Details

analyze907.0ms (3.8%)

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)

sample17.9s (75.7%)

Results

10.6s	2032×	body	2048	valid
4.5s	3183×	body	1024	valid
2.0s	1522×	body	512	valid
492.0ms	1407×	body	256	valid
293.0ms	112×	body	4096	valid

Bogosity

preprocess80.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1256×	`rational.json-simplify-1`
1036×	`trig.json-simplify-41`
526×	`rational.json-simplify-64`
442×	`rational.json-simplify-2`
424×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	15	27
2	20	27
3	29	27
4	43	27
5	64	27
6	156	27
7	726	27
8	1596	27
9	2919	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)

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1256×	`rational.json-simplify-1`
1036×	`trig.json-simplify-41`
526×	`rational.json-simplify-64`
442×	`rational.json-simplify-2`
424×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	15	27
2	20	27
3	29	27
4	43	27
5	64	27
6	156	27
7	726	27
8	1596	27
9	2919	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

32.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	1.7b	(-.f64 x (tan.f64 x))
✓	1.7b	(-.f64 x (sin.f64 x))

Compiler

Compiled 23 to 6 computations (73.9% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 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	@	-inf	(-.f64 x (tan.f64 x))

rewrite119.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`rational.json-simplify-2`
584×	`rational.json-simplify-47`
566×	`rational.json-5`
564×	`exponential.json-3`
564×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	80	49
2	304	49
3	1161	49
4	4602	49

Stop Event

1×	node limit

Counts

3 → 65

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)))

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

Outputs

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

simplify182.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

944×	`rational.json-simplify-54`
930×	`rational.json-simplify-2`
848×	`rational.json-simplify-49`
830×	`rational.json-simplify-1`
772×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	213	2433
1	410	2363
2	855	2357
3	2177	2333
4	5774	2309

Stop Event

1×	node limit

Counts

101 → 136

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

eval37.0ms (0.2%)

Compiler: Compiled 3452 to 1124 computations (67.4% saved)

prune25.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	8	137

Error

Counts

137 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
▶	32.8b	(/.f64 (-.f64 x (sin.f64 x)) (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))
▶	33.1b	(/.f64 x (-.f64 x (tan.f64 x)))
▶	30.7b	(-.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)
▶	30.9b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
▶	30.3b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
	32.8b	1
	30.8b	-1/2

Compiler

Compiled 142 to 112 computations (21.1% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.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
1.0ms	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))

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational.json-5`
1162×	`exponential.json-3`
1162×	`rational.json-1`
1162×	`rational.json-2`
1162×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	57	13
2	174	13
3	604	13
4	2297	13

Stop Event

1×	node limit

Counts

1 → 9

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 9/40 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 9/40 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 9/40 (pow.f64 x 2)))) 1)))) (#(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 9/40 (pow.f64 x 2)) (/.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 9/40 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9/40 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.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 9/40 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 9/40 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 9/40 (pow.f64 x 2)))) 1)))) (#(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 9/40 (pow.f64 x 2)) (/.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 9/40 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 9/40 (pow.f64 x 2))))))))

simplify152.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1690×	`rational.json-simplify-47`
928×	`rational.json-simplify-54`
712×	`rational.json-simplify-1`
702×	`rational.json-simplify-111`
702×	`rational.json-simplify-104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	117
1	47	117
2	117	117
3	344	117
4	1339	117
5	3315	117
6	6305	117

Stop Event

1×	node limit

Counts

9 → 10

Calls

Call 1

Inputs
(+.f64 (*.f64 9/40 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 9/40 (pow.f64 x 2)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 0)
(-.f64 0 (neg.f64 (*.f64 9/40 (pow.f64 x 2))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 9/40 (pow.f64 x 2)))) 1)
(/.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(/.f64 (.f64 9/40 (pow.f64 x 2)) (/.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 9/40 (pow.f64 x 2))))
(pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(neg.f64 (neg.f64 (*.f64 9/40 (pow.f64 x 2))))

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 9/40 (pow.f64 x 2)) 0)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 0 (neg.f64 (*.f64 9/40 (pow.f64 x 2))))
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 9/40 (pow.f64 x 2)))) 1)
(*.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 9/40 (pow.f64 x 2)) (/.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 9/40 (pow.f64 x 2))))
(*.f64 9/40 (pow.f64 x 2))
(pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(*.f64 9/40 (pow.f64 x 2))
(neg.f64 (neg.f64 (*.f64 9/40 (pow.f64 x 2))))
(*.f64 9/40 (pow.f64 x 2))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 x (tan.f64 x)))
	1.7b	(-.f64 x (tan.f64 x))

Compiler

Compiled 14 to 4 computations (71.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	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)))

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`rational.json-5`
1604×	`exponential.json-3`
1604×	`rational.json-1`
1604×	`rational.json-2`
1604×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	62	17
2	233	17
3	834	17
4	3168	17

Stop Event

1×	node limit

Counts

1 → 15

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

simplify184.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1312×	`rational.json-simplify-111`
830×	`rational.json-simplify-1`
690×	`rational.json-simplify-55`
664×	`rational.json-simplify-47`
554×	`rational.json-simplify-104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	789
1	138	789
2	244	789
3	765	789
4	3389	789
5	7122	789

Stop Event

1×	node limit

Counts

27 → 34

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 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(-.f64 0 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x))))
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(neg.f64 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))))

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
	0.3b	(*.f64 9/40 (pow.f64 x 2))
✓	15.3b	(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))

Compiler

Compiled 47 to 38 computations (19.1% saved)

series2.0ms (0%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
0.0ms	x	@	inf	(*.f64 -27/2800 (pow.f64 x 4))
0.0ms	x	@	0	(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
0.0ms	x	@	0	(*.f64 -27/2800 (pow.f64 x 4))
0.0ms	x	@	-inf	(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`rational.json-5`
1868×	`exponential.json-3`
1868×	`rational.json-1`
1868×	`rational.json-2`
1868×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	97	44
2	272	44
3	952	44
4	3706	44

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) (/.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))) (/.f64 1 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))) (*.f64 (/.f64 1 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))) (*.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))) (*.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))) (*.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) (/.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -27/2800 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -27/2800 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -27/2800 (pow.f64 x 4)) (/.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)))))

simplify142.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational.json-simplify-47`
1100×	`rational.json-simplify-49`
948×	`rational.json-simplify-2`
800×	`rational.json-simplify-111`
780×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	551
1	70	551
2	247	551
3	1341	551
4	5380	551

Stop Event

1×	node limit

Counts

23 → 21

Calls

Call 1

Inputs
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 0)
(.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (/.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))))
(.f64 1 (+.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))
(.f64 (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (/.f64 1 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))))
(.f64 (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (.f64 (/.f64 1 (+.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))) 1))
(.f64 (/.f64 1 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))))
(.f64 (.f64 (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))))
(/.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1)
(/.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (/.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))))
(pow.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 -27/2800 (pow.f64 x 4)))
(-.f64 (*.f64 -27/2800 (pow.f64 x 4)) 0)
(/.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(/.f64 (.f64 -27/2800 (pow.f64 x 4)) (/.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 -27/2800 (pow.f64 x 4))))
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)

Outputs
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 0)
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (/.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 1 (+.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (/.f64 1 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (.f64 (/.f64 1 (+.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))) 1))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (.f64 (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1)
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (/.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(pow.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1)
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 0)
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 0 (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(-.f64 (*.f64 -27/2800 (pow.f64 x 4)) 0)
(*.f64 -27/2800 (pow.f64 x 4))
(/.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(*.f64 -27/2800 (pow.f64 x 4))
(/.f64 (.f64 -27/2800 (pow.f64 x 4)) (/.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(*.f64 -27/2800 (pow.f64 x 4))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x (sin.f64 x)) (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))
✓	0.2b	(-.f64 1 (tan.f64 x))
	1.7b	(-.f64 x (sin.f64 x))
✓	2.0b	(+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x)))

Compiler

Compiled 45 to 22 computations (51.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite126.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`rational.json-simplify-47`
732×	`rational.json-simplify-1`
700×	`rational.json-5`
698×	`exponential.json-3`
698×	`rational.json-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	122	73
2	399	73
3	1475	73
4	5841	49

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1802×	`rational.json-simplify-49`
1168×	`rational.json-simplify-50`
1036×	`rational.json-simplify-54`
938×	`rational.json-simplify-43`
742×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	2489
1	491	2351
2	1033	2345
3	3757	2337

Stop Event

1×	node limit

Counts

105 → 125

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 -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
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.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 (.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)))))
(-.f64 -1 (-.f64 -1 (-.f64 x (tan.f64 x))))
(-.f64 -1 (+.f64 (neg.f64 x) (+.f64 -1 (tan.f64 x))))
(-.f64 x (tan.f64 x))
(-.f64 x (+.f64 1 (+.f64 -1 (tan.f64 x))))
(-.f64 (+.f64 -1 x) (+.f64 -1 (tan.f64 x)))
(-.f64 1 (-.f64 (tan.f64 x) (+.f64 -1 x)))
(-.f64 1 (+.f64 (tan.f64 x) (-.f64 1 x)))
(-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x))
(-.f64 (-.f64 x (tan.f64 x)) 0)
(-.f64 0 (-.f64 (tan.f64 x) x))
(-.f64 0 (+.f64 (-.f64 1 x) (+.f64 -1 (tan.f64 x))))
(-.f64 0 (+.f64 (+.f64 -1 (tan.f64 x)) (-.f64 1 x)))
(-.f64 (neg.f64 (tan.f64 x)) (neg.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (+.f64 -1 (-.f64 1 x)))
(-.f64 (+.f64 x 1) (+.f64 2 (+.f64 -1 (tan.f64 x))))
(-.f64 -2 (+.f64 (-.f64 -1 x) (+.f64 -1 (tan.f64 x))))
(-.f64 (+.f64 -1 (-.f64 1 (tan.f64 x))) (neg.f64 x))
(-.f64 (-.f64 (-.f64 x (tan.f64 x)) -1) 1)
(-.f64 (+.f64 x (-.f64 1 (tan.f64 x))) 1)
(-.f64 (-.f64 (+.f64 x 1) (+.f64 -1 (tan.f64 x))) 2)
(-.f64 (-.f64 -2 (+.f64 -1 (tan.f64 x))) (-.f64 -1 x))
(-.f64 (-.f64 (neg.f64 (tan.f64 x)) (-.f64 1 x)) -1)
(-.f64 (-.f64 (+.f64 -1 x) (tan.f64 x)) -1)
(-.f64 (-.f64 0 (-.f64 (tan.f64 x) 2)) (-.f64 2 x))
(-.f64 (-.f64 (+.f64 -1 x) (-.f64 (tan.f64 x) 2)) 1)
(-.f64 (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 -1 x)) 2)
(-.f64 (-.f64 (-.f64 1 (tan.f64 x)) 2) (-.f64 -1 x))
(*.f64 1 (-.f64 x (tan.f64 x)))
(*.f64 (-.f64 x (tan.f64 x)) 1)
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 1 (-.f64 x (tan.f64 x))))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) 1))
(.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(.f64 (.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))) (/.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (*.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (tan.f64 x)) 1)
(/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(pow.f64 (-.f64 x (tan.f64 x)) 1)
(neg.f64 (-.f64 (tan.f64 x) x))
(+.f64 1 (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 1 (tan.f64 x)) 0)
(+.f64 0 (-.f64 1 (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) 1)
(*.f64 1 (-.f64 1 (tan.f64 x)))
(*.f64 (-.f64 1 (tan.f64 x)) 1)
(*.f64 (-.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 (tan.f64 x))))
(*.f64 (+.f64 -1 (tan.f64 x)) -1)
(.f64 (.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1 (tan.f64 x))) (/.f64 1 (-.f64 1 (tan.f64 x))))
(.f64 (.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1 (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (tan.f64 x))) 1))
(.f64 (/.f64 1 (-.f64 1 (tan.f64 x))) (.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1 (tan.f64 x))))
(.f64 (.f64 (-.f64 1 (tan.f64 x)) (.f64 (-.f64 1 (tan.f64 x)) (.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1 (tan.f64 x))))) (/.f64 (/.f64 1 (-.f64 1 (tan.f64 x))) (*.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1 (tan.f64 x)))))
(/.f64 (-.f64 1 (tan.f64 x)) 1)
(/.f64 (-.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 (tan.f64 x))))
(/.f64 (+.f64 -1 (tan.f64 x)) -1)
(pow.f64 (-.f64 1 (tan.f64 x)) 1)
(neg.f64 (+.f64 -1 (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 x (tan.f64 x))))
(-.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(-.f64 (-.f64 0 (-.f64 -1 (/.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)) (-.f64 x (tan.f64 x))) 1)
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (/.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 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.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 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) (.f64 (/.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 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))) (/.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.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)
(neg.f64 (neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 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 -62/2835 (pow.f64 x 9)) (+.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 -2/15 (pow.f64 x 5)) (.f64 -62/2835 (pow.f64 x 9)))))
(+.f64 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5))) (+.f64 (.f64 -62/2835 (pow.f64 x 9)) (.f64 -17/315 (pow.f64 x 7))))
(+.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 (.f64 -2/15 (pow.f64 x 5)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -62/2835 (pow.f64 x 9)))))
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
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 -1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (-.f64 1 x))
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -2/15 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5))) (-.f64 1 x))
(+.f64 (.f64 -2/15 (pow.f64 x 5)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (-.f64 1 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 1 (/.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 (.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 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (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 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 x (cos.f64 x)))))
(-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (.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 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 -1 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (neg.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))))
(-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (neg.f64 (-.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 (+.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))))
(-.f64 (+.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 (.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (/.f64 (.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))) 1)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 (+.f64 1 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 -1 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (/.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (+.f64 (/.f64 (.f64 (neg.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (.f64 (sin.f64 x) (neg.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
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) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2))))))
(+.f64 1 (.f64 -1 (+.f64 (/.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 (-.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) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2))))))
(+.f64 1 (neg.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.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 (.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) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (.f64 -1 (+.f64 (/.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 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (.f64 -1 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.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) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))))
(-.f64 -1 (-.f64 -1 (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(-.f64 -1 (+.f64 (neg.f64 x) (+.f64 -1 (tan.f64 x))))
(-.f64 x (tan.f64 x))
(-.f64 x (tan.f64 x))
(-.f64 x (+.f64 1 (+.f64 -1 (tan.f64 x))))
(-.f64 x (tan.f64 x))
(-.f64 (+.f64 -1 x) (+.f64 -1 (tan.f64 x)))
(-.f64 x (tan.f64 x))
(-.f64 1 (-.f64 (tan.f64 x) (+.f64 -1 x)))
(-.f64 x (tan.f64 x))
(-.f64 1 (+.f64 (tan.f64 x) (-.f64 1 x)))
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x))
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 x (tan.f64 x)) 0)
(-.f64 x (tan.f64 x))
(-.f64 0 (-.f64 (tan.f64 x) x))
(-.f64 x (tan.f64 x))
(-.f64 0 (+.f64 (-.f64 1 x) (+.f64 -1 (tan.f64 x))))
(-.f64 x (tan.f64 x))
(-.f64 0 (+.f64 (+.f64 -1 (tan.f64 x)) (-.f64 1 x)))
(-.f64 x (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (neg.f64 x))
(-.f64 x (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (+.f64 -1 (-.f64 1 x)))
(-.f64 x (tan.f64 x))
(-.f64 (+.f64 x 1) (+.f64 2 (+.f64 -1 (tan.f64 x))))
(-.f64 x (tan.f64 x))
(-.f64 -2 (+.f64 (-.f64 -1 x) (+.f64 -1 (tan.f64 x))))
(-.f64 x (tan.f64 x))
(-.f64 (+.f64 -1 (-.f64 1 (tan.f64 x))) (neg.f64 x))
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 (-.f64 x (tan.f64 x)) -1) 1)
(-.f64 x (tan.f64 x))
(-.f64 (+.f64 x (-.f64 1 (tan.f64 x))) 1)
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 (+.f64 x 1) (+.f64 -1 (tan.f64 x))) 2)
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 -2 (+.f64 -1 (tan.f64 x))) (-.f64 -1 x))
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 (neg.f64 (tan.f64 x)) (-.f64 1 x)) -1)
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 (+.f64 -1 x) (tan.f64 x)) -1)
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 0 (-.f64 (tan.f64 x) 2)) (-.f64 2 x))
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 (+.f64 -1 x) (-.f64 (tan.f64 x) 2)) 1)
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 -1 x)) 2)
(-.f64 x (tan.f64 x))
(-.f64 (-.f64 (-.f64 1 (tan.f64 x)) 2) (-.f64 -1 x))
(-.f64 x (tan.f64 x))
(*.f64 1 (-.f64 x (tan.f64 x)))
(-.f64 x (tan.f64 x))
(*.f64 (-.f64 x (tan.f64 x)) 1)
(-.f64 x (tan.f64 x))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 1 (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) 1))
(-.f64 x (tan.f64 x))
(.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(.f64 (.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))) (/.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (*.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))))
(-.f64 x (tan.f64 x))
(/.f64 (-.f64 x (tan.f64 x)) 1)
(-.f64 x (tan.f64 x))
(/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(pow.f64 (-.f64 x (tan.f64 x)) 1)
(-.f64 x (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 x) x))
(-.f64 x (tan.f64 x))
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(+.f64 (-.f64 1 (tan.f64 x)) 0)
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(+.f64 0 (-.f64 1 (tan.f64 x)))
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) 1)
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(*.f64 1 (-.f64 1 (tan.f64 x)))
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(*.f64 (-.f64 1 (tan.f64 x)) 1)
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(*.f64 (-.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 (tan.f64 x))))
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(*.f64 (+.f64 -1 (tan.f64 x)) -1)
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(.f64 (.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1 (tan.f64 x))) (/.f64 1 (-.f64 1 (tan.f64 x))))
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(.f64 (.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1 (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (tan.f64 x))) 1))
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(.f64 (/.f64 1 (-.f64 1 (tan.f64 x))) (.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1 (tan.f64 x))))
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(.f64 (.f64 (-.f64 1 (tan.f64 x)) (.f64 (-.f64 1 (tan.f64 x)) (.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1 (tan.f64 x))))) (/.f64 (/.f64 1 (-.f64 1 (tan.f64 x))) (*.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1 (tan.f64 x)))))
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(/.f64 (-.f64 1 (tan.f64 x)) 1)
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(/.f64 (-.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 (tan.f64 x))))
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(/.f64 (+.f64 -1 (tan.f64 x)) -1)
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(pow.f64 (-.f64 1 (tan.f64 x)) 1)
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(neg.f64 (+.f64 -1 (tan.f64 x)))
(+.f64 1 (neg.f64 (tan.f64 x)))
(-.f64 1 (tan.f64 x))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 0)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(+.f64 0 (/.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)) (-.f64 x (tan.f64 x))) 0)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 0 (neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 (-.f64 0 (-.f64 -1 (/.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)) (-.f64 x (tan.f64 x))) 1)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.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 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.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 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 1))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) (.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.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 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))) (/.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (-.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 (neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 27/112000 (pow.f64 x 6))
	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
	0.3b	(*.f64 9/40 (pow.f64 x 2))
✓	18.3b	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))

Compiler

Compiled 80 to 65 computations (18.8% saved)

series1.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
0.0ms	x	@	0	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
0.0ms	x	@	inf	(*.f64 27/112000 (pow.f64 x 6))
0.0ms	x	@	0	(*.f64 27/112000 (pow.f64 x 6))
0.0ms	x	@	-inf	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`rational.json-5`
1868×	`exponential.json-3`
1868×	`rational.json-1`
1868×	`rational.json-2`
1868×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	97	44
2	273	44
3	959	44
4	3713	44

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(*.f64 27/112000 (pow.f64 x 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (/.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) (/.f64 1 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) (*.f64 (/.f64 1 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) (*.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) (*.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))))) (/.f64 (/.f64 1 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) (*.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (/.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 27/112000 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 27/112000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 27/112000 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 27/112000 (pow.f64 x 6)) (/.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)))))

simplify145.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational.json-simplify-47`
1106×	`rational.json-simplify-49`
948×	`rational.json-simplify-2`
800×	`rational.json-simplify-111`
780×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	458
1	70	458
2	247	458
3	1335	458
4	5370	458

Stop Event

1×	node limit

Counts

20 → 20

Calls

Call 1

Inputs
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) 0)
(.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1)
(.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (/.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))))
(.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))))
(.f64 (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))))
(.f64 (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) (.f64 (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1))
(.f64 (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))))
(.f64 (.f64 (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))))) (/.f64 (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))))))
(/.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) 1)
(/.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (/.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))))
(pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) 1)
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) 0)
(+.f64 0 (*.f64 27/112000 (pow.f64 x 6)))
(-.f64 (*.f64 27/112000 (pow.f64 x 6)) 0)
(/.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)
(/.f64 (.f64 27/112000 (pow.f64 x 6)) (/.f64 (.f64 27/112000 (pow.f64 x 6)) (*.f64 27/112000 (pow.f64 x 6))))
(pow.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)

Outputs
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) 0)
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1)
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (/.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(.f64 (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(.f64 (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) (.f64 (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(.f64 (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(.f64 (.f64 (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))))) (/.f64 (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))))))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(/.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) 1)
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(/.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (/.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6))) 1)
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) 0)
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 0 (*.f64 27/112000 (pow.f64 x 6)))
(*.f64 27/112000 (pow.f64 x 6))
(-.f64 (*.f64 27/112000 (pow.f64 x 6)) 0)
(*.f64 27/112000 (pow.f64 x 6))
(/.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)
(*.f64 27/112000 (pow.f64 x 6))
(/.f64 (.f64 27/112000 (pow.f64 x 6)) (/.f64 (.f64 27/112000 (pow.f64 x 6)) (*.f64 27/112000 (pow.f64 x 6))))
(*.f64 27/112000 (pow.f64 x 6))
(pow.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)
(*.f64 27/112000 (pow.f64 x 6))

eval107.0ms (0.5%)

Compiler: Compiled 6804 to 3625 computations (46.7% saved)

prune50.0ms (0.2%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	315	2	317
Fresh	0	2	2
Picked	0	1	1
Done	1	4	5
Total	316	9	325

Error

Counts

325 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	33.1b	(/.f64 x (-.f64 x (tan.f64 x)))
▶	33.2b	(/.f64 x (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))
▶	33.1b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
✓	30.7b	(-.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)
✓	30.9b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
✓	30.3b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
	32.8b	1
	30.8b	-1/2

Compiler

Compiled 88 to 69 computations (21.6% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
	0.0b	(/.f64 x (-.f64 x (tan.f64 x)))
	1.7b	(-.f64 x (tan.f64 x))

Compiler

Compiled 47 to 19 computations (59.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`rational.json-simplify-2`
950×	`rational.json-simplify-79`
586×	`rational.json-simplify-47`
554×	`rational.json-simplify-58`
540×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	123	17
2	372	17
3	1160	17
4	4337	17

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)

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

simplify236.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1110×	`rational.json-simplify-111`
962×	`rational.json-simplify-47`
766×	`rational.json-simplify-1`
722×	`rational.json-simplify-2`
558×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1027
1	180	1027
2	350	1027
3	1186	1027
4	4493	1027
5	7922	1027

Stop Event

1×	node limit

Counts

41 → 47

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 0 (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 -1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1) -1)
(+.f64 1 (+.f64 -1 (/.f64 x (-.f64 x (tan.f64 x)))))
(+.f64 (+.f64 -1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)
(+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)
(*.f64 -1 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))) -1)
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 -1 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x))))))
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (neg.f64 (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))) (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(.f64 (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (/.f64 (/.f64 -1 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x))))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(.f64 (/.f64 -1 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(.f64 (.f64 (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))))
(/.f64 x (-.f64 x (tan.f64 x)))
(/.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))) -1)
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(neg.f64 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))))

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))
	0.2b	(-.f64 1 (tan.f64 x))
	2.0b	(+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`rational.json-simplify-2`
616×	`rational.json-simplify-47`
610×	`rational.json-simplify-41`
550×	`rational.json-simplify-58`
536×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	104	29
2	328	29
3	1148	29
4	4372	17

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

simplify199.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational.json-simplify-1`
990×	`rational.json-simplify-47`
928×	`rational.json-simplify-58`
856×	`exponential.json-simplify-26`
680×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	823
1	151	823
2	272	823
3	952	823
4	3723	823
5	6176	823

Stop Event

1×	node limit

Counts

29 → 39

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 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(-.f64 0 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x))))
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(.f64 (.f64 (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(neg.f64 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))))

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

eval66.0ms (0.3%)

Compiler: Compiled 4751 to 2243 computations (52.8% saved)

prune33.0ms (0.1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	240	2	242
Fresh	0	2	2
Picked	1	0	1
Done	1	5	6
Total	242	9	251

Error

Counts

251 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
▶	33.2b	(/.f64 x (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x)))
✓	33.1b	(/.f64 x (-.f64 x (tan.f64 x)))
✓	30.7b	(-.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)
✓	30.9b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
✓	30.3b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
▶	33.1b	(+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1) -1)
	32.8b	1
	30.8b	-1/2

Compiler

Compiled 85 to 66 computations (22.4% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1) -1)
	0.0b	(/.f64 x (-.f64 x (tan.f64 x)))
	1.7b	(-.f64 x (tan.f64 x))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`rational.json-5`
1868×	`exponential.json-3`
1868×	`rational.json-1`
1868×	`rational.json-2`
1868×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	95	17
2	295	17
3	1004	17
4	3764	17

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

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

simplify231.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational.json-simplify-58`
916×	`rational.json-simplify-47`
728×	`rational.json-simplify-111`
648×	`rational.json-simplify-49`
640×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	789
1	130	789
2	285	789
3	1036	789
4	3704	789
5	6544	789

Stop Event

1×	node limit

Counts

27 → 35

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x)))
	0.2b	(-.f64 1 (tan.f64 x))
✓	2.0b	(-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x))

Compiler

Compiled 30 to 18 computations (40% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite113.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`rational.json-simplify-2`
560×	`rational.json-simplify-1`
558×	`rational.json-simplify-47`
540×	`rational.json-5`
538×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	91	28
2	332	28
3	1184	28
4	4428	28

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

simplify175.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1800×	`rational.json-simplify-47`
1102×	`rational.json-simplify-41`
1022×	`rational.json-simplify-1`
764×	`rational.json-simplify-2`
716×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1671
1	303	1659
2	661	1653
3	1742	1581
4	5858	1581

Stop Event

1×	node limit

Counts

75 → 91

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 -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)
(/.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 1 (+.f64 (-.f64 -1 (tan.f64 x)) x))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 x -1))
(+.f64 (-.f64 x (tan.f64 x)) 0)
(+.f64 0 (-.f64 x (tan.f64 x)))
(+.f64 (+.f64 x -1) (-.f64 1 (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) x)
(+.f64 (-.f64 2 (tan.f64 x)) (-.f64 x 2))
(+.f64 (+.f64 x (-.f64 1 (tan.f64 x))) -1)
(+.f64 (+.f64 1 x) (-.f64 -1 (tan.f64 x)))
(+.f64 (+.f64 (-.f64 -1 (tan.f64 x)) x) 1)
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 1 x))
(+.f64 (-.f64 x 2) (-.f64 2 (tan.f64 x)))
(+.f64 (-.f64 x (+.f64 (tan.f64 x) -1)) -1)
(+.f64 (-.f64 -1 (+.f64 (tan.f64 x) (-.f64 1 x))) 2)
(*.f64 1 (-.f64 x (tan.f64 x)))
(*.f64 (-.f64 x (tan.f64 x)) 1)
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (-.f64 x (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) x) -1)
(.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 1 (-.f64 x (tan.f64 x))))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (-.f64 x (tan.f64 x))))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 -1 (-.f64 (tan.f64 x) x)))
(*.f64 -1 (-.f64 (tan.f64 x) x))
(*.f64 (neg.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))) (-.f64 (tan.f64 x) x))
(.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))) (/.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (*.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))) (.f64 (-.f64 x (tan.f64 x)) (.f64 (*.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))))
(.f64 (.f64 (.f64 (-.f64 x (tan.f64 x)) (.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))) (.f64 (-.f64 x (tan.f64 x)) (.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x)))) (/.f64 (/.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))) (.f64 (-.f64 x (tan.f64 x)) (.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 x (tan.f64 x)) 1)
(/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(/.f64 (-.f64 (tan.f64 x) x) -1)
(pow.f64 (-.f64 x (tan.f64 x)) 1)
(neg.f64 (-.f64 (tan.f64 x) x))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(+.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(-.f64 0 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x))))
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(.f64 (.f64 (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(neg.f64 (neg.f64 (/.f64 x (-.f64 x (tan.f64 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 -62/2835 (pow.f64 x 9)) (+.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 -2/15 (pow.f64 x 5)) (.f64 -62/2835 (pow.f64 x 9)))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 -2/15 (pow.f64 x 5)) (.f64 -17/315 (pow.f64 x 7))) (.f64 -62/2835 (pow.f64 x 9))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -62/2835 (pow.f64 x 9)) (+.f64 (.f64 -2/15 (pow.f64 x 5)) (.f64 -17/315 (pow.f64 x 7)))))
(+.f64 (.f64 -2/15 (pow.f64 x 5)) (+.f64 (.f64 -62/2835 (pow.f64 x 9)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -17/315 (pow.f64 x 7)))))
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))))
(/.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 6/5 (.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 (.f64 2/7875 (pow.f64 x 4)) (.f64 (pow.f64 x 2) 1/175))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/175) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6/5 (+.f64 (.f64 (pow.f64 x 2) 1/175) (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (+.f64 6/5 (.f64 (pow.f64 x 2) 1/175)) (.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 1 (/.f64 (sin.f64 x) (*.f64 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 (+.f64 1 (/.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 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (cos.f64 x)) 2))))
(+.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 1 (+.f64 (+.f64 (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (cos.f64 x)) 2)) (+.f64 (/.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 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 x (cos.f64 x)) 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2)))))
(+.f64 1 (+.f64 (/.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) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 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 (+.f64 1 (/.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 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (cos.f64 x)) 2))))
(+.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 1 (+.f64 (+.f64 (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (cos.f64 x)) 2)) (+.f64 (/.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 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 x (cos.f64 x)) 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 x (cos.f64 x)) 2)))))
(+.f64 1 (+.f64 (/.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) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))))
(+.f64 1 (+.f64 (-.f64 -1 (tan.f64 x)) x))
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 x 1))
(+.f64 x (+.f64 1 (-.f64 -1 (tan.f64 x))))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 x 1))
(+.f64 x (+.f64 1 (-.f64 -1 (tan.f64 x))))
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 x -1))
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 x 1))
(+.f64 x (+.f64 1 (-.f64 -1 (tan.f64 x))))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 x (tan.f64 x)) 0)
(-.f64 x (tan.f64 x))
(+.f64 0 (-.f64 x (tan.f64 x)))
(-.f64 x (tan.f64 x))
(+.f64 (+.f64 x -1) (-.f64 1 (tan.f64 x)))
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 x 1))
(+.f64 x (+.f64 1 (-.f64 -1 (tan.f64 x))))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) x)
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 x 1))
(+.f64 x (+.f64 1 (-.f64 -1 (tan.f64 x))))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 2 (tan.f64 x)) (-.f64 x 2))
(+.f64 (+.f64 x (-.f64 1 (tan.f64 x))) -1)
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 x 1))
(+.f64 x (+.f64 1 (-.f64 -1 (tan.f64 x))))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (+.f64 1 x) (-.f64 -1 (tan.f64 x)))
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 x 1))
(+.f64 x (+.f64 1 (-.f64 -1 (tan.f64 x))))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (+.f64 (-.f64 -1 (tan.f64 x)) x) 1)
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 x 1))
(+.f64 x (+.f64 1 (-.f64 -1 (tan.f64 x))))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 1 x))
(+.f64 (-.f64 -1 (tan.f64 x)) (+.f64 x 1))
(+.f64 x (+.f64 1 (-.f64 -1 (tan.f64 x))))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 x 2) (-.f64 2 (tan.f64 x)))
(+.f64 (-.f64 2 (tan.f64 x)) (-.f64 x 2))
(+.f64 (-.f64 x (+.f64 (tan.f64 x) -1)) -1)
(-.f64 x (tan.f64 x))
(+.f64 (-.f64 -1 (+.f64 (tan.f64 x) (-.f64 1 x))) 2)
(+.f64 2 (-.f64 -1 (+.f64 (tan.f64 x) (-.f64 1 x))))
(+.f64 2 (-.f64 (-.f64 x 2) (tan.f64 x)))
(+.f64 2 (-.f64 x (-.f64 (tan.f64 x) -2)))
(*.f64 1 (-.f64 x (tan.f64 x)))
(-.f64 x (tan.f64 x))
(*.f64 (-.f64 x (tan.f64 x)) 1)
(-.f64 x (tan.f64 x))
(*.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(*.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (-.f64 x (tan.f64 x)))
(-.f64 x (tan.f64 x))
(*.f64 (-.f64 (tan.f64 x) x) -1)
(-.f64 x (tan.f64 x))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 1 (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 -1 (-.f64 (tan.f64 x) x)))
(-.f64 x (tan.f64 x))
(*.f64 -1 (-.f64 (tan.f64 x) x))
(-.f64 x (tan.f64 x))
(*.f64 (neg.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))) (-.f64 (tan.f64 x) x))
(-.f64 x (tan.f64 x))
(.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(.f64 (.f64 (-.f64 x (tan.f64 x)) (.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))) (/.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (*.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))))
(-.f64 x (tan.f64 x))
(.f64 (/.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))) (.f64 (-.f64 x (tan.f64 x)) (.f64 (*.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))))
(-.f64 x (tan.f64 x))
(.f64 (.f64 (.f64 (-.f64 x (tan.f64 x)) (.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))) (.f64 (-.f64 x (tan.f64 x)) (.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x)))) (/.f64 (/.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x)))) (.f64 (-.f64 x (tan.f64 x)) (.f64 (.f64 (-.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x)))))
(-.f64 x (tan.f64 x))
(/.f64 (-.f64 x (tan.f64 x)) 1)
(-.f64 x (tan.f64 x))
(/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(/.f64 (-.f64 (tan.f64 x) x) -1)
(-.f64 x (tan.f64 x))
(pow.f64 (-.f64 x (tan.f64 x)) 1)
(-.f64 x (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 x) x))
(-.f64 x (tan.f64 x))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 0 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 (/.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))))
(/.f64 x (-.f64 x (tan.f64 x)))
(.f64 (.f64 (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))) (.f64 (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))) (.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x)))))))
(/.f64 x (-.f64 x (tan.f64 x)))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (neg.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))

eval63.0ms (0.3%)

Compiler: Compiled 4337 to 2050 computations (52.7% saved)

prune33.0ms (0.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	2	2
Picked	0	1	1
Done	0	6	6
Total	231	9	240

Error

Counts

240 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	33.2b	(/.f64 x (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x)))
✓	33.1b	(/.f64 x (-.f64 x (tan.f64 x)))
✓	30.7b	(-.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)
✓	30.9b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
✓	30.3b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓	33.1b	(+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1) -1)
	32.8b	1
	30.8b	-1/2

Compiler

Compiled 85 to 66 computations (22.4% saved)

regimes28.0ms (0.1%)

Counts

12 → 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 (/.f64 x (-.f64 x (tan.f64 x))) 1) -1)
(/.f64 x (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x)))
(/.f64 x (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))
(-.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)

Outputs

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

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

Calls

2 calls:

20.0ms	x
5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0b	3	`x`
0.5b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 126 to 78 computations (38.1% saved)

bsearch56.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.9174559417372104e-7	196.76890617213488
28.0ms	-930491737.7129602	-0.012204710177881046

Results

49.0ms

304×

body

256

valid

Compiler

Compiled 672 to 534 computations (20.5% saved)

regimes26.0ms (0.1%)

Counts

11 → 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 (/.f64 x (-.f64 x (tan.f64 x))) 1) -1)
(/.f64 x (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x)))
(/.f64 x (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))

Outputs

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

(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)

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

Calls

2 calls:

19.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.5b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 107 to 62 computations (42.1% saved)

bsearch62.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	1.9174559417372104e-7	196.76890617213488
32.0ms	-930491737.7129602	-0.012204710177881046

Results

55.0ms

304×

body

256

valid

Compiler

Compiled 558 to 439 computations (21.3% saved)

regimes24.0ms (0.1%)

Counts

10 → 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 (/.f64 x (-.f64 x (tan.f64 x))) 1) -1)
(/.f64 x (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x)))
(/.f64 x (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Calls

2 calls:

17.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.5b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 93 to 56 computations (39.8% saved)

bsearch56.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	1.9174559417372104e-7	196.76890617213488
30.0ms	-930491737.7129602	-0.012204710177881046

Results

50.0ms

304×

body

256

valid

Compiler

Compiled 508 to 389 computations (23.4% saved)

regimes23.0ms (0.1%)

Counts

9 → 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 (/.f64 x (-.f64 x (tan.f64 x))) 1) -1)
(/.f64 x (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x)))
(/.f64 x (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
(/.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:

16.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.5b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 80 to 45 computations (43.8% saved)

bsearch51.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.9174559417372104e-7	196.76890617213488
25.0ms	-0.012204710177881046	-1.8525319687994176e-7

Results

46.0ms

288×

body

256

valid

Compiler

Compiled 374 to 279 computations (25.4% saved)

regimes18.0ms (0.1%)

Counts

8 → 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 (/.f64 x (-.f64 x (tan.f64 x))) 1) -1)
(/.f64 x (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 x)))
(/.f64 x (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))) 1)

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 61 to 36 computations (41% saved)

bsearch169.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
95.0ms	1.9174559417372104e-7	196.76890617213488
74.0ms	-930491737.7129602	-0.012204710177881046

Results

155.0ms

304×

body

256

valid

Compiler

Compiled 377 to 296 computations (21.5% saved)

regimes26.0ms (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 (/.f64 x (-.f64 x (tan.f64 x))) 1) -1)

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

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch161.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	1.9174559417372104e-7	196.76890617213488
120.0ms	-930491737.7129602	-0.012204710177881046

Results

80.0ms

304×

body

256

valid

Compiler

Compiled 287 to 236 computations (17.8% saved)

regimes59.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

58.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch141.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
96.0ms	1.9174559417372104e-7	196.76890617213488
45.0ms	-930491737.7129602	-0.012204710177881046

Results

134.0ms

304×

body

256

valid

Compiler

Compiled 173 to 141 computations (18.5% saved)

regimes19.0ms (0.1%)

Accuracy

Total -62.5b remaining (-11524.3%)

Threshold costs -62.5b (-11524.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/2
1

Outputs
1
-1/2
1

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch92.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	1.9174559417372104e-7	196.76890617213488
50.0ms	-930491737.7129602	-0.012204710177881046

Results

81.0ms

304×

body

256

valid

Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	665

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -7926335344172073/72057594037927936) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x)))) (if (<=.f64 x 3242591731706757/36028797018963968) (-.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 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -6052837899185947/144115188075855872) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x)))) (if (<=.f64 x 8070450532247929/288230376151711744) (-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -8358680908399641/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 8070450532247929/288230376151711744) (-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -1152921504606847/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 5188146770730811/1152921504606846976) (-.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 (-.f64 1 (tan.f64 x)) (-.f64 1 x))) (if (<=.f64 x 2589569785738035/1125899906842624) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -2871044762448691/1125899906842624) 1 (if (<=.f64 x 2589569785738035/1125899906842624) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 5854679515581645/4503599627370496) -1/2 (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2

Outputs
(if (<=.f64 x -7926335344172073/72057594037927936) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x)))) (if (<=.f64 x 3242591731706757/36028797018963968) (-.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 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -6052837899185947/144115188075855872) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (tan.f64 x)))) (if (<=.f64 x 8070450532247929/288230376151711744) (-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -8358680908399641/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 8070450532247929/288230376151711744) (-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -1152921504606847/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 5188146770730811/1152921504606846976) (-.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 (-.f64 1 (tan.f64 x)) (-.f64 1 x))) (if (<=.f64 x 2589569785738035/1125899906842624) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -2871044762448691/1125899906842624) 1 (if (<=.f64 x 2589569785738035/1125899906842624) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 5854679515581645/4503599627370496) -1/2 (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2

Compiler

Compiled 256 to 169 computations (34% saved)

soundness0.0ms (0%)

end275.0ms (1.2%)

Compiler: Compiled 248 to 137 computations (44.8% saved)

Details

analyze907.0ms (3.8%)

sample17.9s (75.7%)

preprocess80.0ms (0.3%)

simplify72.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0%)

series4.0ms (0%)

rewrite119.0ms (0.5%)

simplify182.0ms (0.8%)

eval37.0ms (0.2%)

prune25.0ms (0.1%)

localize8.0ms (0%)

series1.0ms (0%)

rewrite76.0ms (0.3%)

simplify152.0ms (0.6%)

localize6.0ms (0%)

series1.0ms (0%)

rewrite79.0ms (0.3%)

simplify184.0ms (0.8%)

localize19.0ms (0.1%)

series2.0ms (0%)

rewrite87.0ms (0.4%)

simplify142.0ms (0.6%)

localize18.0ms (0.1%)

series2.0ms (0%)

rewrite126.0ms (0.5%)

simplify115.0ms (0.5%)

localize34.0ms (0.1%)

series1.0ms (0%)

rewrite91.0ms (0.4%)

simplify145.0ms (0.6%)

eval107.0ms (0.5%)

prune50.0ms (0.2%)

localize15.0ms (0.1%)

series1.0ms (0%)

rewrite107.0ms (0.5%)

simplify236.0ms (1%)

localize16.0ms (0.1%)

series0.0ms (0%)

rewrite101.0ms (0.4%)

simplify199.0ms (0.8%)

eval66.0ms (0.3%)

prune33.0ms (0.1%)

localize13.0ms (0.1%)

series0.0ms (0%)

rewrite84.0ms (0.4%)

simplify231.0ms (1%)

localize15.0ms (0.1%)

series2.0ms (0%)

rewrite113.0ms (0.5%)

simplify175.0ms (0.7%)

eval63.0ms (0.3%)

prune33.0ms (0.1%)

regimes28.0ms (0.1%)

bsearch56.0ms (0.2%)

regimes26.0ms (0.1%)

bsearch62.0ms (0.3%)

regimes24.0ms (0.1%)

bsearch56.0ms (0.2%)

regimes23.0ms (0.1%)

bsearch51.0ms (0.2%)

regimes18.0ms (0.1%)

bsearch169.0ms (0.7%)

regimes26.0ms (0.1%)

bsearch161.0ms (0.7%)

regimes59.0ms (0.3%)

bsearch141.0ms (0.6%)

regimes19.0ms (0.1%)

bsearch92.0ms (0.4%)

simplify70.0ms (0.3%)

soundness0.0ms (0%)

end275.0ms (1.2%)

Profiling