)
(/.f64 (/.f64 (.f64 (sin.f64 v) 2) (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) e)) -2)
(/.f64 (/.f64 (.f64 (sin.f64 v) 4) (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) e)) -4)
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 v) 4)) (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) e)) 4)
(/.f64 (/.f64 e (/.f64 1 (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (/.f64 (+.f64 e e) (+.f64 1 (*.f64 e (cos.f64 v)))) (/.f64 2 (sin.f64 v)))
(/.f64 (/.f64 e (-.f64 -1 (*.f64 e (cos.f64 v)))) (/.f64 -1 (sin.f64 v)))
(/.f64 (/.f64 e 1/2) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))
(/.f64 (neg.f64 (+.f64 e e)) (-.f64 0 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v)))))
(/.f64 (neg.f64 (/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))) (-.f64 0 (/.f64 1 (sin.f64 v))))
(/.f64 (neg.f64 (neg.f64 e)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
(pow.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 1)
(+.f64 (*.f64 e (cos.f64 v)) 0)
(+.f64 0 (*.f64 e (cos.f64 v)))
(-.f64 (*.f64 e (cos.f64 v)) 0)
(/.f64 (*.f64 e (cos.f64 v)) 1)
(/.f64 (*.f64 (cos.f64 v) (+.f64 e e)) 2)
(/.f64 (.f64 (cos.f64 v) (.f64 e 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 v) (*.f64 e 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 v) (.f64 e 4))) (.f64 2 (.f64 (cos.f64 v) (.f64 e 4)))) 16)
(pow.f64 (*.f64 e (cos.f64 v)) 1)
(+.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) 0)
(+.f64 0 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) 0)
(.f64 (sin.f64 v) (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (.f64 (.f64 2 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v))))) 1/2))
(.f64 (sin.f64 v) (.f64 (/.f64 2 (+.f64 1 (*.f64 e (cos.f64 v)))) 1/2))
(.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (/.f64 1 (sin.f64 v)) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 1)
(.f64 -1 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v)))))
(.f64 -1 (.f64 (/.f64 (sin.f64 v) (-.f64 -1 (*.f64 e (cos.f64 v)))) 1))
(.f64 -1 (/.f64 (.f64 (sin.f64 v) 2) (neg.f64 (+.f64 2 (*.f64 (cos.f64 v) (+.f64 e e))))))
(.f64 (.f64 (sin.f64 v) 2) (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v)))))
(.f64 2 (.f64 (sin.f64 v) (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 1/2)) 1/2)
(.f64 (.f64 (sin.f64 v) 4) (/.f64 1 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4)))
(.f64 (.f64 (sin.f64 v) 4) (.f64 (/.f64 1 (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 4)) 1))
(.f64 (.f64 (sin.f64 v) 4) (.f64 1/4 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v))))))
(.f64 (.f64 (sin.f64 v) 4) (.f64 1/2 (/.f64 1/2 (+.f64 1 (.f64 e (cos.f64 v))))))
(.f64 4 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 4)))
(.f64 4 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 4))
(.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (sin.f64 v))
(.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1 (/.f64 1 (sin.f64 v))))
(.f64 (neg.f64 (sin.f64 v)) (/.f64 -1 (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (neg.f64 (sin.f64 v)) (.f64 (/.f64 -1 (+.f64 1 (*.f64 e (cos.f64 v)))) 1))
(.f64 (neg.f64 (sin.f64 v)) (.f64 -1 (/.f64 1 (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 1 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 2 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))))
(.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))) (/.f64 1 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))))
(.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))) (/.f64 1/2 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 (/.f64 (.f64 (sin.f64 v) 4) (+.f64 1 (*.f64 e (cos.f64 v)))) 1/4)
(.f64 (.f64 (sin.f64 v) 8) (/.f64 1 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 8)))
(.f64 (.f64 (sin.f64 v) -2) (/.f64 1/2 (-.f64 -1 (*.f64 e (cos.f64 v)))))
(.f64 (.f64 (sin.f64 v) -2) (/.f64 1 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) -2)))
(.f64 (.f64 (sin.f64 v) -2) (/.f64 1 (neg.f64 (+.f64 2 (*.f64 (cos.f64 v) (+.f64 e e))))))
(.f64 (/.f64 1 (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 (/.f64 1 (sin.f64 v)) (/.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))))
(.f64 1/2 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 1/2)))
(.f64 (/.f64 1/2 (+.f64 1 (.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) 2))
(.f64 (.f64 2 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v))))) (.f64 (sin.f64 v) 1/2))
(.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v)))) -1)
(.f64 (/.f64 1/2 (sin.f64 v)) (/.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 1/2 (sin.f64 v))) (/.f64 2 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 (.f64 (sin.f64 v) (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v))))) 2)
(.f64 (/.f64 2 (+.f64 1 (.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) 1/2))
(.f64 (/.f64 -1 (sin.f64 v)) (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 1/4 (/.f64 (.f64 (sin.f64 v) 4) (+.f64 1 (*.f64 e (cos.f64 v)))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4)) (.f64 (sin.f64 v) 4))
(.f64 (/.f64 -1 (+.f64 1 (.f64 e (cos.f64 v)))) (neg.f64 (sin.f64 v)))
(.f64 (.f64 (sin.f64 v) 1/2) (/.f64 2 (+.f64 1 (*.f64 e (cos.f64 v)))))
(.f64 (/.f64 2 (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))))
(.f64 (+.f64 (/.f64 1/2 (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v))))) (sin.f64 v))
(pow.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) 1)
(neg.f64 (/.f64 (sin.f64 v) (-.f64 -1 (*.f64 e (cos.f64 v)))))
(+.f64 (sin.f64 v) 0)
(+.f64 0 (sin.f64 v))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 v))))
(-.f64 (sin.f64 v) 0)
(-.f64 0 (neg.f64 (sin.f64 v)))
(*.f64 (sin.f64 v) 1)
(*.f64 1 (sin.f64 v))
(*.f64 -1 (neg.f64 (sin.f64 v)))
(.f64 (.f64 (sin.f64 v) 2) 1/2)
(.f64 2 (.f64 (sin.f64 v) 1/2))
(.f64 (.f64 (sin.f64 v) 4) 1/4)
(*.f64 4 (/.f64 (sin.f64 v) 4))
(*.f64 (neg.f64 (sin.f64 v)) -1)
(.f64 (.f64 (sin.f64 v) 8) 1/8)
(.f64 (.f64 (sin.f64 v) -2) -1/2)
(.f64 1/2 (.f64 (sin.f64 v) 2))
(.f64 1/4 (.f64 (sin.f64 v) 4))
(.f64 (.f64 (sin.f64 v) 1/2) 2)
(/.f64 (sin.f64 v) 1)
(/.f64 (*.f64 (sin.f64 v) 2) 2)
(/.f64 (*.f64 (sin.f64 v) 4) 4)
(/.f64 (neg.f64 (sin.f64 v)) -1)
(/.f64 (*.f64 (sin.f64 v) 8) 8)
(/.f64 (*.f64 (sin.f64 v) -2) -2)
(/.f64 (.f64 2 (.f64 (sin.f64 v) 8)) 16)
(/.f64 (neg.f64 (*.f64 (sin.f64 v) 4)) -4)
(/.f64 (neg.f64 (*.f64 (sin.f64 v) -2)) 2)
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 v) 4)) -1) 4)
(pow.f64 (sin.f64 v) 1)
(neg.f64 (neg.f64 (sin.f64 v)))

Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 (sin.f64 v) e) (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))))
(.f64 (sin.f64 v) (+.f64 e (neg.f64 (.f64 (cos.f64 v) (pow.f64 e 2)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 (.f64 (cos.f64 v) (pow.f64 e 2)) (sin.f64 (neg.f64 v))) (.f64 (sin.f64 v) (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e)))
(+.f64 (.f64 (cos.f64 v) (neg.f64 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (.f64 -1 (.f64 (pow.f64 (cos.f64 v) 3) (*.f64 (pow.f64 e 4) (sin.f64 v)))))))
(+.f64 (.f64 (.f64 (cos.f64 v) (pow.f64 e 2)) (sin.f64 (neg.f64 v))) (+.f64 (.f64 (sin.f64 v) (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e)) (.f64 (sin.f64 v) (neg.f64 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))))))
(+.f64 (.f64 (cos.f64 v) (neg.f64 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (sin.f64 v) (neg.f64 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))))) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 4))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))))) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 4))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
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v
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(.f64 (sin.f64 v) (.f64 2 (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (sin.f64 v) (.f64 2 (/.f64 -1/2 (-.f64 -1 (*.f64 e (cos.f64 v))))))
(.f64 (.f64 2 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v))))) (.f64 (sin.f64 v) 1/2))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v)))) -1)
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(.f64 (/.f64 1/2 (sin.f64 v)) (/.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 (/.f64 1/2 (sin.f64 v)) (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))))))))
(.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 1/2 (sin.f64 v))) (/.f64 2 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (/.f64 1/2 (sin.f64 v)) (/.f64 2 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))))
(.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (/.f64 1/2 (sin.f64 v)) (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (.f64 (sin.f64 v) -2) (-.f64 -1 (.f64 e (cos.f64 v))))))))
(.f64 (.f64 (sin.f64 v) (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v))))) 2)
(.f64 (sin.f64 v) (.f64 2 (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (sin.f64 v) (.f64 2 (/.f64 -1/2 (-.f64 -1 (*.f64 e (cos.f64 v))))))
(.f64 (/.f64 2 (+.f64 1 (.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) 1/2))
(.f64 (sin.f64 v) (.f64 1/2 (/.f64 2 (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (sin.f64 v) (.f64 1/2 (/.f64 -2 (-.f64 -1 (*.f64 e (cos.f64 v))))))
(.f64 (/.f64 -1 (sin.f64 v)) (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 (/.f64 -1 (sin.f64 v)) (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))))
(.f64 1/4 (/.f64 (.f64 (sin.f64 v) 4) (+.f64 1 (*.f64 e (cos.f64 v)))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4)) (.f64 (sin.f64 v) 4))
(.f64 (.f64 (sin.f64 v) 4) (/.f64 1 (.f64 4 (+.f64 1 (.f64 e (cos.f64 v))))))
(.f64 (sin.f64 v) (.f64 4 (/.f64 1/4 (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (/.f64 -1 (+.f64 1 (.f64 e (cos.f64 v)))) (neg.f64 (sin.f64 v)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(.f64 (.f64 (sin.f64 v) 1/2) (/.f64 2 (+.f64 1 (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (.f64 1/2 (/.f64 2 (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (sin.f64 v) (.f64 1/2 (/.f64 -2 (-.f64 -1 (*.f64 e (cos.f64 v))))))
(.f64 (/.f64 2 (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))))
(.f64 (+.f64 (/.f64 1/2 (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v))))) (sin.f64 v))
(.f64 (sin.f64 v) (.f64 2 (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (sin.f64 v) (.f64 2 (/.f64 -1/2 (-.f64 -1 (*.f64 e (cos.f64 v))))))
(pow.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) 1)
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(neg.f64 (/.f64 (sin.f64 v) (-.f64 -1 (*.f64 e (cos.f64 v)))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(+.f64 (sin.f64 v) 0)
(sin.f64 v)
(+.f64 0 (sin.f64 v))
(sin.f64 v)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 v))))
(+.f64 -1 (-.f64 (sin.f64 v) -1))
(-.f64 (sin.f64 v) 0)
(sin.f64 v)
(-.f64 0 (neg.f64 (sin.f64 v)))
(sin.f64 v)
(*.f64 (sin.f64 v) 1)
(sin.f64 v)
(*.f64 1 (sin.f64 v))
(sin.f64 v)
(*.f64 -1 (neg.f64 (sin.f64 v)))
(sin.f64 v)
(.f64 (.f64 (sin.f64 v) 2) 1/2)
(sin.f64 v)
(.f64 2 (.f64 (sin.f64 v) 1/2))
(sin.f64 v)
(.f64 (.f64 (sin.f64 v) 4) 1/4)
(sin.f64 v)
(*.f64 4 (/.f64 (sin.f64 v) 4))
(sin.f64 v)
(*.f64 (neg.f64 (sin.f64 v)) -1)
(sin.f64 v)
(.f64 (.f64 (sin.f64 v) 8) 1/8)
(sin.f64 v)
(.f64 (.f64 (sin.f64 v) -2) -1/2)
(sin.f64 v)
(.f64 1/2 (.f64 (sin.f64 v) 2))
(sin.f64 v)
(.f64 1/4 (.f64 (sin.f64 v) 4))
(sin.f64 v)
(.f64 (.f64 (sin.f64 v) 1/2) 2)
(sin.f64 v)
(/.f64 (sin.f64 v) 1)
(sin.f64 v)
(/.f64 (*.f64 (sin.f64 v) 2) 2)
(sin.f64 v)
(/.f64 (*.f64 (sin.f64 v) 4) 4)
(sin.f64 v)
(/.f64 (neg.f64 (sin.f64 v)) -1)
(sin.f64 v)
(/.f64 (*.f64 (sin.f64 v) 8) 8)
(sin.f64 v)
(/.f64 (*.f64 (sin.f64 v) -2) -2)
(sin.f64 v)
(/.f64 (.f64 2 (.f64 (sin.f64 v) 8)) 16)
(sin.f64 v)
(/.f64 (neg.f64 (*.f64 (sin.f64 v) 4)) -4)
(sin.f64 v)
(/.f64 (neg.f64 (*.f64 (sin.f64 v) -2)) 2)
(sin.f64 v)
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 v) 4)) -1) 4)
(sin.f64 v)
(pow.f64 (sin.f64 v) 1)
(sin.f64 v)
(neg.f64 (neg.f64 (sin.f64 v)))
(sin.f64 v)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 v)
✓	0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	0.1b	(*.f64 e (cos.f64 v))
✓	0.1b	(*.f64 e (sin.f64 v))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	e	@	0	(*.f64 e (sin.f64 v))
0.0ms	v	@	0	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.0ms	e	@	inf	(*.f64 e (sin.f64 v))
0.0ms	e	@	-inf	(*.f64 e (sin.f64 v))
0.0ms	v	@	0	(*.f64 e (sin.f64 v))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`rational.json-1`
1268×	`rational.json-2`
1268×	`rational.json-4`
1268×	`rational.json-3`
1260×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	97	44
2	256	44
3	651	44
4	1863	44
5	4604	44

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(*.f64 e (sin.f64 v))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

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

Outputs

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

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

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1312×	`rational.json-simplify-51`
1244×	`rational.json-simplify-35`
812×	`rational.json-simplify-41`
736×	`rational.json-simplify-2`
702×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	4441
1	555	4387
2	1270	4345
3	3072	4315
4	7076	4315

Stop Event

1×	node limit

Counts

119 → 136

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(+.f64 (*.f64 e (sin.f64 v)) 0)
(+.f64 0 (*.f64 e (sin.f64 v)))
(+.f64 -1 (-.f64 (*.f64 e (sin.f64 v)) -1))
(+.f64 (/.f64 (.f64 e (sin.f64 v)) 2) (/.f64 (.f64 e (sin.f64 v)) 2))
(+.f64 (-.f64 (*.f64 e (sin.f64 v)) -1) -1)
(-.f64 (*.f64 e (sin.f64 v)) 0)
(-.f64 0 (*.f64 e (neg.f64 (sin.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) 1)
(/.f64 (.f64 e (.f64 (sin.f64 v) 2)) 2)
(/.f64 (.f64 e (.f64 (sin.f64 v) 4)) 4)
(/.f64 (*.f64 e (neg.f64 (sin.f64 v))) -1)
(/.f64 (.f64 (.f64 e (*.f64 (sin.f64 v) 2)) 4) 8)
(/.f64 (.f64 (.f64 e (sin.f64 v)) -2) -2)
(/.f64 (.f64 2 (.f64 (.f64 e (.f64 (sin.f64 v) 2)) 4)) 16)
(pow.f64 (*.f64 e (sin.f64 v)) 1)
(neg.f64 (*.f64 e (neg.f64 (sin.f64 v))))
(+.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 0)
(+.f64 0 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))))
(+.f64 -1 (-.f64 1 (/.f64 (.f64 e (sin.f64 v)) (-.f64 -1 (.f64 e (cos.f64 v))))))
(+.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e)))) (/.f64 (.f64 e (sin.f64 v)) (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e)))))
(+.f64 (/.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 2) (/.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 2))
(-.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 0)
(-.f64 0 (/.f64 (.f64 e (sin.f64 v)) (-.f64 -1 (.f64 e (cos.f64 v)))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (.f64 e (sin.f64 v)) (/.f64 1 (+.f64 1 (*.f64 e (cos.f64 v)))))
(.f64 1 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) 1)
(.f64 -1 (/.f64 (.f64 e (sin.f64 v)) (-.f64 -1 (*.f64 e (cos.f64 v)))))
(.f64 (.f64 e (.f64 (sin.f64 v) 2)) (/.f64 -1/2 (-.f64 -1 (.f64 e (cos.f64 v)))))
(.f64 (.f64 e (.f64 (sin.f64 v) 2)) (.f64 (/.f64 1 (+.f64 1 (*.f64 e (cos.f64 v)))) 1/2))
(.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) (sin.f64 v))
(.f64 2 (/.f64 (.f64 e (sin.f64 v)) (+.f64 2 (*.f64 (cos.f64 v) (+.f64 e e)))))
(.f64 2 (/.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) 2))
(.f64 2 (.f64 e (.f64 (sin.f64 v) (/.f64 -1/2 (-.f64 -1 (.f64 e (cos.f64 v)))))))
(.f64 2 (.f64 (sin.f64 v) (.f64 e (/.f64 -1/2 (-.f64 -1 (.f64 e (cos.f64 v)))))))
(.f64 2 (.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 (sin.f64 v) 1/2)))
(.f64 2 (.f64 (.f64 e (sin.f64 v)) (/.f64 -1/2 (-.f64 -1 (.f64 e (cos.f64 v))))))
(.f64 (+.f64 e e) (.f64 (sin.f64 v) (/.f64 -1/2 (-.f64 -1 (*.f64 e (cos.f64 v))))))
(.f64 (+.f64 e e) (.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 (sin.f64 v) 1/2)))
(.f64 (.f64 e (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (.f64 e (cos.f64 v)))))) 1/2)
(.f64 (.f64 e (.f64 (sin.f64 v) 4)) (/.f64 1 (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 4)))
(.f64 (.f64 (sin.f64 v) 2) (.f64 e (/.f64 -1/2 (-.f64 -1 (.f64 e (cos.f64 v))))))
(.f64 (.f64 (sin.f64 v) 2) (.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (*.f64 e 1/2)))
(.f64 (.f64 (sin.f64 v) 2) (.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) 1/2))
(.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (*.f64 e (sin.f64 v)))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) e)
(.f64 (.f64 e (neg.f64 (sin.f64 v))) (/.f64 1 (-.f64 -1 (*.f64 e (cos.f64 v)))))
(.f64 (/.f64 (.f64 e -2) (-.f64 -1 (.f64 e (cos.f64 v)))) (.f64 (sin.f64 v) 1/2))
(.f64 (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (.f64 e (cos.f64 v))))) (.f64 e 1/2))
(.f64 (.f64 e (/.f64 -1/2 (-.f64 -1 (.f64 e (cos.f64 v))))) (.f64 (sin.f64 v) 2))
(.f64 (.f64 (sin.f64 v) (/.f64 -1/2 (-.f64 -1 (*.f64 e (cos.f64 v))))) (+.f64 e e))
(.f64 (/.f64 -1/2 (-.f64 -1 (.f64 e (cos.f64 v)))) (.f64 e (.f64 (sin.f64 v) 2)))
(.f64 1/2 (.f64 e (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (.f64 e (cos.f64 v)))))))
(.f64 (.f64 e 1/2) (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (.f64 e (cos.f64 v))))))
(.f64 (.f64 (sin.f64 v) 1/2) (/.f64 (.f64 e -2) (-.f64 -1 (.f64 e (cos.f64 v)))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) 1/2) (.f64 e (*.f64 (sin.f64 v) 2)))
(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 (sin.f64 v) 1/2)) (+.f64 e e))
(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 1/2)) (*.f64 (sin.f64 v) 2))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 -1 (*.f64 e (cos.f64 v)))) -1)
(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 2 (*.f64 (cos.f64 v) (+.f64 e e)))) 2)
(.f64 (/.f64 1 (-.f64 -1 (.f64 e (cos.f64 v)))) (*.f64 e (neg.f64 (sin.f64 v))))
(.f64 (/.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4)) (.f64 e (*.f64 (sin.f64 v) 4)))
(.f64 (.f64 e (.f64 (sin.f64 v) (/.f64 -1/2 (-.f64 -1 (.f64 e (cos.f64 v)))))) 2)
(.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 -1/2 (-.f64 -1 (.f64 e (cos.f64 v)))))) 2)
(.f64 (.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 (sin.f64 v) 1/2)) 2)
(.f64 (.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) 1/2) (.f64 (sin.f64 v) 2))
(.f64 (.f64 (.f64 e (sin.f64 v)) (/.f64 -1/2 (-.f64 -1 (.f64 e (cos.f64 v))))) 2)
(pow.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 1)
(neg.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 -1 (.f64 e (cos.f64 v)))))

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

eval193.0ms (2.2%)

Compiler: Compiled 14213 to 8190 computations (42.4% saved)

prune101.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	576	13	589
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	577	14	591

Error

0.0b

Counts

591 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 (/.f64 e (/.f64 1 (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
	3.6b	(/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) (/.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 1/2)) (+.f64 e e)))
	31.9b	(/.f64 (*.f64 v e) (+.f64 e 1))
	13.2b	(/.f64 (.f64 e (+.f64 -1 (-.f64 (sin.f64 v) -1))) (+.f64 1 (.f64 e (cos.f64 v))))
	0.2b	(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
▶	0.3b	(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
▶	0.3b	(/.f64 1 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))))
	0.4b	(/.f64 -1 (/.f64 (/.f64 (-.f64 -1 (*.f64 e (cos.f64 v))) (sin.f64 v)) e))
▶	0.2b	(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 1)))))
	7.6b	(.f64 (/.f64 2 (sin.f64 v)) (/.f64 (/.f64 e (/.f64 -1 (-.f64 -1 (.f64 e (cos.f64 v))))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))))
	1.7b	(*.f64 (sin.f64 v) e)
✓	0.1b	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
▶	31.9b	(*.f64 e (/.f64 v (+.f64 e 1)))
▶	3.6b	(.f64 e (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))))

Compiler

Compiled 525 to 327 computations (37.7% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 e (cos.f64 v))
✓	0.1b	(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 1)))))
✓	0.2b	(/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 1))
✓	0.2b	(/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 1))))

Compiler

Compiled 120 to 52 computations (56.7% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 1))
1.0ms	v	@	-inf	(/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 1))
1.0ms	v	@	inf	(/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 1))
0.0ms	v	@	0	(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 1)))))
0.0ms	e	@	inf	(/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 1))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`exponential.json-3`
1520×	`rational.json-1`
1520×	`rational.json-2`
1520×	`rational.json-4`
1520×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	195
1	132	195
2	378	67
3	1537	67
4	5136	67

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

(/.f64 (sin.f64 v) (*.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) (*.f64 e 1))))

(/.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) (*.f64 e 1))

(*.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (*.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) (*.f64 e 1)))))

Outputs

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

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

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

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational.json-simplify-43`
1186×	`rational.json-simplify-51`
946×	`rational.json-simplify-53`
940×	`rational.json-simplify-2`
888×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	295	6806
1	730	6666
2	1737	6622
3	5473	6554

Stop Event

1×	node limit

Counts

148 → 200

Calls

Call 1

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

Outputs
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
(/.f64 v (*.f64 (+.f64 1 e) e))
(/.f64 v (*.f64 e (+.f64 e 1)))
(/.f64 (/.f64 v e) (+.f64 e 1))
(/.f64 (/.f64 v (+.f64 e 1)) e)
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (.f64 (+.f64 1 e) e)))) (pow.f64 v 3)) (/.f64 v (*.f64 e (+.f64 1 e))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (.f64 e (+.f64 e 1))))) (pow.f64 v 3)) (/.f64 v (*.f64 e (+.f64 e 1))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (*.f64 1/6 (/.f64 (/.f64 -1 (-.f64 -1 e)) e))) (pow.f64 v 3)) (/.f64 (/.f64 v e) (+.f64 e 1)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (.f64 e (+.f64 e 1))))) (pow.f64 v 3)) (/.f64 (/.f64 v e) (+.f64 e 1)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 -1 (.f64 (-.f64 -1 e) e)))) (pow.f64 v 3)) (/.f64 (/.f64 v (+.f64 e 1)) e))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (.f64 (+.f64 1 e) e)))) (pow.f64 v 3)) (+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (.f64 (+.f64 1 e) e))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (.f64 (+.f64 1 e) e)))) e) (+.f64 1 e)))))) (/.f64 v (.f64 e (+.f64 1 e)))))
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(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (.f64 e (+.f64 e 1))))) (pow.f64 v 3)) (+.f64 (/.f64 (/.f64 v e) (+.f64 e 1)) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 1 (.f64 e (+.f64 e 1))) 1/120) (+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (.f64 e (+.f64 e 1))))) (*.f64 -1/2 (/.f64 e (+.f64 e 1)))))))))
(+.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 -1 (.f64 (-.f64 -1 e) e)))) (pow.f64 v 3)) (/.f64 (/.f64 v (+.f64 e 1)) e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 -1 (.f64 (-.f64 -1 e) e)) 1/120) (+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 -1 (.f64 (-.f64 -1 e) e)))) (*.f64 -1/2 (/.f64 e (+.f64 e 1))))))))
(+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (.f64 (+.f64 1 e) e)))) e) (+.f64 1 e))) (+.f64 (.f64 1/5040 (/.f64 1 (.f64 (+.f64 1 e) e))) (.f64 -1/2 (/.f64 (.f64 e (-.f64 (.f64 1/120 (/.f64 1 (.f64 (+.f64 1 e) e))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (.f64 (+.f64 1 e) e)))) e) (+.f64 1 e)))))) (+.f64 1 e))))))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (.f64 (+.f64 1 e) e)))) (pow.f64 v 3)) (+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (.f64 (+.f64 1 e) e))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (.f64 (+.f64 1 e) e)))) e) (+.f64 1 e)))))) (/.f64 v (*.f64 e (+.f64 1 e))))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (.f64 e (+.f64 e 1))))) (pow.f64 v 3)) (+.f64 (+.f64 (/.f64 v (.f64 e (+.f64 e 1))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 1 (.f64 e (+.f64 e 1))) 1/120) (+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (.f64 e (+.f64 e 1))))) (+.f64 e 1)))))))) (.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 e 1) 2)) 1/720) (+.f64 (.f64 1/24 (.f64 e (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (.f64 e (+.f64 e 1))))) (+.f64 e 1)))) (+.f64 (.f64 (/.f64 1 (.f64 e (+.f64 e 1))) 1/5040) (.f64 -1/2 (.f64 (-.f64 (.f64 (/.f64 1 (.f64 e (+.f64 e 1))) 1/120) (+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (*.f64 e (+.f64 e 1))))) (+.f64 e 1)))))) (/.f64 e (+.f64 e 1))))))))))
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(/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 2) (*.f64 2 (/.f64 1 e)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (+.f64 e e) (.f64 2 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (/.f64 (+.f64 e e) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))) 2)
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) (neg.f64 (/.f64 1 e)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (neg.f64 e) (neg.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (*.f64 e 4)) 4)
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 4))) 8)
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(pow.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v))))) 1)
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 v (+.f64 e 1))

Compiler

Compiled 20 to 12 computations (40% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(/.f64 v (+.f64 e 1))
0.0ms	v	@	0	(/.f64 v (+.f64 e 1))
0.0ms	v	@	-inf	(/.f64 v (+.f64 e 1))
0.0ms	e	@	0	(/.f64 v (+.f64 e 1))
0.0ms	e	@	inf	(/.f64 v (+.f64 e 1))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`rational.json-1`
1344×	`rational.json-2`
1344×	`rational.json-4`
1344×	`rational.json-3`
1336×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	158	13
3	365	13
4	914	13
5	3651	13

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

Inputs
(/.f64 v (+.f64 e 1))

Outputs

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

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational.json-simplify-53`
994×	`rational.json-simplify-2`
814×	`rational.json-simplify-44`
760×	`rational.json-simplify-47`
760×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	176	2851
1	379	2677
2	936	2443
3	3603	2425
4	6385	2119

Stop Event

1×	node limit

Counts

97 → 125

Calls

Call 1

Inputs
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
v
(+.f64 v (.f64 -1 (.f64 v e)))
(+.f64 v (+.f64 (.f64 -1 (.f64 v e)) (*.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (.f64 v e)) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2)))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (/.f64 v (+.f64 e 1)) 0)
(+.f64 0 (/.f64 v (+.f64 e 1)))
(+.f64 -1 (-.f64 1 (/.f64 v (-.f64 -1 e))))
(+.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 v (/.f64 -1/2 (-.f64 -1 e))))
(-.f64 (/.f64 v (+.f64 e 1)) 0)
(-.f64 0 (/.f64 v (-.f64 -1 e)))
(-.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (/.f64 v (.f64 (+.f64 e 1) -2)))
(-.f64 (*.f64 v (/.f64 -1/2 (-.f64 -1 e))) (/.f64 (/.f64 v (-.f64 -1 e)) 2))
(*.f64 v (/.f64 1 (+.f64 e 1)))
(.f64 v (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 e 1)))))
(.f64 v (.f64 1/2 (/.f64 2 (+.f64 e 1))))
(*.f64 1 (/.f64 v (+.f64 e 1)))
(.f64 (+.f64 e 1) (/.f64 (/.f64 1 v) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(*.f64 (/.f64 v (+.f64 e 1)) 1)
(*.f64 (+.f64 v v) (/.f64 -1/2 (-.f64 -1 e)))
(.f64 2 (.f64 v (/.f64 -1/2 (-.f64 -1 e))))
(*.f64 -1 (/.f64 v (-.f64 -1 e)))
(.f64 4 (/.f64 v (.f64 (+.f64 e 1) 4)))
(*.f64 4 (/.f64 (/.f64 v (+.f64 e 1)) 4))
(.f64 (.f64 v (/.f64 2 (+.f64 e 1))) 1/2)
(.f64 (.f64 v 4) (/.f64 1 (*.f64 (+.f64 e 1) 4)))
(.f64 (.f64 v 4) (*.f64 (/.f64 1 (+.f64 e 1)) 1/4))
(.f64 (.f64 v 4) (*.f64 1/2 (/.f64 -1/2 (-.f64 -1 e))))
(*.f64 (/.f64 1 (+.f64 e 1)) v)
(*.f64 (/.f64 1 (+.f64 e 1)) (/.f64 1 (/.f64 1 v)))
(*.f64 (neg.f64 v) (/.f64 1 (-.f64 -1 e)))
(.f64 (/.f64 (+.f64 e 1) v) (/.f64 1 (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (/.f64 (+.f64 e 1) v) (/.f64 2 (.f64 (/.f64 (+.f64 e 1) v) (*.f64 (+.f64 e 1) (/.f64 2 v)))))
(.f64 (.f64 (+.f64 e 1) (/.f64 2 v)) (/.f64 1 (.f64 (/.f64 (+.f64 e 1) v) (.f64 (+.f64 e 1) (/.f64 2 v)))))
(.f64 (.f64 (+.f64 e 1) (/.f64 2 v)) (/.f64 1/2 (*.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (/.f64 (.f64 v 4) (+.f64 e 1)) 1/4)
(.f64 (.f64 v 8) (/.f64 1 (*.f64 (+.f64 e 1) 8)))
(.f64 (/.f64 1 v) (/.f64 (+.f64 e 1) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 1/2 (.f64 v (/.f64 2 (+.f64 e 1))))
(*.f64 (/.f64 -1/2 (-.f64 -1 e)) (+.f64 v v))
(.f64 (.f64 v -2) (/.f64 1/2 (-.f64 -1 e)))
(.f64 (.f64 v -2) (/.f64 1 (*.f64 (+.f64 e 1) -2)))
(.f64 (.f64 2 (/.f64 1 (+.f64 e 1))) (*.f64 v 1/2))
(*.f64 (/.f64 v (-.f64 -1 e)) -1)
(.f64 (/.f64 1/2 v) (/.f64 (+.f64 e (+.f64 e 2)) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (.f64 (+.f64 e 1) (/.f64 1/2 v)) (/.f64 2 (*.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (/.f64 2 (+.f64 e 1)) (.f64 v 1/2))
(.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) 2)
(.f64 1/4 (/.f64 (.f64 v 4) (+.f64 e 1)))
(.f64 (/.f64 -1 v) (/.f64 (-.f64 -1 e) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (.f64 v 1/2) (*.f64 2 (/.f64 1 (+.f64 e 1))))
(.f64 (.f64 v 1/2) (/.f64 2 (+.f64 e 1)))
(.f64 (/.f64 2 v) (/.f64 (+.f64 e 1) (.f64 (/.f64 (+.f64 e 1) v) (*.f64 (+.f64 e 1) (/.f64 2 v)))))
(.f64 (/.f64 1 (.f64 (+.f64 e 1) 4)) (*.f64 v 4))
(*.f64 (/.f64 1 (-.f64 -1 e)) (neg.f64 v))
(.f64 (.f64 (/.f64 1 (+.f64 e 1)) 1/4) (*.f64 v 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 e 1)))) v)
(.f64 (.f64 1/2 (/.f64 2 (+.f64 e 1))) v)
(.f64 (.f64 1/2 (/.f64 -1/2 (-.f64 -1 e))) (*.f64 v 4))
(.f64 (/.f64 1 (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (/.f64 (+.f64 e 1) v))
(.f64 (/.f64 (+.f64 e (+.f64 e 2)) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (/.f64 1/2 v))
(.f64 (/.f64 2 (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (*.f64 (+.f64 e 1) (/.f64 1/2 v)))
(*.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1)))
(.f64 (/.f64 (+.f64 e 1) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (/.f64 1 v))
(.f64 (/.f64 (-.f64 -1 e) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (/.f64 -1 v))
(.f64 (/.f64 (/.f64 1 v) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (+.f64 e 1))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 e 1) v) (.f64 (+.f64 e 1) (/.f64 2 v)))) (.f64 (+.f64 e 1) (/.f64 2 v)))
(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 e 1) v) (*.f64 (+.f64 e 1) (/.f64 2 v)))) (/.f64 (+.f64 e 1) v))
(.f64 (/.f64 v (.f64 (+.f64 e 1) 4)) 4)
(.f64 (/.f64 1/2 (-.f64 -1 e)) (.f64 v -2))
(.f64 (/.f64 1/2 (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (*.f64 (+.f64 e 1) (/.f64 2 v)))
(.f64 (/.f64 (+.f64 e 1) (.f64 (/.f64 (+.f64 e 1) v) (*.f64 (+.f64 e 1) (/.f64 2 v)))) (/.f64 2 v))
(*.f64 (/.f64 (/.f64 v (+.f64 e 1)) 4) 4)
(.f64 (/.f64 1 (.f64 (+.f64 e 1) 8)) (*.f64 v 8))
(.f64 (/.f64 1 (.f64 (+.f64 e 1) -2)) (*.f64 v -2))
(pow.f64 (/.f64 v (+.f64 e 1)) 1)
(neg.f64 (/.f64 v (-.f64 -1 e)))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 e) v) (*.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))

Outputs
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
v
(+.f64 v (.f64 -1 (.f64 v e)))
(+.f64 v (*.f64 v (neg.f64 e)))
(+.f64 v (*.f64 e (neg.f64 v)))
(+.f64 v (+.f64 (.f64 -1 (.f64 v e)) (*.f64 v (pow.f64 e 2))))
(+.f64 v (*.f64 v (+.f64 (pow.f64 e 2) (neg.f64 e))))
(*.f64 v (+.f64 1 (+.f64 (pow.f64 e 2) (neg.f64 e))))
(+.f64 v (+.f64 (.f64 -1 (.f64 v e)) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2)))))
(+.f64 v (+.f64 (.f64 -1 (.f64 v e)) (+.f64 (.f64 v (pow.f64 e 2)) (.f64 v (*.f64 (pow.f64 e 3) -1)))))
(+.f64 v (+.f64 (.f64 v (neg.f64 e)) (.f64 v (+.f64 (pow.f64 e 2) (neg.f64 (pow.f64 e 3))))))
(+.f64 v (*.f64 v (+.f64 (neg.f64 (pow.f64 e 3)) (+.f64 (pow.f64 e 2) (neg.f64 e)))))
(+.f64 v (.f64 v (+.f64 (pow.f64 e 2) (.f64 -1 (+.f64 (pow.f64 e 3) e)))))
(+.f64 v (.f64 v (+.f64 (pow.f64 e 2) (.f64 -1 (+.f64 e (pow.f64 e 3))))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (/.f64 v e) (*.f64 -1 (/.f64 v (pow.f64 e 2))))
(+.f64 (/.f64 v e) (neg.f64 (/.f64 v (pow.f64 e 2))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (/.f64 v e) (+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (/.f64 v (pow.f64 e 3))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))))
(+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (/.f64 v (pow.f64 e 3)) (neg.f64 (/.f64 v (pow.f64 e 4))))))
(+.f64 (/.f64 v e) (+.f64 (+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (/.f64 v (pow.f64 e 3))) (neg.f64 (/.f64 v (pow.f64 e 4)))))
(+.f64 (/.f64 v e) (+.f64 (/.f64 v (pow.f64 e 3)) (*.f64 -1 (+.f64 (/.f64 v (pow.f64 e 2)) (/.f64 v (pow.f64 e 4))))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (/.f64 v e) (*.f64 -1 (/.f64 v (pow.f64 e 2))))
(+.f64 (/.f64 v e) (neg.f64 (/.f64 v (pow.f64 e 2))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (/.f64 v e) (+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (/.f64 v (pow.f64 e 3))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))))
(+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (/.f64 v (pow.f64 e 3)) (neg.f64 (/.f64 v (pow.f64 e 4))))))
(+.f64 (/.f64 v e) (+.f64 (+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (/.f64 v (pow.f64 e 3))) (neg.f64 (/.f64 v (pow.f64 e 4)))))
(+.f64 (/.f64 v e) (+.f64 (/.f64 v (pow.f64 e 3)) (*.f64 -1 (+.f64 (/.f64 v (pow.f64 e 2)) (/.f64 v (pow.f64 e 4))))))
(+.f64 (/.f64 v (+.f64 e 1)) 0)
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(+.f64 0 (/.f64 v (+.f64 e 1)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(+.f64 -1 (-.f64 1 (/.f64 v (-.f64 -1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(+.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 v (/.f64 -1/2 (-.f64 -1 e))))
(*.f64 (/.f64 -1/2 (-.f64 -1 e)) (+.f64 v v))
(.f64 v (.f64 2 (/.f64 -1/2 (-.f64 -1 e))))
(-.f64 (/.f64 v (+.f64 e 1)) 0)
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(-.f64 0 (/.f64 v (-.f64 -1 e)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(-.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (/.f64 v (.f64 (+.f64 e 1) -2)))
(-.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (/.f64 v (.f64 (+.f64 1 e) -2)))
(-.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 (/.f64 v (-.f64 e -1)) -1/2))
(-.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 v (/.f64 1/2 (-.f64 -1 e))))
(*.f64 v (-.f64 (/.f64 -1/2 (-.f64 -1 e)) (/.f64 1/2 (-.f64 -1 e))))
(-.f64 (*.f64 v (/.f64 -1/2 (-.f64 -1 e))) (/.f64 (/.f64 v (-.f64 -1 e)) 2))
(-.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (/.f64 v (.f64 (+.f64 1 e) -2)))
(-.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 (/.f64 v (-.f64 e -1)) -1/2))
(-.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 v (/.f64 1/2 (-.f64 -1 e))))
(*.f64 v (-.f64 (/.f64 -1/2 (-.f64 -1 e)) (/.f64 1/2 (-.f64 -1 e))))
(*.f64 v (/.f64 1 (+.f64 e 1)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 v (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 e 1)))))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 v (.f64 1/2 (/.f64 2 (+.f64 e 1))))
(.f64 v (.f64 1/2 (/.f64 2 (+.f64 1 e))))
(.f64 v (.f64 1/2 (/.f64 2 (-.f64 e -1))))
(.f64 (/.f64 2 (-.f64 e -1)) (.f64 v 1/2))
(*.f64 1/2 (/.f64 v (/.f64 (-.f64 -1 e) -2)))
(*.f64 1 (/.f64 v (+.f64 e 1)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (+.f64 e 1) (/.f64 (/.f64 1 v) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(*.f64 (/.f64 v (+.f64 e 1)) 1)
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(*.f64 (+.f64 v v) (/.f64 -1/2 (-.f64 -1 e)))
(+.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 v (/.f64 -1/2 (-.f64 -1 e))))
(*.f64 (/.f64 -1/2 (-.f64 -1 e)) (+.f64 v v))
(.f64 v (.f64 2 (/.f64 -1/2 (-.f64 -1 e))))
(.f64 2 (.f64 v (/.f64 -1/2 (-.f64 -1 e))))
(+.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 v (/.f64 -1/2 (-.f64 -1 e))))
(*.f64 (/.f64 -1/2 (-.f64 -1 e)) (+.f64 v v))
(.f64 v (.f64 2 (/.f64 -1/2 (-.f64 -1 e))))
(*.f64 -1 (/.f64 v (-.f64 -1 e)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 4 (/.f64 v (.f64 (+.f64 e 1) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(*.f64 4 (/.f64 (/.f64 v (+.f64 e 1)) 4))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (.f64 v (/.f64 2 (+.f64 e 1))) 1/2)
(.f64 v (.f64 1/2 (/.f64 2 (+.f64 1 e))))
(.f64 v (.f64 1/2 (/.f64 2 (-.f64 e -1))))
(.f64 (/.f64 2 (-.f64 e -1)) (.f64 v 1/2))
(*.f64 1/2 (/.f64 v (/.f64 (-.f64 -1 e) -2)))
(.f64 (.f64 v 4) (/.f64 1 (*.f64 (+.f64 e 1) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (.f64 v 4) (*.f64 (/.f64 1 (+.f64 e 1)) 1/4))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (.f64 v 4) (*.f64 1/2 (/.f64 -1/2 (-.f64 -1 e))))
(+.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 v (/.f64 -1/2 (-.f64 -1 e))))
(*.f64 (/.f64 -1/2 (-.f64 -1 e)) (+.f64 v v))
(.f64 v (.f64 2 (/.f64 -1/2 (-.f64 -1 e))))
(*.f64 (/.f64 1 (+.f64 e 1)) v)
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(*.f64 (/.f64 1 (+.f64 e 1)) (/.f64 1 (/.f64 1 v)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(*.f64 (neg.f64 v) (/.f64 1 (-.f64 -1 e)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (/.f64 (+.f64 e 1) v) (/.f64 1 (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (/.f64 (+.f64 1 e) v) (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))))
(.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) (/.f64 (-.f64 e -1) (.f64 v v))))
(*.f64 (/.f64 (-.f64 e -1) v) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 v (-.f64 e -1)))))
(*.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 v (-.f64 e -1)) (/.f64 (-.f64 e -1) v)))
(*.f64 (/.f64 (+.f64 1 e) v) (/.f64 (/.f64 v (/.f64 (-.f64 -1 e) v)) (-.f64 -1 e)))
(.f64 (/.f64 (+.f64 e 1) v) (/.f64 2 (.f64 (/.f64 (+.f64 e 1) v) (*.f64 (+.f64 e 1) (/.f64 2 v)))))
(.f64 (/.f64 (+.f64 1 e) v) (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))))
(.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) (/.f64 (-.f64 e -1) (.f64 v v))))
(*.f64 (/.f64 (-.f64 e -1) v) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 v (-.f64 e -1)))))
(*.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 v (-.f64 e -1)) (/.f64 (-.f64 e -1) v)))
(*.f64 (/.f64 (+.f64 1 e) v) (/.f64 (/.f64 v (/.f64 (-.f64 -1 e) v)) (-.f64 -1 e)))
(.f64 (.f64 (+.f64 e 1) (/.f64 2 v)) (/.f64 1 (.f64 (/.f64 (+.f64 e 1) v) (.f64 (+.f64 e 1) (/.f64 2 v)))))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (.f64 (+.f64 e 1) (/.f64 2 v)) (/.f64 1/2 (*.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (/.f64 (.f64 v 4) (+.f64 e 1)) 1/4)
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (.f64 v 8) (/.f64 1 (*.f64 (+.f64 e 1) 8)))
(.f64 (.f64 v 8) (/.f64 (/.f64 1 (+.f64 1 e)) 8))
(.f64 8 (.f64 v (/.f64 1/8 (-.f64 e -1))))
(.f64 (/.f64 1/8 (-.f64 e -1)) (.f64 v 8))
(.f64 8 (/.f64 v (.f64 (-.f64 e -1) 8)))
(.f64 (/.f64 -1/8 (-.f64 -1 e)) (.f64 v 8))
(.f64 (/.f64 1 v) (/.f64 (+.f64 e 1) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 1/2 (.f64 v (/.f64 2 (+.f64 e 1))))
(.f64 v (.f64 1/2 (/.f64 2 (+.f64 1 e))))
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(.f64 (/.f64 2 (-.f64 e -1)) (.f64 v 1/2))
(*.f64 1/2 (/.f64 v (/.f64 (-.f64 -1 e) -2)))
(*.f64 (/.f64 -1/2 (-.f64 -1 e)) (+.f64 v v))
(+.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 v (/.f64 -1/2 (-.f64 -1 e))))
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(.f64 (.f64 v -2) (/.f64 1/2 (-.f64 -1 e)))
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(.f64 v (.f64 -2 (/.f64 1/2 (-.f64 -1 e))))
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(.f64 v (.f64 -2 (/.f64 1/2 (-.f64 -1 e))))
(.f64 (.f64 2 (/.f64 1 (+.f64 e 1))) (*.f64 v 1/2))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(*.f64 (/.f64 v (-.f64 -1 e)) -1)
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (/.f64 1/2 v) (/.f64 (+.f64 e (+.f64 e 2)) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (.f64 (+.f64 e 1) (/.f64 1/2 v)) (/.f64 2 (*.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (/.f64 2 (+.f64 e 1)) (.f64 v 1/2))
(.f64 v (.f64 1/2 (/.f64 2 (+.f64 1 e))))
(.f64 v (.f64 1/2 (/.f64 2 (-.f64 e -1))))
(.f64 (/.f64 2 (-.f64 e -1)) (.f64 v 1/2))
(*.f64 1/2 (/.f64 v (/.f64 (-.f64 -1 e) -2)))
(.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) 2)
(+.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 v (/.f64 -1/2 (-.f64 -1 e))))
(*.f64 (/.f64 -1/2 (-.f64 -1 e)) (+.f64 v v))
(.f64 v (.f64 2 (/.f64 -1/2 (-.f64 -1 e))))
(.f64 1/4 (/.f64 (.f64 v 4) (+.f64 e 1)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (/.f64 -1 v) (/.f64 (-.f64 -1 e) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (.f64 v 1/2) (*.f64 2 (/.f64 1 (+.f64 e 1))))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (.f64 v 1/2) (/.f64 2 (+.f64 e 1)))
(.f64 v (.f64 1/2 (/.f64 2 (+.f64 1 e))))
(.f64 v (.f64 1/2 (/.f64 2 (-.f64 e -1))))
(.f64 (/.f64 2 (-.f64 e -1)) (.f64 v 1/2))
(*.f64 1/2 (/.f64 v (/.f64 (-.f64 -1 e) -2)))
(.f64 (/.f64 2 v) (/.f64 (+.f64 e 1) (.f64 (/.f64 (+.f64 e 1) v) (*.f64 (+.f64 e 1) (/.f64 2 v)))))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (/.f64 1 (.f64 (+.f64 e 1) 4)) (*.f64 v 4))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(*.f64 (/.f64 1 (-.f64 -1 e)) (neg.f64 v))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (.f64 (/.f64 1 (+.f64 e 1)) 1/4) (*.f64 v 4))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 e 1)))) v)
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (.f64 1/2 (/.f64 2 (+.f64 e 1))) v)
(.f64 v (.f64 1/2 (/.f64 2 (+.f64 1 e))))
(.f64 v (.f64 1/2 (/.f64 2 (-.f64 e -1))))
(.f64 (/.f64 2 (-.f64 e -1)) (.f64 v 1/2))
(*.f64 1/2 (/.f64 v (/.f64 (-.f64 -1 e) -2)))
(.f64 (.f64 1/2 (/.f64 -1/2 (-.f64 -1 e))) (*.f64 v 4))
(+.f64 (.f64 v (/.f64 -1/2 (-.f64 -1 e))) (.f64 v (/.f64 -1/2 (-.f64 -1 e))))
(*.f64 (/.f64 -1/2 (-.f64 -1 e)) (+.f64 v v))
(.f64 v (.f64 2 (/.f64 -1/2 (-.f64 -1 e))))
(.f64 (/.f64 1 (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (/.f64 (+.f64 e 1) v))
(.f64 (/.f64 (+.f64 1 e) v) (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))))
(.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) (/.f64 (-.f64 e -1) (.f64 v v))))
(*.f64 (/.f64 (-.f64 e -1) v) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 v (-.f64 e -1)))))
(*.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 v (-.f64 e -1)) (/.f64 (-.f64 e -1) v)))
(*.f64 (/.f64 (+.f64 1 e) v) (/.f64 (/.f64 v (/.f64 (-.f64 -1 e) v)) (-.f64 -1 e)))
(.f64 (/.f64 (+.f64 e (+.f64 e 2)) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (/.f64 1/2 v))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (/.f64 2 (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (*.f64 (+.f64 e 1) (/.f64 1/2 v)))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(*.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (/.f64 (+.f64 e 1) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (/.f64 1 v))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (/.f64 (-.f64 -1 e) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (/.f64 -1 v))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (/.f64 (/.f64 1 v) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (+.f64 e 1))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 e 1) v) (.f64 (+.f64 e 1) (/.f64 2 v)))) (.f64 (+.f64 e 1) (/.f64 2 v)))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 e 1) v) (*.f64 (+.f64 e 1) (/.f64 2 v)))) (/.f64 (+.f64 e 1) v))
(.f64 (/.f64 (+.f64 1 e) v) (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))))
(.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) (/.f64 (-.f64 e -1) (.f64 v v))))
(*.f64 (/.f64 (-.f64 e -1) v) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 v (-.f64 e -1)))))
(*.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 v (-.f64 e -1)) (/.f64 (-.f64 e -1) v)))
(*.f64 (/.f64 (+.f64 1 e) v) (/.f64 (/.f64 v (/.f64 (-.f64 -1 e) v)) (-.f64 -1 e)))
(.f64 (/.f64 v (.f64 (+.f64 e 1) 4)) 4)
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (/.f64 1/2 (-.f64 -1 e)) (.f64 v -2))
(.f64 v (.f64 -2 (/.f64 -1/2 (+.f64 1 e))))
(.f64 -2 (.f64 v (/.f64 -1/2 (-.f64 e -1))))
(.f64 v (.f64 -2 (/.f64 1/2 (-.f64 -1 e))))
(.f64 (/.f64 1/2 (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))) (*.f64 (+.f64 e 1) (/.f64 2 v)))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(.f64 (/.f64 (+.f64 e 1) (.f64 (/.f64 (+.f64 e 1) v) (*.f64 (+.f64 e 1) (/.f64 2 v)))) (/.f64 2 v))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(*.f64 (/.f64 (/.f64 v (+.f64 e 1)) 4) 4)
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(.f64 (/.f64 1 (.f64 (+.f64 e 1) 8)) (*.f64 v 8))
(.f64 (.f64 v 8) (/.f64 (/.f64 1 (+.f64 1 e)) 8))
(.f64 8 (.f64 v (/.f64 1/8 (-.f64 e -1))))
(.f64 (/.f64 1/8 (-.f64 e -1)) (.f64 v 8))
(.f64 8 (/.f64 v (.f64 (-.f64 e -1) 8)))
(.f64 (/.f64 -1/8 (-.f64 -1 e)) (.f64 v 8))
(.f64 (/.f64 1 (.f64 (+.f64 e 1) -2)) (*.f64 v -2))
(.f64 v (.f64 -2 (/.f64 -1/2 (+.f64 1 e))))
(.f64 -2 (.f64 v (/.f64 -1/2 (-.f64 e -1))))
(.f64 v (.f64 -2 (/.f64 1/2 (-.f64 -1 e))))
(pow.f64 (/.f64 v (+.f64 e 1)) 1)
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(neg.f64 (/.f64 v (-.f64 -1 e)))
(/.f64 v (+.f64 1 e))
(/.f64 v (-.f64 e -1))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 e) v) (*.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v))))
(.f64 (+.f64 1 e) (/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 (+.f64 1 e) (.f64 v v))) v))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 1 (-.f64 e -1)) v))))
(*.f64 (-.f64 e -1) (/.f64 v (/.f64 (-.f64 e -1) (/.f64 -1 (-.f64 -1 e)))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 v)
	0.1b	(*.f64 e (cos.f64 v))
✓	0.1b	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
✓	0.2b	(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))

Compiler

Compiled 39 to 15 computations (61.5% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite94.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`rational.json-1`
1974×	`rational.json-2`
1634×	`rational.json-simplify-35`
946×	`exponential.json-3`
946×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	99	60
2	279	60
3	791	60
4	2634	60
5	7040	60

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))

Outputs

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

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

simplify159.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1232×	`rational.json-simplify-2`
1150×	`rational.json-simplify-53`
734×	`rational.json-simplify-51`
714×	`rational.json-simplify-41`
612×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	268	5595
1	586	5529
2	1207	5505
3	3422	5487
4	5843	5483
5	7776	5483

Stop Event

1×	node limit

Counts

127 → 154

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 (sin.f64 v) e) (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))))
(.f64 (sin.f64 v) (+.f64 e (neg.f64 (.f64 (cos.f64 v) (pow.f64 e 2)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 e 3) (sin.f64 v)))))
(+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) (+.f64 e (neg.f64 (.f64 (cos.f64 v) (pow.f64 e 2))))))
(.f64 (sin.f64 v) (+.f64 (neg.f64 (.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 e (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (+.f64 (.f64 (sin.f64 v) e) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 e 3) (sin.f64 v)))) (.f64 -1 (.f64 (pow.f64 (cos.f64 v) 3) (*.f64 (pow.f64 e 4) (sin.f64 v))))))
(+.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) (+.f64 e (neg.f64 (.f64 (cos.f64 v) (pow.f64 e 2)))))) (.f64 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)) (sin.f64 (neg.f64 v))))
(+.f64 (.f64 (sin.f64 v) (+.f64 (neg.f64 (.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) (.f64 (pow.f64 (cos.f64 v) 3) (neg.f64 (*.f64 (sin.f64 v) (pow.f64 e 4)))))
(.f64 (sin.f64 v) (+.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (.f64 -1 (+.f64 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)) (*.f64 (cos.f64 v) (pow.f64 e 2))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))))) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (+.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))))
(+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))) (neg.f64 (+.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))))) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (+.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))))
(+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))) (neg.f64 (+.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(+.f64 (.f64 e (/.f64 v (+.f64 e 1))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))))
(+.f64 (.f64 v (/.f64 e (+.f64 e 1))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (.f64 e (/.f64 v (+.f64 e 1))) (+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1))))))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))))))
(+.f64 (.f64 v (/.f64 e (+.f64 e 1))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 e (.f64 (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1)) -1/2)))))))
(+.f64 (.f64 v (/.f64 e (+.f64 e 1))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1)))))))))
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(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(+.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 0)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(+.f64 0 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(-.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 0)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 1 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) 1)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 -1 (/.f64 e (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (.f64 (sin.f64 v) 2) (/.f64 1/2 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (+.f64 e e) (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 2))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (+.f64 e e) (.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) 1/2))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (+.f64 e e) (.f64 (/.f64 1 (+.f64 2 (*.f64 (cos.f64 v) (+.f64 e e)))) (sin.f64 v)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 2 (/.f64 e (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v)))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 2 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 e))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 2 (/.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) 2))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)) (sin.f64 v)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 2 (.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) 2) e))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (.f64 (sin.f64 v) 4) (/.f64 1 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e) 4)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (.f64 e (/.f64 (.f64 (sin.f64 v) 2) (+.f64 1 (.f64 e (cos.f64 v))))) 1/2)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (.f64 e 4) (/.f64 1 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) 4)))
(.f64 (.f64 e 4) (/.f64 1 (.f64 4 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 e (.f64 4 (/.f64 1/4 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 e (.f64 4 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 1/4))))
(.f64 (neg.f64 (sin.f64 v)) (/.f64 1 (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) e)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (neg.f64 e) (/.f64 -1 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) e)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1 (/.f64 1 e)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) (sin.f64 v))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1 (/.f64 1 (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (/.f64 1 e)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 e (/.f64 1 (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 1/2 (.f64 e (/.f64 (.f64 (sin.f64 v) 2) (+.f64 1 (.f64 e (cos.f64 v))))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 2) (+.f64 e e))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 1/2 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (*.f64 (sin.f64 v) 2))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) 1/2) (+.f64 e e))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 1 (/.f64 1 e)) (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 1 (/.f64 1 (sin.f64 v))) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 e (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (sin.f64 v))) -1)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 (sin.f64 v) (/.f64 1 e)) (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 e (/.f64 1 (sin.f64 v))) (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 e (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v)))) 2)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 e))) 2)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e) 4)) (.f64 (sin.f64 v) 4))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) 2) 2)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) 4)) (.f64 e 4))
(.f64 (.f64 e 4) (/.f64 1 (.f64 4 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 e (.f64 4 (/.f64 1/4 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 e (.f64 4 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 1/4))))
(.f64 (/.f64 1 (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) e)) (neg.f64 (sin.f64 v)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (/.f64 -1 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (neg.f64 e))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (+.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 2) (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) 2)) e)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(pow.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 1)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(neg.f64 (/.f64 e (/.f64 (-.f64 -1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))))
(+.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)) 0)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(+.f64 0 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(-.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)) 0)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(-.f64 0 (/.f64 (-.f64 -1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 1 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 1 (sin.f64 v)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) 1)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 -1 (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) (/.f64 1/2 (sin.f64 v)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) (*.f64 (/.f64 1 (sin.f64 v)) 1/2))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))) 1/2)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 2 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) 2)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 2 (/.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) 2))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4) (/.f64 1 (.f64 (sin.f64 v) 4)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)) 4) 1/4)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (/.f64 1 (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (/.f64 -1 (sin.f64 v)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (sin.f64 v)) -1)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (.f64 2 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 2))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (/.f64 1/2 (sin.f64 v)) (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (.f64 (/.f64 1 (sin.f64 v)) 1/2) (+.f64 2 (*.f64 (cos.f64 v) (+.f64 e e))))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) 2)) 2)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) 2) (*.f64 2 (/.f64 1 (sin.f64 v))))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 1/4 (.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)) 4))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) 2) 2)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (/.f64 1 (.f64 (sin.f64 v) 4)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (/.f64 -1 (sin.f64 v)) (-.f64 -1 (.f64 e (cos.f64 v))))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(.f64 (+.f64 (/.f64 1/2 (sin.f64 v)) (/.f64 1/2 (sin.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(pow.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)) 1)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(neg.f64 (/.f64 (-.f64 -1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 e (cos.f64 v))
	0.1b	(*.f64 e (sin.f64 v))
✓	0.2b	(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))
✓	0.3b	(/.f64 1 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))))

Compiler

Compiled 47 to 17 computations (63.8% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	e	@	inf	(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))
2.0ms	e	@	0	(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))
1.0ms	v	@	0	(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))
0.0ms	v	@	inf	(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))
0.0ms	v	@	-inf	(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))

rewrite111.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2100×	`rational.json-1`
2100×	`rational.json-2`
1602×	`rational.json-simplify-35`
970×	`exponential.json-3`
970×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	107	66
2	293	66
3	822	66
4	2674	66
5	7251	66

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))

Outputs

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

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

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1396×	`rational.json-simplify-51`
1046×	`rational.json-simplify-44`
990×	`rational.json-simplify-47`
878×	`rational.json-simplify-35`
794×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	329	7342
1	737	7266
2	1640	7230
3	5488	7182

Stop Event

1×	node limit

Counts

164 → 208

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
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(neg.f64 (neg.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))))
(neg.f64 (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 (*.f64 e (cos.f64 v))) e) (sin.f64 v)))

Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (.f64 (pow.f64 e 2) (sin.f64 v)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (+.f64 e (neg.f64 (.f64 (cos.f64 v) (pow.f64 e 2)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (.f64 (pow.f64 e 2) (sin.f64 v)))) (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 e 3) (sin.f64 v))) (.f64 (sin.f64 v) e)))
(+.f64 (.f64 (.f64 (cos.f64 v) (pow.f64 e 2)) (neg.f64 (sin.f64 v))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 (neg.f64 (.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) (+.f64 e (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (.f64 (pow.f64 e 2) (sin.f64 v)))) (+.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 e 3) (sin.f64 v))) (.f64 (sin.f64 v) e)) (.f64 -1 (.f64 (pow.f64 (cos.f64 v) 3) (*.f64 (pow.f64 e 4) (sin.f64 v))))))
(+.f64 (.f64 (.f64 (cos.f64 v) (pow.f64 e 2)) (neg.f64 (sin.f64 v))) (+.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)) (neg.f64 (sin.f64 v)))))
(+.f64 (.f64 (cos.f64 v) (neg.f64 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) (+.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(.f64 (sin.f64 v) (+.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (.f64 -1 (+.f64 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)) (*.f64 (cos.f64 v) (pow.f64 e 2))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e)) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (+.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))))
(+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))) (.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 4)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e)) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (.f64 -1 (+.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))))
(+.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (pow.f64 (cos.f64 v) 3)))) (.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 4)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(+.f64 (.f64 e (/.f64 v (+.f64 e 1))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))))
(+.f64 (.f64 v (/.f64 e (+.f64 e 1))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (.f64 e (/.f64 v (+.f64 e 1))) (+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1))))))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 e (.f64 (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1)) -1/2))))) (+.f64 (.f64 v (/.f64 e (+.f64 e 1))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))))))
(+.f64 (.f64 v (/.f64 e (+.f64 e 1))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 e (.f64 -1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1)))))))))
(+.f64 (+.f64 (.f64 v (/.f64 e (+.f64 e 1))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (*.f64 (/.f64 e (+.f64 e 1)) -1/2))))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(+.f64 (.f64 e (/.f64 v (+.f64 e 1))) (+.f64 (+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1))))))) (.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) -1/5040) (+.f64 (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1)))))) (+.f64 e 1)))) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) -1/720) (.f64 1/24 (.f64 e (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1))))))))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))))))
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(.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 4 (/.f64 (/.f64 1 e) (.f64 (sin.f64 v) 4))))
(.f64 4 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 1/4 (.f64 (sin.f64 v) e))))
(.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 4 (/.f64 1/4 (.f64 (sin.f64 v) e))))
(.f64 (/.f64 -1 (sin.f64 v)) (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) e))
(.f64 (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) e) (/.f64 -1 (sin.f64 v)))
(.f64 (+.f64 (/.f64 (/.f64 1/2 e) (sin.f64 v)) (/.f64 (/.f64 1/2 e) (sin.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 (/.f64 1/2 (.f64 (sin.f64 v) e)) (/.f64 1/2 (.f64 (sin.f64 v) e))))
(.f64 -2 (.f64 (-.f64 -1 (*.f64 e (cos.f64 v))) (/.f64 (/.f64 1/2 e) (sin.f64 v))))
(pow.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))) 1)
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(neg.f64 (neg.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v)))))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(neg.f64 (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (.f64 e (sin.f64 v))))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 (*.f64 e (cos.f64 v))) e) (sin.f64 v)))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
✓	0.1b	(.f64 e (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))))
✓	0.2b	(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))))
✓	16.7b	(.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))))

Compiler

Compiled 132 to 50 computations (62.1% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite117.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2040×	`rational.json-1`
2040×	`rational.json-2`
2040×	`rational.json-4`
2040×	`rational.json-3`
1036×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	247
1	128	247
2	361	119
3	1280	119
4	5018	119

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

Inputs

(*.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))))

(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))

(*.f64 e (*.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))))

Outputs

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

simplify142.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1592×	`rational.json-simplify-44`
1440×	`rational.json-simplify-47`
1312×	`rational.json-simplify-49`
878×	`rational.json-simplify-2`
686×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	751	17732
1	2566	16438

Stop Event

1×	node limit

Counts

298 → 392

Calls

Call 1

Inputs
(sin.f64 v)
(+.f64 (sin.f64 v) (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) e))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(/.f64 v (+.f64 1 e))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 7) (+.f64 (.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))
(+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2)) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (/.f64 e (pow.f64 (+.f64 1 e) 3)))))))
(+.f64 (.f64 (pow.f64 v 6) (-.f64 (.f64 2/45 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (/.f64 e (pow.f64 (+.f64 1 e) 3)))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 e) e)) (.f64 -1/2 (.f64 e (+.f64 1 e))))) (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 4))) (.f64 1/12 (/.f64 e (pow.f64 (+.f64 1 e) 3))))))) (+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2)) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (/.f64 e (pow.f64 (+.f64 1 e) 3))))))))
(+.f64 (.f64 (pow.f64 v 6) (-.f64 (.f64 2/45 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (/.f64 e (pow.f64 (+.f64 1 e) 3)))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 e) e)) (.f64 -1/2 (.f64 e (+.f64 1 e))))) (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 4))) (.f64 1/12 (/.f64 e (pow.f64 (+.f64 1 e) 3))))))) (+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 v 8) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 4))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 2/45 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 4))) (+.f64 (.f64 1/12 (/.f64 e (pow.f64 (+.f64 1 e) 3))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (/.f64 e (pow.f64 (+.f64 1 e) 3)))) (+.f64 (.f64 -1/2 (.f64 e (+.f64 1 e))) (.f64 -1/2 (.f64 (+.f64 1 e) e)))) (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 e) e)) (.f64 -1/2 (.f64 e (+.f64 1 e))))) (pow.f64 (+.f64 1 e) 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (/.f64 e (pow.f64 (+.f64 1 e) 3)))) (+.f64 (.f64 1/24 (.f64 e (+.f64 1 e))) (+.f64 (.f64 1/4 (pow.f64 e 2)) (.f64 1/24 (.f64 (+.f64 1 e) e))))) (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 1/315 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1/360 (/.f64 e (pow.f64 (+.f64 1 e) 3))))))))) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (/.f64 e (pow.f64 (+.f64 1 e) 3)))))))))
(/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) 2))
(/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) 2))
(/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) 2))
(/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) 2))
(/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) 2))
(/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) 2))
(/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) 2))
(/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) 2))
(pow.f64 (sin.f64 v) 2)
(+.f64 (.f64 -2 (.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (cos.f64 v) e))) (pow.f64 (sin.f64 v) 2))
(+.f64 (.f64 -2 (.f64 (pow.f64 (sin.f64 v) 2) (.f64 (cos.f64 v) e))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -4 (.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (pow.f64 e 2))) (pow.f64 (sin.f64 v) 2)))
(+.f64 (.f64 -2 (.f64 (pow.f64 (sin.f64 v) 2) (.f64 (cos.f64 v) e))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -4 (.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (pow.f64 e 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 (.f64 (cos.f64 v) (+.f64 (.f64 -4 (.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))))) (.f64 -2 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3))) (pow.f64 (sin.f64 v) 2))))
(/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 2) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 2) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (pow.f64 e 4))) (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 5))) (.f64 -2 (/.f64 (+.f64 (.f64 -4 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (cos.f64 v)))) (pow.f64 e 5))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 2) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (pow.f64 e 4))) (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))
(/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 2) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 2) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (pow.f64 e 4))) (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -4 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (.f64 (cos.f64 v) (pow.f64 e 5)))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 2) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (pow.f64 e 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (.f64 2 (/.f64 (pow.f64 (sin.f64 v) 2) (.f64 (pow.f64 (cos.f64 v) 5) (pow.f64 e 5))))))))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
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(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))) (sin.f64 v)))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (.f64 (sin.f64 v) 2)) (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v)))))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (*.f64 e (cos.f64 v)))))) 1/2)
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v))))) (sin.f64 v))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))) (/.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))
(/.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))))) (neg.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))))
(pow.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 1)

Outputs
(sin.f64 v)
(+.f64 (sin.f64 v) (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (.f64 (sin.f64 v) (.f64 (*.f64 (cos.f64 v) e) -1)))
(+.f64 (sin.f64 v) (.f64 (sin.f64 v) (neg.f64 (.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 (.f64 (sin.f64 v) (.f64 (.f64 (cos.f64 v) e) -1)) (.f64 (sin.f64 v) (pow.f64 (*.f64 (cos.f64 v) e) 2))))
(+.f64 (sin.f64 v) (.f64 (sin.f64 v) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) 2) (neg.f64 (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) e))))))
(+.f64 (sin.f64 v) (+.f64 (+.f64 (.f64 (sin.f64 v) (.f64 (.f64 (cos.f64 v) e) -1)) (.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 3)))))
(+.f64 (sin.f64 v) (+.f64 (.f64 (sin.f64 v) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) 2) (neg.f64 (.f64 (cos.f64 v) e)))) (.f64 (pow.f64 (*.f64 (cos.f64 v) e) 3) (neg.f64 (sin.f64 v)))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (*.f64 (cos.f64 v) e) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))) (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 3))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))) (+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 (*.f64 (cos.f64 v) e) 3))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 3)) (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 4))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))) (+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 3)) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 4))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (*.f64 (cos.f64 v) e) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))) (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 3))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))) (+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 (*.f64 (cos.f64 v) e) 3))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 3)) (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 4))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 2))) (+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 3)) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 (.f64 (cos.f64 v) e) 4))))))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(+.f64 (/.f64 v (+.f64 e 1)) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (+.f64 e 1)))))))
(+.f64 (/.f64 v (+.f64 e 1)) (.f64 (pow.f64 v 3) (neg.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (*.f64 1/6 (/.f64 -1 (-.f64 -1 e)))))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(+.f64 (+.f64 (/.f64 v (+.f64 e 1)) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (+.f64 e 1))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 1 (+.f64 e 1)) 1/120) (+.f64 (.f64 1/2 (.f64 e (/.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (+.f64 e 1)))) (+.f64 e 1)))) (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24)))))
(+.f64 (/.f64 v (+.f64 e 1)) (+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 -1 (-.f64 -1 e)) 1/120) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 -1 (-.f64 -1 e)))) (/.f64 e (+.f64 e 1)))) (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24)))) (.f64 (pow.f64 v 3) (neg.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 -1 (-.f64 -1 e))))))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 7) (+.f64 (.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 1 (+.f64 e 1)) 1/120) (+.f64 (.f64 1/2 (.f64 e (/.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (+.f64 e 1)))) (+.f64 e 1)))) (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24)))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (+.f64 e 1)))))) (+.f64 (/.f64 v (+.f64 e 1)) (.f64 -1 (.f64 (pow.f64 v 7) (+.f64 (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 e 1)) 1/120) (+.f64 (.f64 1/2 (.f64 e (/.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (+.f64 e 1)))) (+.f64 e 1)))) (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24))) (+.f64 e 1)))) (+.f64 (+.f64 (.f64 (.f64 e (/.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 1 (+.f64 e 1)))) (+.f64 e 1))) -1/24) (.f64 (/.f64 1 (+.f64 e 1)) 1/5040)) (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) -1/720))))))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 -1 (-.f64 -1 e)) 1/120) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 -1 (-.f64 -1 e)))) (/.f64 e (+.f64 e 1)))) (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24)))) (+.f64 (/.f64 v (+.f64 e 1)) (+.f64 (.f64 (pow.f64 v 3) (neg.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 -1 (-.f64 -1 e)))))) (.f64 (pow.f64 v 7) (neg.f64 (+.f64 (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 (/.f64 -1 (-.f64 -1 e)) 1/120) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 -1 (-.f64 -1 e)))) (/.f64 e (+.f64 e 1)))) (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24))) (+.f64 e 1)))) (+.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) -1/720) (+.f64 (.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2))) (.f64 1/6 (/.f64 -1 (-.f64 -1 e)))) (/.f64 e (+.f64 e 1))) -1/24) (*.f64 (/.f64 -1 (-.f64 -1 e)) 1/5040)))))))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (cos.f64 v) e) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (cos.f64 v) e) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (cos.f64 v) e) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (cos.f64 v) e) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (cos.f64 v) e) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (cos.f64 v) e) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (cos.f64 v) e) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (cos.f64 v) e) 1))
(/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))
(/.f64 (pow.f64 v 2) (pow.f64 (+.f64 e 1) 2))
(+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2)) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (/.f64 e (pow.f64 (+.f64 1 e) 3)))))))
(+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 e 1) 2)) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (.f64 -1 (/.f64 e (pow.f64 (+.f64 e 1) 3)))))))
(+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 e 1) 2)) (.f64 (pow.f64 v 4) (neg.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 e 1) 2))) (neg.f64 (/.f64 e (pow.f64 (+.f64 e 1) 3)))))))
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(.f64 (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (.f64 e (cos.f64 v))))) (.f64 (/.f64 (sin.f64 v) (+.f64 (.f64 e (.f64 (cos.f64 v) 2)) 2)) 1))
(.f64 (.f64 (sin.f64 v) (/.f64 2 (+.f64 (.f64 (cos.f64 v) e) 1))) (/.f64 (sin.f64 v) (+.f64 2 (.f64 (cos.f64 v) (*.f64 2 e)))))
(/.f64 (.f64 (sin.f64 v) (.f64 (sin.f64 v) (/.f64 2 (+.f64 (.f64 (cos.f64 v) e) 1)))) (+.f64 2 (.f64 (cos.f64 v) (*.f64 e 2))))
(.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 1 (+.f64 1 (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(.f64 (/.f64 1 (sin.f64 v)) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))) (sin.f64 v))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))) (.f64 (/.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (+.f64 (.f64 e (.f64 (cos.f64 v) 2)) 2)) (*.f64 (sin.f64 v) 2))
(.f64 (sin.f64 v) (.f64 2 (/.f64 (/.f64 (sin.f64 v) (+.f64 (.f64 (cos.f64 v) e) 1)) (+.f64 2 (.f64 (cos.f64 v) (*.f64 2 e))))))
(.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 2 (.f64 (cos.f64 v) (.f64 e 2))))) (.f64 (sin.f64 v) 2))
(.f64 (/.f64 (sin.f64 v) (+.f64 (.f64 e (.f64 (cos.f64 v) 2)) 2)) (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (*.f64 e (cos.f64 v))))))
(.f64 (.f64 (sin.f64 v) (/.f64 2 (+.f64 (.f64 (cos.f64 v) e) 1))) (/.f64 (sin.f64 v) (+.f64 2 (.f64 (cos.f64 v) (*.f64 2 e)))))
(/.f64 (.f64 (sin.f64 v) (.f64 (sin.f64 v) (/.f64 2 (+.f64 (.f64 (cos.f64 v) e) 1)))) (+.f64 2 (.f64 (cos.f64 v) (*.f64 e 2))))
(.f64 (fabs.f64 (sin.f64 v)) (fabs.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(.f64 (fabs.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))) (fabs.f64 (sin.f64 v)))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(.f64 (fabs.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) (fabs.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(.f64 (fabs.f64 (.f64 (sin.f64 v) 2)) (fabs.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (+.f64 (.f64 e (*.f64 (cos.f64 v) 2)) 2))))
(fabs.f64 (.f64 (sin.f64 v) (.f64 2 (/.f64 (/.f64 (sin.f64 v) (+.f64 (.f64 (cos.f64 v) e) 1)) (+.f64 2 (.f64 (cos.f64 v) (*.f64 2 e)))))))
(fabs.f64 (.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 2 (.f64 (cos.f64 v) (.f64 e 2))))) (.f64 (sin.f64 v) 2)))
(.f64 (fabs.f64 (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (.f64 e (cos.f64 v)))))) (fabs.f64 (/.f64 (sin.f64 v) (+.f64 (.f64 e (*.f64 (cos.f64 v) 2)) 2))))
(fabs.f64 (.f64 (.f64 (sin.f64 v) (/.f64 2 (+.f64 (.f64 (cos.f64 v) e) 1))) (/.f64 (sin.f64 v) (+.f64 2 (.f64 (cos.f64 v) (*.f64 2 e))))))
(fabs.f64 (/.f64 (.f64 (sin.f64 v) (.f64 (sin.f64 v) (/.f64 2 (+.f64 (.f64 (cos.f64 v) e) 1)))) (+.f64 2 (.f64 (cos.f64 v) (*.f64 e 2)))))
(.f64 (fabs.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v))))) (fabs.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(pow.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))) 1)
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(fabs.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(fabs.f64 (neg.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))))
(.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1))))
(.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (*.f64 (cos.f64 v) e))))
(+.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 0)
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(+.f64 0 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(-.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 0)
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(/.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 1)
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (.f64 e (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (*.f64 e (cos.f64 v)))))) 2)
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (.f64 e (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (.f64 e (.f64 (sin.f64 v) (.f64 2 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))))) (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (.f64 e (cos.f64 v))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) 4) 4)
(.f64 4 (/.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 (*.f64 (cos.f64 v) e) 1)) 4))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 (*.f64 (cos.f64 v) e) 1)) 1)
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (sin.f64 v)) (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (sin.f64 v)) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (+.f64 (.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 4) (.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 4)) 8)
(.f64 4 (/.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 (*.f64 (cos.f64 v) e) 1)) 4))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 (*.f64 (cos.f64 v) e) 1)) 1)
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))) (sin.f64 v)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (.f64 (sin.f64 v) 2)) (/.f64 1/2 (+.f64 1 (*.f64 e (cos.f64 v)))))
(/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (/.f64 1/2 (.f64 (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (.f64 (cos.f64 v) e) 1)))) (/.f64 (sin.f64 v) (*.f64 (sin.f64 v) 2)))))
(.f64 1/2 (/.f64 (.f64 e (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (.f64 (cos.f64 v) e)))) (/.f64 -1/2 (-.f64 -1 (*.f64 (cos.f64 v) e)))))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (.f64 (sin.f64 v) (/.f64 -2 (-.f64 -1 (*.f64 e (cos.f64 v)))))) 1/2)
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v))))) (sin.f64 v))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (sin.f64 v)) (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (sin.f64 v))) (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (.f64 (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (*.f64 (cos.f64 v) e) 1)))) (/.f64 (sin.f64 v) (/.f64 1 (sin.f64 v))))))
(/.f64 (.f64 (.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 (cos.f64 v) e))) (-.f64 -1 (.f64 (cos.f64 v) e)))) (/.f64 e (/.f64 1 (sin.f64 v)))) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (.f64 (cos.f64 v) e) 1))))
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))) (/.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))))) (neg.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))
(pow.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) 1)
(/.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (cos.f64 v) e) 1))

eval576.0ms (6.4%)

Compiler: Compiled 44131 to 24988 computations (43.4% saved)

prune302.0ms (3.4%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1306	20	1326
Fresh	3	5	8
Picked	1	0	1
Done	3	2	5
Total	1313	27	1340

Error

Counts

1340 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	25.6b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (sin.f64 v)) (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (sin.f64 v))) (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (.f64 (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (*.f64 (cos.f64 v) e) 1)))) (/.f64 (sin.f64 v) (/.f64 1 (sin.f64 v))))))
	3.6b	(/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) (/.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 1/2)) (+.f64 e e)))
	31.9b	(/.f64 (*.f64 v e) (+.f64 e 1))
	13.2b	(/.f64 (.f64 e (+.f64 -1 (-.f64 (sin.f64 v) -1))) (+.f64 1 (.f64 e (cos.f64 v))))
▶	0.2b	(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
	31.9b	(/.f64 e (/.f64 (+.f64 e 1) v))
▶	1.8b	(/.f64 e (/.f64 1 (sin.f64 v)))
	31.3b	(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
	1.9b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 v)) e))
	32.0b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
	1.8b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
	31.4b	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))
	0.4b	(/.f64 1 (neg.f64 (/.f64 (/.f64 (-.f64 -1 (*.f64 e (cos.f64 v))) e) (sin.f64 v))))
▶	1.7b	(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) e))))
	0.3b	(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 2 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1/2 (/.f64 (sin.f64 v) (.f64 e (+.f64 1 (*.f64 e (cos.f64 v)))))))))
	7.6b	(.f64 (/.f64 2 (sin.f64 v)) (/.f64 (/.f64 e (/.f64 -1 (-.f64 -1 (.f64 e (cos.f64 v))))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))))
	1.7b	(*.f64 (sin.f64 v) e)
	35.8b	(.f64 e (/.f64 (.f64 v v) (*.f64 v (+.f64 1 e))))
✓	0.1b	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
✓	31.9b	(*.f64 e (/.f64 v (+.f64 e 1)))
	32.2b	(.f64 e (+.f64 v (.f64 v (neg.f64 e))))
	35.8b	(.f64 e (.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 v (-.f64 e -1)) (/.f64 (-.f64 e -1) v))))
	4.7b	(.f64 e (.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)) (pow.f64 (sin.f64 v) 2)))
	7.0b	(.f64 e (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))))
▶	31.9b	(.f64 e (.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1))))
	35.9b	(.f64 e (neg.f64 (/.f64 (/.f64 (-.f64 -1 e) v) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v)))))
▶	32.8b	(*.f64 e v)

Compiler

Compiled 1040 to 647 computations (37.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 v)
✓	0.0b	(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)
✓	0.1b	(*.f64 (cos.f64 v) e)
✓	0.2b	(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))

Compiler

Compiled 38 to 15 computations (60.5% saved)

series4.0ms (0%)

Counts

3 → 52

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
0.0ms	v	@	-inf	(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
0.0ms	v	@	0	(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
0.0ms	v	@	-inf	(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)
0.0ms	v	@	inf	(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)

rewrite99.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1960×	`rational.json-1`
1960×	`rational.json-2`
1574×	`rational.json-simplify-35`
926×	`exponential.json-3`
926×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	97	67
2	273	67
3	796	67
4	2660	67
5	6962	67

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(*.f64 (cos.f64 v) e)
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)

Outputs

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

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

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

simplify127.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1312×	`rational.json-simplify-2`
1024×	`rational.json-simplify-53`
960×	`rational.json-simplify-51`
812×	`rational.json-simplify-41`
632×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	275	5178
1	610	5100
2	1290	5076
3	3693	5046
4	6448	5042

Stop Event

1×	node limit

Counts

140 → 185

Calls

Call 1

Inputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
e
(+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e)
(+.f64 (.f64 1/24 (.f64 (pow.f64 v 4) e)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 v 6) e)) (+.f64 (.f64 1/24 (.f64 (pow.f64 v 4) e)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e)))
(/.f64 (+.f64 1 e) e)
(+.f64 1 (+.f64 (/.f64 1 e) (*.f64 -1/2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (/.f64 1 e) (+.f64 (.f64 1/24 (pow.f64 v 4)) (.f64 -1/2 (pow.f64 v 2)))))
(+.f64 1 (+.f64 (/.f64 1 e) (+.f64 (.f64 1/24 (pow.f64 v 4)) (+.f64 (.f64 -1/2 (pow.f64 v 2)) (*.f64 -1/720 (pow.f64 v 6))))))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 1 e)
(+.f64 (cos.f64 v) (/.f64 1 e))
(+.f64 (cos.f64 v) (/.f64 1 e))
(+.f64 (cos.f64 v) (/.f64 1 e))
(cos.f64 v)
(+.f64 (/.f64 1 e) (cos.f64 v))
(+.f64 (/.f64 1 e) (cos.f64 v))
(+.f64 (/.f64 1 e) (cos.f64 v))
(cos.f64 v)
(+.f64 (/.f64 1 e) (cos.f64 v))
(+.f64 (/.f64 1 e) (cos.f64 v))
(+.f64 (/.f64 1 e) (cos.f64 v))
(+.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1))) 0)
(+.f64 0 (.f64 (sin.f64 v) (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1))))
(-.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1))) 0)
(.f64 (sin.f64 v) (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 (cos.f64 v) e) 1)))
(.f64 1 (.f64 (sin.f64 v) (/.f64 e (+.f64 (*.f64 (cos.f64 v) e) 1))))
(.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (*.f64 (cos.f64 v) e) 1))) 1)
(.f64 (+.f64 e e) (/.f64 (sin.f64 v) (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e)))))
(.f64 (.f64 (sin.f64 v) 2) (/.f64 (/.f64 e (+.f64 (*.f64 (cos.f64 v) e) 1)) 2))
(.f64 (.f64 (sin.f64 v) 2) (.f64 (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)) 1/2))
(.f64 (.f64 (sin.f64 v) 2) (.f64 (/.f64 1 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e)))) e))
(.f64 2 (/.f64 (sin.f64 v) (/.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) e)))
(.f64 2 (/.f64 e (.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (/.f64 2 (sin.f64 v)))))
(.f64 2 (/.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (*.f64 (cos.f64 v) e) 1))) 2))
(.f64 2 (.f64 (/.f64 (sin.f64 v) (+.f64 2 (*.f64 (cos.f64 v) (+.f64 e e)))) e))
(.f64 2 (.f64 (/.f64 (/.f64 e (+.f64 (*.f64 (cos.f64 v) e) 1)) 2) (sin.f64 v)))
(.f64 -1 (/.f64 (sin.f64 v) (/.f64 (-.f64 -1 (.f64 (cos.f64 v) e)) e)))
(.f64 (.f64 e 4) (/.f64 1 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (sin.f64 v)) 4)))
(.f64 (.f64 (sin.f64 v) (.f64 2 (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)))) 1/2)
(.f64 (.f64 (sin.f64 v) 4) (/.f64 1 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e) 4)))
(.f64 (neg.f64 e) (/.f64 1 (/.f64 (-.f64 -1 (.f64 (cos.f64 v) e)) (sin.f64 v))))
(.f64 (neg.f64 (sin.f64 v)) (/.f64 -1 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e)))
(.f64 (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)) (sin.f64 v))
(.f64 (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)) (/.f64 1 (/.f64 1 (sin.f64 v))))
(.f64 (/.f64 (sin.f64 v) (+.f64 (.f64 (cos.f64 v) e) 1)) e)
(.f64 (/.f64 (sin.f64 v) (+.f64 (.f64 (cos.f64 v) e) 1)) (/.f64 1 (/.f64 1 e)))
(.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 v) e) 1)) (/.f64 e (/.f64 1 (sin.f64 v))))
(.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 v) e) 1)) (/.f64 (sin.f64 v) (/.f64 1 e)))
(.f64 1/2 (.f64 (sin.f64 v) (.f64 2 (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)))))
(.f64 (/.f64 (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)) 2) (*.f64 (sin.f64 v) 2))
(.f64 (/.f64 (sin.f64 v) (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e)))) (+.f64 e e))
(.f64 (.f64 (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)) 1/2) (.f64 (sin.f64 v) 2))
(.f64 (/.f64 1 (/.f64 1 e)) (/.f64 (sin.f64 v) (+.f64 (.f64 (cos.f64 v) e) 1)))
(.f64 (/.f64 1 (/.f64 1 (sin.f64 v))) (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)))
(.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 -1 (.f64 (cos.f64 v) e)) e)) -1)
(.f64 (/.f64 e (/.f64 1 (sin.f64 v))) (/.f64 1 (+.f64 (.f64 (cos.f64 v) e) 1)))
(.f64 (/.f64 (sin.f64 v) (/.f64 1 e)) (/.f64 1 (+.f64 (.f64 (cos.f64 v) e) 1)))
(.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) e)) 2)
(.f64 (/.f64 e (.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (/.f64 2 (sin.f64 v)))) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (sin.f64 v)) 4)) (.f64 e 4))
(.f64 (/.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (*.f64 (cos.f64 v) e) 1))) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e) 4)) (.f64 (sin.f64 v) 4))
(.f64 (/.f64 1 (/.f64 (-.f64 -1 (.f64 (cos.f64 v) e)) (sin.f64 v))) (neg.f64 e))
(.f64 (/.f64 -1 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e)) (neg.f64 (sin.f64 v)))
(.f64 (+.f64 (/.f64 (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)) 2) (/.f64 (/.f64 e (+.f64 (*.f64 (cos.f64 v) e) 1)) 2)) (sin.f64 v))
(pow.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1))) 1)
(neg.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 -1 (*.f64 (cos.f64 v) e)) e)))
(+.f64 (*.f64 (cos.f64 v) e) 0)
(+.f64 0 (*.f64 (cos.f64 v) e))
(-.f64 (*.f64 (cos.f64 v) e) 0)
(/.f64 (*.f64 (cos.f64 v) e) 1)
(/.f64 (*.f64 (cos.f64 v) (+.f64 e e)) 2)
(/.f64 (.f64 (cos.f64 v) (.f64 e 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 v) (*.f64 e 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 v) (.f64 e 4))) (.f64 2 (.f64 (cos.f64 v) (.f64 e 4)))) 16)
(pow.f64 (*.f64 (cos.f64 v) e) 1)
(+.f64 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e) 0)
(+.f64 0 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e) 0)
(-.f64 0 (/.f64 (-.f64 -1 (*.f64 (cos.f64 v) e)) e))
(.f64 1 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e))
(.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (/.f64 1 e))
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e) 1)
(.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) (/.f64 1/2 e))
(.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) (*.f64 (/.f64 1 e) 1/2))
(.f64 (/.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) e) 1/2)
(.f64 2 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 e e)))
(.f64 2 (/.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e) 2))
(.f64 2 (.f64 (/.f64 1/2 e) (+.f64 (*.f64 (cos.f64 v) e) 1)))
(.f64 -1 (/.f64 (-.f64 -1 (.f64 (cos.f64 v) e)) e))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) 4) (/.f64 1 (.f64 e 4)))
(.f64 (.f64 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e) 4) 1/4)
(.f64 (/.f64 1 e) (+.f64 (.f64 (cos.f64 v) e) 1))
(.f64 (-.f64 -1 (.f64 (cos.f64 v) e)) (/.f64 -1 e))
(.f64 (/.f64 (-.f64 -1 (.f64 (cos.f64 v) e)) e) -1)
(.f64 (.f64 2 (/.f64 1 e)) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) 2))
(.f64 (/.f64 1/2 e) (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) e))
(.f64 (.f64 (/.f64 1 e) 1/2) (+.f64 2 (*.f64 (cos.f64 v) (+.f64 e e))))
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 e e)) 2)
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) 2) (*.f64 2 (/.f64 1 e)))
(.f64 1/4 (.f64 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e) 4))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e) 2) 2)
(.f64 (/.f64 1 (.f64 e 4)) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) 4))
(.f64 (/.f64 -1 e) (-.f64 -1 (.f64 (cos.f64 v) e)))
(.f64 (+.f64 (/.f64 1/2 e) (/.f64 1/2 e)) (+.f64 (.f64 (cos.f64 v) e) 1))
(pow.f64 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e) 1)
(neg.f64 (/.f64 (-.f64 -1 (*.f64 (cos.f64 v) e)) e))

Outputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 v (/.f64 e (+.f64 e 1)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(+.f64 (/.f64 (.f64 v e) (+.f64 e 1)) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))))
(+.f64 (.f64 v (/.f64 e (+.f64 e 1))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (/.f64 (.f64 v e) (+.f64 e 1)) (+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1))))))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))))))
(+.f64 (.f64 v (/.f64 e (+.f64 e 1))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 e (.f64 (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1)) -1/2)))))))
(+.f64 (/.f64 (.f64 v e) (+.f64 e 1)) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 -1/2 (.f64 e (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1)))))))))
(+.f64 (+.f64 (.f64 v (/.f64 e (+.f64 e 1))) (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) 1/24) (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)))) (*.f64 (/.f64 e (+.f64 e 1)) -1/2))))))
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(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 (/.f64 -1 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e)) (neg.f64 (sin.f64 v)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 (+.f64 (/.f64 (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1)) 2) (/.f64 (/.f64 e (+.f64 (*.f64 (cos.f64 v) e) 1)) 2)) (sin.f64 v))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(pow.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (.f64 (cos.f64 v) e) 1))) 1)
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(neg.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 -1 (*.f64 (cos.f64 v) e)) e)))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(+.f64 (*.f64 (cos.f64 v) e) 0)
(*.f64 e (cos.f64 v))
(+.f64 0 (*.f64 (cos.f64 v) e))
(*.f64 e (cos.f64 v))
(-.f64 (*.f64 (cos.f64 v) e) 0)
(*.f64 e (cos.f64 v))
(/.f64 (*.f64 (cos.f64 v) e) 1)
(*.f64 e (cos.f64 v))
(/.f64 (*.f64 (cos.f64 v) (+.f64 e e)) 2)
(*.f64 e (cos.f64 v))
(/.f64 (.f64 (cos.f64 v) (.f64 e 4)) 4)
(*.f64 e (cos.f64 v))
(/.f64 (.f64 2 (.f64 (cos.f64 v) (*.f64 e 4))) 8)
(*.f64 e (cos.f64 v))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 v) (.f64 e 4))) (.f64 2 (.f64 (cos.f64 v) (.f64 e 4)))) 16)
(*.f64 e (cos.f64 v))
(pow.f64 (*.f64 (cos.f64 v) e) 1)
(*.f64 e (cos.f64 v))
(+.f64 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e) 0)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(+.f64 0 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e) 0)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(-.f64 0 (/.f64 (-.f64 -1 (*.f64 (cos.f64 v) e)) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 1 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (/.f64 1 e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e) 1)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) (/.f64 1/2 e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) (*.f64 (/.f64 1 e) 1/2))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (/.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) e) 1/2)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 2 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 e e)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 2 (/.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e) 2))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 2 (.f64 (/.f64 1/2 e) (+.f64 (*.f64 (cos.f64 v) e) 1)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 -1 (/.f64 (-.f64 -1 (.f64 (cos.f64 v) e)) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) 4) (/.f64 1 (.f64 e 4)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (.f64 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e) 4) 1/4)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (/.f64 1 e) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (-.f64 -1 (.f64 (cos.f64 v) e)) (/.f64 -1 e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (/.f64 (-.f64 -1 (.f64 (cos.f64 v) e)) e) -1)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (.f64 2 (/.f64 1 e)) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) 2))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (/.f64 1/2 e) (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 1/2 (/.f64 (+.f64 2 (.f64 (cos.f64 v) (+.f64 e e))) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (.f64 (/.f64 1 e) 1/2) (+.f64 2 (*.f64 (cos.f64 v) (+.f64 e e))))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 e e)) 2)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) 2) (*.f64 2 (/.f64 1 e)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 1/4 (.f64 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e) 4))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) e) 2) 2)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (/.f64 1 (.f64 e 4)) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) 4))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (/.f64 -1 e) (-.f64 -1 (.f64 (cos.f64 v) e)))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(.f64 (+.f64 (/.f64 1/2 e) (/.f64 1/2 e)) (+.f64 (.f64 (cos.f64 v) e) 1))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(pow.f64 (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e) 1)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(neg.f64 (/.f64 (-.f64 -1 (*.f64 (cos.f64 v) e)) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1)))
✓	0.0b	(/.f64 1 (+.f64 e 1))
✓	0.2b	(/.f64 1 (/.f64 1 v))

Compiler

Compiled 45 to 34 computations (24.4% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	-inf	(/.f64 1 (/.f64 1 v))
0.0ms	e	@	inf	(/.f64 1 (+.f64 e 1))
0.0ms	v	@	inf	(/.f64 1 (/.f64 1 v))
0.0ms	e	@	0	(/.f64 1 (+.f64 e 1))
0.0ms	e	@	-inf	(/.f64 1 (+.f64 e 1))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`exponential.json-3`
1018×	`rational.json-1`
1018×	`rational.json-2`
1018×	`rational.json-4`
1018×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	83	27
2	208	27
3	545	27
4	2665	27

Stop Event

1×	node limit

Counts

3 → 179

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 v))
(/.f64 1 (+.f64 e 1))
(*.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1)))

Outputs

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

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

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

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1500×	`rational.json-simplify-2`
1472×	`rational.json-simplify-35`
1094×	`rational.json-simplify-50`
888×	`rational.json-simplify-44`
798×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	3769
1	1474	3511
2	5840	3463

Stop Event

1×	node limit

Counts

227 → 242

Calls

Call 1

Inputs
v
v
v
v
v
v
v
v
v
v
v
v
1
(+.f64 1 (*.f64 -1 e))
(+.f64 (pow.f64 e 2) (+.f64 1 (*.f64 -1 e)))
(+.f64 (pow.f64 e 2) (+.f64 1 (+.f64 (.f64 -1 e) (.f64 -1 (pow.f64 e 3)))))
(/.f64 1 e)
(-.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 2)))
(-.f64 (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))) (/.f64 1 (pow.f64 e 2)))
(-.f64 (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))) (+.f64 (/.f64 1 (pow.f64 e 2)) (/.f64 1 (pow.f64 e 4))))
(/.f64 1 e)
(-.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 2)))
(-.f64 (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))) (/.f64 1 (pow.f64 e 2)))
(-.f64 (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))) (+.f64 (/.f64 1 (pow.f64 e 2)) (/.f64 1 (pow.f64 e 4))))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
v
(+.f64 v (.f64 -1 (.f64 v e)))
(+.f64 v (+.f64 (.f64 -1 (.f64 v e)) (*.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (.f64 v e)) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2)))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 v 0)
(+.f64 v (/.f64 0 (/.f64 1 (*.f64 v v))))
(+.f64 v (/.f64 0 (*.f64 v v)))
(+.f64 0 v)
(+.f64 -1 (-.f64 1 (neg.f64 v)))
(-.f64 v 0)
(-.f64 0 (neg.f64 v))
(*.f64 1 v)
(*.f64 v 1)
(.f64 v (.f64 v (/.f64 1 v)))
(*.f64 v (/.f64 v v))
(.f64 (/.f64 1 v) (.f64 v v))
(*.f64 2 (/.f64 v 2))
(.f64 2 (/.f64 (/.f64 1 v) (.f64 (/.f64 1 v) (/.f64 2 v))))
(*.f64 (+.f64 v v) 1/2)
(.f64 (/.f64 2 v) (/.f64 1 (.f64 (/.f64 1 v) (/.f64 2 v))))
(*.f64 -1 (neg.f64 v))
(.f64 (/.f64 1 (.f64 v v)) (/.f64 v (/.f64 1 (*.f64 v v))))
(.f64 (.f64 v v) (/.f64 1 v))
(.f64 (.f64 v 4) 1/4)
(*.f64 (neg.f64 v) -1)
(.f64 (.f64 v (/.f64 1 v)) v)
(*.f64 1/2 (+.f64 v v))
(.f64 (/.f64 2 (.f64 v v)) (/.f64 v (*.f64 (/.f64 1 v) (/.f64 2 v))))
(*.f64 (/.f64 (+.f64 v v) (/.f64 1 v)) (/.f64 (/.f64 1 v) 2))
(.f64 (/.f64 v (/.f64 1 (.f64 v v))) (/.f64 1 (*.f64 v v)))
(*.f64 (/.f64 v v) v)
(*.f64 (/.f64 v 2) 2)
(*.f64 (/.f64 (/.f64 1 v) 2) (/.f64 (+.f64 v v) (/.f64 1 v)))
(.f64 (/.f64 1 (.f64 (/.f64 1 v) (/.f64 2 v))) (/.f64 2 v))
(.f64 (/.f64 v (.f64 (/.f64 1 v) (/.f64 2 v))) (/.f64 2 (*.f64 v v)))
(.f64 (/.f64 (/.f64 1 v) (.f64 (/.f64 1 v) (/.f64 2 v))) 2)
(.f64 1/4 (.f64 v 4))
(pow.f64 v 1)
(neg.f64 (neg.f64 v))
(+.f64 (/.f64 1 (+.f64 1 e)) 0)
(+.f64 0 (/.f64 1 (+.f64 1 e)))
(-.f64 (/.f64 1 (+.f64 1 e)) 0)
(*.f64 1 (/.f64 1 (+.f64 1 e)))
(*.f64 (/.f64 1 (+.f64 1 e)) 1)
(*.f64 2 (/.f64 (/.f64 1 (+.f64 1 e)) 2))
(.f64 (.f64 (/.f64 1 (+.f64 1 e)) 2) 1/2)
(.f64 1/2 (.f64 (/.f64 1 (+.f64 1 e)) 2))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 e)) 2) 2)
(pow.f64 (/.f64 1 (+.f64 1 e)) 1)
(+.f64 (/.f64 v (+.f64 1 e)) 0)
(+.f64 0 (/.f64 v (+.f64 1 e)))
(-.f64 (/.f64 v (+.f64 1 e)) 0)
(/.f64 1 (/.f64 (+.f64 1 e) v))
(/.f64 1 (-.f64 0 (*.f64 (+.f64 1 e) (neg.f64 (/.f64 1 v)))))
(/.f64 1 (-.f64 0 (*.f64 (/.f64 1 v) (-.f64 -1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 v (/.f64 (/.f64 (+.f64 v v) v) (*.f64 (/.f64 1 (+.f64 1 e)) 2)))
(/.f64 v (/.f64 (/.f64 (+.f64 v v) v) (/.f64 2 (+.f64 1 e))))
(/.f64 (/.f64 1 v) (/.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (+.f64 1 e))))
(/.f64 (/.f64 1 v) (.f64 (+.f64 1 e) (/.f64 1 (.f64 v v))))
(/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 1 v))
(/.f64 (/.f64 v (+.f64 1 e)) 1)
(/.f64 (/.f64 v (+.f64 1 e)) (*.f64 v (/.f64 1 v)))
(/.f64 2 (*.f64 (+.f64 1 e) (/.f64 2 v)))
(/.f64 (+.f64 v v) (+.f64 2 (+.f64 e e)))
(/.f64 (+.f64 v v) (+.f64 (+.f64 2 (+.f64 e e)) (/.f64 0 (*.f64 v v))))
(/.f64 (+.f64 v v) (-.f64 0 (*.f64 2 (-.f64 -1 e))))
(/.f64 (+.f64 v v) (-.f64 0 (neg.f64 (+.f64 2 (+.f64 e e)))))
(/.f64 (+.f64 2 (+.f64 e e)) (.f64 (/.f64 2 v) (.f64 (+.f64 1 e) (+.f64 1 e))))
(/.f64 (/.f64 2 v) (.f64 (+.f64 1 e) (.f64 (/.f64 1 v) (/.f64 2 v))))
(/.f64 -1 (*.f64 (+.f64 1 e) (neg.f64 (/.f64 1 v))))
(/.f64 -1 (*.f64 (/.f64 1 v) (-.f64 -1 e)))
(/.f64 -1 (/.f64 (/.f64 1 v) (neg.f64 (/.f64 1 (+.f64 1 e)))))
(/.f64 -1 (-.f64 0 (/.f64 (+.f64 1 e) v)))
(/.f64 (/.f64 1 (.f64 v v)) (/.f64 (/.f64 (/.f64 2 v) (.f64 v v)) (*.f64 (/.f64 1 (+.f64 1 e)) 2)))
(/.f64 (/.f64 1 (.f64 v v)) (/.f64 (/.f64 (/.f64 2 v) (.f64 v v)) (/.f64 2 (+.f64 1 e))))
(/.f64 (*.f64 v v) (/.f64 v (/.f64 1 (+.f64 1 e))))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(/.f64 (*.f64 v v) (/.f64 (+.f64 v v) (/.f64 2 (+.f64 1 e))))
(/.f64 4 (*.f64 4 (/.f64 (+.f64 1 e) v)))
(/.f64 4 (/.f64 (*.f64 (/.f64 1 v) 4) (/.f64 1 (+.f64 1 e))))
(/.f64 4 (/.f64 (*.f64 (+.f64 1 e) 4) v))
(/.f64 (.f64 v 4) (.f64 (+.f64 1 e) 4))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 2) (/.f64 2 v))
(/.f64 (.f64 (/.f64 1 v) 4) (.f64 4 (.f64 (+.f64 1 e) (/.f64 1 (.f64 v v)))))
(/.f64 (neg.f64 v) (-.f64 -1 e))
(/.f64 -2 (*.f64 (/.f64 2 v) (-.f64 -1 e)))
(/.f64 -2 (*.f64 (+.f64 2 (+.f64 e e)) (neg.f64 (/.f64 1 v))))
(/.f64 -2 (*.f64 (+.f64 1 e) (neg.f64 (/.f64 2 v))))
(/.f64 -2 (*.f64 (/.f64 1 v) (neg.f64 (+.f64 2 (+.f64 e e)))))
(/.f64 -2 (-.f64 0 (*.f64 (+.f64 1 e) (/.f64 2 v))))
(/.f64 8 (.f64 (+.f64 1 e) (.f64 (/.f64 2 v) 4)))
(/.f64 (.f64 (/.f64 1 (+.f64 1 e)) 4) (.f64 (/.f64 1 v) 4))
(/.f64 (*.f64 v (+.f64 v v)) (/.f64 (+.f64 v v) (/.f64 1 (+.f64 1 e))))
(/.f64 (.f64 v (+.f64 v v)) (/.f64 (.f64 v 4) (/.f64 2 (+.f64 1 e))))
(/.f64 (-.f64 (neg.f64 v) v) (*.f64 2 (-.f64 -1 e)))
(/.f64 (-.f64 (neg.f64 v) v) (/.f64 -2 (/.f64 1 (+.f64 1 e))))
(/.f64 (.f64 2 (.f64 v 4)) (.f64 2 (.f64 (+.f64 1 e) 4)))
(/.f64 (.f64 2 (.f64 v 4)) (/.f64 8 (/.f64 1 (+.f64 1 e))))
(/.f64 (*.f64 (/.f64 v (+.f64 1 e)) 4) 4)
(/.f64 (.f64 v (.f64 v (+.f64 v v))) (.f64 (+.f64 2 (+.f64 e e)) (.f64 v v)))
(/.f64 (/.f64 2 (+.f64 1 e)) (/.f64 2 v))
(/.f64 (/.f64 2 (/.f64 (+.f64 1 e) v)) 2)
(/.f64 (/.f64 1 (-.f64 -1 e)) (neg.f64 (/.f64 1 v)))
(/.f64 (/.f64 4 (+.f64 1 e)) (*.f64 (/.f64 1 v) 4))
(/.f64 (/.f64 (+.f64 v v) v) (*.f64 (+.f64 1 e) (/.f64 2 v)))
(/.f64 (*.f64 v (/.f64 1 v)) (/.f64 (+.f64 1 e) v))
(/.f64 (neg.f64 (+.f64 v v)) (neg.f64 (+.f64 2 (+.f64 e e))))
(/.f64 (neg.f64 (+.f64 v v)) (/.f64 -2 (/.f64 1 (+.f64 1 e))))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 e))) (neg.f64 (/.f64 1 v)))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (+.f64 1 e) v))))
(/.f64 (.f64 2 (.f64 (/.f64 v (+.f64 1 e)) 4)) 8)
(/.f64 (.f64 2 (/.f64 2 (+.f64 1 e))) (.f64 (/.f64 1 v) 4))
(/.f64 (.f64 2 (/.f64 1 (-.f64 -1 e))) (.f64 2 (neg.f64 (/.f64 1 v))))
(/.f64 (.f64 2 (/.f64 4 (+.f64 1 e))) (.f64 (/.f64 2 v) 4))
(/.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 1 e)))) (.f64 2 (neg.f64 (/.f64 1 v))))
(/.f64 (/.f64 -2 (/.f64 1 v)) (*.f64 2 (-.f64 -1 e)))
(/.f64 (/.f64 -2 (/.f64 1 v)) (neg.f64 (+.f64 2 (+.f64 e e))))
(/.f64 (/.f64 8 (/.f64 1 v)) (.f64 2 (.f64 (+.f64 1 e) 4)))
(/.f64 (/.f64 (/.f64 2 v) (+.f64 1 e)) (*.f64 (/.f64 1 v) (/.f64 2 v)))
(/.f64 (/.f64 (*.f64 v 4) (+.f64 1 e)) 4)
(/.f64 (/.f64 (*.f64 v v) (+.f64 1 e)) v)
(/.f64 (/.f64 v (-.f64 -1 e)) -1)
(/.f64 (/.f64 2 (-.f64 -1 e)) (*.f64 2 (neg.f64 (/.f64 1 v))))
(/.f64 (/.f64 2 (-.f64 -1 e)) (neg.f64 (/.f64 2 v)))
(/.f64 (/.f64 8 (+.f64 1 e)) (*.f64 (/.f64 2 v) 4))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 4) (/.f64 1 v)) 4)
(/.f64 (/.f64 (/.f64 1 v) (+.f64 1 e)) (/.f64 1 (*.f64 v v)))
(/.f64 (/.f64 (.f64 v (.f64 v (+.f64 v v))) (+.f64 2 (+.f64 e e))) (*.f64 v v))
(/.f64 (/.f64 (/.f64 (+.f64 v v) v) (+.f64 2 (+.f64 e e))) (/.f64 1 v))
(/.f64 (/.f64 (+.f64 1 e) (/.f64 1 v)) (*.f64 (+.f64 1 e) (+.f64 1 e)))
(/.f64 (/.f64 v (+.f64 2 (+.f64 e e))) 1/2)
(/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 2 v)) 1/2)
(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 1 e)) 2) v) (/.f64 2 (.f64 v v)))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) v) (/.f64 1 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 e)) v) (/.f64 2 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 e)) (/.f64 1 v)) 2)
(/.f64 (/.f64 (/.f64 2 (+.f64 1 e)) (+.f64 v v)) (/.f64 1 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 4 (+.f64 1 e)) 2) (/.f64 2 v))
(/.f64 (neg.f64 (/.f64 (+.f64 v v) v)) (-.f64 0 (*.f64 (+.f64 1 e) (/.f64 2 v))))
(/.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 2)) (neg.f64 (/.f64 2 v)))
(/.f64 (neg.f64 (/.f64 2 (+.f64 1 e))) (neg.f64 (/.f64 2 v)))
(/.f64 (neg.f64 (/.f64 1 (-.f64 -1 e))) (/.f64 1 v))
(/.f64 (neg.f64 (/.f64 4 (+.f64 1 e))) (neg.f64 (*.f64 (/.f64 1 v) 4)))
(/.f64 (neg.f64 (.f64 v 4)) (neg.f64 (.f64 (+.f64 1 e) 4)))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 e)))) (/.f64 1 v))
(/.f64 (neg.f64 (.f64 (/.f64 1 (+.f64 1 e)) 4)) (neg.f64 (.f64 (/.f64 1 v) 4)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 v))) (+.f64 2 (+.f64 e e)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 v))) (-.f64 0 (*.f64 2 (-.f64 -1 e))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 v))) (-.f64 0 (neg.f64 (+.f64 2 (+.f64 e e)))))
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 v))) (-.f64 0 (.f64 2 (.f64 (+.f64 1 e) 4))))
(/.f64 (neg.f64 (*.f64 v (/.f64 1 v))) (-.f64 0 (/.f64 (+.f64 1 e) v)))
(/.f64 (neg.f64 (.f64 2 (.f64 v 4))) (-.f64 0 (.f64 2 (.f64 (+.f64 1 e) 4))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 v) (+.f64 1 e))) (-.f64 0 (*.f64 (/.f64 1 v) (/.f64 2 v))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 2))) (/.f64 2 v))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 2))) (-.f64 0 (neg.f64 (/.f64 2 v))))
(/.f64 (neg.f64 (/.f64 v (+.f64 1 e))) (-.f64 0 (*.f64 v (/.f64 1 v))))
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (+.f64 1 e)))) (neg.f64 (.f64 (/.f64 1 v) 4)))
(/.f64 (neg.f64 (.f64 2 (/.f64 1 (-.f64 -1 e)))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 v)))))
(/.f64 (neg.f64 (.f64 2 (/.f64 4 (+.f64 1 e)))) (-.f64 0 (.f64 (/.f64 2 v) 4)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 1 e))))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 v)))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 v) (+.f64 1 e))) (neg.f64 (/.f64 1 (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 (*.f64 v v) (+.f64 1 e))) (neg.f64 v))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 e))) (/.f64 2 v))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 e))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 v)))))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 e))) (-.f64 0 (neg.f64 (/.f64 2 v))))
(/.f64 (neg.f64 (/.f64 8 (+.f64 1 e))) (-.f64 0 (*.f64 (/.f64 2 v) 4)))
(/.f64 (neg.f64 (/.f64 (.f64 v (.f64 v (+.f64 v v))) (+.f64 2 (+.f64 e e)))) (neg.f64 (*.f64 v v)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 v v) v) (+.f64 2 (+.f64 e e)))) (neg.f64 (/.f64 1 v)))
(/.f64 (neg.f64 (/.f64 (+.f64 1 e) (/.f64 1 v))) (-.f64 0 (*.f64 (+.f64 1 e) (+.f64 1 e))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 1 (+.f64 1 e)) 2) v)) (-.f64 0 (/.f64 2 (.f64 v v))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 1 e)) v)) (neg.f64 (/.f64 1 (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 1 e)) v)) (-.f64 0 (/.f64 2 (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 1 e)) (+.f64 v v))) (neg.f64 (/.f64 1 (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (+.f64 1 e)) 2)) (neg.f64 (/.f64 2 v)))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (+.f64 1 e)))) (/.f64 2 v))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (+.f64 1 e)))) (-.f64 0 (neg.f64 (/.f64 2 v))))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 -1 e)))) (neg.f64 (/.f64 1 v)))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (+.f64 1 e)))) (*.f64 (/.f64 1 v) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 v 4))) (.f64 (+.f64 1 e) 4))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 e))))) (neg.f64 (/.f64 1 v)))
(pow.f64 (/.f64 v (+.f64 1 e)) 1)
(neg.f64 (/.f64 v (-.f64 -1 e)))

Outputs
v
v
v
v
v
v
v
v
v
v
v
v
1
(+.f64 1 (*.f64 -1 e))
(+.f64 1 (neg.f64 e))
(+.f64 (pow.f64 e 2) (+.f64 1 (*.f64 -1 e)))
(+.f64 1 (+.f64 (*.f64 -1 e) (pow.f64 e 2)))
(+.f64 (neg.f64 e) (+.f64 (pow.f64 e 2) 1))
(+.f64 (neg.f64 e) (+.f64 1 (pow.f64 e 2)))
(+.f64 (pow.f64 e 2) (+.f64 1 (+.f64 (.f64 -1 e) (.f64 -1 (pow.f64 e 3)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1 e) (.f64 -1 (pow.f64 e 3))) (pow.f64 e 2)))
(+.f64 1 (+.f64 (pow.f64 e 2) (*.f64 -1 (+.f64 e (pow.f64 e 3)))))
(/.f64 1 e)
(-.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 2)))
(-.f64 (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))) (/.f64 1 (pow.f64 e 2)))
(+.f64 (/.f64 1 e) (-.f64 (/.f64 1 (pow.f64 e 3)) (/.f64 1 (pow.f64 e 2))))
(-.f64 (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))) (+.f64 (/.f64 1 (pow.f64 e 2)) (/.f64 1 (pow.f64 e 4))))
(+.f64 (/.f64 1 (pow.f64 e 3)) (-.f64 (/.f64 1 e) (+.f64 (/.f64 1 (pow.f64 e 2)) (/.f64 1 (pow.f64 e 4)))))
(/.f64 1 e)
(-.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 2)))
(-.f64 (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))) (/.f64 1 (pow.f64 e 2)))
(+.f64 (/.f64 1 e) (-.f64 (/.f64 1 (pow.f64 e 3)) (/.f64 1 (pow.f64 e 2))))
(-.f64 (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))) (+.f64 (/.f64 1 (pow.f64 e 2)) (/.f64 1 (pow.f64 e 4))))
(+.f64 (/.f64 1 (pow.f64 e 3)) (-.f64 (/.f64 1 e) (+.f64 (/.f64 1 (pow.f64 e 2)) (/.f64 1 (pow.f64 e 4)))))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
v
(+.f64 v (.f64 -1 (.f64 v e)))
(+.f64 v (.f64 v (.f64 -1 e)))
(+.f64 v (*.f64 v (neg.f64 e)))
(+.f64 v (+.f64 (.f64 -1 (.f64 v e)) (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v (.f64 -1 e)) (+.f64 (*.f64 v (pow.f64 e 2)) v))
(+.f64 v (*.f64 v (+.f64 (neg.f64 e) (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (.f64 v e)) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2)))))
(+.f64 v (+.f64 (.f64 v (.f64 -1 (pow.f64 e 3))) (+.f64 (.f64 v (.f64 -1 e)) (*.f64 v (pow.f64 e 2)))))
(+.f64 v (+.f64 (.f64 v (+.f64 (neg.f64 e) (pow.f64 e 2))) (.f64 (pow.f64 e 3) (neg.f64 v))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (/.f64 v e) (*.f64 -1 (/.f64 v (pow.f64 e 2))))
(+.f64 (/.f64 v e) (neg.f64 (/.f64 v (pow.f64 e 2))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (/.f64 v e) (+.f64 (/.f64 v (pow.f64 e 3)) (*.f64 -1 (/.f64 v (pow.f64 e 2)))))
(+.f64 (/.f64 v e) (+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (/.f64 v (pow.f64 e 3))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))))
(+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v (pow.f64 e 3)) (+.f64 (/.f64 v e) (neg.f64 (/.f64 v (pow.f64 e 4))))))
(+.f64 (/.f64 v e) (+.f64 (+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (/.f64 v (pow.f64 e 3))) (neg.f64 (/.f64 v (pow.f64 e 4)))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (/.f64 v e) (*.f64 -1 (/.f64 v (pow.f64 e 2))))
(+.f64 (/.f64 v e) (neg.f64 (/.f64 v (pow.f64 e 2))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (/.f64 v e) (+.f64 (/.f64 v (pow.f64 e 3)) (*.f64 -1 (/.f64 v (pow.f64 e 2)))))
(+.f64 (/.f64 v e) (+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (/.f64 v (pow.f64 e 3))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 4))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))))
(+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v (pow.f64 e 3)) (+.f64 (/.f64 v e) (neg.f64 (/.f64 v (pow.f64 e 4))))))
(+.f64 (/.f64 v e) (+.f64 (+.f64 (neg.f64 (/.f64 v (pow.f64 e 2))) (/.f64 v (pow.f64 e 3))) (neg.f64 (/.f64 v (pow.f64 e 4)))))
(+.f64 v 0)
v
(+.f64 v (/.f64 0 (/.f64 1 (*.f64 v v))))
(+.f64 v (/.f64 (*.f64 v v) (/.f64 1 0)))
(+.f64 v (/.f64 v (/.f64 (/.f64 1 v) 0)))
(+.f64 v (/.f64 0 (*.f64 v v)))
(+.f64 0 v)
v
(+.f64 -1 (-.f64 1 (neg.f64 v)))
v
(-.f64 v 0)
v
(-.f64 0 (neg.f64 v))
v
(*.f64 1 v)
v
(*.f64 v 1)
v
(.f64 v (.f64 v (/.f64 1 v)))
(*.f64 v (/.f64 v v))
(*.f64 v (/.f64 v v))
(.f64 v (.f64 v (/.f64 1 v)))
(.f64 (/.f64 1 v) (.f64 v v))
(.f64 v (.f64 v (/.f64 1 v)))
(*.f64 v (/.f64 v v))
(*.f64 2 (/.f64 v 2))
(.f64 2 (.f64 v 1/2))
(.f64 2 (/.f64 (/.f64 1 v) (.f64 (/.f64 1 v) (/.f64 2 v))))
(.f64 2 (/.f64 1 (.f64 v (*.f64 (/.f64 1 v) (/.f64 2 v)))))
(.f64 2 (/.f64 v (.f64 (/.f64 2 v) v)))
(.f64 2 (/.f64 v (.f64 v (/.f64 2 v))))
(*.f64 (+.f64 v v) 1/2)
(.f64 (/.f64 2 v) (/.f64 1 (.f64 (/.f64 1 v) (/.f64 2 v))))
(*.f64 (/.f64 2 v) (/.f64 (/.f64 1 (/.f64 1 v)) (/.f64 2 v)))
(*.f64 (/.f64 2 v) (/.f64 v (/.f64 2 v)))
(*.f64 -1 (neg.f64 v))
v
(.f64 (/.f64 1 (.f64 v v)) (/.f64 v (/.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (.f64 v v)) (/.f64 (*.f64 v v) (/.f64 1 v)))
(/.f64 (.f64 v (.f64 v v)) (*.f64 v v))
(.f64 (.f64 v v) (/.f64 1 v))
(.f64 v (.f64 v (/.f64 1 v)))
(*.f64 v (/.f64 v v))
(.f64 (.f64 v 4) 1/4)
v
(*.f64 (neg.f64 v) -1)
v
(.f64 (.f64 v (/.f64 1 v)) v)
(.f64 v (.f64 v (/.f64 1 v)))
(*.f64 v (/.f64 v v))
(*.f64 1/2 (+.f64 v v))
(*.f64 (+.f64 v v) 1/2)
(.f64 (/.f64 2 (.f64 v v)) (/.f64 v (*.f64 (/.f64 1 v) (/.f64 2 v))))
(.f64 (/.f64 2 (.f64 v v)) (/.f64 (*.f64 v v) (/.f64 2 v)))
(*.f64 (/.f64 (+.f64 v v) (/.f64 1 v)) (/.f64 (/.f64 1 v) 2))
(.f64 v (.f64 v (/.f64 1 v)))
(*.f64 v (/.f64 v v))
(.f64 (/.f64 v (/.f64 1 (.f64 v v))) (/.f64 1 (*.f64 v v)))
(.f64 (/.f64 1 (.f64 v v)) (/.f64 (*.f64 v v) (/.f64 1 v)))
(/.f64 (.f64 v (.f64 v v)) (*.f64 v v))
(*.f64 (/.f64 v v) v)
(.f64 v (.f64 v (/.f64 1 v)))
(*.f64 v (/.f64 v v))
(*.f64 (/.f64 v 2) 2)
(*.f64 2 (/.f64 v 2))
(.f64 2 (.f64 v 1/2))
(*.f64 (/.f64 (/.f64 1 v) 2) (/.f64 (+.f64 v v) (/.f64 1 v)))
(.f64 v (.f64 v (/.f64 1 v)))
(*.f64 v (/.f64 v v))
(.f64 (/.f64 1 (.f64 (/.f64 1 v) (/.f64 2 v))) (/.f64 2 v))
(*.f64 (/.f64 2 v) (/.f64 (/.f64 1 (/.f64 1 v)) (/.f64 2 v)))
(*.f64 (/.f64 2 v) (/.f64 v (/.f64 2 v)))
(.f64 (/.f64 v (.f64 (/.f64 1 v) (/.f64 2 v))) (/.f64 2 (*.f64 v v)))
(.f64 (/.f64 2 (.f64 v v)) (/.f64 v (*.f64 (/.f64 1 v) (/.f64 2 v))))
(.f64 (/.f64 2 (.f64 v v)) (/.f64 (*.f64 v v) (/.f64 2 v)))
(.f64 (/.f64 (/.f64 1 v) (.f64 (/.f64 1 v) (/.f64 2 v))) 2)
(.f64 2 (/.f64 1 (.f64 v (*.f64 (/.f64 1 v) (/.f64 2 v)))))
(.f64 2 (/.f64 v (.f64 (/.f64 2 v) v)))
(.f64 2 (/.f64 v (.f64 v (/.f64 2 v))))
(.f64 1/4 (.f64 v 4))
v
(pow.f64 v 1)
v
(neg.f64 (neg.f64 v))
v
(+.f64 (/.f64 1 (+.f64 1 e)) 0)
(/.f64 1 (+.f64 1 e))
(+.f64 0 (/.f64 1 (+.f64 1 e)))
(/.f64 1 (+.f64 1 e))
(-.f64 (/.f64 1 (+.f64 1 e)) 0)
(/.f64 1 (+.f64 1 e))
(*.f64 1 (/.f64 1 (+.f64 1 e)))
(/.f64 1 (+.f64 1 e))
(*.f64 (/.f64 1 (+.f64 1 e)) 1)
(/.f64 1 (+.f64 1 e))
(*.f64 2 (/.f64 (/.f64 1 (+.f64 1 e)) 2))
(/.f64 1 (+.f64 1 e))
(.f64 (.f64 (/.f64 1 (+.f64 1 e)) 2) 1/2)
(/.f64 1 (+.f64 1 e))
(.f64 1/2 (.f64 (/.f64 1 (+.f64 1 e)) 2))
(/.f64 1 (+.f64 1 e))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 e)) 2) 2)
(/.f64 1 (+.f64 1 e))
(pow.f64 (/.f64 1 (+.f64 1 e)) 1)
(/.f64 1 (+.f64 1 e))
(+.f64 (/.f64 v (+.f64 1 e)) 0)
(/.f64 v (+.f64 1 e))
(+.f64 0 (/.f64 v (+.f64 1 e)))
(/.f64 v (+.f64 1 e))
(-.f64 (/.f64 v (+.f64 1 e)) 0)
(/.f64 v (+.f64 1 e))
(/.f64 1 (/.f64 (+.f64 1 e) v))
(/.f64 v (+.f64 1 e))
(/.f64 1 (-.f64 0 (*.f64 (+.f64 1 e) (neg.f64 (/.f64 1 v)))))
(/.f64 v (+.f64 1 e))
(/.f64 1 (-.f64 0 (*.f64 (/.f64 1 v) (-.f64 -1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (/.f64 (/.f64 (+.f64 v v) v) (*.f64 (/.f64 1 (+.f64 1 e)) 2)))
(/.f64 v (+.f64 1 e))
(/.f64 v (/.f64 (/.f64 (+.f64 v v) v) (/.f64 2 (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 1 v) (/.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 1 v) (.f64 (+.f64 1 e) (/.f64 1 (.f64 v v))))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 1 v))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 v (+.f64 1 e)) 1)
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 v (+.f64 1 e)) (*.f64 v (/.f64 1 v)))
(/.f64 v (+.f64 1 e))
(/.f64 2 (*.f64 (+.f64 1 e) (/.f64 2 v)))
(/.f64 v (+.f64 1 e))
(/.f64 (+.f64 v v) (+.f64 2 (+.f64 e e)))
(/.f64 v (+.f64 1 e))
(/.f64 (+.f64 v v) (+.f64 (+.f64 2 (+.f64 e e)) (/.f64 0 (*.f64 v v))))
(/.f64 (+.f64 v v) (+.f64 (/.f64 0 (*.f64 v v)) (+.f64 e (+.f64 e 2))))
(/.f64 (+.f64 v v) (+.f64 e (+.f64 (+.f64 e 2) (/.f64 0 (*.f64 v v)))))
(/.f64 (+.f64 v v) (+.f64 e (+.f64 (/.f64 0 (*.f64 v v)) (+.f64 e 2))))
(/.f64 (+.f64 v v) (-.f64 0 (*.f64 2 (-.f64 -1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (+.f64 v v) (-.f64 0 (neg.f64 (+.f64 2 (+.f64 e e)))))
(/.f64 v (+.f64 1 e))
(/.f64 (+.f64 2 (+.f64 e e)) (.f64 (/.f64 2 v) (.f64 (+.f64 1 e) (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 2 v) (.f64 (+.f64 1 e) (.f64 (/.f64 1 v) (/.f64 2 v))))
(/.f64 v (+.f64 1 e))
(/.f64 -1 (*.f64 (+.f64 1 e) (neg.f64 (/.f64 1 v))))
(/.f64 v (+.f64 1 e))
(/.f64 -1 (*.f64 (/.f64 1 v) (-.f64 -1 e)))
(/.f64 v (+.f64 1 e))
(/.f64 -1 (/.f64 (/.f64 1 v) (neg.f64 (/.f64 1 (+.f64 1 e)))))
(/.f64 v (+.f64 1 e))
(/.f64 -1 (-.f64 0 (/.f64 (+.f64 1 e) v)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 1 (.f64 v v)) (/.f64 (/.f64 (/.f64 2 v) (.f64 v v)) (*.f64 (/.f64 1 (+.f64 1 e)) 2)))
(/.f64 1 (.f64 (.f64 v v) (/.f64 (/.f64 2 v) (.f64 (.f64 v v) (*.f64 2 (/.f64 1 (+.f64 1 e)))))))
(/.f64 (/.f64 (.f64 v v) (/.f64 (+.f64 1 e) v)) (.f64 v v))
(/.f64 (/.f64 1 (.f64 v v)) (/.f64 (/.f64 (/.f64 2 v) (.f64 v v)) (/.f64 2 (+.f64 1 e))))
(/.f64 1 (.f64 (.f64 v v) (/.f64 (/.f64 2 v) (.f64 (.f64 v v) (*.f64 2 (/.f64 1 (+.f64 1 e)))))))
(/.f64 (/.f64 (.f64 v v) (/.f64 (+.f64 1 e) v)) (.f64 v v))
(/.f64 (*.f64 v v) (/.f64 v (/.f64 1 (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 v v) (.f64 v (+.f64 1 e)))
(/.f64 v (+.f64 1 e))
(/.f64 (*.f64 v v) (/.f64 (+.f64 v v) (/.f64 2 (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 4 (*.f64 4 (/.f64 (+.f64 1 e) v)))
(/.f64 v (+.f64 1 e))
(/.f64 4 (/.f64 (*.f64 (/.f64 1 v) 4) (/.f64 1 (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 4 (/.f64 (*.f64 (+.f64 1 e) 4) v))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 v 4) (.f64 (+.f64 1 e) 4))
(/.f64 v (+.f64 1 e))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 2) (/.f64 2 v))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 (/.f64 1 v) 4) (.f64 4 (.f64 (+.f64 1 e) (/.f64 1 (.f64 v v)))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 v) (-.f64 -1 e))
(/.f64 v (+.f64 1 e))
(/.f64 -2 (*.f64 (/.f64 2 v) (-.f64 -1 e)))
(/.f64 v (+.f64 1 e))
(/.f64 -2 (*.f64 (+.f64 2 (+.f64 e e)) (neg.f64 (/.f64 1 v))))
(/.f64 v (+.f64 1 e))
(/.f64 -2 (*.f64 (+.f64 1 e) (neg.f64 (/.f64 2 v))))
(/.f64 v (+.f64 1 e))
(/.f64 -2 (*.f64 (/.f64 1 v) (neg.f64 (+.f64 2 (+.f64 e e)))))
(/.f64 v (+.f64 1 e))
(/.f64 -2 (-.f64 0 (*.f64 (+.f64 1 e) (/.f64 2 v))))
(/.f64 v (+.f64 1 e))
(/.f64 8 (.f64 (+.f64 1 e) (.f64 (/.f64 2 v) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 (/.f64 1 (+.f64 1 e)) 4) (.f64 (/.f64 1 v) 4))
(/.f64 v (+.f64 1 e))
(/.f64 (*.f64 v (+.f64 v v)) (/.f64 (+.f64 v v) (/.f64 1 (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 v (+.f64 v v)) (/.f64 (.f64 v 4) (/.f64 2 (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (-.f64 (neg.f64 v) v) (*.f64 2 (-.f64 -1 e)))
(/.f64 v (+.f64 1 e))
(/.f64 (-.f64 (neg.f64 v) v) (/.f64 -2 (/.f64 1 (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 2 (.f64 v 4)) (.f64 2 (.f64 (+.f64 1 e) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 2 (.f64 v 4)) (/.f64 8 (/.f64 1 (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (*.f64 (/.f64 v (+.f64 1 e)) 4) 4)
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 v (.f64 v (+.f64 v v))) (.f64 (+.f64 2 (+.f64 e e)) (.f64 v v)))
(.f64 (.f64 v (+.f64 v v)) (/.f64 v (.f64 (.f64 v v) (+.f64 e (+.f64 e 2)))))
(.f64 (.f64 v (+.f64 v v)) (/.f64 (/.f64 v (*.f64 v v)) (+.f64 e (+.f64 e 2))))
(/.f64 (.f64 v (.f64 v (/.f64 v (+.f64 1 e)))) (*.f64 v v))
(/.f64 (/.f64 2 (+.f64 1 e)) (/.f64 2 v))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 2 (/.f64 (+.f64 1 e) v)) 2)
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 1 (-.f64 -1 e)) (neg.f64 (/.f64 1 v)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 4 (+.f64 1 e)) (*.f64 (/.f64 1 v) 4))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (+.f64 v v) v) (*.f64 (+.f64 1 e) (/.f64 2 v)))
(/.f64 v (+.f64 1 e))
(/.f64 (*.f64 v (/.f64 1 v)) (/.f64 (+.f64 1 e) v))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (+.f64 v v)) (neg.f64 (+.f64 2 (+.f64 e e))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (+.f64 v v)) (/.f64 -2 (/.f64 1 (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 e))) (neg.f64 (/.f64 1 v)))
(/.f64 v (+.f64 1 e))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (+.f64 1 e) v))))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 2 (.f64 (/.f64 v (+.f64 1 e)) 4)) 8)
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 2 (/.f64 2 (+.f64 1 e))) (.f64 (/.f64 1 v) 4))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 2 (/.f64 1 (-.f64 -1 e))) (.f64 2 (neg.f64 (/.f64 1 v))))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 2 (/.f64 4 (+.f64 1 e))) (.f64 (/.f64 2 v) 4))
(/.f64 v (+.f64 1 e))
(/.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 1 e)))) (.f64 2 (neg.f64 (/.f64 1 v))))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 -2 (/.f64 1 v)) (*.f64 2 (-.f64 -1 e)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 -2 (/.f64 1 v)) (neg.f64 (+.f64 2 (+.f64 e e))))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 8 (/.f64 1 v)) (.f64 2 (.f64 (+.f64 1 e) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (/.f64 2 v) (+.f64 1 e)) (*.f64 (/.f64 1 v) (/.f64 2 v)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (*.f64 v 4) (+.f64 1 e)) 4)
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (*.f64 v v) (+.f64 1 e)) v)
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 v (-.f64 -1 e)) -1)
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 2 (-.f64 -1 e)) (*.f64 2 (neg.f64 (/.f64 1 v))))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 2 (-.f64 -1 e)) (neg.f64 (/.f64 2 v)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 8 (+.f64 1 e)) (*.f64 (/.f64 2 v) 4))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 4) (/.f64 1 v)) 4)
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (/.f64 1 v) (+.f64 1 e)) (/.f64 1 (*.f64 v v)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (.f64 v (.f64 v (+.f64 v v))) (+.f64 2 (+.f64 e e))) (*.f64 v v))
(.f64 (.f64 v (+.f64 v v)) (/.f64 v (.f64 (.f64 v v) (+.f64 e (+.f64 e 2)))))
(.f64 (.f64 v (+.f64 v v)) (/.f64 (/.f64 v (*.f64 v v)) (+.f64 e (+.f64 e 2))))
(/.f64 (.f64 v (.f64 v (/.f64 v (+.f64 1 e)))) (*.f64 v v))
(/.f64 (/.f64 (/.f64 (+.f64 v v) v) (+.f64 2 (+.f64 e e))) (/.f64 1 v))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (+.f64 1 e) (/.f64 1 v)) (*.f64 (+.f64 1 e) (+.f64 1 e)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 v (+.f64 2 (+.f64 e e))) 1/2)
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) (/.f64 2 v)) 1/2)
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 1 e)) 2) v) (/.f64 2 (.f64 v v)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 e)) v) (/.f64 1 (*.f64 v v)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 e)) v) (/.f64 2 (*.f64 v v)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 e)) (/.f64 1 v)) 2)
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (/.f64 2 (+.f64 1 e)) (+.f64 v v)) (/.f64 1 (*.f64 v v)))
(/.f64 v (+.f64 1 e))
(/.f64 (/.f64 (/.f64 4 (+.f64 1 e)) 2) (/.f64 2 v))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 (+.f64 v v) v)) (-.f64 0 (*.f64 (+.f64 1 e) (/.f64 2 v))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 2)) (neg.f64 (/.f64 2 v)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 2 (+.f64 1 e))) (neg.f64 (/.f64 2 v)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 1 (-.f64 -1 e))) (/.f64 1 v))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 4 (+.f64 1 e))) (neg.f64 (*.f64 (/.f64 1 v) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (.f64 v 4)) (neg.f64 (.f64 (+.f64 1 e) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 e)))) (/.f64 1 v))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (.f64 (/.f64 1 (+.f64 1 e)) 4)) (neg.f64 (.f64 (/.f64 1 v) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 v))) (+.f64 2 (+.f64 e e)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 v))) (-.f64 0 (*.f64 2 (-.f64 -1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 v))) (-.f64 0 (neg.f64 (+.f64 2 (+.f64 e e)))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 v))) (-.f64 0 (.f64 2 (.f64 (+.f64 1 e) 4))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (*.f64 v (/.f64 1 v))) (-.f64 0 (/.f64 (+.f64 1 e) v)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (.f64 2 (.f64 v 4))) (-.f64 0 (.f64 2 (.f64 (+.f64 1 e) 4))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 (/.f64 2 v) (+.f64 1 e))) (-.f64 0 (*.f64 (/.f64 1 v) (/.f64 2 v))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 2))) (/.f64 2 v))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 2))) (-.f64 0 (neg.f64 (/.f64 2 v))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 v (+.f64 1 e))) (-.f64 0 (*.f64 v (/.f64 1 v))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (+.f64 1 e)))) (neg.f64 (.f64 (/.f64 1 v) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (.f64 2 (/.f64 1 (-.f64 -1 e)))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 v)))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (.f64 2 (/.f64 4 (+.f64 1 e)))) (-.f64 0 (.f64 (/.f64 2 v) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 1 e))))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 v)))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 (/.f64 1 v) (+.f64 1 e))) (neg.f64 (/.f64 1 (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 1 (.f64 v (+.f64 1 e)))) (neg.f64 (/.f64 1 (.f64 v v))))
(/.f64 (/.f64 (/.f64 -1 v) (+.f64 1 e)) (/.f64 -1 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 1 v) (-.f64 -1 e)) (/.f64 -1 (*.f64 v v)))
(/.f64 (neg.f64 (/.f64 (*.f64 v v) (+.f64 1 e))) (neg.f64 v))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 e))) (/.f64 2 v))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 e))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 v)))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 e))) (-.f64 0 (neg.f64 (/.f64 2 v))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 8 (+.f64 1 e))) (-.f64 0 (*.f64 (/.f64 2 v) 4)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 (.f64 v (.f64 v (+.f64 v v))) (+.f64 2 (+.f64 e e)))) (neg.f64 (*.f64 v v)))
(.f64 (.f64 v (+.f64 v v)) (/.f64 v (.f64 (.f64 v v) (+.f64 e (+.f64 e 2)))))
(.f64 (.f64 v (+.f64 v v)) (/.f64 (/.f64 v (*.f64 v v)) (+.f64 e (+.f64 e 2))))
(/.f64 (.f64 v (.f64 v (/.f64 v (+.f64 1 e)))) (*.f64 v v))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 v v) v) (+.f64 2 (+.f64 e e)))) (neg.f64 (/.f64 1 v)))
(/.f64 (neg.f64 (/.f64 (+.f64 v v) (*.f64 v (+.f64 e (+.f64 e 2))))) (neg.f64 (/.f64 1 v)))
(/.f64 (/.f64 (/.f64 (*.f64 v -2) v) (+.f64 e (+.f64 e 2))) (/.f64 -1 v))
(/.f64 (/.f64 (/.f64 v (-.f64 -1 e)) v) (/.f64 -1 v))
(/.f64 (neg.f64 (/.f64 (+.f64 1 e) (/.f64 1 v))) (-.f64 0 (*.f64 (+.f64 1 e) (+.f64 1 e))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 1 (+.f64 1 e)) 2) v)) (-.f64 0 (/.f64 2 (.f64 v v))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 1 e)) v)) (neg.f64 (/.f64 1 (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 1 (.f64 v (+.f64 1 e)))) (neg.f64 (/.f64 1 (.f64 v v))))
(/.f64 (/.f64 (/.f64 -1 v) (+.f64 1 e)) (/.f64 -1 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 1 v) (-.f64 -1 e)) (/.f64 -1 (*.f64 v v)))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 1 e)) v)) (-.f64 0 (/.f64 2 (*.f64 v v))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 1 e)) (+.f64 v v))) (neg.f64 (/.f64 1 (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 1 (.f64 v (+.f64 1 e)))) (neg.f64 (/.f64 1 (.f64 v v))))
(/.f64 (/.f64 (/.f64 -1 v) (+.f64 1 e)) (/.f64 -1 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 1 v) (-.f64 -1 e)) (/.f64 -1 (*.f64 v v)))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (+.f64 1 e)) 2)) (neg.f64 (/.f64 2 v)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (+.f64 1 e)))) (/.f64 2 v))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (+.f64 1 e)))) (-.f64 0 (neg.f64 (/.f64 2 v))))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 -1 e)))) (neg.f64 (/.f64 1 v)))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (+.f64 1 e)))) (*.f64 (/.f64 1 v) 4))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (neg.f64 (.f64 v 4))) (.f64 (+.f64 1 e) 4))
(/.f64 v (+.f64 1 e))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 1 e))))) (neg.f64 (/.f64 1 v)))
(/.f64 v (+.f64 1 e))
(pow.f64 (/.f64 v (+.f64 1 e)) 1)
(/.f64 v (+.f64 1 e))
(neg.f64 (/.f64 v (-.f64 -1 e)))
(/.f64 v (+.f64 1 e))

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 v)
✓	0.1b	(/.f64 1 (sin.f64 v))
✓	0.2b	(/.f64 e (/.f64 1 (sin.f64 v)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`rational.json-1`
1370×	`rational.json-2`
1370×	`rational.json-4`
1370×	`rational.json-3`
1354×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	75	28
2	210	22
3	573	22
4	1892	22
5	4854	22

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 1 (sin.f64 v))

Outputs

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

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

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1492×	`rational.json-simplify-35`
1324×	`rational.json-simplify-2`
1154×	`rational.json-simplify-54`
834×	`rational.json-simplify-41`
536×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	1425
1	341	1425
2	682	1407
3	1974	1395
4	5974	1395

Stop Event

1×	node limit

Counts

109 → 114

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 e (cos.f64 v))
✓	0.1b	(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) e))))
✓	0.2b	(/.f64 (sin.f64 v) e)
✓	0.2b	(/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) e)))

Compiler

Compiled 81 to 27 computations (66.7% saved)

series10.0ms (0.1%)

Counts

3 → 52

Calls

18 calls:

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

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`exponential.json-3`
1700×	`rational.json-1`
1700×	`rational.json-2`
1700×	`rational.json-4`
1700×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	129
1	119	129
2	321	129
3	1042	89
4	5109	89

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs

(/.f64 (sin.f64 v) (*.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) e)))

(/.f64 (sin.f64 v) e)

(*.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (*.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) e))))

Outputs

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

simplify191.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1554×	`rational.json-simplify-35`
870×	`rational.json-simplify-50`
810×	`rational.json-simplify-44`
758×	`rational.json-simplify-61`
674×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	550	13085
1	1768	12559
2	5784	12369
3	7943	12369

Stop Event

1×	node limit

Counts

211 → 312

Calls

Call 1

Inputs
(/.f64 e (+.f64 1 e))
(+.f64 (/.f64 e (+.f64 1 e)) (.f64 1/2 (/.f64 (.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 6) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))) e) (+.f64 1 e))) (.f64 1/48 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))))))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
e
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e)))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(/.f64 v e)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 v 3) e)) (/.f64 v e))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 v 3) e)) (+.f64 (/.f64 v e) (.f64 1/120 (/.f64 (pow.f64 v 5) e))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 v 3) e)) (+.f64 (/.f64 v e) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 v 7) e)) (*.f64 1/120 (/.f64 (pow.f64 v 5) e)))))
(/.f64 (*.f64 v e) (pow.f64 (+.f64 1 e) 2))
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(/.f64 (neg.f64 (sin.f64 v)) (.f64 (.f64 (/.f64 (sin.f64 v) e) (-.f64 -1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (neg.f64 (sin.f64 v)) (.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (/.f64 e (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (neg.f64 (.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))
(/.f64 (neg.f64 e) (.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (neg.f64 e) (/.f64 (-.f64 -1 (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v)))) (/.f64 (neg.f64 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v)))) (.f64 (neg.f64 (/.f64 (sin.f64 v) e)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v)))) (-.f64 0 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)))
(/.f64 (/.f64 e (sin.f64 v)) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 4) (.f64 (.f64 (/.f64 (sin.f64 v) e) 4) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 4) (.f64 4 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)))
(/.f64 (.f64 2 (.f64 (sin.f64 v) 4)) (.f64 (.f64 2 (.f64 (.f64 (sin.f64 v) 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (.f64 2 (.f64 (sin.f64 v) 4)) (.f64 (.f64 2 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)))
(/.f64 (.f64 2 (neg.f64 (sin.f64 v))) (.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (.f64 2 (neg.f64 (sin.f64 v))) (.f64 (.f64 2 (-.f64 -1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)))
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)) 4) 4)
(/.f64 (.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) 4) (.f64 4 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (.f64 2 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v))))) (.f64 (.f64 2 (neg.f64 (/.f64 (sin.f64 v) e))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (/.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1 (sin.f64 v)))
(/.f64 (/.f64 2 (/.f64 1/2 e)) (.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (/.f64 2 (/.f64 1/2 e)) (/.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))
(/.f64 (.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (.f64 (sin.f64 v) (/.f64 (+.f64 e e) (+.f64 1 (.f64 e (cos.f64 v))))) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 2))
(/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (.f64 e 4)) (/.f64 4 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (neg.f64 e)) (-.f64 -1 (*.f64 e (cos.f64 v))))
(/.f64 (neg.f64 (.f64 (sin.f64 v) 2)) (.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 e)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (neg.f64 (.f64 (sin.f64 v) 2)) (.f64 (neg.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 2)) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)))
(/.f64 (neg.f64 (+.f64 e e)) (.f64 (neg.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 2)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (+.f64 (.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) 4) (.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) 4)) 8)
(/.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)))
(/.f64 (/.f64 e (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 (sin.f64 v) e))
(/.f64 (/.f64 (.f64 (sin.f64 v) 2) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 e))))
(/.f64 (/.f64 (+.f64 e e) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 2))
(/.f64 (/.f64 (.f64 (sin.f64 v) (/.f64 2 (+.f64 1 (.f64 e (cos.f64 v))))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (sin.f64 v) (/.f64 2 e)))
(/.f64 (/.f64 (.f64 (sin.f64 v) 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (.f64 (sin.f64 v) 4) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)))
(/.f64 (/.f64 (.f64 e 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4))
(/.f64 (/.f64 (.f64 e 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 4 (/.f64 1 (+.f64 1 (*.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (neg.f64 (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (neg.f64 (.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))))
(/.f64 (/.f64 (neg.f64 (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (/.f64 (sin.f64 v) e) (-.f64 -1 (*.f64 e (cos.f64 v)))))
(/.f64 (/.f64 (neg.f64 e) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (-.f64 -1 (.f64 e (cos.f64 v))))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (neg.f64 (/.f64 (sin.f64 v) e)))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (/.f64 (sin.f64 v) e) 4))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 v) 4)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 2 (.f64 (.f64 (sin.f64 v) 4) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))))
(/.f64 (/.f64 (.f64 2 (neg.f64 (sin.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 2 (neg.f64 (.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)))))
(/.f64 (/.f64 (.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) 4) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))) 4)
(/.f64 (/.f64 (.f64 2 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v))))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 2 (neg.f64 (/.f64 (sin.f64 v) e))))
(/.f64 (/.f64 (/.f64 2 (/.f64 1/2 e)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 4))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 v) 2)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (neg.f64 (.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 e)))))
(/.f64 (/.f64 (neg.f64 (+.f64 e e)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (neg.f64 (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 2)))
(/.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (/.f64 (.f64 (sin.f64 v) 2) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 2))
(/.f64 (/.f64 (.f64 (sin.f64 v) 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4))
(/.f64 (/.f64 (neg.f64 (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (-.f64 -1 (.f64 e (cos.f64 v))))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 4) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)) 4)
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 v) 4)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (.f64 2 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4)))
(/.f64 (/.f64 (.f64 2 (neg.f64 (sin.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (.f64 2 (-.f64 -1 (.f64 e (cos.f64 v)))))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 v) 2)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (neg.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1 e)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1 e))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 1 e))
(/.f64 (neg.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v))))) (-.f64 0 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(pow.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) 1)

Outputs
(/.f64 e (+.f64 1 e))
(/.f64 e (+.f64 e 1))
(+.f64 (/.f64 e (+.f64 1 e)) (.f64 1/2 (/.f64 (.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))))
(+.f64 (/.f64 e (+.f64 e 1)) (.f64 1/2 (/.f64 (pow.f64 (.f64 e v) 2) (pow.f64 (+.f64 e 1) 2))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))))
(+.f64 (/.f64 e (+.f64 e 1)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (.f64 e v) 2) (pow.f64 (+.f64 e 1) 2))) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3))))))))
(+.f64 (.f64 (pow.f64 v 4) (neg.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))))) (+.f64 (/.f64 e (+.f64 e 1)) (.f64 1/2 (/.f64 (pow.f64 (*.f64 e v) 2) (pow.f64 (+.f64 e 1) 2)))))
(+.f64 (+.f64 (/.f64 e (+.f64 e 1)) (.f64 1/2 (/.f64 (pow.f64 (.f64 e v) 2) (pow.f64 (+.f64 e 1) 2)))) (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))) (neg.f64 (pow.f64 v 4))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 6) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))) e) (+.f64 1 e))) (.f64 1/48 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))))))))
(+.f64 (/.f64 e (+.f64 e 1)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (.f64 e v) 2) (pow.f64 (+.f64 e 1) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))))) (.f64 -1 (.f64 (pow.f64 v 6) (+.f64 (.f64 1/2 (.f64 e (/.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))) (+.f64 e 1)))) (+.f64 (.f64 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)) 1/48) (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) -1/720))))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (.f64 e v) 2) (pow.f64 (+.f64 e 1) 2))) (+.f64 (/.f64 e (+.f64 e 1)) (.f64 -1 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 e (.f64 (/.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))) (+.f64 e 1)) 1/2)) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) -1/720) (.f64 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)) 1/48)))) (.f64 (pow.f64 v 4) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (.f64 e v) 2) (pow.f64 (+.f64 e 1) 2))) (+.f64 (/.f64 e (+.f64 e 1)) (.f64 -1 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3))))) (.f64 (pow.f64 v 6) (+.f64 (.f64 e (.f64 (/.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))) (+.f64 e 1)) 1/2)) (+.f64 (.f64 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 e 1) 2)) -1/720) (*.f64 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)) 1/48))))))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
e
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 e (.f64 -1 (.f64 (pow.f64 e 2) (cos.f64 v))))
(+.f64 e (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))
(+.f64 e (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e))
(+.f64 (.f64 -1 (.f64 (pow.f64 e 2) (cos.f64 v))) (+.f64 e (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 e (+.f64 (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2)) (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2)))))
(+.f64 e (+.f64 (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e)))
(+.f64 (.f64 -1 (.f64 (pow.f64 e 2) (cos.f64 v))) (+.f64 (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(+.f64 (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) (+.f64 (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))) (*.f64 (pow.f64 (cos.f64 v) 3) (neg.f64 (pow.f64 e 4)))))
(+.f64 (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
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(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 (sin.f64 v) 2) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 e))))
(/.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 2 (sin.f64 v)))) (.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 e))))
(.f64 2 (/.f64 (/.f64 (/.f64 (sin.f64 v) (/.f64 2 e)) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))))
(.f64 2 (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 e)))))
(/.f64 (/.f64 (+.f64 e e) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 2))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 (sin.f64 v) (/.f64 2 (+.f64 1 (.f64 e (cos.f64 v))))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (sin.f64 v) (/.f64 2 e)))
(/.f64 (.f64 (sin.f64 v) (/.f64 2 (+.f64 1 (.f64 e (cos.f64 v))))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 (sin.f64 v) (/.f64 2 e))))
(/.f64 (.f64 (/.f64 2 (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (/.f64 (sin.f64 v) (sin.f64 v)) (/.f64 2 e))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (/.f64 (.f64 (sin.f64 v) 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (.f64 (sin.f64 v) 4) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)))
(/.f64 (.f64 4 (sin.f64 v)) (.f64 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e) (.f64 4 (sin.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 4 (sin.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 4 (sin.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e))
(/.f64 (/.f64 (.f64 e 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 e 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 4 (/.f64 1 (+.f64 1 (*.f64 e (cos.f64 v))))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (neg.f64 (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (neg.f64 (.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (neg.f64 (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (/.f64 (sin.f64 v) e) (-.f64 -1 (*.f64 e (cos.f64 v)))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (neg.f64 e) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (-.f64 -1 (.f64 e (cos.f64 v))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (neg.f64 (/.f64 (sin.f64 v) e)))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (/.f64 (sin.f64 v) e) 4))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 v) 4)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 2 (.f64 (.f64 (sin.f64 v) 4) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))))
(/.f64 (.f64 4 (sin.f64 v)) (.f64 (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e) (.f64 4 (sin.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 4 (sin.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 4 (sin.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e))
(/.f64 (/.f64 (.f64 2 (neg.f64 (sin.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 2 (neg.f64 (.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) 4) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))) 4)
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 2 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v))))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 2 (neg.f64 (/.f64 (sin.f64 v) e))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (/.f64 2 (/.f64 1/2 e)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 4))
(/.f64 (/.f64 e 1/4) (.f64 (.f64 4 (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 4 (/.f64 e 1/4)))))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 v) 2)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (neg.f64 (.f64 (sin.f64 v) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 e)))))
(/.f64 (neg.f64 (.f64 2 (sin.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (neg.f64 (.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 e))))))
(/.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) -2))) (.f64 (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (/.f64 2 e)) (neg.f64 (sin.f64 v))))
(/.f64 (.f64 (neg.f64 (sin.f64 v)) 4) (.f64 -2 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 e)))))
(/.f64 (/.f64 (neg.f64 (+.f64 e e)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (neg.f64 (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) 2)))
(/.f64 (neg.f64 (+.f64 e e)) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (neg.f64 (.f64 2 (+.f64 1 (.f64 e (cos.f64 v)))))))
(/.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (neg.f64 (+.f64 e e)))) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) -2))
(/.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 e -2))) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) -2))
(/.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 (sin.f64 v) 2) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 2))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 (sin.f64 v) 4) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (neg.f64 (sin.f64 v)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (-.f64 -1 (.f64 e (cos.f64 v))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) 4) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)) 4)
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 v) 4)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (.f64 2 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 4)))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (.f64 2 (neg.f64 (sin.f64 v))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (.f64 2 (-.f64 -1 (.f64 e (cos.f64 v)))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 v) 2)) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) (neg.f64 (.f64 (+.f64 1 (.f64 e (cos.f64 v))) 2)))
(/.f64 (neg.f64 (.f64 2 (sin.f64 v))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e) (neg.f64 (.f64 2 (+.f64 1 (*.f64 e (cos.f64 v)))))))
(/.f64 e (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) -2)) (.f64 (+.f64 1 (*.f64 e (cos.f64 v))) -2)))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1 e)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 1 e))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 1 e))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(/.f64 (neg.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v))))) (-.f64 0 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))
(pow.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) e)) 1)
(/.f64 e (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v))))))

eval382.0ms (4.3%)

Compiler: Compiled 22949 to 13458 computations (41.4% saved)

prune213.0ms (2.4%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	969	12	981
Fresh	9	11	20
Picked	1	0	1
Done	2	4	6
Total	981	27	1008

Error

Counts

1008 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	1.8b	(/.f64 (/.f64 (sin.f64 v) (-.f64 -1 (.f64 e (cos.f64 v)))) (/.f64 (neg.f64 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v))))))
	13.3b	(/.f64 (+.f64 -1 (-.f64 (sin.f64 v) -1)) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
	25.6b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (sin.f64 v)) (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (sin.f64 v))) (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (.f64 (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (*.f64 (cos.f64 v) e) 1)))) (/.f64 (sin.f64 v) (/.f64 1 (sin.f64 v))))))
	31.9b	(/.f64 (*.f64 v e) (+.f64 e 1))
	1.7b	(/.f64 (sin.f64 v) (/.f64 1 e))
▶	0.2b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
	13.9b	(/.f64 e (/.f64 1 (+.f64 -1 (-.f64 (sin.f64 v) -1))))
✓	1.8b	(/.f64 e (/.f64 1 (sin.f64 v)))
▶	32.8b	(/.f64 e (/.f64 1 v))
	32.2b	(/.f64 e (+.f64 (/.f64 1 v) (*.f64 v 1/6)))
	31.3b	(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
	1.8b	(/.f64 e (+.f64 -1 (-.f64 1 (/.f64 -1 (sin.f64 v)))))
	4.9b	(/.f64 e (.f64 (/.f64 1 (.f64 (sin.f64 v) (sin.f64 v))) (sin.f64 v)))
	1.9b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 v)) e))
	1.8b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
▶	31.4b	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))
	0.4b	(/.f64 1 (neg.f64 (/.f64 (/.f64 (-.f64 -1 (*.f64 e (cos.f64 v))) e) (sin.f64 v))))
▶	44.1b	(+.f64 -1 (-.f64 1 (*.f64 e (neg.f64 (sin.f64 v)))))
▶	1.7b	(*.f64 (/.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (sin.f64 v))
	7.6b	(.f64 (/.f64 2 (sin.f64 v)) (/.f64 (/.f64 e (/.f64 -1 (-.f64 -1 (.f64 e (cos.f64 v))))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))))
	4.7b	(.f64 (/.f64 1 (/.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (sin.f64 v)))
	1.7b	(*.f64 (sin.f64 v) e)
✓	0.1b	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
✓	31.9b	(*.f64 e (/.f64 v (+.f64 e 1)))
	32.2b	(.f64 e (+.f64 v (.f64 v (neg.f64 e))))
	7.0b	(.f64 e (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))))
✓	32.8b	(*.f64 e v)

Compiler

Compiled 861 to 546 computations (36.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 v)
✓	0.2b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series9.0ms (0.1%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
1.0ms	v	@	0	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
0.0ms	v	@	-inf	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
0.0ms	e	@	-inf	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
0.0ms	e	@	inf	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`rational.json-1`
1820×	`rational.json-2`
1820×	`rational.json-4`
1820×	`rational.json-3`
1810×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	88	27
2	227	27
3	550	27
4	1399	27
5	5041	27

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))

Outputs

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

simplify127.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

958×	`rational.json-simplify-51`
858×	`rational.json-simplify-44`
818×	`rational.json-simplify-47`
782×	`rational.json-simplify-49`
738×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	4342
1	521	4194
2	1170	4144
3	4963	3912
4	7532	3912

Stop Event

1×	node limit

Counts

70 → 129

Calls

Call 1

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

Outputs
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 v (+.f64 1 (/.f64 1 e)))
(+.f64 (/.f64 v (+.f64 (/.f64 1 e) 1)) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (*.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 -1 (-.f64 -1 (/.f64 1 e)))))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 (/.f64 1 e) 1))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 (/.f64 1 e) 1))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1))))))) (+.f64 (/.f64 v (+.f64 (/.f64 1 e) 1)) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) 1/24))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) 1/24))))))
(+.f64 (+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) 1/24)))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 -1 (-.f64 -1 (/.f64 1 e)))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 -1 (-.f64 -1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 -1 (-.f64 -1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) 1/24))))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 (/.f64 1 e) 1))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 (/.f64 1 e) 1))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1))))))) (+.f64 (/.f64 v (+.f64 (/.f64 1 e) 1)) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1))))) (.f64 (pow.f64 v 7) (-.f64 (.f64 1/720 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 (/.f64 1 e) 1))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))) (+.f64 (/.f64 1 e) 1))) (.f64 1/5040 (/.f64 1 (+.f64 (/.f64 1 e) 1))))))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) 1/720) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) 1/24))) (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/5040) (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e))) 1/24)))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) 1/24))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) 1/24)))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) 1/720) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) 1/24))) (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e))) 1/24) (*.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/5040))))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) 1/720) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) 1/24))) (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e))) 1/24) (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/5040))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) 1/24)))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) 1/720) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 (/.f64 -1 (-.f64 -1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 -1 (-.f64 -1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) 1/24))) (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 -1 (-.f64 -1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e))) 1/24) (.f64 (/.f64 -1 (-.f64 -1 (/.f64 1 e))) 1/5040))))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 -1 (-.f64 -1 (/.f64 1 e)))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 -1 (-.f64 -1 (/.f64 1 e))) 1/120) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 -1 (-.f64 -1 (/.f64 1 e))))) (+.f64 1 (/.f64 1 e)))) (.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) 1/24)))))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 e (sin.f64 v)) (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))))
(.f64 (sin.f64 v) (+.f64 e (neg.f64 (.f64 (cos.f64 v) (pow.f64 e 2)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 e (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 (.f64 (cos.f64 v) (pow.f64 e 2)) (neg.f64 (sin.f64 v))) (.f64 (sin.f64 v) (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e)))
(.f64 (sin.f64 v) (+.f64 (neg.f64 (.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 e (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (+.f64 (.f64 e (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 -1 (.f64 (pow.f64 (cos.f64 v) 3) (*.f64 (pow.f64 e 4) (sin.f64 v))))))
(+.f64 (.f64 (.f64 (cos.f64 v) (pow.f64 e 2)) (neg.f64 (sin.f64 v))) (+.f64 (.f64 (sin.f64 v) (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e)) (.f64 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)) (neg.f64 (sin.f64 v)))))
(+.f64 (.f64 (cos.f64 v) (neg.f64 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) (+.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(.f64 (sin.f64 v) (+.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (.f64 -1 (+.f64 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)) (*.f64 (cos.f64 v) (pow.f64 e 2))))))
(/.f64 (sin.f64 v) (cos.f64 v))
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(.f64 (/.f64 1 (sin.f64 v)) (/.f64 (+.f64 (/.f64 2 e) (.f64 (cos.f64 v) 2)) (.f64 2 (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))))))))
(.f64 (/.f64 1 (sin.f64 v)) (/.f64 (/.f64 (+.f64 (/.f64 2 e) (.f64 (cos.f64 v) 2)) 2) (/.f64 (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (sin.f64 v)) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))))))
(/.f64 (.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (+.f64 (/.f64 2 e) (.f64 (cos.f64 v) 2)))) (*.f64 1/2 (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))))) (sin.f64 v))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (/.f64 2 (sin.f64 v)))) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (+.f64 (/.f64 2 e) (.f64 (cos.f64 v) 2)))) (sin.f64 v))
(.f64 (/.f64 1/2 (+.f64 (/.f64 1 e) (cos.f64 v))) (.f64 (sin.f64 v) 2))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(.f64 (.f64 (sin.f64 v) -2) (/.f64 1/2 (neg.f64 (+.f64 (/.f64 1 e) (cos.f64 v)))))
(.f64 (sin.f64 v) (.f64 -2 (/.f64 1/2 (neg.f64 (+.f64 (/.f64 1 e) (cos.f64 v))))))
(.f64 (.f64 (sin.f64 v) -2) (/.f64 -1/2 (+.f64 (/.f64 1 e) (cos.f64 v))))
(.f64 (sin.f64 v) (.f64 -2 (/.f64 -1/2 (+.f64 (/.f64 1 e) (cos.f64 v)))))
(.f64 (.f64 (sin.f64 v) -2) (/.f64 1 (*.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) -2)))
(.f64 (.f64 (sin.f64 v) -2) (/.f64 1/2 (neg.f64 (+.f64 (/.f64 1 e) (cos.f64 v)))))
(.f64 (sin.f64 v) (.f64 -2 (/.f64 1/2 (neg.f64 (+.f64 (/.f64 1 e) (cos.f64 v))))))
(.f64 (.f64 (sin.f64 v) -2) (/.f64 -1/2 (+.f64 (/.f64 1 e) (cos.f64 v))))
(.f64 (sin.f64 v) (.f64 -2 (/.f64 -1/2 (+.f64 (/.f64 1 e) (cos.f64 v)))))
(.f64 (.f64 (sin.f64 v) -2) (/.f64 1 (neg.f64 (+.f64 (/.f64 2 e) (*.f64 (cos.f64 v) 2)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 v) 2) (neg.f64 (+.f64 (/.f64 2 e) (*.f64 (cos.f64 v) 2)))))
(neg.f64 (.f64 (sin.f64 v) (/.f64 2 (neg.f64 (+.f64 (/.f64 2 e) (.f64 (cos.f64 v) 2))))))
(.f64 -2 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (/.f64 2 e) (.f64 (cos.f64 v) 2))))
(.f64 (.f64 2 (/.f64 1 (+.f64 (/.f64 1 e) (cos.f64 v)))) (*.f64 (sin.f64 v) 1/2))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (/.f64 1 e) (cos.f64 v)))) -1)
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(.f64 (/.f64 1/2 (sin.f64 v)) (/.f64 (+.f64 (/.f64 2 e) (.f64 (cos.f64 v) 2)) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))))))
(.f64 (/.f64 1/2 (sin.f64 v)) (/.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (+.f64 (/.f64 2 e) (*.f64 (cos.f64 v) 2)))))
(.f64 (/.f64 1/2 (sin.f64 v)) (.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (+.f64 (/.f64 2 e) (*.f64 (cos.f64 v) 2))))))
(.f64 (sin.f64 v) (.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (+.f64 (/.f64 2 e) (.f64 (cos.f64 v) 2))))) (/.f64 1/2 (sin.f64 v))))
(.f64 (.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (/.f64 1/2 (sin.f64 v))) (/.f64 2 (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))))))
(.f64 (.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (/.f64 1/2 (sin.f64 v))) (/.f64 (*.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) 2)))
(.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (.f64 (/.f64 1/2 (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))) (/.f64 (sin.f64 v) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) 2)))))
(.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (.f64 (/.f64 1/2 (sin.f64 v)) (.f64 (/.f64 (.f64 (sin.f64 v) (sin.f64 v)) (+.f64 (/.f64 1 e) (cos.f64 v))) (/.f64 2 (+.f64 (/.f64 1 e) (cos.f64 v))))))
(.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))) (.f64 (.f64 (sin.f64 v) (/.f64 2 (+.f64 (/.f64 1 e) (cos.f64 v)))) (.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (/.f64 1/2 (sin.f64 v)))))
(.f64 (/.f64 (.f64 (sin.f64 v) 1/2) (+.f64 (/.f64 1 e) (cos.f64 v))) 2)
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(.f64 (/.f64 2 (+.f64 (/.f64 1 e) (cos.f64 v))) (.f64 (sin.f64 v) 1/2))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(.f64 1/4 (.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))) 4))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(.f64 (/.f64 -1 (sin.f64 v)) (/.f64 (neg.f64 (+.f64 (/.f64 1 e) (cos.f64 v))) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))))))
(.f64 (/.f64 -1 (sin.f64 v)) (/.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (neg.f64 (+.f64 (/.f64 1 e) (cos.f64 v))))))
(.f64 (/.f64 -1 (sin.f64 v)) (.f64 -1 (*.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))))))
(/.f64 (*.f64 (sin.f64 v) (/.f64 (sin.f64 v) (neg.f64 (+.f64 (/.f64 1 e) (cos.f64 v))))) (neg.f64 (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (/.f64 1 e) (cos.f64 v)))) (neg.f64 (sin.f64 v)))
(.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 1 e) (cos.f64 v))) 4) (.f64 (sin.f64 v) 4))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(*.f64 (/.f64 -1 (+.f64 (/.f64 1 e) (cos.f64 v))) (neg.f64 (sin.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(.f64 (.f64 (sin.f64 v) 1/2) (/.f64 2 (+.f64 (/.f64 1 e) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(.f64 (/.f64 2 (sin.f64 v)) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (.f64 2 (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))))))))
(.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (/.f64 (/.f64 1 (sin.f64 v)) (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))))))
(.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (/.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))) (*.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (sin.f64 v))))
(.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))) (sin.f64 v))))
(*.f64 (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))) (sin.f64 v)))
(pow.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))) 1)
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (/.f64 1 e) (cos.f64 v)))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 e (/.f64 1 v))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`rational.json-1`
1640×	`rational.json-2`
1640×	`rational.json-4`
1640×	`rational.json-3`
1624×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	62	13
2	185	7
3	505	7
4	1730	7
5	4978	7

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

Inputs
(/.f64 e (/.f64 1 v))

Outputs

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

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1422×	`rational.json-simplify-2`
1032×	`rational.json-simplify-35`
1020×	`rational.json-simplify-1`
658×	`rational.json-simplify-59`
610×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	623
1	296	623
2	567	623
3	1807	623
4	4643	623
5	7090	623

Stop Event

1×	node limit

Counts

89 → 65

Calls

Call 1

Inputs
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(+.f64 (*.f64 e v) 0)
(+.f64 0 (*.f64 e v))
(+.f64 (/.f64 e (/.f64 2 v)) (/.f64 e (/.f64 2 v)))
(-.f64 (*.f64 e v) 0)
(-.f64 0 (*.f64 e (neg.f64 v)))
(-.f64 0 (/.f64 e (/.f64 -1 v)))
(*.f64 e v)
(.f64 e (.f64 (/.f64 2 (/.f64 1 v)) 1/2))
(.f64 1 (.f64 e v))
(*.f64 v e)
(*.f64 v (/.f64 v (/.f64 v e)))
(.f64 v (.f64 (/.f64 v (/.f64 v e)) 1))
(.f64 v (.f64 (/.f64 2 (/.f64 1 e)) 1/2))
(.f64 (.f64 e v) 1)
(*.f64 2 (/.f64 e (/.f64 2 v)))
(*.f64 2 (/.f64 v (/.f64 2 e)))
(.f64 2 (/.f64 (.f64 e v) 2))
(.f64 2 (.f64 (/.f64 v 2) e))
(.f64 2 (.f64 (/.f64 e (/.f64 2 v)) 1))
(.f64 2 (.f64 (/.f64 v (/.f64 2 e)) 1))
(.f64 2 (.f64 (/.f64 (*.f64 e v) 2) 1))
(.f64 2 (.f64 (*.f64 e 1/2) v))
(.f64 2 (.f64 (*.f64 e v) 1/2))
(.f64 2 (.f64 e (/.f64 v 2)))
(.f64 2 (.f64 v (*.f64 e 1/2)))
(.f64 (+.f64 v v) (.f64 e 1/2))
(*.f64 (+.f64 e e) (/.f64 v 2))
(.f64 (+.f64 e e) (.f64 v 1/2))
(.f64 (+.f64 e e) (.f64 (*.f64 v 1/2) 1))
(.f64 (.f64 v v) (/.f64 1 (/.f64 v e)))
(.f64 (.f64 v v) (*.f64 (/.f64 1 (/.f64 v e)) 1))
(.f64 (.f64 v 4) (/.f64 1 (/.f64 4 e)))
(.f64 (.f64 v 4) (*.f64 1/4 e))
(.f64 (.f64 v 4) (.f64 1/2 (.f64 e 1/2)))
(.f64 (.f64 v 4) (*.f64 (/.f64 1 (/.f64 4 e)) 1))
(.f64 (.f64 e (+.f64 v v)) 1/2)
(.f64 (.f64 e 4) (/.f64 1 (*.f64 (/.f64 1 v) 4)))
(.f64 (.f64 e 4) (*.f64 1/4 v))
(.f64 (.f64 e 4) (.f64 (/.f64 1 (.f64 (/.f64 1 v) 4)) 1))
(.f64 (.f64 e 4) (.f64 (.f64 v 1/2) 1/2))
(.f64 (.f64 e 4) (*.f64 1/2 (/.f64 v 2)))
(.f64 -1 (.f64 e (neg.f64 v)))
(*.f64 -1 (/.f64 e (/.f64 -1 v)))
(.f64 -1 (.f64 (/.f64 e (/.f64 -1 v)) 1))
(*.f64 (neg.f64 v) (neg.f64 e))
(*.f64 (neg.f64 e) (neg.f64 v))
(*.f64 (neg.f64 e) (/.f64 1 (/.f64 -1 v)))
(.f64 (neg.f64 e) (.f64 (/.f64 1 (/.f64 -1 v)) 1))
(.f64 (.f64 e (neg.f64 v)) -1)
(.f64 1/2 (.f64 e (+.f64 v v)))
(*.f64 (/.f64 v 2) (+.f64 e e))
(.f64 (.f64 e 1/2) (+.f64 v v))
(.f64 (.f64 v 1/2) (+.f64 e e))
(*.f64 (/.f64 e (/.f64 -1 v)) -1)
(*.f64 (/.f64 e (/.f64 2 v)) 2)
(*.f64 (/.f64 v (/.f64 2 e)) 2)
(.f64 (/.f64 1 (/.f64 v e)) (.f64 v v))
(*.f64 (/.f64 v (/.f64 v e)) v)
(.f64 (/.f64 1 (/.f64 4 e)) (.f64 v 4))
(.f64 (/.f64 (.f64 e v) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 1 v) 4)) (*.f64 e 4))
(*.f64 (/.f64 1 (/.f64 -1 v)) (neg.f64 e))
(pow.f64 (*.f64 e v) 1)
(neg.f64 (*.f64 e (neg.f64 v)))
(neg.f64 (/.f64 e (/.f64 -1 v)))

Outputs
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(*.f64 v e)
(+.f64 (*.f64 e v) 0)
(*.f64 v e)
(+.f64 0 (*.f64 e v))
(*.f64 v e)
(+.f64 (/.f64 e (/.f64 2 v)) (/.f64 e (/.f64 2 v)))
(*.f64 v e)
(-.f64 (*.f64 e v) 0)
(*.f64 v e)
(-.f64 0 (*.f64 e (neg.f64 v)))
(*.f64 v e)
(-.f64 0 (/.f64 e (/.f64 -1 v)))
(*.f64 v e)
(*.f64 e v)
(*.f64 v e)
(.f64 e (.f64 (/.f64 2 (/.f64 1 v)) 1/2))
(*.f64 v e)
(.f64 1 (.f64 e v))
(*.f64 v e)
(*.f64 v e)
(*.f64 v (/.f64 v (/.f64 v e)))
(*.f64 v e)
(.f64 v (.f64 (/.f64 v (/.f64 v e)) 1))
(*.f64 v e)
(.f64 v (.f64 (/.f64 2 (/.f64 1 e)) 1/2))
(*.f64 v e)
(.f64 (.f64 e v) 1)
(*.f64 v e)
(*.f64 2 (/.f64 e (/.f64 2 v)))
(*.f64 v e)
(*.f64 2 (/.f64 v (/.f64 2 e)))
(*.f64 v e)
(.f64 2 (/.f64 (.f64 e v) 2))
(*.f64 v e)
(.f64 2 (.f64 (/.f64 v 2) e))
(*.f64 v e)
(.f64 2 (.f64 (/.f64 e (/.f64 2 v)) 1))
(*.f64 v e)
(.f64 2 (.f64 (/.f64 v (/.f64 2 e)) 1))
(*.f64 v e)
(.f64 2 (.f64 (/.f64 (*.f64 e v) 2) 1))
(*.f64 v e)
(.f64 2 (.f64 (*.f64 e 1/2) v))
(*.f64 v e)
(.f64 2 (.f64 (*.f64 e v) 1/2))
(*.f64 v e)
(.f64 2 (.f64 e (/.f64 v 2)))
(*.f64 v e)
(.f64 2 (.f64 v (*.f64 e 1/2)))
(*.f64 v e)
(.f64 (+.f64 v v) (.f64 e 1/2))
(*.f64 v e)
(*.f64 (+.f64 e e) (/.f64 v 2))
(*.f64 v e)
(.f64 (+.f64 e e) (.f64 v 1/2))
(*.f64 v e)
(.f64 (+.f64 e e) (.f64 (*.f64 v 1/2) 1))
(*.f64 v e)
(.f64 (.f64 v v) (/.f64 1 (/.f64 v e)))
(*.f64 v e)
(.f64 (.f64 v v) (*.f64 (/.f64 1 (/.f64 v e)) 1))
(*.f64 v e)
(.f64 (.f64 v 4) (/.f64 1 (/.f64 4 e)))
(*.f64 v e)
(.f64 (.f64 v 4) (*.f64 1/4 e))
(*.f64 v e)
(.f64 (.f64 v 4) (.f64 1/2 (.f64 e 1/2)))
(*.f64 v e)
(.f64 (.f64 v 4) (*.f64 (/.f64 1 (/.f64 4 e)) 1))
(*.f64 v e)
(.f64 (.f64 e (+.f64 v v)) 1/2)
(*.f64 v e)
(.f64 (.f64 e 4) (/.f64 1 (*.f64 (/.f64 1 v) 4)))
(*.f64 v e)
(.f64 (.f64 e 4) (*.f64 1/4 v))
(*.f64 v e)
(.f64 (.f64 e 4) (.f64 (/.f64 1 (.f64 (/.f64 1 v) 4)) 1))
(*.f64 v e)
(.f64 (.f64 e 4) (.f64 (.f64 v 1/2) 1/2))
(*.f64 v e)
(.f64 (.f64 e 4) (*.f64 1/2 (/.f64 v 2)))
(*.f64 v e)
(.f64 -1 (.f64 e (neg.f64 v)))
(*.f64 v e)
(*.f64 -1 (/.f64 e (/.f64 -1 v)))
(*.f64 v e)
(.f64 -1 (.f64 (/.f64 e (/.f64 -1 v)) 1))
(*.f64 v e)
(*.f64 (neg.f64 v) (neg.f64 e))
(*.f64 v e)
(*.f64 (neg.f64 e) (neg.f64 v))
(*.f64 v e)
(*.f64 (neg.f64 e) (/.f64 1 (/.f64 -1 v)))
(*.f64 v e)
(.f64 (neg.f64 e) (.f64 (/.f64 1 (/.f64 -1 v)) 1))
(*.f64 v e)
(.f64 (.f64 e (neg.f64 v)) -1)
(*.f64 v e)
(.f64 1/2 (.f64 e (+.f64 v v)))
(*.f64 v e)
(*.f64 (/.f64 v 2) (+.f64 e e))
(*.f64 v e)
(.f64 (.f64 e 1/2) (+.f64 v v))
(*.f64 v e)
(.f64 (.f64 v 1/2) (+.f64 e e))
(*.f64 v e)
(*.f64 (/.f64 e (/.f64 -1 v)) -1)
(*.f64 v e)
(*.f64 (/.f64 e (/.f64 2 v)) 2)
(*.f64 v e)
(*.f64 (/.f64 v (/.f64 2 e)) 2)
(*.f64 v e)
(.f64 (/.f64 1 (/.f64 v e)) (.f64 v v))
(*.f64 v e)
(*.f64 (/.f64 v (/.f64 v e)) v)
(*.f64 v e)
(.f64 (/.f64 1 (/.f64 4 e)) (.f64 v 4))
(*.f64 v e)
(.f64 (/.f64 (.f64 e v) 2) 2)
(*.f64 v e)
(.f64 (/.f64 1 (.f64 (/.f64 1 v) 4)) (*.f64 e 4))
(*.f64 v e)
(*.f64 (/.f64 1 (/.f64 -1 v)) (neg.f64 e))
(*.f64 v e)
(pow.f64 (*.f64 e v) 1)
(*.f64 v e)
(neg.f64 (*.f64 e (neg.f64 v)))
(*.f64 v e)
(neg.f64 (/.f64 e (/.f64 -1 v)))
(*.f64 v e)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e)))))
✓	0.2b	(/.f64 1 (*.f64 v e))
✓	0.4b	(*.f64 -1/6 (/.f64 (+.f64 e 1) e))
✓	1.2b	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))

Compiler

Compiled 128 to 88 computations (31.3% saved)

series12.0ms (0.1%)

Counts

4 → 60

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	e	@	0	(*.f64 -1/6 (/.f64 (+.f64 e 1) e))
1.0ms	v	@	inf	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))
1.0ms	v	@	0	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))
1.0ms	e	@	0	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))
1.0ms	e	@	inf	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`rational.json-1`
1852×	`rational.json-2`
1410×	`rational.json-simplify-35`
1100×	`exponential.json-3`
1100×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	138
1	155	138
2	375	138
3	995	132
4	3105	132
5	7274	132

Stop Event

1×	node limit

Counts

4 → 53

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))
(*.f64 -1/6 (/.f64 (+.f64 e 1) e))
(/.f64 1 (*.f64 v e))
(.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e)))))

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

simplify139.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational.json-simplify-46`
1244×	`rational.json-simplify-61`
1230×	`rational.json-simplify-51`
970×	`rational.json-simplify-35`
812×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	7275
1	685	6955
2	1577	6899
3	4198	6487
4	7468	6487

Stop Event

1×	node limit

Counts

113 → 169

Calls

Call 1

Inputs
(/.f64 v (+.f64 1 (/.f64 1 e)))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (/.f64 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (pow.f64 v 3)) (*.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1))))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (pow.f64 v 5)) (.f64 (pow.f64 (+.f64 1 (/.f64 1 e)) 2) (+.f64 (/.f64 1 e) 1))) (+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (/.f64 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (pow.f64 v 3)) (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 3) (pow.f64 v 7)) (.f64 (pow.f64 (+.f64 1 (/.f64 1 e)) 2) (pow.f64 (+.f64 (/.f64 1 e) 1) 2))) (+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (pow.f64 v 3)) (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e)))) (/.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (pow.f64 v 5)) (*.f64 (+.f64 (/.f64 1 e) 1) (pow.f64 (+.f64 1 (/.f64 1 e)) 2))))))
(/.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(-.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) e)) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2))) (pow.f64 v 3))) (/.f64 1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) e)) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2))) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) e)) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2)))) (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (pow.f64 v 5))))) (/.f64 1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) e)) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2))) (pow.f64 v 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 e) 1) (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) e)) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2))))) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (pow.f64 v 7)))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) e)) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2)))) (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (pow.f64 v 5)))))) (/.f64 1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))
(/.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 e)) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (pow.f64 v 3)))) (/.f64 1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 3) (pow.f64 v 5)))) (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 e)) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (pow.f64 v 3))))) (/.f64 1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 3) (pow.f64 v 5)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 e) 1) (pow.f64 (+.f64 1 (/.f64 1 e)) 2)) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 4) (pow.f64 v 7)))) (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 e)) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (pow.f64 v 3)))))) (/.f64 1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
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(/.f64 1 (+.f64 (/.f64 1 v) (*.f64 -1/3 v)))
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(+.f64 (/.f64 1 (+.f64 (/.f64 1 v) (.f64 -1/3 v))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2))) (.f64 1/6 (/.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2)))) e)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2))) (.f64 1/6 (/.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2)))) (pow.f64 (+.f64 (.f64 1/6 v) (/.f64 1 v)) 2)) (.f64 (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2) (pow.f64 e 3)))) (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2))) (.f64 1/6 (/.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2)))) (+.f64 (.f64 1/6 v) (/.f64 1 v))) (.f64 (+.f64 (/.f64 1 v) (*.f64 -1/3 v)) (pow.f64 e 2))))))
(/.f64 1 (+.f64 (/.f64 1 v) (*.f64 -1/3 v)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 v) (.f64 -1/3 v))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2))) (.f64 -1/6 (/.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2)))) e)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 v) (.f64 -1/3 v))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2))) (.f64 -1/6 (/.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2)))) e)) (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2))) (.f64 -1/6 (/.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2)))) (-.f64 (.f64 -1/6 v) (/.f64 1 v))) (.f64 (+.f64 (/.f64 1 v) (*.f64 -1/3 v)) (pow.f64 e 2))))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 v) (.f64 -1/3 v))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2))) (.f64 -1/6 (/.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2)))) (pow.f64 (-.f64 (.f64 -1/6 v) (/.f64 1 v)) 2)) (.f64 (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2))) (.f64 -1/6 (/.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2)))) e)) (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2))) (.f64 -1/6 (/.f64 v (pow.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) 2)))) (-.f64 (.f64 -1/6 v) (/.f64 1 v))) (.f64 (+.f64 (/.f64 1 v) (.f64 -1/3 v)) (pow.f64 e 2)))))))
(/.f64 -1/6 e)
(neg.f64 (+.f64 1/6 (*.f64 1/6 (/.f64 1 e))))
(neg.f64 (+.f64 1/6 (*.f64 1/6 (/.f64 1 e))))
(neg.f64 (+.f64 1/6 (*.f64 1/6 (/.f64 1 e))))
-1/6
(neg.f64 (+.f64 (*.f64 1/6 (/.f64 1 e)) 1/6))
(neg.f64 (+.f64 (*.f64 1/6 (/.f64 1 e)) 1/6))
(neg.f64 (+.f64 (*.f64 1/6 (/.f64 1 e)) 1/6))
-1/6
(neg.f64 (+.f64 (*.f64 1/6 (/.f64 1 e)) 1/6))
(neg.f64 (+.f64 (*.f64 1/6 (/.f64 1 e)) 1/6))
(neg.f64 (+.f64 (*.f64 1/6 (/.f64 1 e)) 1/6))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(*.f64 1/6 (/.f64 v e))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(*.f64 -1/3 v)
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(*.f64 -1/3 v)
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))) 0)
(+.f64 0 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))))
(-.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))) 0)
(.f64 1 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (.f64 v e)))))
(.f64 1/2 (.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))) 2))
(.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (.f64 v e)))) 1)
(.f64 2 (/.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (.f64 v e)))) 2))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))) 2) 1/2)
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (.f64 v e)))) 2) 2)
(pow.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))) 1)
(+.f64 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))) 0)
(+.f64 0 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))))
(-.f64 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))) 0)
(/.f64 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))) 1)
(/.f64 (*.f64 -1/6 (+.f64 2 (/.f64 2 e))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 1 e)) -2/3) 4)
(/.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 e)) -2/3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 e)) -2/3)) (.f64 2 (.f64 (+.f64 1 (/.f64 1 e)) -2/3))) 16)
(pow.f64 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))) 1)
(+.f64 (/.f64 1 (*.f64 v e)) 0)
(+.f64 0 (/.f64 1 (*.f64 v e)))
(-.f64 (/.f64 1 (*.f64 v e)) 0)
(.f64 1 (/.f64 1 (.f64 v e)))
(*.f64 (/.f64 1 v) (/.f64 1 e))
(.f64 (/.f64 1 (.f64 v e)) 1)
(*.f64 1/2 (/.f64 (/.f64 2 v) e))
(*.f64 -1 (/.f64 (/.f64 -1 v) e))
(.f64 2 (.f64 (/.f64 1 v) (/.f64 1/2 e)))
(.f64 2 (/.f64 (/.f64 1 (.f64 v e)) 2))
(*.f64 (/.f64 1 e) (/.f64 1 v))
(*.f64 (/.f64 2 v) (/.f64 1/2 e))
(*.f64 (/.f64 (/.f64 2 v) e) 1/2)
(*.f64 (/.f64 -1 v) (/.f64 -1 e))
(.f64 (/.f64 2 e) (/.f64 2 (.f64 v 4)))
(*.f64 (/.f64 -1 e) (/.f64 -1 v))
(*.f64 (/.f64 1/2 e) (/.f64 2 v))
(.f64 (/.f64 2 (.f64 v 4)) (/.f64 2 e))
(*.f64 (/.f64 (/.f64 -1 v) e) -1)
(.f64 (.f64 (/.f64 1 v) (/.f64 1/2 e)) 2)
(.f64 (/.f64 (/.f64 1 (.f64 v e)) 2) 2)
(pow.f64 (/.f64 1 (*.f64 v e)) 1)
(neg.f64 (/.f64 (/.f64 -1 v) e))
(+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) 0)
(+.f64 0 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))))
(-.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) 0)
(/.f64 (neg.f64 (+.f64 1/2 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))))) (/.f64 1 v))
(/.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) 1)
(/.f64 (.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (*.f64 v -2)) 2)
(/.f64 (.f64 v (.f64 (+.f64 1/2 (*.f64 -1/6 (+.f64 1 (/.f64 1 e)))) -4)) 4)
(/.f64 (.f64 2 (.f64 v (.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))) -4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 v (.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))) -4))) (.f64 2 (.f64 v (.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))) -4)))) 16)
(pow.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) 1)
(neg.f64 (.f64 v (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e))))))

Outputs
(/.f64 v (+.f64 1 (/.f64 1 e)))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (/.f64 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (pow.f64 v 3)) (*.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (/.f64 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (pow.f64 v 3)) (*.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (/.f64 (pow.f64 v 3) (*.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (/.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (*.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (pow.f64 v 5)) (.f64 (pow.f64 (+.f64 1 (/.f64 1 e)) 2) (+.f64 (/.f64 1 e) 1))) (+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (/.f64 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (pow.f64 v 3)) (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (pow.f64 v 3)) (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (.f64 (pow.f64 v 5) (/.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (.f64 (+.f64 1 (/.f64 1 e)) (pow.f64 (+.f64 1 (/.f64 1 e)) 2))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (/.f64 (pow.f64 v 3) (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (/.f64 (pow.f64 v 5) (.f64 (+.f64 1 (/.f64 1 e)) (pow.f64 (+.f64 1 (/.f64 1 e)) 2))))))
(+.f64 (+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (/.f64 (pow.f64 v 3) (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (/.f64 (pow.f64 v 5) (.f64 (+.f64 1 (/.f64 1 e)) (pow.f64 (+.f64 1 (/.f64 1 e)) 2)))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (/.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))) (.f64 (pow.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) 2) (/.f64 (pow.f64 v 5) (.f64 (+.f64 1 (/.f64 1 e)) (pow.f64 (+.f64 1 (/.f64 1 e)) 2))))))
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(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(*.f64 1/6 (/.f64 v e))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 v -1/3) (.f64 1/6 (/.f64 v e)))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 v -1/3) (.f64 1/6 (/.f64 v e)))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 v -1/3) (.f64 1/6 (/.f64 v e)))
(*.f64 -1/3 v)
(*.f64 v -1/3)
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 v -1/3) (.f64 1/6 (/.f64 v e)))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 v -1/3) (.f64 1/6 (/.f64 v e)))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 v -1/3) (.f64 1/6 (/.f64 v e)))
(*.f64 -1/3 v)
(*.f64 v -1/3)
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 v -1/3) (.f64 1/6 (/.f64 v e)))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 v -1/3) (.f64 1/6 (/.f64 v e)))
(+.f64 (.f64 1/6 (/.f64 v e)) (.f64 -1/3 v))
(+.f64 (.f64 v -1/3) (.f64 1/6 (/.f64 v e)))
(+.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))) 0)
(/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)))) (/.f64 (+.f64 1 e) (*.f64 v e))))
(/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v)) (/.f64 (+.f64 1 e) (*.f64 v e))))
(+.f64 0 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))))
(/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)))) (/.f64 (+.f64 1 e) (*.f64 v e))))
(/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v)) (/.f64 (+.f64 1 e) (*.f64 v e))))
(-.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))) 0)
(/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)))) (/.f64 (+.f64 1 e) (*.f64 v e))))
(/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v)) (/.f64 (+.f64 1 e) (*.f64 v e))))
(.f64 1 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (.f64 v e)))))
(/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)))) (/.f64 (+.f64 1 e) (*.f64 v e))))
(/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v)) (/.f64 (+.f64 1 e) (*.f64 v e))))
(.f64 1/2 (.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))) 2))
(/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)))) (/.f64 (+.f64 1 e) (*.f64 v e))))
(/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v)) (/.f64 (+.f64 1 e) (*.f64 v e))))
(.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (.f64 v e)))) 1)
(/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)))) (/.f64 (+.f64 1 e) (*.f64 v e))))
(/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v)) (/.f64 (+.f64 1 e) (*.f64 v e))))
(.f64 2 (/.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (.f64 v e)))) 2))
(/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)))) (/.f64 (+.f64 1 e) (*.f64 v e))))
(/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v)) (/.f64 (+.f64 1 e) (*.f64 v e))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))) 2) 1/2)
(/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)))) (/.f64 (+.f64 1 e) (*.f64 v e))))
(/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v)) (/.f64 (+.f64 1 e) (*.f64 v e))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (.f64 v e)))) 2) 2)
(/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)))) (/.f64 (+.f64 1 e) (*.f64 v e))))
(/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v)) (/.f64 (+.f64 1 e) (*.f64 v e))))
(pow.f64 (/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) (/.f64 (+.f64 1 e) (*.f64 v e)))) 1)
(/.f64 1 (+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)))) (/.f64 (+.f64 1 e) (*.f64 v e))))
(/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v)) (/.f64 (+.f64 1 e) (*.f64 v e))))
(+.f64 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))) 0)
(*.f64 (+.f64 1 (/.f64 1 e)) -1/6)
(+.f64 0 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))))
(*.f64 (+.f64 1 (/.f64 1 e)) -1/6)
(-.f64 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))) 0)
(*.f64 (+.f64 1 (/.f64 1 e)) -1/6)
(/.f64 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))) 1)
(*.f64 (+.f64 1 (/.f64 1 e)) -1/6)
(/.f64 (*.f64 -1/6 (+.f64 2 (/.f64 2 e))) 2)
(*.f64 (+.f64 1 (/.f64 1 e)) -1/6)
(/.f64 (*.f64 (+.f64 1 (/.f64 1 e)) -2/3) 4)
(*.f64 (+.f64 1 (/.f64 1 e)) -1/6)
(/.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 e)) -2/3)) 8)
(*.f64 (+.f64 1 (/.f64 1 e)) -1/6)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 e)) -2/3)) (.f64 2 (.f64 (+.f64 1 (/.f64 1 e)) -2/3))) 16)
(*.f64 (+.f64 1 (/.f64 1 e)) -1/6)
(pow.f64 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))) 1)
(*.f64 (+.f64 1 (/.f64 1 e)) -1/6)
(+.f64 (/.f64 1 (*.f64 v e)) 0)
(/.f64 1 (*.f64 v e))
(+.f64 0 (/.f64 1 (*.f64 v e)))
(/.f64 1 (*.f64 v e))
(-.f64 (/.f64 1 (*.f64 v e)) 0)
(/.f64 1 (*.f64 v e))
(.f64 1 (/.f64 1 (.f64 v e)))
(/.f64 1 (*.f64 v e))
(*.f64 (/.f64 1 v) (/.f64 1 e))
(*.f64 (/.f64 1 e) (/.f64 1 v))
(.f64 (/.f64 1 (.f64 v e)) 1)
(/.f64 1 (*.f64 v e))
(*.f64 1/2 (/.f64 (/.f64 2 v) e))
(*.f64 1/2 (/.f64 (/.f64 2 e) v))
(.f64 1/2 (/.f64 2 (.f64 v e)))
(*.f64 -1 (/.f64 (/.f64 -1 v) e))
(/.f64 1 (*.f64 v e))
(.f64 2 (.f64 (/.f64 1 v) (/.f64 1/2 e)))
(.f64 (/.f64 1 v) (.f64 (/.f64 1/2 e) 2))
(.f64 (/.f64 1 v) (.f64 2 (/.f64 1/2 e)))
(.f64 2 (/.f64 (/.f64 1 (.f64 v e)) 2))
(/.f64 1 (*.f64 v e))
(*.f64 (/.f64 1 e) (/.f64 1 v))
(*.f64 (/.f64 2 v) (/.f64 1/2 e))
(*.f64 (/.f64 (/.f64 2 v) e) 1/2)
(*.f64 1/2 (/.f64 (/.f64 2 e) v))
(.f64 1/2 (/.f64 2 (.f64 v e)))
(*.f64 (/.f64 -1 v) (/.f64 -1 e))
(.f64 (/.f64 2 e) (/.f64 2 (.f64 v 4)))
(/.f64 1 (*.f64 v e))
(*.f64 (/.f64 -1 e) (/.f64 -1 v))
(*.f64 (/.f64 -1 v) (/.f64 -1 e))
(*.f64 (/.f64 1/2 e) (/.f64 2 v))
(*.f64 (/.f64 2 v) (/.f64 1/2 e))
(.f64 (/.f64 2 (.f64 v 4)) (/.f64 2 e))
(/.f64 1 (*.f64 v e))
(*.f64 (/.f64 (/.f64 -1 v) e) -1)
(/.f64 1 (*.f64 v e))
(.f64 (.f64 (/.f64 1 v) (/.f64 1/2 e)) 2)
(.f64 (/.f64 1 v) (.f64 (/.f64 1/2 e) 2))
(.f64 (/.f64 1 v) (.f64 2 (/.f64 1/2 e)))
(.f64 2 (.f64 (/.f64 1 v) (/.f64 1/2 e)))
(.f64 (/.f64 (/.f64 1 (.f64 v e)) 2) 2)
(/.f64 1 (*.f64 v e))
(pow.f64 (/.f64 1 (*.f64 v e)) 1)
(/.f64 1 (*.f64 v e))
(neg.f64 (/.f64 (/.f64 -1 v) e))
(/.f64 1 (*.f64 v e))
(+.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) 0)
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(+.f64 0 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(-.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) 0)
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(/.f64 (neg.f64 (+.f64 1/2 (*.f64 -1/6 (+.f64 1 (/.f64 1 e))))) (/.f64 1 v))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(/.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) 1)
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(/.f64 (.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (*.f64 v -2)) 2)
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(/.f64 (.f64 v (.f64 (+.f64 1/2 (*.f64 -1/6 (+.f64 1 (/.f64 1 e)))) -4)) 4)
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(/.f64 (.f64 2 (.f64 v (.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))) -4))) 8)
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(/.f64 (+.f64 (.f64 2 (.f64 v (.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))) -4))) (.f64 2 (.f64 v (.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))) -4)))) 16)
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(pow.f64 (.f64 v (neg.f64 (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e)))))) 1)
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))
(neg.f64 (.f64 v (+.f64 1/2 (.f64 -1/6 (+.f64 1 (/.f64 1 e))))))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 v -1))
(.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) (neg.f64 v))
(.f64 (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6)) (neg.f64 v))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 v)
✓	0.1b	(*.f64 e (neg.f64 (sin.f64 v)))
✓	1.8b	(+.f64 -1 (-.f64 1 (*.f64 e (neg.f64 (sin.f64 v)))))

Compiler

Compiled 32 to 13 computations (59.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`rational.json-simplify-35`
1168×	`exponential.json-3`
1168×	`rational.json-1`
1168×	`rational.json-2`
1168×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	93	42
2	210	36
3	459	34
4	979	34
5	2425	34
6	5375	34

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(+.f64 -1 (-.f64 1 (*.f64 e (neg.f64 (sin.f64 v)))))
(*.f64 e (neg.f64 (sin.f64 v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 e (neg.f64 (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 e (neg.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 e (neg.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (neg.f64 (sin.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (neg.f64 (*.f64 (sin.f64 v) (/.f64 e -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (sin.f64 v) (/.f64 e -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e (neg.f64 (sin.f64 v))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 (sin.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (*.f64 e -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (*.f64 e -4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8 (*.f64 e (sin.f64 v))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 -8 (*.f64 e (sin.f64 v)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 e (sin.f64 v))))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 v) (*.f64 e -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 v) (*.f64 e -4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -8 (*.f64 e (sin.f64 v)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 -8 (*.f64 e (sin.f64 v))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 v) (*.f64 e -2))) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 v) (*.f64 e -4))) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e -4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 -8 (*.f64 e (sin.f64 v)))) (neg.f64 (*.f64 -8 (*.f64 e (sin.f64 v))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 -8 (*.f64 e (sin.f64 v))))) (neg.f64 (*.f64 2 (*.f64 -8 (*.f64 e (sin.f64 v)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 e (neg.f64 (sin.f64 v))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 e (neg.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 e (sin.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) (/.f64 e -2)) (*.f64 (sin.f64 v) (/.f64 e -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 e (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (*.f64 e -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (*.f64 e -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (sin.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8 (*.f64 e (sin.f64 v))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (*.f64 (sin.f64 v) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 -8 (*.f64 e (sin.f64 v)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 e (sin.f64 v))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 e (sin.f64 v))))) (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 e (sin.f64 v)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (neg.f64 (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 e (sin.f64 v)))))))

simplify114.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational.json-simplify-35`
994×	`exponential.json-simplify-26`
992×	`rational.json-simplify-49`
978×	`rational.json-simplify-43`
960×	`rational.json-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1658
1	373	1650
2	942	1632
3	3577	1632
4	5410	1632
5	7500	1632

Stop Event

1×	node limit

Counts

110 → 98

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 v e))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) e)) (.f64 -1 (.f64 v e)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 -1 (.f64 v e)) (.f64 -1/120 (.f64 (pow.f64 v 5) e))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 -1 (.f64 v e)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 v 5) e)) (.f64 1/5040 (.f64 (pow.f64 v 7) e)))))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) e))
(-.f64 -1 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))))
(-.f64 1 (-.f64 1 (*.f64 e (sin.f64 v))))
(-.f64 (-.f64 1 (*.f64 e (neg.f64 (sin.f64 v)))) 1)
(-.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 0)
(-.f64 0 (*.f64 e (neg.f64 (sin.f64 v))))
(.f64 -1 (.f64 e (neg.f64 (sin.f64 v))))
(.f64 1 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))))
(.f64 (.f64 e (neg.f64 (sin.f64 v))) -1)
(.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 1)
(.f64 2 (neg.f64 (.f64 (sin.f64 v) (/.f64 e -2))))
(.f64 (.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 2) 1/2)
(.f64 4 (/.f64 (.f64 e (neg.f64 (sin.f64 v))) -4))
(.f64 (.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 4) 1/4)
(.f64 1/2 (.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 2))
(.f64 1/4 (.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 4))
(.f64 (neg.f64 (.f64 (sin.f64 v) (/.f64 e -2))) 2)
(.f64 (/.f64 (.f64 e (neg.f64 (sin.f64 v))) -4) 4)
(/.f64 (*.f64 e (neg.f64 (sin.f64 v))) -1)
(/.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 1)
(/.f64 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 2) 2)
(/.f64 (.f64 (sin.f64 v) (.f64 e -2)) -2)
(/.f64 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 4) 4)
(/.f64 (.f64 (sin.f64 v) (.f64 e -4)) -4)
(/.f64 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 8) 8)
(/.f64 (.f64 -8 (.f64 e (sin.f64 v))) -8)
(/.f64 (.f64 2 (.f64 -8 (*.f64 e (sin.f64 v)))) -16)
(/.f64 (.f64 2 (.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v))))) -32)
(/.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 8))) 32)
(/.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 e -2))) 2)
(/.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 e -4))) 4)
(/.f64 (neg.f64 (.f64 -8 (.f64 e (sin.f64 v)))) 8)
(/.f64 (neg.f64 (.f64 2 (.f64 -8 (*.f64 e (sin.f64 v))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 8))) (.f64 2 (.f64 2 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 e -2))) (neg.f64 (.f64 (sin.f64 v) (.f64 e -2)))) 4)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 e -4))) (neg.f64 (.f64 (sin.f64 v) (.f64 e -4)))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 -8 (.f64 e (sin.f64 v)))) (neg.f64 (.f64 -8 (.f64 e (sin.f64 v))))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v))))) (neg.f64 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v)))))) 32)
(pow.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 1)
(neg.f64 (*.f64 e (neg.f64 (sin.f64 v))))
(+.f64 -1 (-.f64 1 (*.f64 e (sin.f64 v))))
(+.f64 1 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))))
(+.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(+.f64 0 (*.f64 e (neg.f64 (sin.f64 v))))
(+.f64 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))) 1)
(+.f64 (-.f64 1 (*.f64 e (sin.f64 v))) -1)
(+.f64 (.f64 (sin.f64 v) (/.f64 e -2)) (.f64 (sin.f64 v) (/.f64 e -2)))
(-.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(-.f64 0 (*.f64 e (sin.f64 v)))
(-.f64 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))) -1)
(-.f64 (-.f64 1 (*.f64 e (sin.f64 v))) 1)
(/.f64 (*.f64 e (neg.f64 (sin.f64 v))) 1)
(/.f64 (.f64 (sin.f64 v) (.f64 e -2)) 2)
(/.f64 (.f64 (sin.f64 v) (.f64 e -4)) 4)
(/.f64 (*.f64 e (sin.f64 v)) -1)
(/.f64 (.f64 -8 (.f64 e (sin.f64 v))) 8)
(/.f64 (.f64 e (.f64 (sin.f64 v) 2)) -2)
(/.f64 (.f64 2 (.f64 -8 (*.f64 e (sin.f64 v)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v))))) (.f64 2 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v)))))) 64)
(pow.f64 (*.f64 e (neg.f64 (sin.f64 v))) 1)
(neg.f64 (*.f64 e (sin.f64 v)))

Outputs
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (.f64 v e) (.f64 -1/6 (*.f64 e (pow.f64 v 3))))
(+.f64 (.f64 v e) (.f64 e (*.f64 (pow.f64 v 3) -1/6)))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (.f64 1/120 (.f64 e (pow.f64 v 5))) (+.f64 (.f64 v e) (.f64 -1/6 (*.f64 e (pow.f64 v 3)))))
(+.f64 (.f64 v e) (+.f64 (.f64 e (.f64 (pow.f64 v 3) -1/6)) (.f64 e (*.f64 (pow.f64 v 5) 1/120))))
(+.f64 (.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3)))) (.f64 e (.f64 1/120 (pow.f64 v 5))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(+.f64 (.f64 -1/6 (.f64 e (pow.f64 v 3))) (+.f64 (.f64 v e) (+.f64 (.f64 -1/5040 (.f64 e (pow.f64 v 7))) (.f64 1/120 (*.f64 e (pow.f64 v 5))))))
(+.f64 (.f64 v e) (+.f64 (+.f64 (.f64 e (.f64 (pow.f64 v 5) 1/120)) (.f64 e (.f64 (pow.f64 v 7) -1/5040))) (.f64 e (*.f64 (pow.f64 v 3) -1/6))))
(+.f64 (.f64 (pow.f64 v 7) (.f64 e -1/5040)) (+.f64 (.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3)))) (.f64 e (.f64 1/120 (pow.f64 v 5)))))
(+.f64 (.f64 e (.f64 -1/6 (pow.f64 v 3))) (+.f64 (.f64 e (.f64 1/120 (pow.f64 v 5))) (.f64 e (+.f64 v (.f64 -1/5040 (pow.f64 v 7))))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 v e))
(.f64 v (.f64 e -1))
(*.f64 v (neg.f64 e))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) e)) (.f64 -1 (.f64 v e)))
(+.f64 (.f64 v (.f64 e -1)) (.f64 (pow.f64 v 3) (.f64 e 1/6)))
(+.f64 (.f64 v (neg.f64 e)) (.f64 e (*.f64 1/6 (pow.f64 v 3))))
(+.f64 (.f64 v (neg.f64 e)) (.f64 e (*.f64 (pow.f64 v 3) 1/6)))
(+.f64 (.f64 v (neg.f64 e)) (.f64 (pow.f64 v 3) (*.f64 e 1/6)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 -1 (.f64 v e)) (.f64 -1/120 (.f64 (pow.f64 v 5) e))))
(+.f64 (.f64 v (.f64 e -1)) (+.f64 (.f64 (pow.f64 v 5) (.f64 e -1/120)) (.f64 (pow.f64 v 3) (.f64 e 1/6))))
(+.f64 (.f64 e (.f64 1/6 (pow.f64 v 3))) (+.f64 (.f64 v (neg.f64 e)) (.f64 e (*.f64 -1/120 (pow.f64 v 5)))))
(+.f64 (.f64 v (neg.f64 e)) (+.f64 (.f64 e (.f64 (pow.f64 v 3) 1/6)) (.f64 e (*.f64 (pow.f64 v 5) -1/120))))
(+.f64 (.f64 v (neg.f64 e)) (+.f64 (.f64 (pow.f64 v 3) (.f64 e 1/6)) (.f64 (pow.f64 v 5) (*.f64 e -1/120))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 -1 (.f64 v e)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 v 5) e)) (.f64 1/5040 (.f64 (pow.f64 v 7) e)))))
(+.f64 (.f64 v (.f64 e -1)) (+.f64 (+.f64 (.f64 (pow.f64 v 5) (.f64 e -1/120)) (.f64 (pow.f64 v 7) (.f64 e 1/5040))) (.f64 (pow.f64 v 3) (.f64 e 1/6))))
(+.f64 (.f64 v (neg.f64 e)) (+.f64 (.f64 e (.f64 1/6 (pow.f64 v 3))) (+.f64 (.f64 e (.f64 -1/120 (pow.f64 v 5))) (.f64 e (*.f64 1/5040 (pow.f64 v 7))))))
(+.f64 (.f64 e (.f64 (pow.f64 v 3) 1/6)) (+.f64 (+.f64 (.f64 v (neg.f64 e)) (.f64 e (.f64 (pow.f64 v 5) -1/120))) (.f64 e (*.f64 (pow.f64 v 7) 1/5040))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 e 1/6)) (+.f64 (.f64 v (neg.f64 e)) (+.f64 (.f64 (pow.f64 v 5) (.f64 e -1/120)) (.f64 e (*.f64 (pow.f64 v 7) 1/5040)))))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(.f64 -1 (.f64 (sin.f64 v) e))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(-.f64 -1 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))))
(*.f64 (sin.f64 v) e)
(-.f64 1 (-.f64 1 (*.f64 e (sin.f64 v))))
(*.f64 (sin.f64 v) e)
(-.f64 (-.f64 1 (*.f64 e (neg.f64 (sin.f64 v)))) 1)
(*.f64 (sin.f64 v) e)
(-.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 0)
(*.f64 (sin.f64 v) e)
(-.f64 0 (*.f64 e (neg.f64 (sin.f64 v))))
(*.f64 (sin.f64 v) e)
(.f64 -1 (.f64 e (neg.f64 (sin.f64 v))))
(*.f64 (sin.f64 v) e)
(.f64 1 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))))
(*.f64 (sin.f64 v) e)
(.f64 (.f64 e (neg.f64 (sin.f64 v))) -1)
(*.f64 (sin.f64 v) e)
(.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 1)
(*.f64 (sin.f64 v) e)
(.f64 2 (neg.f64 (.f64 (sin.f64 v) (/.f64 e -2))))
(*.f64 (sin.f64 v) e)
(.f64 (.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 2) 1/2)
(*.f64 (sin.f64 v) e)
(.f64 4 (/.f64 (.f64 e (neg.f64 (sin.f64 v))) -4))
(*.f64 (sin.f64 v) e)
(.f64 (.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 4) 1/4)
(*.f64 (sin.f64 v) e)
(.f64 1/2 (.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 2))
(*.f64 (sin.f64 v) e)
(.f64 1/4 (.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 4))
(*.f64 (sin.f64 v) e)
(.f64 (neg.f64 (.f64 (sin.f64 v) (/.f64 e -2))) 2)
(*.f64 (sin.f64 v) e)
(.f64 (/.f64 (.f64 e (neg.f64 (sin.f64 v))) -4) 4)
(*.f64 (sin.f64 v) e)
(/.f64 (*.f64 e (neg.f64 (sin.f64 v))) -1)
(*.f64 (sin.f64 v) e)
(/.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 1)
(*.f64 (sin.f64 v) e)
(/.f64 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 2) 2)
(*.f64 (sin.f64 v) e)
(/.f64 (.f64 (sin.f64 v) (.f64 e -2)) -2)
(*.f64 (sin.f64 v) e)
(/.f64 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 4) 4)
(*.f64 (sin.f64 v) e)
(/.f64 (.f64 (sin.f64 v) (.f64 e -4)) -4)
(*.f64 (sin.f64 v) e)
(/.f64 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 8) 8)
(*.f64 (sin.f64 v) e)
(/.f64 (.f64 -8 (.f64 e (sin.f64 v))) -8)
(*.f64 (sin.f64 v) e)
(/.f64 (.f64 2 (.f64 -8 (*.f64 e (sin.f64 v)))) -16)
(*.f64 (sin.f64 v) e)
(/.f64 (.f64 2 (.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 8)) 16)
(*.f64 (sin.f64 v) e)
(/.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v))))) -32)
(*.f64 (sin.f64 v) e)
(/.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 8))) 32)
(*.f64 (sin.f64 v) e)
(/.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 e -2))) 2)
(*.f64 (sin.f64 v) e)
(/.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 e -4))) 4)
(*.f64 (sin.f64 v) e)
(/.f64 (neg.f64 (.f64 -8 (.f64 e (sin.f64 v)))) 8)
(*.f64 (sin.f64 v) e)
(/.f64 (neg.f64 (.f64 2 (.f64 -8 (*.f64 e (sin.f64 v))))) 16)
(*.f64 (sin.f64 v) e)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 8))) (.f64 2 (.f64 2 (.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) 8)))) 64)
(*.f64 (sin.f64 v) e)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 e -2))) (neg.f64 (.f64 (sin.f64 v) (.f64 e -2)))) 4)
(*.f64 (sin.f64 v) e)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 v) (.f64 e -4))) (neg.f64 (.f64 (sin.f64 v) (.f64 e -4)))) 8)
(*.f64 (sin.f64 v) e)
(/.f64 (+.f64 (neg.f64 (.f64 -8 (.f64 e (sin.f64 v)))) (neg.f64 (.f64 -8 (.f64 e (sin.f64 v))))) 16)
(*.f64 (sin.f64 v) e)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v))))) (neg.f64 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v)))))) 32)
(*.f64 (sin.f64 v) e)
(pow.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) 1)
(*.f64 (sin.f64 v) e)
(neg.f64 (*.f64 e (neg.f64 (sin.f64 v))))
(*.f64 (sin.f64 v) e)
(+.f64 -1 (-.f64 1 (*.f64 e (sin.f64 v))))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(+.f64 1 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(+.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(+.f64 0 (*.f64 e (neg.f64 (sin.f64 v))))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(+.f64 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))) 1)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(+.f64 (-.f64 1 (*.f64 e (sin.f64 v))) -1)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(+.f64 (.f64 (sin.f64 v) (/.f64 e -2)) (.f64 (sin.f64 v) (/.f64 e -2)))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(-.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(-.f64 0 (*.f64 e (sin.f64 v)))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(-.f64 (+.f64 -1 (*.f64 e (neg.f64 (sin.f64 v)))) -1)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(-.f64 (-.f64 1 (*.f64 e (sin.f64 v))) 1)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(/.f64 (*.f64 e (neg.f64 (sin.f64 v))) 1)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(/.f64 (.f64 (sin.f64 v) (.f64 e -2)) 2)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(/.f64 (.f64 (sin.f64 v) (.f64 e -4)) 4)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(/.f64 (*.f64 e (sin.f64 v)) -1)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(/.f64 (.f64 -8 (.f64 e (sin.f64 v))) 8)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(/.f64 (.f64 e (.f64 (sin.f64 v) 2)) -2)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(/.f64 (.f64 2 (.f64 -8 (*.f64 e (sin.f64 v)))) 16)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(/.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v))))) 32)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v))))) (.f64 2 (.f64 2 (.f64 -8 (.f64 e (sin.f64 v)))))) 64)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(pow.f64 (*.f64 e (neg.f64 (sin.f64 v))) 1)
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))
(neg.f64 (*.f64 e (sin.f64 v)))
(neg.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (neg.f64 e))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 v)
✓	0.1b	(*.f64 (/.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (sin.f64 v))
	0.2b	(/.f64 (sin.f64 v) e)
✓	0.2b	(/.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))

Compiler

Compiled 27 to 6 computations (77.8% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`rational.json-1`
1532×	`rational.json-2`
1532×	`rational.json-3`
1528×	`rational.json-4`
1512×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	52
1	68	12
2	208	12
3	680	12
4	2150	12
5	5572	12

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(/.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(*.f64 (/.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (sin.f64 v))

Outputs

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

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

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1356×	`rational.json-simplify-44`
1336×	`rational.json-simplify-49`
1240×	`rational.json-simplify-47`
1214×	`rational.json-simplify-43`
1138×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	1005
1	493	993
2	1444	975
3	7051	975

Stop Event

1×	node limit

Counts

131 → 104

Calls

Call 1

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

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

eval374.0ms (4.2%)

Compiler: Compiled 20110 to 13793 computations (31.4% saved)

prune193.0ms (2.2%)

Pruning

36 alts after pruning (28 fresh and 8 done)

	Pruned	Kept	Total
New	787	16	803
Fresh	6	12	18
Picked	0	1	1
Done	1	7	8
Total	794	36	830

Error

Counts

830 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	60.9b	(/.f64 (/.f64 -1 v) (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))))
	13.2b	(/.f64 (+.f64 -1 (-.f64 (sin.f64 v) -1)) (+.f64 (/.f64 1 e) (cos.f64 v)))
	25.6b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (sin.f64 v)) (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (sin.f64 v))) (/.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (.f64 (.f64 e (/.f64 (sin.f64 v) (.f64 (+.f64 (.f64 (cos.f64 v) e) 1) (+.f64 (*.f64 (cos.f64 v) e) 1)))) (/.f64 (sin.f64 v) (/.f64 1 (sin.f64 v))))))
	1.7b	(/.f64 (sin.f64 v) (/.f64 1 e))
✓	0.2b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
	1.8b	(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (neg.f64 (sin.f64 v))))
	31.9b	(/.f64 v (+.f64 (/.f64 1 e) 1))
	13.9b	(/.f64 e (/.f64 1 (+.f64 -1 (-.f64 (sin.f64 v) -1))))
✓	1.8b	(/.f64 e (/.f64 1 (sin.f64 v)))
✓	32.8b	(/.f64 e (/.f64 1 v))
	32.2b	(/.f64 e (+.f64 (/.f64 1 v) (*.f64 v 1/6)))
	1.8b	(/.f64 e (+.f64 -1 (-.f64 1 (/.f64 -1 (sin.f64 v)))))
	4.9b	(/.f64 e (.f64 (/.f64 1 (.f64 (sin.f64 v) (sin.f64 v))) (sin.f64 v)))
	1.9b	(/.f64 2 (/.f64 (/.f64 2 e) (sin.f64 v)))
	1.9b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 v)) e))
	1.8b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
	31.4b	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (/.f64 -1/6 e)))))))
	31.7b	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 -1/6))))))
	31.4b	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 1/6 (/.f64 v e)))))
	60.3b	(/.f64 1 (+.f64 (/.f64 1 v) (*.f64 v -1/3)))
	60.9b	(/.f64 -1 (.f64 v (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6))))
	44.7b	(+.f64 -1 (-.f64 1 (*.f64 v (neg.f64 e))))
✓	44.1b	(+.f64 -1 (-.f64 1 (*.f64 e (neg.f64 (sin.f64 v)))))
✓	1.7b	(*.f64 (/.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (sin.f64 v))
	32.3b	(*.f64 (/.f64 v (/.f64 v e)) v)
	7.6b	(.f64 (/.f64 2 (sin.f64 v)) (/.f64 (/.f64 e (/.f64 -1 (-.f64 -1 (.f64 e (cos.f64 v))))) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (/.f64 2 (sin.f64 v))))))
	32.8b	(*.f64 (/.f64 1 (/.f64 -1 v)) (neg.f64 e))
	7.7b	(.f64 (/.f64 -1 (sin.f64 v)) (.f64 -1 (*.f64 (sin.f64 v) (/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v))))))
	43.3b	(*.f64 (+.f64 (-.f64 1 (neg.f64 e)) -1) (sin.f64 v))
	1.7b	(.f64 (.f64 (/.f64 e (sin.f64 v)) (sin.f64 v)) (sin.f64 v))
	1.7b	(*.f64 (sin.f64 v) e)
✓	0.1b	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
✓	31.9b	(*.f64 e (/.f64 v (+.f64 e 1)))
	32.2b	(.f64 e (+.f64 v (.f64 v (neg.f64 e))))
	7.0b	(.f64 e (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v)) (.f64 (.f64 (sin.f64 v) (/.f64 (sin.f64 v) (.f64 (+.f64 1 (.f64 e (cos.f64 v))) (+.f64 1 (.f64 e (cos.f64 v)))))) (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))))
✓	32.8b	(*.f64 e v)

Compiler

Compiled 539 to 360 computations (33.2% saved)

regimes92.0ms (1%)

Counts

63 → 1

Calls

Call 1

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

Outputs
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))

Calls

3 calls:

28.0ms	v
25.0ms	e
21.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Results

Error	Segments	Branch
0.1b	1	`e`
0.1b	1	`v`
0.1b	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))`

Compiler

Compiled 957 to 489 computations (48.9% saved)

regimes65.0ms (0.7%)

Counts

35 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(/.f64 e (/.f64 1 v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 v (/.f64 v e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 (*.f64 v e) (+.f64 e 1))
(.f64 e (+.f64 v (.f64 v (neg.f64 e))))
(*.f64 (/.f64 1 (/.f64 -1 v)) (neg.f64 e))
(+.f64 -1 (-.f64 1 (*.f64 v (neg.f64 e))))
(/.f64 1 (+.f64 (/.f64 1 v) (*.f64 v -1/3)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(/.f64 e (+.f64 (/.f64 1 v) (*.f64 v 1/6)))
(.f64 e (/.f64 (.f64 v v) (*.f64 v (+.f64 1 e))))
(.f64 e (.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1))))
(/.f64 -1 (.f64 v (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6))))
(/.f64 (/.f64 -1 v) (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 1/6 (/.f64 v e)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 -1/6))))))
(.f64 e (.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 v (-.f64 e -1)) (/.f64 (-.f64 e -1) v))))
(.f64 e (neg.f64 (/.f64 (/.f64 (-.f64 -1 e) v) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (/.f64 -1/6 e)))))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 v)) e))
(/.f64 2 (/.f64 (/.f64 2 e) (sin.f64 v)))
(*.f64 (+.f64 (-.f64 1 (neg.f64 e)) -1) (sin.f64 v))
(+.f64 -1 (-.f64 1 (*.f64 e (neg.f64 (sin.f64 v)))))
(/.f64 e (+.f64 -1 (-.f64 1 (/.f64 -1 (sin.f64 v)))))
(/.f64 e (/.f64 1 (+.f64 -1 (-.f64 (sin.f64 v) -1))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))

Outputs
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))

Calls

2 calls:

16.0ms	v
15.0ms	e

Results

Error	Segments	Branch
0.2b	1	`e`
0.2b	1	`v`

Compiler

Compiled 378 to 243 computations (35.7% saved)

regimes39.0ms (0.4%)

Counts

34 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(/.f64 e (/.f64 1 v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 v (/.f64 v e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 (*.f64 v e) (+.f64 e 1))
(.f64 e (+.f64 v (.f64 v (neg.f64 e))))
(*.f64 (/.f64 1 (/.f64 -1 v)) (neg.f64 e))
(+.f64 -1 (-.f64 1 (*.f64 v (neg.f64 e))))
(/.f64 1 (+.f64 (/.f64 1 v) (*.f64 v -1/3)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(/.f64 e (+.f64 (/.f64 1 v) (*.f64 v 1/6)))
(.f64 e (/.f64 (.f64 v v) (*.f64 v (+.f64 1 e))))
(.f64 e (.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1))))
(/.f64 -1 (.f64 v (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6))))
(/.f64 (/.f64 -1 v) (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 1/6 (/.f64 v e)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 -1/6))))))
(.f64 e (.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 v (-.f64 e -1)) (/.f64 (-.f64 e -1) v))))
(.f64 e (neg.f64 (/.f64 (/.f64 (-.f64 -1 e) v) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (/.f64 -1/6 e)))))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 v)) e))
(/.f64 2 (/.f64 (/.f64 2 e) (sin.f64 v)))
(*.f64 (+.f64 (-.f64 1 (neg.f64 e)) -1) (sin.f64 v))
(+.f64 -1 (-.f64 1 (*.f64 e (neg.f64 (sin.f64 v)))))
(/.f64 e (+.f64 -1 (-.f64 1 (/.f64 -1 (sin.f64 v)))))
(/.f64 e (/.f64 1 (+.f64 -1 (-.f64 (sin.f64 v) -1))))

Outputs
(*.f64 (sin.f64 v) e)

Calls

2 calls:

15.0ms	v
15.0ms	e

Results

Error	Segments	Branch
1.7b	1	`e`
1.7b	1	`v`

Compiler

Compiled 369 to 238 computations (35.5% saved)

regimes30.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(/.f64 e (/.f64 1 v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 v (/.f64 v e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 (*.f64 v e) (+.f64 e 1))
(.f64 e (+.f64 v (.f64 v (neg.f64 e))))
(*.f64 (/.f64 1 (/.f64 -1 v)) (neg.f64 e))
(+.f64 -1 (-.f64 1 (*.f64 v (neg.f64 e))))
(/.f64 1 (+.f64 (/.f64 1 v) (*.f64 v -1/3)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(/.f64 e (+.f64 (/.f64 1 v) (*.f64 v 1/6)))
(.f64 e (/.f64 (.f64 v v) (*.f64 v (+.f64 1 e))))
(.f64 e (.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1))))
(/.f64 -1 (.f64 v (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6))))
(/.f64 (/.f64 -1 v) (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 1/6 (/.f64 v e)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 -1/6))))))
(.f64 e (.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 v (-.f64 e -1)) (/.f64 (-.f64 e -1) v))))
(.f64 e (neg.f64 (/.f64 (/.f64 (-.f64 -1 e) v) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (/.f64 -1/6 e)))))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))

Outputs
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))

Calls

2 calls:

12.0ms	v
12.0ms	e

Results

Error	Segments	Branch
31.3b	1	`e`
31.3b	1	`v`

Compiler

Compiled 291 to 191 computations (34.4% saved)

regimes27.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(/.f64 e (/.f64 1 v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 v (/.f64 v e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 (*.f64 v e) (+.f64 e 1))
(.f64 e (+.f64 v (.f64 v (neg.f64 e))))
(*.f64 (/.f64 1 (/.f64 -1 v)) (neg.f64 e))
(+.f64 -1 (-.f64 1 (*.f64 v (neg.f64 e))))
(/.f64 1 (+.f64 (/.f64 1 v) (*.f64 v -1/3)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(/.f64 e (+.f64 (/.f64 1 v) (*.f64 v 1/6)))
(.f64 e (/.f64 (.f64 v v) (*.f64 v (+.f64 1 e))))
(.f64 e (.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1))))
(/.f64 -1 (.f64 v (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6))))
(/.f64 (/.f64 -1 v) (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 1/6 (/.f64 v e)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 -1/6))))))
(.f64 e (.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 v (-.f64 e -1)) (/.f64 (-.f64 e -1) v))))
(.f64 e (neg.f64 (/.f64 (/.f64 (-.f64 -1 e) v) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (/.f64 -1/6 e)))))))

Outputs
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (/.f64 -1/6 e)))))))

Calls

2 calls:

11.0ms	v
10.0ms	e

Results

Error	Segments	Branch
31.4b	1	`e`
31.4b	1	`v`

Compiler

Compiled 246 to 160 computations (35% saved)

regimes27.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(/.f64 e (/.f64 1 v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 v (/.f64 v e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 (*.f64 v e) (+.f64 e 1))
(.f64 e (+.f64 v (.f64 v (neg.f64 e))))
(*.f64 (/.f64 1 (/.f64 -1 v)) (neg.f64 e))
(+.f64 -1 (-.f64 1 (*.f64 v (neg.f64 e))))
(/.f64 1 (+.f64 (/.f64 1 v) (*.f64 v -1/3)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(/.f64 e (+.f64 (/.f64 1 v) (*.f64 v 1/6)))
(.f64 e (/.f64 (.f64 v v) (*.f64 v (+.f64 1 e))))
(.f64 e (.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1))))
(/.f64 -1 (.f64 v (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6))))
(/.f64 (/.f64 -1 v) (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 1/6 (/.f64 v e)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 -1/6))))))
(.f64 e (.f64 (/.f64 (-.f64 e -1) v) (/.f64 (/.f64 v (-.f64 e -1)) (/.f64 (-.f64 e -1) v))))
(.f64 e (neg.f64 (/.f64 (/.f64 (-.f64 -1 e) v) (.f64 (+.f64 e 1) (/.f64 (/.f64 (+.f64 e 1) v) v)))))

Outputs
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 1/6 (/.f64 v e)))))

Calls

2 calls:

11.0ms	e
9.0ms	v

Results

Error	Segments	Branch
31.4b	1	`e`
31.4b	1	`v`

Compiler

Compiled 226 to 146 computations (35.4% saved)

regimes21.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(/.f64 e (/.f64 1 v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 v (/.f64 v e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 (*.f64 v e) (+.f64 e 1))
(.f64 e (+.f64 v (.f64 v (neg.f64 e))))
(*.f64 (/.f64 1 (/.f64 -1 v)) (neg.f64 e))
(+.f64 -1 (-.f64 1 (*.f64 v (neg.f64 e))))
(/.f64 1 (+.f64 (/.f64 1 v) (*.f64 v -1/3)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(/.f64 e (+.f64 (/.f64 1 v) (*.f64 v 1/6)))
(.f64 e (/.f64 (.f64 v v) (*.f64 v (+.f64 1 e))))
(.f64 e (.f64 (/.f64 1 (/.f64 1 v)) (/.f64 1 (+.f64 e 1))))
(/.f64 -1 (.f64 v (+.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) -1/6))))
(/.f64 (/.f64 -1 v) (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))))

Outputs
(*.f64 e (/.f64 v (+.f64 e 1)))

Calls

2 calls:

9.0ms	v
8.0ms	e

Results

Error	Segments	Branch
31.9b	1	`e`
31.9b	1	`v`

Compiler

Compiled 152 to 98 computations (35.5% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(/.f64 e (/.f64 1 v))

Outputs
(*.f64 e v)

Calls

2 calls:

4.0ms	e
3.0ms	v

Results

Error	Segments	Branch
32.8b	1	`e`
32.8b	1	`v`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	266

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(*.f64 (sin.f64 v) e)
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (/.f64 -1/6 e)))))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 1/6 (/.f64 v e)))))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 e v)

Outputs
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 e (cos.f64 v)))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(*.f64 (sin.f64 v) e)
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 v (neg.f64 (+.f64 1/2 (/.f64 -1/6 e)))))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 1/6 (/.f64 v e)))))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 e v)

Compiler

Compiled 108 to 77 computations (28.7% saved)

soundness121.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1342×	`rational.json-simplify-2`
1248×	`rational.json-simplify-35`
880×	`rational.json-simplify-1`
832×	`rational.json-simplify-26`
764×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	28	33
2	56	33
3	119	33
4	285	33
5	755	33
6	1594	33
7	3116	33
8	5413	33
9	7271	33

Stop Event

1×	node limit

Compiler

Compiled 35 to 17 computations (51.4% saved)

end54.0ms (0.6%)

Compiler: Compiled 94 to 59 computations (37.2% saved)