Details

analyze464.0ms (2.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample12.9s (73.4%)

Results

9.0s	2005×	body	2048	valid
2.4s	3104×	body	1024	valid
871.0ms	1594×	body	512	valid
383.0ms	1453×	body	256	valid
186.0ms	100×	body	4096	valid

Bogosity

preprocess116.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1216×	`rational.json-simplify-26`
1132×	`rational.json-simplify-35`
1018×	`rational.json-simplify-2`
1012×	`rational.json-simplify-1`
954×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	21	27
2	39	27
3	76	27
4	161	27
5	374	27
6	1198	27
7	3639	27
8	6188	27
9	7621	27
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1216×	`rational.json-simplify-26`
1132×	`rational.json-simplify-35`
1018×	`rational.json-simplify-2`
1012×	`rational.json-simplify-1`
954×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	21	27
2	39	27
3	76	27
4	161	27
5	374	27
6	1198	27
7	3639	27
8	6188	27
9	7621	27

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.6b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(tan.f64 x)
✓	0.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	1.0b	(-.f64 x (tan.f64 x))
✓	1.0b	(-.f64 x (sin.f64 x))

Compiler

Compiled 23 to 6 computations (73.9% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`rational.json-1`
1810×	`rational.json-2`
1810×	`rational.json-4`
1810×	`rational.json-3`
1802×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	54
1	68	54
2	203	54
3	506	54
4	1264	54
5	5025	54

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

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

simplify136.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1478×	`rational.json-simplify-39`
1052×	`rational.json-simplify-1`
884×	`rational.json-simplify-53`
800×	`rational.json-simplify-51`
746×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	5438
1	937	5356
2	3675	5198
3	6847	5198

Stop Event

1×	node limit

Counts

222 → 287

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/120 (pow.f64 x 5)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5)))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5))))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -62/2835 (pow.f64 x 9)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 x (sin.f64 x)) 0)
(+.f64 0 (-.f64 x (sin.f64 x)))
(+.f64 (PI.f64) (+.f64 (-.f64 x (PI.f64)) (neg.f64 (sin.f64 x))))
(+.f64 (PI.f64) (-.f64 (-.f64 x (PI.f64)) (sin.f64 x)))
(+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (sin.f64 x)))
(+.f64 -1 (-.f64 x (-.f64 (sin.f64 x) 1)))
(+.f64 (-.f64 x (PI.f64)) (+.f64 (PI.f64) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 x (PI.f64)) (-.f64 (PI.f64) (sin.f64 x)))
(+.f64 (neg.f64 (PI.f64)) (+.f64 (+.f64 x (PI.f64)) (neg.f64 (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 (-.f64 x (-.f64 (sin.f64 x) 1)) -1)
(+.f64 (-.f64 -1 (sin.f64 x)) (-.f64 1 (neg.f64 x)))
(*.f64 (-.f64 x (sin.f64 x)) 1)
(*.f64 1 (-.f64 x (sin.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 2) 1/2)
(*.f64 (-.f64 (sin.f64 x) x) -1)
(*.f64 -1 (-.f64 (sin.f64 x) x))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) 1/2))
(.f64 2 (.f64 (*.f64 (-.f64 x (sin.f64 x)) -1/2) -1))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) 1/4)
(*.f64 4 (/.f64 (-.f64 x (sin.f64 x)) 4))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 8) 1/8)
(.f64 -2 (.f64 (-.f64 x (sin.f64 x)) -1/2))
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) 2))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) -1/2)
(.f64 -1/2 (.f64 (-.f64 x (sin.f64 x)) -2))
(.f64 1/4 (.f64 (-.f64 x (sin.f64 x)) 4))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -1/2) -2)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) 2)
(/.f64 (-.f64 x (sin.f64 x)) 1)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) 2)
(/.f64 (-.f64 (sin.f64 x) x) -1)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 4) 4)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) 8)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) -4)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 x (sin.f64 x)) 8)) 16)
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) -4) -1) 4)
(pow.f64 (-.f64 x (sin.f64 x)) 1)
(neg.f64 (-.f64 (sin.f64 x) x))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 x (tan.f64 x)) 0)
(+.f64 0 (-.f64 x (tan.f64 x)))
(+.f64 (PI.f64) (+.f64 (-.f64 x (PI.f64)) (neg.f64 (tan.f64 x))))
(+.f64 (PI.f64) (-.f64 (-.f64 x (PI.f64)) (tan.f64 x)))
(+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (tan.f64 x)))
(+.f64 -1 (-.f64 (-.f64 x (tan.f64 x)) -1))
(+.f64 (-.f64 x (PI.f64)) (+.f64 (PI.f64) (neg.f64 (tan.f64 x))))
(+.f64 (-.f64 x (PI.f64)) (-.f64 (PI.f64) (tan.f64 x)))
(+.f64 (neg.f64 (PI.f64)) (+.f64 (+.f64 x (PI.f64)) (neg.f64 (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) x)
(+.f64 (-.f64 (-.f64 x (tan.f64 x)) -1) -1)
(+.f64 (-.f64 -1 (tan.f64 x)) (-.f64 1 (neg.f64 x)))
(*.f64 (-.f64 x (tan.f64 x)) 1)
(*.f64 1 (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (tan.f64 x)) 2) 1/2)
(*.f64 (-.f64 (tan.f64 x) x) -1)
(*.f64 -1 (-.f64 (tan.f64 x) x))
(.f64 2 (.f64 (-.f64 x (tan.f64 x)) 1/2))
(.f64 (.f64 (-.f64 x (tan.f64 x)) 4) 1/4)
(.f64 (.f64 (-.f64 x (tan.f64 x)) -2) -1/2)
(*.f64 4 (/.f64 (-.f64 x (tan.f64 x)) 4))
(.f64 (.f64 (-.f64 x (tan.f64 x)) 8) 1/8)
(.f64 1/2 (.f64 (-.f64 x (tan.f64 x)) 2))
(.f64 (.f64 (-.f64 x (tan.f64 x)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 x (tan.f64 x)) 4))
(/.f64 (-.f64 x (tan.f64 x)) 1)
(/.f64 1 (/.f64 1 (-.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) 2) 2)
(/.f64 (-.f64 (tan.f64 x) x) -1)
(/.f64 -1 (-.f64 0 (/.f64 1 (-.f64 x (tan.f64 x)))))
(/.f64 2 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))))
(/.f64 2 (/.f64 2 (-.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) 4) 4)
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) -2) -2)
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) 8) 8)
(/.f64 (*.f64 (-.f64 x (tan.f64 x)) -4) -4)
(/.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 2)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 x (tan.f64 x)) 8)) 16)
(/.f64 (/.f64 (*.f64 (-.f64 x (tan.f64 x)) -4) -1) 4)
(pow.f64 (-.f64 x (tan.f64 x)) 1)
(neg.f64 (-.f64 (tan.f64 x) x))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 0)
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))
(+.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))) (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(-.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 0)
(-.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (-.f64 x (tan.f64 x))))
(.f64 (-.f64 x (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1))
(.f64 (-.f64 x (sin.f64 x)) (.f64 -1 (/.f64 1 (-.f64 (tan.f64 x) x))))
(.f64 (-.f64 x (sin.f64 x)) (.f64 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))) 1/2))
(.f64 (-.f64 x (sin.f64 x)) (.f64 (/.f64 2 (-.f64 x (tan.f64 x))) 1/2))
(.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 1)
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (/.f64 1/2 (-.f64 x (tan.f64 x))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (*.f64 -1/2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(.f64 (-.f64 (sin.f64 x) x) (.f64 -1 (/.f64 1 (-.f64 x (tan.f64 x)))))
(.f64 (-.f64 (sin.f64 x) x) (.f64 (*.f64 -1 (/.f64 1 (-.f64 x (tan.f64 x)))) 1))
(.f64 (-.f64 (sin.f64 x) x) (.f64 -2 (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(.f64 (-.f64 (sin.f64 x) x) (.f64 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) 1/2))
(*.f64 -1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(.f64 2 (.f64 (*.f64 (-.f64 x (sin.f64 x)) -1/2) (/.f64 1 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 (-.f64 x (tan.f64 x)))) 1/2)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (/.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 2))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 (/.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 2) 1))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 1/4 (/.f64 1 (-.f64 x (tan.f64 x)))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 1 (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 2 (.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 (-.f64 x (sin.f64 x)) 1/2)) (/.f64 1 (.f64 2 (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 (-.f64 x (sin.f64 x)) 1/2)) (/.f64 1/2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 4 (/.f64 (-.f64 x (sin.f64 x)) (.f64 (-.f64 x (tan.f64 x)) 4)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4))
(.f64 (.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4) 1/4)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 8) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) 8)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) -4)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (.f64 2 (neg.f64 (.f64 (-.f64 x (tan.f64 x)) 2)))))
(.f64 -2 (.f64 (-.f64 (sin.f64 x) x) (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(.f64 -2 (/.f64 (-.f64 x (sin.f64 x)) (.f64 (-.f64 x (tan.f64 x)) -2)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) -1)
(.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (sin.f64 x)) 2))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 (.f64 (-.f64 x (tan.f64 x)) 2) (.f64 2 (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 (-.f64 x (tan.f64 x)))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (*.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) 1))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (*.f64 1/2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 2 (.f64 2 (neg.f64 (.f64 (-.f64 x (tan.f64 x)) 2)))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1 (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 2))))
(.f64 (.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(.f64 -1/2 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 (tan.f64 x) x)))
(.f64 (.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 x (sin.f64 x)) -1/2))
(.f64 (.f64 -1 (/.f64 1 (-.f64 x (tan.f64 x)))) (-.f64 (sin.f64 x) x))
(.f64 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 (tan.f64 x) x)) -1/2)
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 (-.f64 x (sin.f64 x)) 2)) (/.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 1/2 (-.f64 x (sin.f64 x))) (/.f64 (.f64 (-.f64 x (tan.f64 x)) 2) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 2 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (sin.f64 x)) 1/2))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))) 2)
(.f64 1/4 (.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -1/2) (/.f64 2 (-.f64 (tan.f64 x) x)))
(.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(.f64 (/.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 2) (.f64 (-.f64 x (sin.f64 x)) 4))
(.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (.f64 (-.f64 x (sin.f64 x)) -2))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (/.f64 2 (-.f64 x (tan.f64 x))))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 1)
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(+.f64 (tan.f64 x) 0)
(+.f64 0 (tan.f64 x))
(-.f64 (tan.f64 x) 0)
(*.f64 (tan.f64 x) 1)
(*.f64 1 (tan.f64 x))
(.f64 2 (.f64 (tan.f64 x) 1/2))
(.f64 (.f64 (tan.f64 x) 2) 1/2)
(*.f64 4 (/.f64 (tan.f64 x) 4))
(.f64 (.f64 (tan.f64 x) 4) 1/4)
(.f64 1/2 (.f64 (tan.f64 x) 2))
(.f64 (.f64 (tan.f64 x) 1/2) 2)
(/.f64 (tan.f64 x) 1)
(/.f64 (*.f64 (tan.f64 x) 2) 2)
(/.f64 (*.f64 (tan.f64 x) 4) 4)
(/.f64 (.f64 2 (.f64 (tan.f64 x) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (tan.f64 x) 4)) (.f64 2 (.f64 (tan.f64 x) 4))) 16)
(pow.f64 (tan.f64 x) 1)
(neg.f64 (neg.f64 (tan.f64 x)))

Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/120 (pow.f64 x 5)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (.f64 -1/362880 (pow.f64 x 9)))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (.f64 1/5040 (pow.f64 x 7)))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/362880 (pow.f64 x 9))) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/362880 (pow.f64 x 9)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5)))
(+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 (pow.f64 x 5) -2/15))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 x 3) -1/3) (+.f64 (.f64 (pow.f64 x 5) -2/15) (*.f64 (pow.f64 x 7) -17/315)))
(+.f64 (.f64 (pow.f64 x 5) -2/15) (+.f64 (.f64 (pow.f64 x 7) -17/315) (*.f64 (pow.f64 x 3) -1/3)))
(+.f64 (.f64 (pow.f64 x 5) -2/15) (+.f64 (.f64 (pow.f64 x 3) -1/3) (*.f64 (pow.f64 x 7) -17/315)))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -62/2835 (pow.f64 x 9)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 x 7) -17/315) (+.f64 (.f64 (pow.f64 x 3) -1/3) (+.f64 (.f64 (pow.f64 x 5) -2/15) (.f64 (pow.f64 x 9) -62/2835))))
(+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 (pow.f64 x 5) -2/15)) (+.f64 (.f64 (pow.f64 x 7) -17/315) (.f64 (pow.f64 x 9) -62/2835)))
(+.f64 (.f64 (pow.f64 x 5) -2/15) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 (pow.f64 x 7) -17/315)) (.f64 (pow.f64 x 9) -62/2835)))
(+.f64 (.f64 (pow.f64 x 5) -2/15) (+.f64 (.f64 (pow.f64 x 9) -62/2835) (+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 (pow.f64 x 7) -17/315))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (.f64 9/40 (pow.f64 x 2)) 1/2))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (-.f64 (.f64 -27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2))
(+.f64 (-.f64 (.f64 9/40 (pow.f64 x 2)) 1/2) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (*.f64 27/112000 (pow.f64 x 6)) 1/2)))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (-.f64 1 (.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (-.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (.f64 (-.f64 (neg.f64 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2))))) (-.f64 1 (.f64 -1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))))
(+.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (.f64 (sin.f64 x) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))))
(+.f64 1 (+.f64 (.f64 (sin.f64 x) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))))
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(.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 1)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (/.f64 1/2 (-.f64 x (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (*.f64 -1/2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (-.f64 (sin.f64 x) x) (.f64 -1 (/.f64 1 (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (-.f64 (sin.f64 x) x) (.f64 (*.f64 -1 (/.f64 1 (-.f64 x (tan.f64 x)))) 1))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (-.f64 (sin.f64 x) x) (.f64 -2 (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (-.f64 (sin.f64 x) x) (.f64 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) 1/2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 -1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 2 (.f64 (*.f64 (-.f64 x (sin.f64 x)) -1/2) (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 (-.f64 x (tan.f64 x)))) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (/.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 (/.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 2) 1))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 1/4 (/.f64 1 (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 1 (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 2 (.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 (-.f64 x (sin.f64 x)) 1/2)) (/.f64 1 (.f64 2 (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 (-.f64 x (sin.f64 x)) 1/2)) (/.f64 1/2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 4 (/.f64 (-.f64 x (sin.f64 x)) (.f64 (-.f64 x (tan.f64 x)) 4)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4) 1/4)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 8) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) 8)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 8) (/.f64 1 (*.f64 8 (-.f64 x (tan.f64 x)))))
(.f64 (-.f64 x (sin.f64 x)) (.f64 8 (/.f64 -1/8 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) -4)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 -4 (-.f64 x (tan.f64 x)))))
(.f64 (-.f64 x (sin.f64 x)) (.f64 -4 (/.f64 1/4 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (.f64 2 (neg.f64 (.f64 (-.f64 x (tan.f64 x)) 2)))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 -4 (-.f64 x (tan.f64 x)))))
(.f64 (-.f64 x (sin.f64 x)) (.f64 -4 (/.f64 1/4 (-.f64 (tan.f64 x) x))))
(.f64 -2 (.f64 (-.f64 (sin.f64 x) x) (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 -2 (/.f64 (-.f64 x (sin.f64 x)) (.f64 (-.f64 x (tan.f64 x)) -2)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) -1)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (sin.f64 x)) 2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (-.f64 x (sin.f64 x)))
(.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 (.f64 (-.f64 x (tan.f64 x)) 2) (.f64 2 (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (-.f64 x (sin.f64 x)))
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (*.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) 1))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (*.f64 1/2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 2 (.f64 2 (neg.f64 (.f64 (-.f64 x (tan.f64 x)) 2)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1 (neg.f64 (*.f64 (-.f64 x (tan.f64 x)) 2))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 -1/2 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 x (sin.f64 x)) -1/2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 -1 (/.f64 1 (-.f64 x (tan.f64 x)))) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 (tan.f64 x) x)) -1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 (-.f64 x (sin.f64 x)) 2)) (/.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 2 (-.f64 x (sin.f64 x)))) (/.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (.f64 1/2 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (/.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (.f64 2 (-.f64 (sin.f64 x) x))) (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 2 (-.f64 (sin.f64 x) x)))))
(.f64 (/.f64 1/2 (-.f64 x (sin.f64 x))) (/.f64 (.f64 (-.f64 x (tan.f64 x)) 2) (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 -1/2 (-.f64 (sin.f64 x) x)) (.f64 2 (/.f64 (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 2 (.f64 (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))) (/.f64 -1/2 (-.f64 (sin.f64 x) x))))
(.f64 (/.f64 -1/2 (-.f64 (sin.f64 x) x)) (/.f64 (.f64 2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(.f64 (/.f64 -1/2 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 (tan.f64 x) x) (.f64 2 (-.f64 (sin.f64 x) x)))))
(.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 -1 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x))))))
(.f64 (/.f64 2 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (sin.f64 x)) 1/2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))) 2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 1/4 (.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 4))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -1/2) (/.f64 2 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (.f64 2 (*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (-.f64 x (sin.f64 x)))
(.f64 (/.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 2) (.f64 (-.f64 x (sin.f64 x)) 4))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (.f64 (-.f64 x (sin.f64 x)) -2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (/.f64 2 (-.f64 x (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 1)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(+.f64 (tan.f64 x) 0)
(tan.f64 x)
(+.f64 0 (tan.f64 x))
(tan.f64 x)
(-.f64 (tan.f64 x) 0)
(tan.f64 x)
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 1 (tan.f64 x))
(tan.f64 x)
(.f64 2 (.f64 (tan.f64 x) 1/2))
(tan.f64 x)
(.f64 (.f64 (tan.f64 x) 2) 1/2)
(tan.f64 x)
(*.f64 4 (/.f64 (tan.f64 x) 4))
(tan.f64 x)
(.f64 (.f64 (tan.f64 x) 4) 1/4)
(tan.f64 x)
(.f64 1/2 (.f64 (tan.f64 x) 2))
(tan.f64 x)
(.f64 (.f64 (tan.f64 x) 1/2) 2)
(tan.f64 x)
(/.f64 (tan.f64 x) 1)
(tan.f64 x)
(/.f64 (*.f64 (tan.f64 x) 2) 2)
(tan.f64 x)
(/.f64 (*.f64 (tan.f64 x) 4) 4)
(tan.f64 x)
(/.f64 (.f64 2 (.f64 (tan.f64 x) 4)) 8)
(tan.f64 x)
(/.f64 (+.f64 (.f64 2 (.f64 (tan.f64 x) 4)) (.f64 2 (.f64 (tan.f64 x) 4))) 16)
(tan.f64 x)
(pow.f64 (tan.f64 x) 1)
(tan.f64 x)
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 x)

eval60.0ms (0.3%)

Compiler: Compiled 5134 to 1997 computations (61.1% saved)

prune40.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	282	5	287
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	282	6	288

Error

Counts

288 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
▶	29.3b	(/.f64 x (-.f64 x (tan.f64 x)))
▶	34.0b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
▶	28.6b	(+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))
	29.0b	1
	34.6b	-1/2

Compiler

Compiled 43 to 31 computations (27.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
✓	0.0b	(+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))
✓	1.0b	(-.f64 (tan.f64 x) x)
	1.0b	(-.f64 x (sin.f64 x))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite112.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`rational.json-1`
1942×	`rational.json-2`
1942×	`rational.json-4`
1942×	`rational.json-3`
718×	`rational.json-simplify-49`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	101	77
2	254	71
3	590	69
4	1426	65
5	5478	65

Stop Event

1×	node limit

Counts

3 → 228

Calls

Call 1

Inputs
(-.f64 (tan.f64 x) x)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))

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

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

simplify132.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1220×	`rational.json-simplify-53`
956×	`rational.json-simplify-35`
954×	`rational.json-simplify-50`
836×	`rational.json-simplify-51`
812×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	498	9948
1	1361	8602
2	5661	8502

Stop Event

1×	node limit

Counts

264 → 321

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 62/2835 (pow.f64 x 9)) (.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
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(+.f64 1 (+.f64 -1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) 0)
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(+.f64 (+.f64 -1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))) 1)
(+.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 (tan.f64 x) x))) (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(-.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) 0)
(-.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(-.f64 (+.f64 -1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))) -1)
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))) 1)
(.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(*.f64 -1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (-.f64 (tan.f64 x) x)))
(.f64 (-.f64 x (sin.f64 x)) (.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) -1))
(.f64 (-.f64 x (sin.f64 x)) (.f64 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) 1/2))
(.f64 (-.f64 x (sin.f64 x)) (.f64 (/.f64 2 (-.f64 (tan.f64 x) x)) 1/2))
(.f64 (-.f64 x (sin.f64 x)) (.f64 -1 (/.f64 -1 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) 1)
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -1)
(.f64 (.f64 (-.f64 (sin.f64 x) x) -2) (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(.f64 (.f64 (-.f64 (sin.f64 x) x) -2) (*.f64 -1/2 (/.f64 -1 (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 -1 (-.f64 (tan.f64 x) x)))
(.f64 (-.f64 (sin.f64 x) x) (.f64 -1 (/.f64 1 (-.f64 (tan.f64 x) x))))
(.f64 (-.f64 (sin.f64 x) x) (.f64 (*.f64 -1 (/.f64 1 (-.f64 (tan.f64 x) x))) 1))
(.f64 (-.f64 (sin.f64 x) x) (.f64 (*.f64 2 (/.f64 -1 (-.f64 (tan.f64 x) x))) 1/2))
(.f64 (-.f64 (sin.f64 x) x) (.f64 -2 (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(.f64 2 (.f64 (*.f64 (-.f64 x (sin.f64 x)) -1/2) (/.f64 -1 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 (-.f64 (tan.f64 x) x))) 1/2)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4) 1))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 1/4 (/.f64 1 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(.f64 4 (/.f64 (-.f64 x (sin.f64 x)) (.f64 (-.f64 (tan.f64 x) x) 4)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) 4))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 1 (/.f64 -1 (-.f64 (sin.f64 x) x))))
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (/.f64 1 (.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (/.f64 2 (.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 2 (-.f64 x (sin.f64 x)))) (/.f64 1 (.f64 2 (.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 2 (-.f64 x (sin.f64 x)))) (/.f64 1/2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 -2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(.f64 -2 (/.f64 (-.f64 x (sin.f64 x)) (.f64 (-.f64 (tan.f64 x) x) -2)))
(.f64 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (-.f64 (tan.f64 x) x)) 1/4)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 8) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) 8)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) -4)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -4) (/.f64 1 (.f64 2 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) 2)))))
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 (-.f64 (tan.f64 x) x))))
(.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) -2))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (.f64 (-.f64 (tan.f64 x) x) 2) (.f64 2 (.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 2) (/.f64 1/2 (-.f64 x (tan.f64 x))))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 2) (*.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 1))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 2) (*.f64 1/2 (/.f64 -1 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 2) (/.f64 2 (.f64 2 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) 2)))))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 2) (/.f64 1 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) 2))))
(.f64 (.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(.f64 -1/2 (.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(.f64 (.f64 -1 (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (sin.f64 x) x))
(.f64 (.f64 2 (/.f64 -1 (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 x (sin.f64 x)) -1/2))
(.f64 (.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) -1/2)
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 (tan.f64 x) x))) 2)
(.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 1/2 (-.f64 x (sin.f64 x)))) (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 1/2 (-.f64 x (sin.f64 x))) (/.f64 (.f64 (-.f64 (tan.f64 x) x) 2) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 -1 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 2 (-.f64 (tan.f64 x) x)) (.f64 (-.f64 x (sin.f64 x)) 1/2))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -1/2) (/.f64 2 (-.f64 x (tan.f64 x))))
(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4) (.f64 (-.f64 x (sin.f64 x)) 4))
(.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) (.f64 (-.f64 (sin.f64 x) x) 2))
(.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(.f64 1/4 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (-.f64 (tan.f64 x) x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (/.f64 2 (-.f64 (tan.f64 x) x)))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) 1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))

Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 62/2835 (pow.f64 x 9)) (.f64 2/15 (pow.f64 x 5)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 62/2835 (pow.f64 x 9))) (.f64 17/315 (pow.f64 x 7))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 62/2835 (pow.f64 x 9)))))
(+.f64 (.f64 2/15 (pow.f64 x 5)) (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 17/315 (pow.f64 x 7))) (.f64 62/2835 (pow.f64 x 9))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (.f64 9/40 (pow.f64 x 2)) 1/2))
(+.f64 (-.f64 (.f64 9/40 (pow.f64 x 2)) 1/2) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (-.f64 (.f64 -27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1/2))
1
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 x (cos.f64 x)) 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (cos.f64 x)) 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (cos.f64 x)) 2)) (-.f64 (+.f64 1 (+.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 x (cos.f64 x)) 3)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (cos.f64 x)) 2)) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 x (cos.f64 x)) 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (.f64 -1 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))))))
(+.f64 1 (.f64 -1 (+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (.f64 -1 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (.f64 -1 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 1 (+.f64 (.f64 -1 (+.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) (neg.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 1 (.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))))))
1/2
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(.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (/.f64 2 (.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
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(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
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(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 (-.f64 (tan.f64 x) x))))
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(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) -2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
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(.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))))
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(.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)))))))
(.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 2) (/.f64 1/2 (-.f64 x (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 2) (*.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) 1))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 2) (*.f64 1/2 (/.f64 -1 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 2) (/.f64 2 (.f64 2 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) 2)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 (sin.f64 x) x) 2) (/.f64 1 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) 2))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 -1/2 (.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 -1 (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 2 (/.f64 -1 (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 x (sin.f64 x)) -1/2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) -1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 (-.f64 (tan.f64 x) x))) 2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 1/2 (-.f64 x (sin.f64 x)))) (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 -1/2 (-.f64 (sin.f64 x) x))) (/.f64 2 (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)))))))
(.f64 (-.f64 (tan.f64 x) x) (.f64 (/.f64 -1/2 (-.f64 (sin.f64 x) x)) (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(.f64 2 (.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))) (/.f64 -1/2 (-.f64 (sin.f64 x) x))))
(.f64 (/.f64 1/2 (-.f64 x (sin.f64 x))) (/.f64 (.f64 (-.f64 (tan.f64 x) x) 2) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 -1/2 (-.f64 (sin.f64 x) x))) (/.f64 2 (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)))))))
(.f64 (-.f64 (tan.f64 x) x) (.f64 (/.f64 -1/2 (-.f64 (sin.f64 x) x)) (/.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(.f64 2 (.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))) (/.f64 -1/2 (-.f64 (sin.f64 x) x))))
(.f64 (/.f64 -1 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 -1 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 x (tan.f64 x)) (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 -1 (-.f64 x (sin.f64 x))) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))
(.f64 (/.f64 -1 (-.f64 x (sin.f64 x))) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (tan.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 2 (-.f64 (tan.f64 x) x)) (.f64 (-.f64 x (sin.f64 x)) 1/2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -1/2) (/.f64 2 (-.f64 x (tan.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 4) (.f64 (-.f64 x (sin.f64 x)) 4))
(.f64 (.f64 4 (-.f64 x (sin.f64 x))) (/.f64 1/4 (-.f64 (tan.f64 x) x)))
(.f64 4 (.f64 (/.f64 1/4 (-.f64 (tan.f64 x) x)) (-.f64 x (sin.f64 x))))
(.f64 (.f64 -4 (-.f64 (sin.f64 x) x)) (/.f64 1/4 (-.f64 (tan.f64 x) x)))
(.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) (.f64 (-.f64 (sin.f64 x) x) 2))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (.f64 2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 2 (-.f64 x (sin.f64 x)))) (/.f64 1/2 (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)))))))
(.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))) (*.f64 2 (-.f64 (tan.f64 x) x)))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))) (-.f64 x (sin.f64 x)))
(.f64 1/4 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (/.f64 2 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)) 1)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (tan.f64 x)))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 9/40 (pow.f64 x 2))

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 9/40 (pow.f64 x 2))
0.0ms	x	@	inf	(*.f64 9/40 (pow.f64 x 2))
0.0ms	x	@	-inf	(*.f64 9/40 (pow.f64 x 2))

rewrite367.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3388×	`rational.json-simplify-35`
2202×	`rational.json-simplify-51`
1832×	`rational.json-simplify-2`
1160×	`rational.json-simplify-1`
1072×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	95	13
3	179	13
4	316	13
5	676	13
6	1599	13
7	2619	13
8	3150	13
9	3771	13
10	4452	13
11	4870	13
12	4870	13
13	4870	13
14	5602	13
15	6404	13
16	7383	13
17	7801	13
18	7860	13
19	7860	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 9/40 (pow.f64 x 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/40 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9/40 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 9/80) (*.f64 (pow.f64 x 2) 9/80))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 9/40 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 9/40 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 9/20) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 9/10) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 9/5) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 18/5) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 4) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 4) 4) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4)) 4096)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)))))

simplify579.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

6856×	`rational.json-simplify-43`
4292×	`rational.json-simplify-35`
1466×	`rational.json-simplify-2`
1032×	`rational.json-simplify-1`
684×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	234
1	141	234
2	302	234
3	737	234
4	1999	234
5	3465	234
6	4025	234
7	4206	234
8	4341	234
9	4473	234
10	4605	234
11	4811	234
12	4952	234
13	4952	234
14	5084	234
15	5216	234
16	5348	234
17	5480	234
18	5612	234
19	5744	234
20	5876	234
21	6008	234
22	6140	234
23	6140	234
24	6272	234

Stop Event

1×	node limit

Counts

18 → 19

Calls

Call 1

Inputs
(+.f64 (*.f64 9/40 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) 9/80) (.f64 (pow.f64 x 2) 9/80))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 0)
(/.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(/.f64 (*.f64 (pow.f64 x 2) 9/20) 2)
(/.f64 (*.f64 (pow.f64 x 2) 9/10) 4)
(/.f64 (*.f64 (pow.f64 x 2) 9/5) 8)
(/.f64 (*.f64 (pow.f64 x 2) 18/5) 16)
(/.f64 (.f64 (.f64 (pow.f64 x 2) 9/5) 4) 32)
(/.f64 (.f64 (.f64 (pow.f64 x 2) 18/5) 4) 64)
(/.f64 (.f64 (.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 128)
(/.f64 (.f64 (.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 4) 256)
(/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 512)
(/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 18/5) 4) 4) 4) 1024)
(/.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4) 2048)
(/.f64 (.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4)) 4096)
(pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)

Outputs
(+.f64 (*.f64 9/40 (pow.f64 x 2)) 0)
(*.f64 9/40 (pow.f64 x 2))
(+.f64 0 (*.f64 9/40 (pow.f64 x 2)))
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 9/80) (.f64 (pow.f64 x 2) 9/80))
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 0)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 9/20) 2)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 9/10) 4)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 9/5) 8)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 18/5) 16)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (.f64 (.f64 (pow.f64 x 2) 9/5) 4) 32)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (.f64 (.f64 (pow.f64 x 2) 18/5) 4) 64)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (.f64 (.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 128)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (.f64 (.f64 (*.f64 (pow.f64 x 2) 18/5) 4) 4) 256)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 512)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 18/5) 4) 4) 4) 1024)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4) 2048)
(*.f64 9/40 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 x 2) 9/5) 4) 4) 4) 4)) 4096)
(*.f64 9/40 (pow.f64 x 2))
(pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(*.f64 9/40 (pow.f64 x 2))

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(tan.f64 x)
✓	0.0b	(/.f64 x (-.f64 x (tan.f64 x)))
	1.0b	(-.f64 x (tan.f64 x))

Compiler

Compiled 14 to 4 computations (71.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`rational.json-1`
1546×	`rational.json-2`
1546×	`rational.json-4`
1546×	`rational.json-3`
1538×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	54	17
2	170	17
3	417	17
4	1114	17
5	4323	17

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

Inputs
(/.f64 x (-.f64 x (tan.f64 x)))

Outputs

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

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational.json-simplify-61`
1194×	`rational.json-simplify-35`
1176×	`rational.json-simplify-2`
1112×	`rational.json-simplify-51`
1032×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	3422
1	512	3350
2	1434	3210
3	4384	3134
4	7812	3134

Stop Event

1×	node limit

Counts

112 → 157

Calls

Call 1

Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(+.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2))
(+.f64 (-.f64 1 (/.f64 x (-.f64 (tan.f64 x) x))) -1)
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(-.f64 0 (/.f64 x (-.f64 (tan.f64 x) x)))
(*.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))
(.f64 x (.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x))))))
(.f64 x (.f64 1/2 (/.f64 2 (-.f64 x (tan.f64 x)))))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 x (tan.f64 x))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1/2))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(.f64 (neg.f64 x) (.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x)))))
(*.f64 -1 (/.f64 x (-.f64 (tan.f64 x) x)))
(.f64 -1 (/.f64 (+.f64 x x) (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2))))
(.f64 2 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2))
(.f64 (/.f64 (.f64 x -2) (-.f64 (tan.f64 x) x)) 1/2)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) -4)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) 1/4))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (/.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 2 (.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (/.f64 2 x)) (/.f64 1 (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (/.f64 2 x)) (/.f64 1/2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(.f64 4 (/.f64 x (.f64 (-.f64 (tan.f64 x) x) -4)))
(*.f64 4 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4))
(.f64 -2 (.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(.f64 -2 (/.f64 x (.f64 (-.f64 (tan.f64 x) x) 2)))
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 1/4)
(.f64 (.f64 x 8) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) 8)))
(.f64 (.f64 x -4) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) -4)))
(.f64 (.f64 x -4) (/.f64 1 (.f64 2 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2)))))
(*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1)
(.f64 1/2 (/.f64 (.f64 x -2) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(.f64 (/.f64 1 x) (/.f64 (.f64 (-.f64 (tan.f64 x) x) -2) (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(*.f64 (/.f64 1/2 (-.f64 x (tan.f64 x))) (+.f64 x x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(.f64 (.f64 x -2) (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(.f64 (.f64 x -2) (*.f64 1/2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 x -2) (/.f64 2 (.f64 2 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2)))))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))))
(.f64 (.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))) (*.f64 x 1/2))
(.f64 (.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 x -1/2))
(.f64 (.f64 2 (/.f64 x (-.f64 (tan.f64 x) x))) -1/2)
(.f64 -1/2 (.f64 2 (/.f64 x (-.f64 (tan.f64 x) x))))
(.f64 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1/2) 2)
(.f64 (/.f64 2 (-.f64 x (tan.f64 x))) (.f64 x 1/2))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 (-.f64 (tan.f64 x) x) -2) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (/.f64 1/2 x)) (/.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(.f64 (/.f64 1 (.f64 (-.f64 (tan.f64 x) x) -4)) (*.f64 x 4))
(.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (.f64 x -2))
(.f64 (/.f64 2 x) (/.f64 (-.f64 x (tan.f64 x)) (.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(.f64 (.f64 x -1/2) (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 x -1/2) (/.f64 2 (-.f64 (tan.f64 x) x)))
(.f64 1/4 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x)))))
(.f64 (.f64 x 1/2) (/.f64 2 (-.f64 x (tan.f64 x))))
(.f64 (.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))) -2)
(.f64 (.f64 (/.f64 1 (-.f64 x (tan.f64 x))) 1/4) (*.f64 x 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x))))) x)
(.f64 (.f64 1/2 (/.f64 2 (-.f64 x (tan.f64 x)))) x)
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x)))) (neg.f64 x))
(.f64 (.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x)))) (*.f64 x 4))
(.f64 (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1/2) (+.f64 x x))
(.f64 (.f64 1/2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 x -2))
(*.f64 (/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 (-.f64 x (tan.f64 x)) x))
(.f64 (/.f64 (.f64 (-.f64 (tan.f64 x) x) -2) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 1/2 x))
(.f64 (/.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (.f64 (-.f64 x (tan.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 1 (.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (*.f64 (-.f64 x (tan.f64 x)) (/.f64 2 x)))
(.f64 (/.f64 (.f64 (-.f64 (tan.f64 x) x) -2) (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 1 x))
(.f64 (/.f64 2 (.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 (-.f64 x (tan.f64 x)) x))
(.f64 (/.f64 (+.f64 x x) (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2))) -1)
(.f64 (/.f64 x (.f64 (-.f64 (tan.f64 x) x) -4)) 4)
(.f64 (/.f64 x (.f64 (-.f64 (tan.f64 x) x) 2)) -2)
(.f64 (/.f64 2 (-.f64 (tan.f64 x) x)) (.f64 x -1/2))
(.f64 (/.f64 1 (.f64 (-.f64 x (tan.f64 x)) -4)) (*.f64 x -4))
(.f64 (/.f64 1/2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (.f64 (-.f64 x (tan.f64 x)) (/.f64 2 x)))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 4)
(.f64 (/.f64 1 (.f64 (-.f64 x (tan.f64 x)) 8)) (*.f64 x 8))
(.f64 (/.f64 1 (.f64 2 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2)))) (.f64 x -4))
(.f64 (/.f64 2 (.f64 2 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2)))) (.f64 x -2))
(.f64 (/.f64 1 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2))) (*.f64 x -2))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(neg.f64 (/.f64 x (-.f64 (tan.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(neg.f64 (/.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) (.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))))

Outputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 6/5 (-.f64 (.f64 (pow.f64 x 2) 1/175) (.f64 3 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 2) 1/175) (*.f64 3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 x 2) 1/175) (-.f64 (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4))) (*.f64 3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 6/5 (+.f64 (.f64 2/7875 (pow.f64 x 4)) (-.f64 (.f64 (pow.f64 x 2) 1/175) (*.f64 3 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (-.f64 6/5 (.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/175) (*.f64 2/7875 (pow.f64 x 4))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (cos.f64 x)) 2))))
(+.f64 1 (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
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(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 x (tan.f64 x))))) x)
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (.f64 1/2 (/.f64 2 (-.f64 x (tan.f64 x)))) x)
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 (tan.f64 x) x)))) (neg.f64 x))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (.f64 1/2 (/.f64 1/2 (-.f64 x (tan.f64 x)))) (*.f64 x 4))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1/2) (+.f64 x x))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (.f64 1/2 (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 x -2))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 (-.f64 x (tan.f64 x)) x))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 x (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) x))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 (/.f64 (.f64 x x) (-.f64 x (tan.f64 x))) (-.f64 x (tan.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (tan.f64 x) x) -2) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 (-.f64 (tan.f64 x) x) -2) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(.f64 (/.f64 1/2 x) (.f64 -2 (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (-.f64 (tan.f64 x) x))))))
(.f64 (/.f64 1/2 x) (.f64 -2 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))))
(*.f64 -2 (/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x)))
(.f64 (/.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (.f64 (-.f64 x (tan.f64 x)) (/.f64 1/2 x)))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (/.f64 1/2 x)) (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 2)))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 x (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (.f64 x 2)))) (-.f64 x (tan.f64 x))))
(.f64 (/.f64 1/2 x) (.f64 (-.f64 x (tan.f64 x)) (*.f64 x (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) 2)))))
(.f64 (-.f64 x (tan.f64 x)) (.f64 (/.f64 1/2 x) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 2 (/.f64 (-.f64 (tan.f64 x) x) x)))))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 1 x))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 -1 x))
(.f64 (/.f64 -1 x) (/.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(.f64 (/.f64 -1 x) (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (.f64 x (-.f64 (tan.f64 x) x)))))
(.f64 (/.f64 -1 x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 -1 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (-.f64 x (tan.f64 x)))
(.f64 (-.f64 x (tan.f64 x)) (/.f64 1 (.f64 x (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))))))
(.f64 (-.f64 x (tan.f64 x)) (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x)))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 x (tan.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) x)))
(.f64 (/.f64 1 (.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (*.f64 (-.f64 x (tan.f64 x)) (/.f64 2 x)))
(.f64 (-.f64 x (tan.f64 x)) (.f64 (/.f64 2 x) (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 1/2))))
(.f64 (-.f64 x (tan.f64 x)) (.f64 (/.f64 2 x) (/.f64 x (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (.f64 x 1/2))))))
(.f64 (/.f64 2 x) (.f64 (-.f64 x (tan.f64 x)) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x (/.f64 -1/2 (-.f64 x (tan.f64 x)))))))
(.f64 (/.f64 (.f64 (-.f64 (tan.f64 x) x) -2) (*.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 1 x))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (/.f64 2 (.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 (-.f64 x (tan.f64 x)) x))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 x (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) x))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 (/.f64 (.f64 x x) (-.f64 x (tan.f64 x))) (-.f64 x (tan.f64 x))))
(.f64 (/.f64 (+.f64 x x) (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2))) -1)
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (/.f64 x (.f64 (-.f64 (tan.f64 x) x) -4)) 4)
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (/.f64 x (.f64 (-.f64 (tan.f64 x) x) 2)) -2)
(.f64 -2 (.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(.f64 x (.f64 -2 (/.f64 -1/2 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 2 (-.f64 (tan.f64 x) x)) (.f64 x -1/2))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (/.f64 1 (.f64 (-.f64 x (tan.f64 x)) -4)) (*.f64 x -4))
(.f64 (.f64 x -4) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) -4)))
(.f64 x (.f64 -4 (/.f64 1/4 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 x -4) (/.f64 1/4 (-.f64 (tan.f64 x) x)))
(.f64 (/.f64 1/2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) (.f64 (-.f64 x (tan.f64 x)) (/.f64 2 x)))
(.f64 (-.f64 x (tan.f64 x)) (.f64 (/.f64 2 x) (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 1/2))))
(.f64 (-.f64 x (tan.f64 x)) (.f64 (/.f64 2 x) (/.f64 x (.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (.f64 x 1/2))))))
(.f64 (/.f64 2 x) (.f64 (-.f64 x (tan.f64 x)) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x (/.f64 -1/2 (-.f64 x (tan.f64 x)))))))
(.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 2 x))
(.f64 (/.f64 2 x) (/.f64 (/.f64 (-.f64 x (tan.f64 x)) 2) (/.f64 (-.f64 (tan.f64 x) x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(*.f64 (/.f64 2 x) (/.f64 x (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 x (tan.f64 x)) 2))))
(.f64 (/.f64 2 x) (.f64 x (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 2 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x))))))
(.f64 (/.f64 2 x) (/.f64 (/.f64 (.f64 x x) (-.f64 x (tan.f64 x))) 2))
(*.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 4)
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (/.f64 1 (.f64 (-.f64 x (tan.f64 x)) 8)) (*.f64 x 8))
(.f64 x (.f64 8 (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) 8))))
(.f64 (.f64 x 8) (/.f64 1/8 (-.f64 x (tan.f64 x))))
(.f64 x (.f64 8 (/.f64 1/8 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 1 (.f64 2 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2)))) (.f64 x -4))
(.f64 (.f64 x -4) (/.f64 1 (*.f64 (-.f64 x (tan.f64 x)) -4)))
(.f64 x (.f64 -4 (/.f64 1/4 (-.f64 (tan.f64 x) x))))
(.f64 (.f64 x -4) (/.f64 1/4 (-.f64 (tan.f64 x) x)))
(.f64 (/.f64 2 (.f64 2 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2)))) (.f64 x -2))
(.f64 -2 (.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(.f64 x (.f64 -2 (/.f64 -1/2 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 1 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) -2))) (*.f64 x -2))
(.f64 -2 (.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(.f64 x (.f64 -2 (/.f64 -1/2 (-.f64 x (tan.f64 x)))))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) (.f64 2 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) -2))))
(/.f64 x (-.f64 x (tan.f64 x)))

eval150.0ms (0.9%)

Compiler: Compiled 11510 to 5265 computations (54.3% saved)

prune207.0ms (1.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	658	1	659
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	658	7	665

Error

Counts

665 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	29.3b	(/.f64 x (-.f64 x (tan.f64 x)))
✓	34.0b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓	28.6b	(+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))
▶	29.5b	(.f64 (/.f64 -1 x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))
	29.0b	1
	34.6b	-1/2

Compiler

Compiled 56 to 39 computations (30.4% saved)

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))
✓	0.0b	(/.f64 x (-.f64 (tan.f64 x) x))
✓	0.1b	(.f64 (/.f64 -1 x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))
	1.0b	(-.f64 (tan.f64 x) x)

Compiler

Compiled 38 to 11 computations (71.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`rational.json-1`
1714×	`rational.json-2`
1714×	`rational.json-4`
1714×	`rational.json-3`
1338×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	86	75
2	241	73
3	605	69
4	2061	57
5	6366	57

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs
(.f64 (/.f64 -1 x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))
(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (-.f64 (tan.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 x 4) (/.f64 x (/.f64 (-.f64 (tan.f64 x) x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 x (-.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (*.f64 x 4) (/.f64 x (-.f64 x (tan.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (neg.f64 (*.f64 2 (-.f64 x (tan.f64 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) 4) x) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 4) (*.f64 x 4)))))) 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simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational.json-simplify-43`
1076×	`rational.json-simplify-35`
972×	`rational.json-simplify-2`
906×	`rational.json-simplify-54`
830×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	362	4935
1	1126	4855
2	3704	4519
3	7445	4507

Stop Event

1×	node limit

Counts

185 → 228

Calls

Call 1

Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(/.f64 3 (pow.f64 x 2))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) 6/5)
(-.f64 (+.f64 (.f64 -1/175 (pow.f64 x 2)) (.f64 3 (/.f64 1 (pow.f64 x 2)))) 6/5)
(-.f64 (+.f64 (.f64 -2/7875 (pow.f64 x 4)) (+.f64 (.f64 -1/175 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))) 6/5)
-1
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) 1)
-1
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) 1)
(/.f64 3 x)
(+.f64 (.f64 -6/5 x) (.f64 3 (/.f64 1 x)))
(+.f64 (.f64 -6/5 x) (+.f64 (.f64 -1/175 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))
(+.f64 (.f64 -6/5 x) (+.f64 (.f64 -1/175 (pow.f64 x 3)) (+.f64 (.f64 3 (/.f64 1 x)) (.f64 -2/7875 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) x))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 x)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) x))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 2)))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) x))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 x)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) x))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 2)))))))
(+.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(-.f64 0 (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 -1 (/.f64 (-.f64 (tan.f64 x) x) x))
(/.f64 -1 (/.f64 x (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) x)) -1))
(/.f64 x (-.f64 x (tan.f64 x)))
(/.f64 x (/.f64 (*.f64 x 4) (/.f64 x (/.f64 (-.f64 (tan.f64 x) x) -4))))
(/.f64 x (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) (/.f64 -1 x)) 2))
(/.f64 x (/.f64 (/.f64 (+.f64 x x) (/.f64 x (-.f64 x (tan.f64 x)))) 2))
(/.f64 x (/.f64 (/.f64 (*.f64 x 4) (/.f64 x (-.f64 x (tan.f64 x)))) 4))
(/.f64 x (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 x x)) -1))
(/.f64 x (/.f64 (neg.f64 (*.f64 2 (-.f64 x (tan.f64 x)))) -2))
(/.f64 (/.f64 -1 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x))
(/.f64 (/.f64 -1 x) (/.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (neg.f64 x)))
(/.f64 (/.f64 -1 x) (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) x) 2))
(/.f64 (/.f64 -1 x) (/.f64 (/.f64 (.f64 (-.f64 (tan.f64 x) x) 4) x) (.f64 x 4)))
(/.f64 (/.f64 -1 x) (/.f64 (.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 4) (.f64 x 4)))
(/.f64 (/.f64 -1 x) (/.f64 (/.f64 (.f64 2 (-.f64 x (tan.f64 x))) x) (.f64 x -2)))
(/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1)
(/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 2 (/.f64 x x)) -2))
(/.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))) (neg.f64 x))
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) x))
(/.f64 1 (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) x)))
(/.f64 1 (/.f64 x (neg.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(/.f64 -2 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)))
(/.f64 -2 (/.f64 (+.f64 x x) (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 -2 (+.f64 (/.f64 x (.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 x (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(/.f64 (+.f64 x x) (*.f64 2 (-.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 2 (/.f64 (*.f64 2 (-.f64 x (tan.f64 x))) x))
(/.f64 2 (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x))))
(/.f64 2 (/.f64 (.f64 x -2) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 2 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 (-.f64 x (tan.f64 x)) x)))
(/.f64 2 (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) x)) (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) x))))
(/.f64 2 (+.f64 (/.f64 x (neg.f64 (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 x (neg.f64 (.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))))))
(/.f64 2 (-.f64 0 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x))))
(/.f64 (*.f64 (/.f64 -1 x) 2) (+.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x)))
(/.f64 -4 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 4))
(/.f64 -4 (+.f64 (/.f64 (+.f64 x x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 (+.f64 x x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(/.f64 (.f64 x 4) (.f64 4 (-.f64 x (tan.f64 x))))
(/.f64 (.f64 x 4) (neg.f64 (.f64 (-.f64 (tan.f64 x) x) 4)))
(/.f64 (*.f64 x (/.f64 -2 (-.f64 x (tan.f64 x)))) -2)
(/.f64 (.f64 x -2) (.f64 (-.f64 (tan.f64 x) x) 2))
(/.f64 (.f64 x -2) (neg.f64 (.f64 2 (-.f64 x (tan.f64 x)))))
(/.f64 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 x x)) (.f64 x -2))
(/.f64 4 (+.f64 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x))) (neg.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)))))
(/.f64 4 (+.f64 (/.f64 (.f64 2 (-.f64 x (tan.f64 x))) x) (/.f64 (.f64 2 (-.f64 x (tan.f64 x))) x)))
(/.f64 4 (+.f64 (/.f64 (.f64 x -2) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))) (/.f64 (.f64 x -2) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))))
(/.f64 (.f64 (+.f64 x x) 4) (.f64 2 (*.f64 4 (-.f64 x (tan.f64 x)))))
(/.f64 (.f64 (+.f64 x x) 4) (+.f64 (neg.f64 (.f64 (-.f64 (tan.f64 x) x) 4)) (neg.f64 (*.f64 (-.f64 (tan.f64 x) x) 4))))
(/.f64 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 4) -4)
(/.f64 (.f64 (neg.f64 x) 4) (.f64 (*.f64 2 (-.f64 x (tan.f64 x))) -2))
(/.f64 (*.f64 4 (/.f64 x (-.f64 x (tan.f64 x)))) 4)
(/.f64 (/.f64 -2 (-.f64 (tan.f64 x) x)) (*.f64 2 (/.f64 1 x)))
(/.f64 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x 4)) (*.f64 (neg.f64 x) 4))
(/.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(/.f64 (/.f64 x (/.f64 (-.f64 (tan.f64 x) x) -4)) 4)
(/.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) (/.f64 1 x))
(/.f64 (.f64 2 (.f64 4 (/.f64 x (-.f64 x (tan.f64 x))))) 8)
(/.f64 (/.f64 (*.f64 x -2) (-.f64 (tan.f64 x) x)) 2)
(/.f64 (*.f64 2 (/.f64 x (/.f64 (-.f64 (tan.f64 x) x) -4))) 8)
(/.f64 (.f64 2 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x 4))) (.f64 2 (*.f64 (neg.f64 x) 4)))
(/.f64 (/.f64 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x 4)) (neg.f64 x)) 4)
(/.f64 (*.f64 -1 (/.f64 1/2 (-.f64 (tan.f64 x) x))) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))) x) -1)
(/.f64 (/.f64 x 2) (/.f64 (-.f64 x (tan.f64 x)) 2))
(/.f64 (neg.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))) x)
(/.f64 (+.f64 (.f64 -1 (/.f64 1/2 (-.f64 (tan.f64 x) x))) (.f64 -1 (/.f64 1/2 (-.f64 (tan.f64 x) x)))) (/.f64 1 x))
(/.f64 (+.f64 (.f64 2 (.f64 4 (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 2 (.f64 4 (/.f64 x (-.f64 x (tan.f64 x)))))) 16)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x 4)) (neg.f64 x)) (/.f64 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x 4)) (neg.f64 x))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))) (neg.f64 (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))) (+.f64 x x))
(/.f64 (+.f64 (/.f64 (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))) x) (/.f64 (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))) x)) -2)
(/.f64 (neg.f64 (/.f64 -1 (-.f64 (tan.f64 x) x))) (/.f64 -1 x))
(/.f64 (neg.f64 (*.f64 -1 (/.f64 1/2 (-.f64 (tan.f64 x) x)))) (-.f64 0 (/.f64 1/2 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 x x))) (+.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))) (neg.f64 x))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(neg.f64 (/.f64 x (-.f64 (tan.f64 x) x)))
(neg.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))) x))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))))
(+.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 0)
(+.f64 0 (/.f64 x (-.f64 (tan.f64 x) x)))
(+.f64 (.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))) (.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(-.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 0)
(-.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 x (/.f64 -1 (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1)
(*.f64 1 (/.f64 x (-.f64 (tan.f64 x) x)))
(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 (tan.f64 x) x)))
(.f64 (+.f64 x x) (.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) 1/2))
(*.f64 (neg.f64 x) (/.f64 -1 (-.f64 (tan.f64 x) x)))
(.f64 2 (.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(*.f64 2 (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) 4)))
(.f64 (.f64 x (/.f64 -2 (-.f64 x (tan.f64 x)))) 1/2)
(.f64 (.f64 x -2) (*.f64 -1 (/.f64 1/2 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)
(.f64 1/2 (.f64 x (/.f64 -2 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1/2 (-.f64 (tan.f64 x) x)) (+.f64 x x))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(.f64 (.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) 1/2) (+.f64 x x))
(.f64 (.f64 -1 (/.f64 1/2 (-.f64 (tan.f64 x) x))) (*.f64 x -2))
(.f64 (.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))) 2)
(.f64 (/.f64 1 (.f64 (-.f64 (tan.f64 x) x) 4)) (*.f64 x 4))
(*.f64 (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2) 2)
(pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1)
(neg.f64 (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))) 0)
(+.f64 0 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))
(-.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))) 0)
(/.f64 x (/.f64 (-.f64 (tan.f64 x) x) x))
(/.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) x)) -1))
(/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 1 x))
(/.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))) 1)
(/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x))
(/.f64 (+.f64 x x) (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)))
(/.f64 (neg.f64 x) (/.f64 (-.f64 x (tan.f64 x)) x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) x)))
(/.f64 2 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) x))
(/.f64 2 (+.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) x)))
(/.f64 (.f64 x 4) (.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 4))
(/.f64 (.f64 x 4) (/.f64 (.f64 (-.f64 (tan.f64 x) x) 4) x))
(/.f64 (*.f64 x (/.f64 -2 (-.f64 x (tan.f64 x)))) (/.f64 2 x))
(/.f64 (.f64 x (/.f64 -2 (-.f64 x (tan.f64 x)))) (.f64 2 (/.f64 1 x)))
(/.f64 (.f64 x -2) (/.f64 (.f64 2 (-.f64 x (tan.f64 x))) x))
(/.f64 (*.f64 x -2) (+.f64 (/.f64 (-.f64 x (tan.f64 x)) x) (/.f64 (-.f64 x (tan.f64 x)) x)))
(/.f64 (*.f64 x -2) (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) x)) (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) x))))
(/.f64 (.f64 x -2) (-.f64 0 (.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x))))
(/.f64 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 x x)) 2)
(/.f64 (*.f64 x x) (-.f64 (tan.f64 x) x))
(/.f64 4 (+.f64 (/.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) x) (/.f64 (.f64 (-.f64 (tan.f64 x) x) (/.f64 2 x)) x)))
(/.f64 (.f64 (+.f64 x x) 4) (+.f64 (.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 4) (*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 4)))
(/.f64 (.f64 (+.f64 x x) 4) (+.f64 (/.f64 (.f64 (-.f64 (tan.f64 x) x) 4) x) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) 4) x)))
(/.f64 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 (.f64 (neg.f64 x) 4) (+.f64 (/.f64 (.f64 2 (-.f64 x (tan.f64 x))) x) (/.f64 (*.f64 2 (-.f64 x (tan.f64 x))) x)))
(/.f64 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x 4)) 4)
(/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 -1 x))
(/.f64 (.f64 2 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (*.f64 x 4))) 8)
(/.f64 (/.f64 (*.f64 x 4) (/.f64 (-.f64 (tan.f64 x) x) x)) 4)
(/.f64 (*.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))) (/.f64 1/2 x))
(/.f64 (/.f64 x 2) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 2))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x 4))) (.f64 2 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x 4)))) 16)
(/.f64 (+.f64 (/.f64 (.f64 x 4) (/.f64 (-.f64 (tan.f64 x) x) x)) (/.f64 (.f64 x 4) (/.f64 (-.f64 (tan.f64 x) x) x))) 8)
(/.f64 (neg.f64 (*.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x)))) (-.f64 0 (/.f64 1/2 x)))
(pow.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))) 1)

Outputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 6/5 (-.f64 (.f64 (pow.f64 x 2) 1/175) (.f64 3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 x 2) 1/175) (-.f64 6/5 (.f64 3 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 2) 1/175) (*.f64 3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 x 2) 1/175) (-.f64 (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4))) (*.f64 3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 6/5 (+.f64 (.f64 2/7875 (pow.f64 x 4)) (-.f64 (.f64 (pow.f64 x 2) 1/175) (*.f64 3 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
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(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (.f64 2 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (*.f64 x 4))) 8)
(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 (-.f64 (tan.f64 x) x) x)) 4)
(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x))) (/.f64 1/2 x))
(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 x 2) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 2))
(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x 4))) (.f64 2 (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (.f64 x 4)))) 16)
(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (+.f64 (/.f64 (.f64 x 4) (/.f64 (-.f64 (tan.f64 x) x) x)) (/.f64 (.f64 x 4) (/.f64 (-.f64 (tan.f64 x) x) x))) 8)
(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (neg.f64 (*.f64 x (/.f64 1/2 (-.f64 (tan.f64 x) x)))) (-.f64 0 (/.f64 1/2 x)))
(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))
(pow.f64 (*.f64 x (/.f64 x (-.f64 (tan.f64 x) x))) 1)
(*.f64 x (/.f64 x (-.f64 (tan.f64 x) x)))

eval218.0ms (1.2%)

Compiler: Compiled 4915 to 2553 computations (48.1% saved)

prune42.0ms (0.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	284	7	291

Error

Counts

291 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	29.3b	(/.f64 x (-.f64 x (tan.f64 x)))
✓	34.0b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓	28.6b	(+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))
✓	29.5b	(.f64 (/.f64 -1 x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))
	29.0b	1
	34.6b	-1/2

Compiler

Compiled 56 to 39 computations (30.4% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	29.3b	(/.f64 x (-.f64 x (tan.f64 x)))
✓	34.0b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓	28.6b	(+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))
✓	29.5b	(.f64 (/.f64 -1 x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))
	29.0b	1
	34.6b	-1/2

Compiler

Compiled 56 to 39 computations (30.4% saved)

regimes241.0ms (1.4%)

Counts

7 → 3

Calls

Call 1

Inputs
-1/2
1
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(.f64 (/.f64 -1 x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))

Outputs
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Calls

2 calls:

15.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0b	3	`x`
0.4b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 62 to 33 computations (46.8% saved)

bsearch412.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	2.1088733052494666e-7	319883.7963699292
380.0ms	-1245933.030556949	-3.518626965216265e-6

Results

403.0ms

320×

body

256

valid

Compiler

Compiled 454 to 349 computations (23.1% saved)

regimes59.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

Inputs
-1/2
1
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(.f64 (/.f64 -1 x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Calls

2 calls:

54.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.4b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 49 to 28 computations (42.9% saved)

bsearch123.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	2.1088733052494666e-7	319883.7963699292
30.0ms	-1245933.030556949	-3.518626965216265e-6

Results

118.0ms

320×

body

256

valid

Compiler

Compiled 414 to 309 computations (25.4% saved)

regimes14.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
-1/2
1
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(.f64 (/.f64 -1 x) (.f64 x (/.f64 x (-.f64 (tan.f64 x) x))))

Outputs
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
1

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 30 to 19 computations (36.7% saved)

bsearch112.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	2.1088733052494666e-7	319883.7963699292
32.0ms	-1245933.030556949	-3.518626965216265e-6

Results

56.0ms

320×

body

256

valid

Compiler

Compiled 304 to 249 computations (18.1% saved)

regimes11.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
-1/2
1
(/.f64 x (-.f64 x (tan.f64 x)))

Outputs
(/.f64 x (-.f64 x (tan.f64 x)))
-1/2
1

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch102.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	2.1088733052494666e-7	319883.7963699292
29.0ms	-1245933.030556949	-3.518626965216265e-6

Results

98.0ms

320×

body

256

valid

Compiler

Compiled 184 to 149 computations (19% saved)

regimes10.0ms (0.1%)

Accuracy

Total -62.5b remaining (-11701%)

Threshold costs -62.5b (-11701%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/2
1

Outputs
1
-1/2
1

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch104.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
72.0ms	2.1088733052494666e-7	319883.7963699292
31.0ms	-1245933.030556949	-3.518626965216265e-6

Results

54.0ms

320×

body

256

valid

Compiler

Compiled 134 to 129 computations (3.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	308

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1498797955988901/288230376151711744) (+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))) (if (<=.f64 x 3170534137668829/576460752303423488) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3170534137668829/576460752303423488) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 5854679515581645/2251799813685248) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) 1))
(if (<=.f64 x -5944751508129055/4503599627370496) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 3602879701896397/2251799813685248) -1/2 1))
(if (<=.f64 x -3602879701896397/2251799813685248) 1 (if (<=.f64 x 3602879701896397/2251799813685248) -1/2 1))
-1/2

Outputs
(if (<=.f64 x -1498797955988901/288230376151711744) (+.f64 -1 (-.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))) (if (<=.f64 x 3170534137668829/576460752303423488) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3170534137668829/576460752303423488) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 5854679515581645/2251799813685248) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) 1))
(if (<=.f64 x -5944751508129055/4503599627370496) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 3602879701896397/2251799813685248) -1/2 1))
(if (<=.f64 x -3602879701896397/2251799813685248) 1 (if (<=.f64 x 3602879701896397/2251799813685248) -1/2 1))
-1/2

Compiler

Compiled 126 to 83 computations (34.1% saved)

soundness0.0ms (0%)

end110.0ms (0.6%)

Compiler: Compiled 121 to 68 computations (43.8% saved)

Details

analyze464.0ms (2.6%)

sample12.9s (73.4%)

preprocess116.0ms (0.7%)

simplify110.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series4.0ms (0%)

rewrite100.0ms (0.6%)

simplify136.0ms (0.8%)

eval60.0ms (0.3%)

prune40.0ms (0.2%)

localize15.0ms (0.1%)

series4.0ms (0%)

rewrite112.0ms (0.6%)

simplify132.0ms (0.8%)

localize9.0ms (0%)

series1.0ms (0%)

rewrite367.0ms (2.1%)

simplify579.0ms (3.3%)

localize7.0ms (0%)

series2.0ms (0%)

rewrite84.0ms (0.5%)

simplify124.0ms (0.7%)

eval150.0ms (0.9%)

prune207.0ms (1.2%)

localize47.0ms (0.3%)

series2.0ms (0%)

rewrite107.0ms (0.6%)

simplify125.0ms (0.7%)

eval218.0ms (1.2%)

prune42.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes241.0ms (1.4%)

bsearch412.0ms (2.3%)

regimes59.0ms (0.3%)

bsearch123.0ms (0.7%)

regimes14.0ms (0.1%)

bsearch112.0ms (0.6%)

regimes11.0ms (0.1%)

bsearch102.0ms (0.6%)

regimes10.0ms (0.1%)

bsearch104.0ms (0.6%)

simplify5.0ms (0%)

soundness0.0ms (0%)

end110.0ms (0.6%)

Profiling