Details

analyze143.0ms (0.7%)

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
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
75%	75%	25%	0%	0%	0%	0%	5
75%	75%	25%	0%	0%	0%	0%	6
78.1%	78.1%	21.9%	0%	0%	0%	0%	7
78.1%	78.1%	21.9%	0%	0%	0%	0%	8
78.1%	78.1%	21.9%	0%	0%	0%	0%	9
78.1%	78.1%	21.9%	0%	0%	0%	0%	10
78.1%	78.1%	21.9%	0%	0%	0%	0%	11
78.1%	78.1%	21.9%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample5.7s (27.1%)

Results

3.7s	2068×	body	2048	valid
628.0ms	3371×	body	256	valid
625.0ms	1599×	body	512	valid
573.0ms	1113×	body	1024	valid
151.0ms	105×	body	4096	valid

Bogosity

preprocess62.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1228×	`rational.json-simplify-1`
1210×	`rational.json-simplify-64`
908×	`rational.json-simplify-46`
738×	`trig.json-simplify-41`
432×	`trig.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	18	23
2	31	23
3	49	23
4	77	23
5	142	23
6	353	23
7	1283	23
8	3292	23
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1228×	`rational.json-simplify-1`
1210×	`rational.json-simplify-64`
908×	`rational.json-simplify-46`
738×	`trig.json-simplify-41`
432×	`trig.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	18	23
2	31	23
3	49	23
4	77	23
5	142	23
6	353	23
7	1283	23
8	3292	23

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% 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

32.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.6b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	2.2b	(-.f64 1 (cos.f64 x))
✓	16.5b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

3 → 20

Calls

9 calls:

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

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`rational.json-simplify-2`
756×	`rational.json-simplify-42`
724×	`rational.json-5`
722×	`exponential.json-3`
722×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	82	39
2	296	39
3	1221	39
4	5868	39

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

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

Outputs

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

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

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

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational.json-simplify-49`
1184×	`rational.json-simplify-2`
1134×	`rational.json-simplify-41`
1070×	`rational.json-simplify-50`
946×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	242	1465
1	542	1385
2	1558	1385
3	4293	1385

Stop Event

1×	node limit

Counts

109 → 117

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (-.f64 (-.f64 1 (cos.f64 x)) 1))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (-.f64 (-.f64 1 (cos.f64 x)) 1) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) 0)
(+.f64 (cos.f64 x) (*.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))))
(+.f64 (cos.f64 x) (*.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))) 0))
(+.f64 (cos.f64 x) (+.f64 (*.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) 0))
(+.f64 (cos.f64 x) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))) (.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))))
(+.f64 (cos.f64 x) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))) (.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(+.f64 0 (cos.f64 x))
(+.f64 (*.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))) (cos.f64 x))
(+.f64 (*.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (cos.f64 x))
(-.f64 (cos.f64 x) 0)
(-.f64 0 (neg.f64 (cos.f64 x)))
(-.f64 (.f64 (cos.f64 (-.f64 -1 x)) (cos.f64 1)) (.f64 (sin.f64 (-.f64 -1 x)) (sin.f64 1)))
(-.f64 (.f64 (cos.f64 (-.f64 -1 x)) (cos.f64 1)) (+.f64 (.f64 (sin.f64 (-.f64 -1 x)) (sin.f64 1)) 0))
(-.f64 (-.f64 (.f64 (cos.f64 (-.f64 -1 x)) (cos.f64 1)) 0) (.f64 (sin.f64 (-.f64 -1 x)) (sin.f64 1)))
(*.f64 1 (cos.f64 x))
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 0))
(*.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) -1)
(.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 1 (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 0) (/.f64 1 (cos.f64 x))))
(.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 0) (cos.f64 x)))
(*.f64 (cos.f64 0) (cos.f64 x))
(.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))
(.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (/.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))))
(.f64 (.f64 (cos.f64 0) (/.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 0) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))
(.f64 (/.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))))
(/.f64 (cos.f64 x) 1)
(/.f64 (cos.f64 x) (/.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) -1)
(/.f64 (*.f64 (cos.f64 x) 2) 2)
(/.f64 (+.f64 (cos.f64 x) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x (*.f64 (PI.f64) 2))))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (sin.f64 (-.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))) (.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (neg.f64 x) (.f64 (PI.f64) 2))))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (PI.f64) (+.f64 x (/.f64 (PI.f64) 2))))) (sin.f64 (-.f64 (-.f64 (PI.f64) (+.f64 x (/.f64 (PI.f64) 2))) (.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (cos.f64 x) (sin.f64 (+.f64 x (/.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (cos.f64 x) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 x (.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x (.f64 (PI.f64) 2))) (cos.f64 (-.f64 (.f64 (PI.f64) 2) x))) 2)
(/.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x (neg.f64 (*.f64 (PI.f64) 2))))) 2)
(pow.f64 (cos.f64 x) 1)
(neg.f64 (neg.f64 (cos.f64 x)))
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) x))
(sin.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(sin.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))
(sin.f64 (-.f64 (PI.f64) (+.f64 x (/.f64 (PI.f64) 2))))
(sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (*.f64 (PI.f64) 2)))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
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(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 1 (.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 1 (+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 4) 1/24)) (*.f64 (pow.f64 x 6) -1/720)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
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(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
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(*.f64 -1 (+.f64 (cos.f64 x) -1))
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(*.f64 (+.f64 (cos.f64 x) -1) -1)
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(/.f64 (-.f64 1 (cos.f64 x)) 1)
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(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
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(/.f64 (+.f64 (cos.f64 x) -1) -1)
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(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
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(-.f64 1 (cos.f64 x))
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(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))))
(cos.f64 x)
(+.f64 (cos.f64 x) (+.f64 (*.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))) 0))
(cos.f64 x)
(+.f64 (cos.f64 x) (+.f64 (*.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) 0))
(cos.f64 x)
(+.f64 (cos.f64 x) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))))
(cos.f64 x)
(+.f64 (cos.f64 x) (+.f64 (.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))) (.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))))
(cos.f64 x)
(+.f64 (cos.f64 x) (+.f64 (.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))))
(cos.f64 x)
(+.f64 (cos.f64 x) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(cos.f64 x)
(+.f64 (cos.f64 x) (+.f64 (.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))) (.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(cos.f64 x)
(+.f64 (cos.f64 x) (+.f64 (.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(cos.f64 x)
(+.f64 0 (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 0 (cos.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))) (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 0 (cos.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (cos.f64 x))
(cos.f64 x)
(-.f64 (cos.f64 x) 0)
(cos.f64 x)
(-.f64 0 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(-.f64 (.f64 (cos.f64 (-.f64 -1 x)) (cos.f64 1)) (.f64 (sin.f64 (-.f64 -1 x)) (sin.f64 1)))
(cos.f64 x)
(-.f64 (.f64 (cos.f64 (-.f64 -1 x)) (cos.f64 1)) (+.f64 (.f64 (sin.f64 (-.f64 -1 x)) (sin.f64 1)) 0))
(cos.f64 x)
(-.f64 (-.f64 (.f64 (cos.f64 (-.f64 -1 x)) (cos.f64 1)) 0) (.f64 (sin.f64 (-.f64 -1 x)) (sin.f64 1)))
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (cos.f64 x)))
(cos.f64 x)
(*.f64 (cos.f64 x) (cos.f64 0))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))
(cos.f64 x)
(*.f64 (neg.f64 (cos.f64 x)) -1)
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 1 (cos.f64 x)))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 0) (/.f64 1 (cos.f64 x))))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 0) (cos.f64 x)))
(cos.f64 x)
(*.f64 (cos.f64 0) (cos.f64 x))
(cos.f64 x)
(.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))
(cos.f64 x)
(.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (/.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))))
(cos.f64 x)
(.f64 (.f64 (cos.f64 0) (/.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (cos.f64 x)))
(cos.f64 x)
(.f64 (/.f64 (cos.f64 0) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))
(cos.f64 x)
(.f64 (/.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))))
(cos.f64 x)
(/.f64 (cos.f64 x) 1)
(cos.f64 x)
(/.f64 (cos.f64 x) (/.f64 (cos.f64 x) (cos.f64 x)))
(cos.f64 x)
(/.f64 (neg.f64 (cos.f64 x)) -1)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) 2) 2)
(cos.f64 x)
(/.f64 (+.f64 (cos.f64 x) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 x (*.f64 (PI.f64) 2))))) 2)
(cos.f64 x)
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (sin.f64 (-.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))) (.f64 (PI.f64) 2)))) 2)
(cos.f64 x)
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (neg.f64 x) (.f64 (PI.f64) 2))))) 2)
(cos.f64 x)
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (PI.f64) (+.f64 x (/.f64 (PI.f64) 2))))) (sin.f64 (-.f64 (-.f64 (PI.f64) (+.f64 x (/.f64 (PI.f64) 2))) (.f64 (PI.f64) 2)))) 2)
(cos.f64 x)
(/.f64 (+.f64 (cos.f64 x) (sin.f64 (+.f64 x (/.f64 (PI.f64) 2)))) 2)
(cos.f64 x)
(/.f64 (+.f64 (cos.f64 x) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) 2)))) 2)
(cos.f64 x)
(/.f64 (+.f64 (cos.f64 (-.f64 x (.f64 (PI.f64) 2))) (cos.f64 (+.f64 x (.f64 (PI.f64) 2)))) 2)
(cos.f64 x)
(/.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) 2)))) 2)
(cos.f64 x)
(/.f64 (+.f64 (cos.f64 (+.f64 x (.f64 (PI.f64) 2))) (cos.f64 (-.f64 (.f64 (PI.f64) 2) x))) 2)
(cos.f64 x)
(/.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x (neg.f64 (*.f64 (PI.f64) 2))))) 2)
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(neg.f64 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) x))
(cos.f64 x)
(sin.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(cos.f64 x)
(sin.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))
(cos.f64 x)
(sin.f64 (-.f64 (PI.f64) (+.f64 x (/.f64 (PI.f64) 2))))
(cos.f64 x)
(sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) x) (*.f64 (PI.f64) 2)))
(cos.f64 x)

eval35.0ms (0.2%)

Compiler: Compiled 2060 to 1200 computations (41.7% saved)

prune26.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	108	9	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	10	118

Error

0.3b

Counts

118 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.6b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))) (*.f64 x x))
✓	32.6b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶	49.0b	(/.f64 (-.f64 1 1) (*.f64 x x))
	33.1b	(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (.f64 x x))
	33.1b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
▶	30.2b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
	30.4b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
▶	59.2b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
▶	53.2b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
	29.6b	1/2

Compiler

Compiled 417 to 254 computations (39.1% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 -1/24 (pow.f64 x 2))
✓	0.3b	(*.f64 1/720 (pow.f64 x 4))
✓	11.0b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))

Compiler

Compiled 43 to 35 computations (18.6% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
0.0ms	x	@	0	(*.f64 1/720 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 -1/24 (pow.f64 x 2))
0.0ms	x	@	0	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
0.0ms	x	@	inf	(*.f64 1/720 (pow.f64 x 4))

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`rational.json-simplify-2`
978×	`rational.json-simplify-79`
652×	`rational.json-simplify-54`
646×	`rational.json-simplify-47`
594×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	115	63
2	321	63
3	1123	63
4	4385	63

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 -1/2 (.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 2))) (.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 -1/2 (.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))) (neg.f64 (.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 -1/2 (.f64 -1/24 (pow.f64 x 2))) (.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2) (neg.f64 (.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 -1 (.f64 1/720 (pow.f64 x 4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 -3/2 (.f64 1/720 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 1/720 (pow.f64 x 4)))) (-.f64 1/2 (.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2) (-.f64 -1 (.f64 1/720 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 -1/24 (pow.f64 x 2)))) (-.f64 1/2 (.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))) (-.f64 -1 (.f64 -1/24 (pow.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -3/2 (.f64 1/720 (pow.f64 x 4)))) (-.f64 1 (.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -3/2 (.f64 1/720 (pow.f64 x 4))) (.f64 -1/24 (pow.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (/.f64 (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (-.f64 -1/2 (.f64 -1/24 (pow.f64 x 2))) (.f64 1/720 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 1/720 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/720 (pow.f64 x 4)) (/.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/720 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/24 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 -1/24 (pow.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/24 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/24 (pow.f64 x 2)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/24 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 -1/24 (pow.f64 x 2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/24 (pow.f64 x 2)) (-.f64 -1/2 (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (-.f64 (neg.f64 (*.f64 -1/24 (pow.f64 x 2))) (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/720 (pow.f64 x 4)) (-.f64 -1/2 (*.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4))) (neg.f64 (*.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 -1/2 (*.f64 -1/24 (pow.f64 x 2))) (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2) (neg.f64 (*.f64 1/720 (pow.f64 x 4))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 1/720 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/720 (pow.f64 x 4)) (/.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/720 (pow.f64 x 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/24 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/24 (pow.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/24 (pow.f64 x 2)) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 -1/24 (pow.f64 x 2))))))))

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1500×	`rational.json-simplify-49`
1480×	`rational.json-simplify-2`
1114×	`rational.json-simplify-50`
1016×	`rational.json-simplify-54`
950×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1674
1	239	1674
2	713	1674
3	3425	1674

Stop Event

1×	node limit

Counts

60 → 54

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 -1/2 (.f64 1/720 (pow.f64 x 4))))
(-.f64 1/2 (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 2))) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 -1/2 (.f64 -1/24 (pow.f64 x 2))))
(-.f64 (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))) (neg.f64 (.f64 -1/24 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 0)
(-.f64 0 (-.f64 (-.f64 -1/2 (.f64 -1/24 (pow.f64 x 2))) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) -1/2)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2) (neg.f64 (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 -1 (.f64 1/720 (pow.f64 x 4)))) 1/2)
(-.f64 (-.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 -3/2 (.f64 1/720 (pow.f64 x 4)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/720 (pow.f64 x 4)))) (-.f64 1/2 (.f64 -1/24 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2) (-.f64 -1 (.f64 1/720 (pow.f64 x 4)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (.f64 -1/24 (pow.f64 x 2)))) (-.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))) (-.f64 -1 (.f64 -1/24 (pow.f64 x 2)))) 1)
(-.f64 (-.f64 0 (-.f64 -3/2 (.f64 1/720 (pow.f64 x 4)))) (-.f64 1 (.f64 -1/24 (pow.f64 x 2))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -3/2 (.f64 1/720 (pow.f64 x 4))) (.f64 -1/24 (pow.f64 x 2)))) 1)
(.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)
(.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2))))
(.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))
(.f64 (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (/.f64 (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))
(.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))))))
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))
(pow.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)
(neg.f64 (-.f64 (-.f64 -1/2 (.f64 -1/24 (pow.f64 x 2))) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 1/720 (pow.f64 x 4)))
(-.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(-.f64 0 (neg.f64 (*.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/720 (pow.f64 x 4)))) 1)
(/.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(/.f64 (.f64 1/720 (pow.f64 x 4)) (/.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))))
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(neg.f64 (neg.f64 (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(-.f64 0 (neg.f64 (*.f64 -1/24 (pow.f64 x 2))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/24 (pow.f64 x 2)))) 1)
(/.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(/.f64 (.f64 -1/24 (pow.f64 x 2)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 2))))
(pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(neg.f64 (neg.f64 (*.f64 -1/24 (pow.f64 x 2))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 -1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 1/2 (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 2))) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 -1/2 (.f64 -1/24 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))) (neg.f64 (.f64 -1/24 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 0)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 0 (-.f64 (-.f64 -1/2 (.f64 -1/24 (pow.f64 x 2))) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) -1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2) (neg.f64 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 -1 (.f64 1/720 (pow.f64 x 4)))) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 -3/2 (.f64 1/720 (pow.f64 x 4)))) 1)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/720 (pow.f64 x 4)))) (-.f64 1/2 (.f64 -1/24 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2) (-.f64 -1 (.f64 1/720 (pow.f64 x 4)))) 1)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 -1/24 (pow.f64 x 2)))) (-.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))) (-.f64 -1 (.f64 -1/24 (pow.f64 x 2)))) 1)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 -3/2 (.f64 1/720 (pow.f64 x 4)))) (-.f64 1 (.f64 -1/24 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -3/2 (.f64 1/720 (pow.f64 x 4))) (.f64 -1/24 (pow.f64 x 2)))) 1)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (/.f64 (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2))))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)))))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(pow.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) 1/2)) 1)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(neg.f64 (-.f64 (-.f64 -1/2 (.f64 -1/24 (pow.f64 x 2))) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(*.f64 1/720 (pow.f64 x 4))
(+.f64 0 (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(*.f64 1/720 (pow.f64 x 4))
(-.f64 0 (neg.f64 (*.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/720 (pow.f64 x 4)))) 1)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (.f64 1/720 (pow.f64 x 4)) (/.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(*.f64 1/720 (pow.f64 x 4))
(neg.f64 (neg.f64 (*.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 0 (neg.f64 (*.f64 -1/24 (pow.f64 x 2))))
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/24 (pow.f64 x 2)))) 1)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (.f64 -1/24 (pow.f64 x 2)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 2))))
(*.f64 -1/24 (pow.f64 x 2))
(pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(*.f64 -1/24 (pow.f64 x 2))
(neg.f64 (neg.f64 (*.f64 -1/24 (pow.f64 x 2))))
(*.f64 -1/24 (pow.f64 x 2))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.2b	(/.f64 (-.f64 1 1) (*.f64 x x))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`rational.json-5`
1174×	`exponential.json-3`
1174×	`rational.json-1`
1174×	`rational.json-2`
1174×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	75	7
2	261	7
3	1684	7

Stop Event

1×	node limit

Counts

1 → 397

Calls

Call 1

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

Outputs

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simplify361.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1336×	`rational.json-simplify-45`
1260×	`rational.json-simplify-42`
1124×	`rational.json-simplify-2`
896×	`rational.json-simplify-54`
712×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	650	12571
1	1666	11717
2	3667	11525
3	7248	11525

Stop Event

1×	node limit

Counts

409 → 490

Calls

Call 1

Inputs
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(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))
(.f64 (/.f64 0 x) (-.f64 (.f64 x x) (+.f64 -1 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))
(.f64 (/.f64 0 x) (-.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)) -1)))
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))
(.f64 (/.f64 0 x) (+.f64 1 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(.f64 (-.f64 (.f64 x x) (-.f64 -1 (*.f64 x x))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (fabs.f64 x)) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 x (-.f64 -1 (.f64 x x))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 (+.f64 1 (.f64 (*.f64 x x) 2)) x) (/.f64 0 x))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (.f64 x x)) (/.f64 0 x))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (.f64 (*.f64 x x) 2)) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 0 x))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (-.f64 (+.f64 1 (.f64 (*.f64 x x) 2)) (+.f64 x x)) (/.f64 0 x))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (+.f64 (.f64 (.f64 x x) 2) (.f64 (*.f64 x x) 2))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) -2)))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (.f64 (.f64 x x) (.f64 (*.f64 x x) 2))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (.f64 (.f64 x x) (.f64 (*.f64 x x) 2))))
(.f64 (/.f64 0 x) (-.f64 (.f64 (.f64 x x) 2) (+.f64 -1 (.f64 (.f64 x x) (.f64 (*.f64 x x) 2)))))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (.f64 x x) (-.f64 2 (.f64 (*.f64 x x) 2)))))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (.f64 4 (.f64 (.f64 x x) (*.f64 x x)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (/.f64 0 x) (-.f64 (.f64 (.f64 x x) 2) (+.f64 -1 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (.f64 x x) (-.f64 2 (.f64 (*.f64 x x) 4)))))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 (.f64 x x) 2)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (.f64 x x) (-.f64 2 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(.f64 (-.f64 (.f64 x x) (-.f64 -1 (.f64 (.f64 x x) 2))) (/.f64 0 x))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (-.f64 (+.f64 1 (.f64 (*.f64 x x) 2)) (fabs.f64 x)) (/.f64 0 x))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (-.f64 x (-.f64 -1 (.f64 (*.f64 x x) 2))) (/.f64 0 x))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) x) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x)) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) 2)) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) 2)))
(.f64 (/.f64 0 x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 -1 (.f64 (.f64 x x) 2))))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (.f64 x x) (-.f64 (.f64 x x) 2))))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (+.f64 x x)) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x x) 2))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x x) 2))))
(.f64 (/.f64 0 x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 -1 (.f64 (.f64 x x) 4))))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4))))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) 2))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) 2))))
(.f64 (/.f64 0 x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 -1 (.f64 (.f64 x x) (.f64 (.f64 x x) 2)))))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 x x) 2)))))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 4 (.f64 (.f64 x x) (.f64 x x)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))
(.f64 (/.f64 0 x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 -1 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 0 x) (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(.f64 (-.f64 (.f64 x x) (-.f64 -1 (.f64 (.f64 x x) (*.f64 x x)))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 (+.f64 1 (.f64 (.f64 x x) (.f64 x x))) (fabs.f64 x)) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 x (-.f64 -1 (.f64 (.f64 x x) (.f64 x x)))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 1 (+.f64 (.f64 (*.f64 x x) 2) x)) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) -2)))
(*.f64 (-.f64 1 (+.f64 x (+.f64 x x))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 1 (+.f64 x (+.f64 (.f64 (.f64 x x) 2) (.f64 (*.f64 x x) 2)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (.f64 (*.f64 x x) 2))))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (*.f64 x x) 4)))
(.f64 (-.f64 1 (+.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) 2)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (.f64 (*.f64 x x) 2))))
(.f64 (-.f64 (-.f64 1 x) (.f64 4 (.f64 (.f64 x x) (*.f64 x x)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (-.f64 1 (+.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))
(*.f64 (-.f64 1 (+.f64 x (fabs.f64 x))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 1 (+.f64 x (.f64 x x))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 1 (+.f64 (.f64 x x) (.f64 (.f64 x x) 2))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) -2)))
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 1 (+.f64 (.f64 x x) (+.f64 x x))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 1 (+.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x x) 2)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (.f64 (*.f64 x x) 2))))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (*.f64 x x) 4)))
(.f64 (-.f64 1 (+.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) 2)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (.f64 (*.f64 x x) 2))))
(.f64 (-.f64 (-.f64 1 (.f64 x x)) (.f64 4 (.f64 (.f64 x x) (.f64 x x)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (-.f64 (-.f64 1 (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))
(.f64 (-.f64 1 (+.f64 (.f64 x x) (fabs.f64 x))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 (-.f64 1 (.f64 (*.f64 x x) 2)) (+.f64 x x)) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) -2)))
(.f64 (-.f64 (-.f64 1 (.f64 (.f64 x x) 2)) (+.f64 (.f64 (.f64 x x) 2) (.f64 (*.f64 x x) 2))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (+.f64 (.f64 (.f64 x x) 2) (.f64 (*.f64 x x) 2)))))
(.f64 (/.f64 0 x) (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (.f64 (*.f64 x x) 4))))
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x x) (.f64 (*.f64 x x) 2)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 (-.f64 1 (.f64 (.f64 x x) 2)) (.f64 (.f64 x x) (.f64 (*.f64 x x) 2))))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 2) 2))))
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (.f64 4 (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (+.f64 2 (.f64 (*.f64 x x) 4)))))
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (+.f64 2 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(.f64 (-.f64 1 (+.f64 (.f64 (*.f64 x x) 2) (fabs.f64 x))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) -2)))
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) x)) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (*.f64 x x) 2)))
(.f64 (/.f64 0 x) (+.f64 1 (.f64 (*.f64 x x) -2)))
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x))) (/.f64 0 x))
(/.f64 0 x)
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x x) 2)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (+.f64 (.f64 (.f64 x x) 2) (.f64 (*.f64 x x) 2))))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (*.f64 x x) 4)))
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) 2)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (.f64 (*.f64 x x) 2))))
(.f64 (-.f64 (-.f64 1 (.f64 (.f64 x x) (.f64 x x))) (.f64 4 (.f64 (.f64 x x) (.f64 x x)))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 0 x))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 0 x) (-.f64 1 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))
(.f64 (-.f64 1 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (fabs.f64 x))) (/.f64 0 x))
(/.f64 0 x)
(pow.f64 (/.f64 0 x) 1)
(/.f64 0 x)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 x) (cos.f64 x))
✓	0.2b	(.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))
✓	2.2b	(-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))))
✓	16.5b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))) (*.f64 x x))

Compiler

Compiled 55 to 21 computations (61.8% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (cos.f64 x) (cos.f64 x))
0.0ms	x	@	inf	(*.f64 (cos.f64 x) (cos.f64 x))
0.0ms	x	@	0	(*.f64 (cos.f64 x) (cos.f64 x))
0.0ms	x	@	0	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))) (*.f64 x x))
0.0ms	x	@	inf	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))) (*.f64 x x))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`rational.json-5`
1024×	`exponential.json-3`
1024×	`rational.json-1`
1024×	`rational.json-2`
1024×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	132
1	118	54
2	488	54
3	2011	54

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

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

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1704×	`rational.json-simplify-49`
1216×	`rational.json-simplify-1`
990×	`rational.json-simplify-41`
806×	`rational.json-simplify-43`
750×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	246	2084
1	545	2078
2	1344	2078
3	5865	2078

Stop Event

1×	node limit

Counts

132 → 126

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) 0)
(+.f64 (cos.f64 x) (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x))))
(+.f64 (cos.f64 x) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))))
(+.f64 0 (cos.f64 x))
(+.f64 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 x))
(-.f64 (cos.f64 x) 0)
(/.f64 (cos.f64 x) 1)
(/.f64 (cos.f64 x) (/.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) 2) 2)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(cos.f64 (neg.f64 x))
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) x))
(sin.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(sin.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))
(sin.f64 (-.f64 (PI.f64) (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))
(sin.f64 (-.f64 (neg.f64 x) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 0)
(+.f64 0 (*.f64 (cos.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 0)
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 1)
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2)
(/.f64 (-.f64 1 (cos.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) x) 2))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) 2)
(/.f64 (-.f64 1 (cos.f64 (+.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))) (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))) 2)
(/.f64 (-.f64 1 (cos.f64 (+.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))) (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (sin.f64 (+.f64 (neg.f64 x) (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))) 2)
(/.f64 (+.f64 (cos.f64 0) (sin.f64 (+.f64 x (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))) 2)
(/.f64 (+.f64 (cos.f64 0) (sin.f64 (+.f64 x (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (sin.f64 (+.f64 (neg.f64 x) (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))) 2)
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 1)
(fabs.f64 (*.f64 (cos.f64 x) (cos.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (cos.f64 x) (cos.f64 x))))
(fabs.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (cos.f64 x)))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x)))
(fabs.f64 (*.f64 (cos.f64 x) (fabs.f64 (cos.f64 x))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (cos.f64 x) (cos.f64 x)))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x))))))
(fabs.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(fabs.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x))))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x))))))
(fabs.f64 (*.f64 (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))) (cos.f64 x)))
(fabs.f64 (*.f64 (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))) (fabs.f64 (cos.f64 x))))
(fabs.f64 (*.f64 (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))) (neg.f64 (cos.f64 x))))
(fabs.f64 (*.f64 (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))) (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x))))))
(fabs.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 x))))))
(fabs.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))))))
(fabs.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 (cos.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (fabs.f64 (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))))))
(fabs.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))))
(fabs.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) 2) (*.f64 (fabs.f64 (cos.f64 x)) 2))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6))) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) 1/2)))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 1/2 (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8))) (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/24) (+.f64 (.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 6) -1/720))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1) (.f64 (pow.f64 x 4) 1/3)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1) (+.f64 (.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) -2/45))))
(+.f64 (.f64 (pow.f64 x 6) -2/45) (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (.f64 (pow.f64 x 4) 1/3))))
(+.f64 1 (+.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 1/3)) (.f64 (pow.f64 x 6) -2/45)))
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x))))
(cos.f64 x)
(+.f64 (cos.f64 x) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))))
(cos.f64 x)
(+.f64 0 (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 x))
(cos.f64 x)
(-.f64 (cos.f64 x) 0)
(cos.f64 x)
(/.f64 (cos.f64 x) 1)
(cos.f64 x)
(/.f64 (cos.f64 x) (/.f64 (cos.f64 x) (cos.f64 x)))
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) 2) 2)
(/.f64 (*.f64 2 (cos.f64 x)) 2)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(cos.f64 x)
(cos.f64 (neg.f64 x))
(cos.f64 x)
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) x))
(cos.f64 x)
(sin.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(cos.f64 x)
(sin.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))
(cos.f64 x)
(sin.f64 (-.f64 (PI.f64) (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))
(cos.f64 x)
(sin.f64 (-.f64 (neg.f64 x) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(cos.f64 x)
(+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 0)
(*.f64 (cos.f64 x) (cos.f64 x))
(+.f64 0 (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 0)
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2)
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) x) 2))) 2)
(/.f64 (-.f64 1 (cos.f64 (*.f64 2 (-.f64 (/.f64 (PI.f64) 2) x)))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) 2)
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 (+.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))) (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))) 2)
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 (+.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))) (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))) 2)
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (sin.f64 (+.f64 (neg.f64 x) (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))) 2)
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 0) (sin.f64 (+.f64 x (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))) 2)
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 0) (sin.f64 (+.f64 x (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))) 2)
(*.f64 (cos.f64 x) (cos.f64 x))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (sin.f64 (+.f64 (neg.f64 x) (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))) 2)
(*.f64 (cos.f64 x) (cos.f64 x))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (cos.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (neg.f64 (*.f64 (cos.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (cos.f64 x)))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (cos.f64 x) (fabs.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (cos.f64 x) (cos.f64 x)))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x))))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x))))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (fabs.f64 (cos.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x))))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x))))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))) (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))) (fabs.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (*.f64 (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))) (/.f64 (cos.f64 x) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x))))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 x))))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (fabs.f64 (/.f64 (cos.f64 x) (cos.f64 x)))))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 (cos.f64 x)))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (fabs.f64 (/.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x)))))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))))
(*.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) 2) (*.f64 (fabs.f64 (cos.f64 x)) 2))))
(fabs.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 (.f64 2 (cos.f64 x)) (*.f64 2 (fabs.f64 (cos.f64 x))))))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
	2.2b	(-.f64 1 (cos.f64 x))
	16.5b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓	20.2b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))

Compiler

Compiled 75 to 34 computations (54.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
0.0ms	x	@	0	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
0.0ms	x	@	0	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
0.0ms	x	@	inf	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))

rewrite174.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational.json-5`
878×	`exponential.json-3`
878×	`rational.json-1`
878×	`rational.json-2`
878×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	114
1	110	52
2	387	52
3	1549	52
4	7843	52

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))

(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))

Outputs

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

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

simplify221.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational.json-simplify-50`
1132×	`rational.json-simplify-111`
1120×	`rational.json-simplify-43`
1086×	`rational.json-simplify-54`
862×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1072
1	128	1072
2	236	1072
3	592	1072
4	3112	1072
5	7548	1072

Stop Event

1×	node limit

Counts

42 → 39

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (.f64 1/120 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(+.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 0)
(+.f64 0 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 0)
(.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1)
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) 1))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(pow.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1)

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) 1/6))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/120) (.f64 (pow.f64 x 2) 1/6)))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 4) 1/120)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/120) (*.f64 (pow.f64 x 6) 1/3024))))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/120) (+.f64 (.f64 (pow.f64 x 6) 1/3024) (*.f64 (pow.f64 x 2) 1/6))))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 6) 1/3024) (+.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 4) 1/120))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 0)
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 0 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 0)
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1)
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) 1))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(pow.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1)
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
	2.2b	(-.f64 1 (cos.f64 x))
	16.5b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓	26.0b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))

Compiler

Compiled 200 to 89 computations (55.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

(*.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))

0.0ms

(*.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))

0.0ms

inf

(*.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`rational.json-simplify-55`
1012×	`rational.json-5`
1010×	`exponential.json-3`
1010×	`rational.json-1`
1010×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	197
1	136	197
2	474	23
3	1935	23

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))

Outputs

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

simplify164.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational.json-simplify-43`
1034×	`rational.json-simplify-47`
872×	`rational.json-simplify-1`
838×	`rational.json-simplify-54`
612×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	457
1	65	457
2	118	457
3	255	457
4	694	457
5	1534	457
6	4095	457
7	7275	457

Stop Event

1×	node limit

Counts

19 → 16

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval712.0ms (3.4%)

Compiler: Compiled 47411 to 23895 computations (49.6% saved)

prune339.0ms (1.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1261	7	1268
Fresh	0	4	4
Picked	1	0	1
Done	2	3	5
Total	1264	14	1278

Error

0.3b

Counts

1278 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	32.6b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
▶	32.7b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))) (.f64 x x))
✓	32.6b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	33.1b	(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (.f64 x x))
▶	33.1b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
▶	33.1b	(/.f64 (.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 x x))
✓	30.2b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
▶	30.4b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
✓	53.2b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
	53.2b	(.f64 (/.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
▶	53.1b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
	54.6b	(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
	29.6b	1/2
	48.5b	0

Compiler

Compiled 636 to 396 computations (37.7% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 -1/24 (pow.f64 x 2))

Compiler

Compiled 20 to 16 computations (20% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))
✓	0.4b	(+.f64 1 (cos.f64 (+.f64 x x)))
✓	2.2b	(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2)))
✓	16.5b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))) (.f64 x x))

Compiler

Compiled 81 to 41 computations (49.4% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))) (.f64 x x))
1.0ms	x	@	inf	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))) (.f64 x x))
1.0ms	x	@	0	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))) (.f64 x x))
0.0ms	x	@	0	(+.f64 1 (cos.f64 (+.f64 x x)))
0.0ms	x	@	0	(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2)))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`rational.json-5`
1372×	`exponential.json-3`
1372×	`rational.json-1`
1372×	`rational.json-2`
1372×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	134
1	148	56
2	565	56
3	2501	56

Stop Event

1×	node limit

Counts

4 → 60

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))) (.f64 x x))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2)))
(+.f64 1 (cos.f64 (+.f64 x x)))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))

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

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational.json-simplify-54`
900×	`rational.json-simplify-45`
876×	`rational.json-simplify-50`
872×	`rational.json-simplify-44`
804×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	2408
1	395	2408
2	1019	2408
3	3530	2408

Stop Event

1×	node limit

Counts

108 → 115

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x))))
2
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 x))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (neg.f64 (cos.f64 (+.f64 x x))))
(-.f64 (cos.f64 (+.f64 x x)) -1)
(-.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 0)
(-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (+.f64 (.f64 (sin.f64 (neg.f64 x)) (sin.f64 (neg.f64 x))) -1))
(-.f64 0 (-.f64 -1 (cos.f64 (+.f64 x x))))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 (neg.f64 x)) (sin.f64 (neg.f64 x))))
(*.f64 1 (+.f64 1 (cos.f64 (+.f64 x x))))
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))))
(.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) 1))
(.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(pow.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(neg.f64 (-.f64 -1 (cos.f64 (+.f64 x x))))
(+.f64 (cos.f64 x) 0)
(+.f64 (cos.f64 x) (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x))))
(+.f64 (cos.f64 x) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))))
(+.f64 0 (cos.f64 x))
(+.f64 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 x))
(-.f64 (cos.f64 x) 0)
(-.f64 0 (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) 1)
(/.f64 (cos.f64 x) (/.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) 2) 2)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(cos.f64 (neg.f64 x))
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) x))
(sin.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(sin.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))
(sin.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (PI.f64) (PI.f64))))
(sin.f64 (-.f64 (PI.f64) (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x))))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x))))
2
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) -2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 2))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 2 (.f64 (pow.f64 x 4) 2/3)))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 2) -2)))
(+.f64 (+.f64 2 (.f64 (pow.f64 x 2) -2)) (.f64 (pow.f64 x 4) 2/3))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 4) 2/3)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 (+.f64 2 (.f64 (pow.f64 x 6) -4/45)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 2 (*.f64 (pow.f64 x 6) -4/45))))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 6) -4/45))))
(+.f64 2 (+.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) -4/45)) (*.f64 (pow.f64 x 2) -2)))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/24) (+.f64 (.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 6) -1/720))))
(.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (neg.f64 (.f64 -2 x)))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))
(.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x -2))) (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(-.f64 1 (neg.f64 (cos.f64 (+.f64 x x))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(-.f64 (cos.f64 (+.f64 x x)) -1)
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(-.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 0)
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (+.f64 -1 (.f64 (sin.f64 x) (sin.f64 x))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (+.f64 (.f64 (sin.f64 (neg.f64 x)) (sin.f64 (neg.f64 x))) -1))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(-.f64 0 (-.f64 -1 (cos.f64 (+.f64 x x))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x)))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 (neg.f64 x)) (sin.f64 (neg.f64 x))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(*.f64 1 (+.f64 1 (cos.f64 (+.f64 x x))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) 1))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(pow.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(neg.f64 (-.f64 -1 (cos.f64 (+.f64 x x))))
(+.f64 1 (cos.f64 (*.f64 x 2)))
(+.f64 1 (cos.f64 (*.f64 x -2)))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x))))
(cos.f64 x)
(+.f64 (cos.f64 x) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))))
(cos.f64 x)
(+.f64 0 (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x))) (cos.f64 x))
(cos.f64 x)
(-.f64 (cos.f64 x) 0)
(cos.f64 x)
(-.f64 0 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(/.f64 (cos.f64 x) 1)
(cos.f64 x)
(/.f64 (cos.f64 x) (/.f64 (cos.f64 x) (cos.f64 x)))
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) 2) 2)
(/.f64 (*.f64 2 (cos.f64 x)) 2)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(cos.f64 x)
(cos.f64 (neg.f64 x))
(cos.f64 x)
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) x))
(cos.f64 x)
(sin.f64 (-.f64 x (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(cos.f64 x)
(sin.f64 (-.f64 x (neg.f64 (/.f64 (PI.f64) 2))))
(cos.f64 x)
(sin.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) x) (-.f64 (PI.f64) (PI.f64))))
(cos.f64 x)
(sin.f64 (-.f64 (PI.f64) (-.f64 x (neg.f64 (/.f64 (PI.f64) 2)))))
(cos.f64 x)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
✓	0.2b	(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
✓	0.3b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 63 to 36 computations (42.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite143.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational.json-5`
878×	`exponential.json-3`
878×	`rational.json-1`
878×	`rational.json-2`
878×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	137
1	110	61
2	388	61
3	1558	61
4	7782	61

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs

(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))

(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))

(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))

Outputs

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

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

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational.json-simplify-54`
706×	`rational.json-simplify-41`
692×	`rational.json-simplify-104`
636×	`rational.json-simplify-47`
562×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	2165
1	372	2165
2	613	2165
3	1505	2165
4	4207	2165

Stop Event

1×	node limit

Counts

95 → 90

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x))))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (-.f64 1 (cos.f64 x))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) 2))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 0 (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(+.f64 1 (-.f64 -1 (+.f64 (cos.f64 x) -1)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 (-.f64 1 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))) (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) 1/4)
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -1/24 (pow.f64 x 6)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 -17/120960 (pow.f64 x 10)) (.f64 1/320 (pow.f64 x 8)))))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (+.f64 (.f64 1/320 (pow.f64 x 8)) (.f64 -17/120960 (pow.f64 x 10))) (.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (.f64 -17/120960 (pow.f64 x 10)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) -1)))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (+.f64 (cos.f64 x) -1)))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (+.f64 (cos.f64 x) -1)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) 2))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 0 (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (-.f64 -1 (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))) (cos.f64 x))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.2b	(-.f64 1 (cos.f64 x))
	16.5b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	20.2b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
✓	20.2b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))

Compiler

Compiled 153 to 72 computations (52.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))

0.0ms

inf

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))

0.0ms

-inf

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))

rewrite137.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`rational.json-5`
888×	`exponential.json-3`
888×	`rational.json-1`
888×	`rational.json-2`
888×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	147
1	129	23
2	454	23
3	1615	23
4	7905	23

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))

Outputs

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

simplify163.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational.json-simplify-43`
1034×	`rational.json-simplify-47`
872×	`rational.json-simplify-1`
838×	`rational.json-simplify-54`
612×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	457
1	65	457
2	118	457
3	255	457
4	694	457
5	1534	457
6	4095	457
7	7275	457

Stop Event

1×	node limit

Counts

19 → 16

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
✓	0.3b	(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
✓	0.3b	(/.f64 (.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 x x))
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 138 to 81 computations (41.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`rational.json-5`
1032×	`exponential.json-3`
1032×	`rational.json-1`
1032×	`rational.json-2`
1032×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	184
1	130	82
2	469	82
3	1862	82

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs

(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))

(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))

Outputs

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

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

simplify217.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1402×	`rational.json-simplify-2`
1296×	`rational.json-simplify-54`
724×	`rational.json-simplify-58`
632×	`rational.json-simplify-47`
624×	`rational.json-simplify-104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	2349
1	287	2349
2	517	2349
3	1327	2349
4	3786	2349
5	7182	2349

Stop Event

1×	node limit

Counts

59 → 66

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 8))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))
(+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (*.f64 1/16 (pow.f64 x 8))))
(+.f64 (.f64 -1/3024 (pow.f64 x 14)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(+.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 0)
(+.f64 0 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))
(-.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 0)
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 1)
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(pow.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 1)
(fabs.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))
(fabs.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) 2))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (-.f64 0 (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) 1/2)))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 8))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 10)))
(+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (*.f64 1/16 (pow.f64 x 8))))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (+.f64 (.f64 1/16 (pow.f64 x 8)) (*.f64 19/5760 (pow.f64 x 12))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (*.f64 -1/48 (pow.f64 x 10))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (*.f64 19/5760 (pow.f64 x 12))))
(+.f64 (.f64 -1/3024 (pow.f64 x 14)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))))
(+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 10))) (.f64 -1/3024 (pow.f64 x 14))))
(+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 10))) (+.f64 (.f64 -1/3024 (pow.f64 x 14)) (.f64 19/5760 (pow.f64 x 12))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 19/5760 (pow.f64 x 12))) (.f64 -1/3024 (pow.f64 x 14))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (.f64 -1/3024 (pow.f64 x 14)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 19/5760 (pow.f64 x 12)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
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(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (-.f64 0 (fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))

eval3.1s (14.7%)

Compiler: Compiled 41309 to 23991 computations (41.9% saved)

prune842.0ms (4%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	989	8	997
Fresh	2	4	6
Picked	1	0	1
Done	1	6	7
Total	993	18	1011

Error

0.3b

Counts

1011 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.6b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
▶	32.7b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) 2))) (.f64 x x))
✓	32.7b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))) (.f64 x x))
▶	32.6b	(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (*.f64 x x))
✓	32.6b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	33.1b	(/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
	33.1b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 x x))
	33.1b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 x x))
▶	33.1b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
▶	33.1b	(/.f64 (.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
✓	30.2b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
✓	30.4b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
✓	53.2b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
✓	53.1b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
	53.1b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (.f64 x x))))
	54.6b	(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
	29.6b	1/2
	48.5b	0

Compiler

Compiled 863 to 548 computations (36.5% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cos.f64 x) 2)
✓	0.2b	(*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))
✓	2.2b	(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
✓	16.5b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))

Compiler

Compiled 52 to 29 computations (44.2% saved)

series1.0ms (0%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
0.0ms	x	@	0	(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
0.0ms	x	@	-inf	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
0.0ms	x	@	inf	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
0.0ms	x	@	0	(*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))

rewrite261.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`rational.json-5`
864×	`exponential.json-3`
864×	`rational.json-1`
864×	`rational.json-2`
864×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	116
1	113	116
2	374	116
3	1515	116
4	7174	116

Stop Event

1×	node limit

Counts

4 → 50

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)

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

simplify270.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-44`
1122×	`rational.json-simplify-54`
1110×	`rational.json-simplify-50`
1054×	`rational.json-simplify-1`
864×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	2342
1	322	2264
2	793	2264
3	2831	2246
4	7041	2246

Stop Event

1×	node limit

Counts

90 → 96

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) 0)
(.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 x x)))
(.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 x x))) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 x x)))))
(pow.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) 1)
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (-.f64 -1 (+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) -1)))
(+.f64 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) 0)
(+.f64 0 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (-.f64 -1 (+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) -1)) 1)
(.f64 1 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) 1)
(.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))))
(.f64 (+.f64 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) -1) -1)
(.f64 (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 1 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))))
(.f64 (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 1 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) 1))
(.f64 (/.f64 1 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))))
(.f64 (.f64 (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))) (/.f64 (/.f64 1 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) 1)
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) -1) -1)
(pow.f64 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) 1)
(neg.f64 (+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) -1))
(+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) 0)
(+.f64 0 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) 0)
(/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) 1)
(/.f64 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 0) 2))
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1))
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) (pow.f64 (/.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2))
(.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) 2) (/.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2)))
(*.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/24) (+.f64 (.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 6) -1/720))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1) (.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 x 2) -1) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) -2/45)) 1))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 1/3) (.f64 (pow.f64 x 6) -2/45))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 1/3) (.f64 (pow.f64 x 6) -2/45)))
(+.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) 0)
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(-.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) 0)
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 x x)))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 x x))))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 x x))) 1))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 x x)))))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x)) 1)
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (-.f64 -1 (+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) -1)))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) 0)
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(+.f64 0 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (-.f64 -1 (+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) -1)) 1)
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(.f64 1 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) 1)
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(.f64 (+.f64 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) -1) -1)
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 1 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 1 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) 1))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(.f64 (/.f64 1 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))) (/.f64 (/.f64 1 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))) (.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) 1)
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) -1) -1)
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) 1)
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) -1))
(+.f64 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) 0)
(*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))
(+.f64 0 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) 0)
(*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) 1)
(*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))
(/.f64 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))
(pow.f64 (*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) 1)
(*.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(pow.f64 (cos.f64 x) 2)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(pow.f64 (cos.f64 x) 2)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 0) 2))
(pow.f64 (*.f64 (cos.f64 0) (cos.f64 x)) 2)
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 0)) 2)
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) (pow.f64 (/.f64 1 (cos.f64 x)) 2))
(pow.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 1 (cos.f64 x))) 2)
(pow.f64 (.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) 2)
(pow.f64 (.f64 (.f64 1 (cos.f64 x)) (/.f64 (cos.f64 x) (cos.f64 x))) 2)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (cos.f64 x))) 2)
(.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2))
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) 2) (/.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (cos.f64 x) 2))
(pow.f64 (*.f64 (cos.f64 0) (cos.f64 x)) 2)
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 0)) 2)
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)

localize164.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1) (cos.f64 x))
✓	0.4b	(+.f64 (cos.f64 (*.f64 2 x)) 1)
✓	2.2b	(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))
✓	16.5b	(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (*.f64 x x))

Compiler

Compiled 73 to 51 computations (30.1% saved)

series5.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (*.f64 x x))
1.0ms	x	@	inf	(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (*.f64 x x))
0.0ms	x	@	0	(/.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1) (cos.f64 x))
0.0ms	x	@	0	(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (*.f64 x x))
0.0ms	x	@	0	(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))

rewrite261.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`rational.json-5`
1222×	`exponential.json-3`
1222×	`rational.json-1`
1222×	`rational.json-2`
1222×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	134
1	142	134
2	475	134
3	2057	134

Stop Event

1×	node limit

Counts

4 → 59

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (*.f64 x x))
(-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x))))
(+.f64 (cos.f64 (*.f64 2 x)) 1)
(/.f64 (+.f64 (cos.f64 (*.f64 2 x)) 1) (cos.f64 x))

Outputs
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simplify267.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1408×	`rational.json-simplify-54`
1382×	`rational.json-simplify-50`
1040×	`rational.json-simplify-43`
856×	`rational.json-simplify-1`
798×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	172	2895
1	344	2889
2	768	2889
3	2897	2889
4	7353	2889

Stop Event

1×	node limit

Counts

83 → 103

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
2
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6)))))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) 0)
(.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (*.f64 x x)))
(.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (*.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (*.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (*.f64 x x))) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (*.f64 x x)))))
(pow.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) 1)
(+.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) 0)
(+.f64 0 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))
(+.f64 (-.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) -1)) 1)
(.f64 1 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))
(.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) 1)
(.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))))
(.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) -1) -1)
(.f64 (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (/.f64 1 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))))
(.f64 (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (.f64 (/.f64 1 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) 1))
(.f64 (/.f64 1 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))))
(.f64 (.f64 (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))) (/.f64 (/.f64 1 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) 1)
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) -1) -1)
(pow.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) 1)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) -1))
(-.f64 (cos.f64 (+.f64 x x)) -1)
(-.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 0)
(*.f64 1 (+.f64 1 (cos.f64 (+.f64 x x))))
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(.f64 (.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x)))) (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))))
(.f64 (.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) 1))
(.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x)))))
(.f64 (.f64 (.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x)))) (.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x))))) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x))))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(pow.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(+.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 0)
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(+.f64 0 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 0)
(*.f64 1 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))
(.f64 1/2 (.f64 2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1)
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) 2)
(*.f64 1/4 (+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1/2) (/.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1/2)))
(.f64 1/4 (/.f64 (.f64 2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) 1/2))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1/2) 1/2)
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1/4)) (/.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) (*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) 1))
(.f64 (.f64 2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) 1/2)
(.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (/.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) (*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))
(pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1)

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 x 2))) (cos.f64 x)))) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8))) (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/40320 (pow.f64 x 8))) (.f64 -1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
2
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) -2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 2))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 2 (.f64 (pow.f64 x 4) 2/3)))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 2) -2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 2 (+.f64 (.f64 (pow.f64 x 6) -4/45) (*.f64 (pow.f64 x 2) -2))))
(+.f64 2 (+.f64 (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 2 (+.f64 (.f64 (pow.f64 x 6) -4/45) (*.f64 (pow.f64 x 4) 2/3))))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) -4/45))))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) -1))
(+.f64 2 (neg.f64 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1) (.f64 (pow.f64 x 4) 1/12)))
(+.f64 2 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/12)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 2 (*.f64 (pow.f64 x 4) 1/12)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1) (+.f64 (.f64 (pow.f64 x 4) 1/12) (*.f64 (pow.f64 x 6) -1/360))))
(+.f64 2 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 1/12) (.f64 (pow.f64 x 6) -1/360))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 1/12) (+.f64 2 (.f64 (pow.f64 x 6) -1/360))))
(+.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) 0)
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(-.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) 0)
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (*.f64 x x)))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (*.f64 x x))))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (*.f64 x x))) 1))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (*.f64 x x)))))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x)) 1)
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (.f64 x x))
(+.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) 0)
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(+.f64 0 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) -1)) 1)
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 1 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) 1)
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) -1) -1)
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (/.f64 1 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (.f64 (/.f64 1 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) 1))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(.f64 (.f64 (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))) (/.f64 (/.f64 1 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) 1)
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) -1) -1)
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(pow.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))) 1)
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) -1))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 x x)) -1)
(+.f64 1 (cos.f64 (+.f64 x x)))
(-.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 0)
(+.f64 1 (cos.f64 (+.f64 x x)))
(*.f64 1 (+.f64 1 (cos.f64 (+.f64 x x))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(+.f64 1 (cos.f64 (+.f64 x x)))
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(.f64 (.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x)))) (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(.f64 (.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) 1))
(+.f64 1 (cos.f64 (+.f64 x x)))
(.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(.f64 (.f64 (.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x)))) (.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x))))) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) (-.f64 -1 (cos.f64 (+.f64 x x))))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(+.f64 1 (cos.f64 (+.f64 x x)))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(pow.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(+.f64 1 (cos.f64 (+.f64 x x)))
(+.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 0)
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(+.f64 0 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(-.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 0)
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(*.f64 1 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(.f64 1/2 (.f64 2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1)
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(.f64 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) 2)
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(*.f64 1/4 (+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1/2) (/.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1/2)))
(.f64 1/4 (/.f64 (.f64 2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) 1/2))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1/2) 1/2)
(*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1/2))
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1/4)) (/.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) (*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) 1))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(.f64 (.f64 2 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) 1/2)
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))))) (/.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))) (*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))
(pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x)) 1)
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (cos.f64 x))

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sin.f64 x) (sin.f64 x))
✓	0.6b	(-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x)))
✓	2.2b	(-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) 2)))
✓	16.5b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) 2))) (.f64 x x))

Compiler

Compiled 128 to 49 computations (61.7% saved)

series8.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) 2))) (.f64 x x))
3.0ms	x	@	inf	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) 2))) (.f64 x x))
1.0ms	x	@	0	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) 2))) (.f64 x x))
0.0ms	x	@	0	(*.f64 (sin.f64 x) (sin.f64 x))
0.0ms	x	@	-inf	(-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) 2)))

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`rational.json-5`
1264×	`exponential.json-3`
1264×	`rational.json-1`
1264×	`rational.json-2`
1264×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	206
1	170	118
2	654	66
3	2594	66

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) 2))) (.f64 x x))
(-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) 2)))
(-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))

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

simplify194.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational.json-simplify-54`
928×	`rational.json-simplify-50`
772×	`rational.json-simplify-43`
762×	`rational.json-simplify-111`
628×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	2957
1	391	2957
2	875	2957
3	3109	2957

Stop Event

1×	node limit

Counts

117 → 120

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
2
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6)))))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 1 (cos.f64 (+.f64 x x)))
(+.f64 (.f64 (cos.f64 x) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))) 1))
(+.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 0)
(+.f64 0 (+.f64 1 (cos.f64 (+.f64 x x))))
(+.f64 (cos.f64 (+.f64 x x)) 1)
(*.f64 1 (+.f64 1 (cos.f64 (+.f64 x x))))
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(*.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) -1)
(.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))))
(.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) 1))
(.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) -1)
(pow.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(neg.f64 (-.f64 -1 (cos.f64 (+.f64 x x))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)
(/.f64 (-.f64 1 (cos.f64 (*.f64 (-.f64 (PI.f64) x) 2))) 2)
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 x)))))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x)))
(fabs.f64 (*.f64 (sin.f64 x) (fabs.f64 (sin.f64 x))))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 8)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 6)))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
(-.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cos.f64 x))))
2
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) -2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 2))
(+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 2 (.f64 (pow.f64 x 4) 2/3)))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 2) -2)))
(+.f64 (+.f64 2 (.f64 (pow.f64 x 2) -2)) (.f64 (pow.f64 x 4) 2/3))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 2 (+.f64 (.f64 (pow.f64 x 6) -4/45) (*.f64 (pow.f64 x 2) -2))))
(+.f64 2 (+.f64 (+.f64 (.f64 (pow.f64 x 2) -2) (.f64 (pow.f64 x 6) -4/45)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 2) -2) (*.f64 (pow.f64 x 6) -4/45))))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 2) -2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) -4/45))))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) (+.f64 -1 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/3))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 6) 2/45) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 4) -1/3)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 6) 2/45) (.f64 (pow.f64 x 4) -1/3)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) -1/3) (.f64 (pow.f64 x 6) 2/45)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 8) -1/315) (+.f64 (.f64 (pow.f64 x 6) 2/45) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/3))))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (.f64 (pow.f64 x 6) 2/45) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 8) -1/315))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/3) (.f64 (pow.f64 x 6) 2/45)) (*.f64 (pow.f64 x 8) -1/315)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (.f64 (pow.f64 x 6) 2/45) (*.f64 (pow.f64 x 8) -1/315))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 (+.f64 x x)))
(+.f64 (.f64 (cos.f64 x) (cos.f64 x)) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))) 1))
(+.f64 1 (cos.f64 (+.f64 x x)))
(+.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 0)
(+.f64 1 (cos.f64 (+.f64 x x)))
(+.f64 0 (+.f64 1 (cos.f64 (+.f64 x x))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(+.f64 (cos.f64 (+.f64 x x)) 1)
(+.f64 1 (cos.f64 (+.f64 x x)))
(*.f64 1 (+.f64 1 (cos.f64 (+.f64 x x))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(+.f64 1 (cos.f64 (+.f64 x x)))
(*.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(*.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) -1)
(+.f64 1 (cos.f64 (+.f64 x x)))
(.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) 1))
(+.f64 1 (cos.f64 (+.f64 x x)))
(.f64 (/.f64 1 (+.f64 1 (cos.f64 (+.f64 x x)))) (.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(+.f64 1 (cos.f64 (+.f64 x x)))
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(/.f64 (-.f64 -1 (cos.f64 (+.f64 x x))) -1)
(+.f64 1 (cos.f64 (+.f64 x x)))
(pow.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 1)
(+.f64 1 (cos.f64 (+.f64 x x)))
(neg.f64 (-.f64 -1 (cos.f64 (+.f64 x x))))
(+.f64 1 (cos.f64 (+.f64 x x)))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 (*.f64 (-.f64 (PI.f64) x) 2))) 2)
(/.f64 (-.f64 1 (cos.f64 (*.f64 2 (-.f64 (PI.f64) x)))) 2)
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (sin.f64 x) (fabs.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (-.f64 0 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(*.f64 (sin.f64 x) (sin.f64 x))

localize279.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
	0.2b	(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
✓	0.3b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 121 to 74 computations (38.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite189.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`rational.json-5`
888×	`exponential.json-3`
888×	`rational.json-1`
888×	`rational.json-2`
888×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	186
1	129	34
2	455	34
3	1623	34
4	7835	34

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

Inputs

(/.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))

Outputs

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

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

simplify170.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1292×	`rational.json-simplify-54`
986×	`rational.json-simplify-111`
630×	`rational.json-simplify-41`
608×	`rational.json-simplify-55`
592×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	951
1	172	951
2	323	951
3	899	951
4	3367	951
5	7492	951

Stop Event

1×	node limit

Counts

49 → 41

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(+.f64 1 (-.f64 -1 (+.f64 (cos.f64 x) -1)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 (-.f64 1 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))) (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) -1))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 1 (-.f64 -1 (+.f64 (cos.f64 x) -1)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(-.f64 (neg.f64 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) x)))) (cos.f64 x))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))

localize306.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (-.f64 1 (cos.f64 x)) 2)
✓	0.3b	(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
✓	0.3b	(/.f64 (.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
	2.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 136 to 83 computations (39% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 (.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
0.0ms	x	@	0	(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
0.0ms	x	@	inf	(/.f64 (.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
0.0ms	x	@	0	(pow.f64 (-.f64 1 (cos.f64 x)) 2)

rewrite149.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`rational.json-5`
1090×	`exponential.json-3`
1090×	`rational.json-1`
1090×	`rational.json-2`
1090×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	181
1	141	181
2	476	143
3	1976	143

Stop Event

1×	node limit

Counts

3 → 29

Calls

Call 1

Inputs

(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))

(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))

(pow.f64 (-.f64 1 (cos.f64 x)) 2)

Outputs

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

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

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

simplify477.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

880×	`rational.json-simplify-47`
878×	`exponential.json-simplify-26`
874×	`rational.json-simplify-1`
836×	`rational.json-simplify-58`
834×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	2097
1	218	2097
2	442	2097
3	1354	2097
4	4277	2097
5	6856	2097

Stop Event

1×	node limit

Counts

57 → 74

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 8))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))
(+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (*.f64 1/16 (pow.f64 x 8))))
(+.f64 (.f64 -1/3024 (pow.f64 x 14)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x)))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x)) 0)
(.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) 1)
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))))
(.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))))
(.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) 1))
(.f64 (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))))
(.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)))) (/.f64 (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)))))
(pow.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x)) 1)
(+.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 0)
(+.f64 0 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))
(-.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 0)
(/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 1)
(/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(pow.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 1)
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2) (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2))
(.f64 (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2) (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2)) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/16 (pow.f64 x 8))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 10)))
(+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (*.f64 1/16 (pow.f64 x 8))))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (+.f64 (.f64 1/16 (pow.f64 x 8)) (*.f64 19/5760 (pow.f64 x 12))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (*.f64 -1/48 (pow.f64 x 10))))
(+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 10))) (*.f64 19/5760 (pow.f64 x 12)))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (*.f64 19/5760 (pow.f64 x 12))))
(+.f64 (.f64 -1/3024 (pow.f64 x 14)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 1/16 (pow.f64 x 8)))))
(+.f64 (.f64 19/5760 (pow.f64 x 12)) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 10))) (.f64 -1/3024 (pow.f64 x 14))))
(+.f64 (.f64 -1/48 (pow.f64 x 10)) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 19/5760 (pow.f64 x 12))) (.f64 -1/3024 (pow.f64 x 14))))
(+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 -1/48 (pow.f64 x 10))) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (.f64 -1/3024 (pow.f64 x 14))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (+.f64 (.f64 -1/48 (pow.f64 x 10)) (.f64 -1/3024 (pow.f64 x 14))) (.f64 19/5760 (pow.f64 x 12))))
(+.f64 (.f64 1/16 (pow.f64 x 8)) (+.f64 (.f64 -1/48 (pow.f64 x 10)) (+.f64 (.f64 19/5760 (pow.f64 x 12)) (.f64 -1/3024 (pow.f64 x 14)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(pow.f64 (-.f64 1 (cos.f64 x)) 4)
(*.f64 1/4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) 1/4)
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -1/24 (pow.f64 x 6)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 1/320)))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 (pow.f64 x 8) 1/320) (*.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (*.f64 (pow.f64 x 8) 1/320)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 (pow.f64 x 10) -17/120960) (.f64 (pow.f64 x 8) 1/320))))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (+.f64 (.f64 (pow.f64 x 8) 1/320) (.f64 (pow.f64 x 10) -17/120960)) (.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 (pow.f64 x 8) 1/320) (.f64 (pow.f64 x 10) -17/120960))))
(+.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (.f64 (pow.f64 x 8) 1/320) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 (pow.f64 x 10) -17/120960))))
(+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x)) 0)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(+.f64 0 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x)) 0)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
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(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) (.f64 (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) 1))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)))) (/.f64 (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x))) (.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (.f64 x x)))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(pow.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x)) 1)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(+.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 0)
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 0 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(-.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 0)
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 1)
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))) 1)
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2) (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2) (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2)) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)

eval1.8s (8.7%)

Compiler: Compiled 28788 to 17816 computations (38.1% saved)

prune619.0ms (2.9%)

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	830	8	838
Fresh	1	6	7
Picked	0	1	1
Done	2	8	10
Total	833	23	856

Error

0.2b

Counts

856 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.6b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
	32.7b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)) 2))) (*.f64 x x))
✓	32.7b	(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))) (.f64 x x))
	32.7b	(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (.f64 x x))
✓	32.6b	(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (*.f64 x x))
✓	32.6b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	33.1b	(/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
	33.1b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 x x))
	33.1b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 x x))
	33.1b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 x x))
	33.1b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
	33.1b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 x x))
✓	33.1b	(/.f64 (.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
	33.2b	(/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 x x))
	33.1b	(/.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
	33.1b	(/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2) (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2)) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 x x))
✓	30.2b	(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
✓	30.4b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
✓	53.2b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
✓	53.1b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
	54.6b	(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
	29.6b	1/2
	48.5b	0

Compiler

Compiled 748 to 494 computations (34% saved)

regimes314.0ms (1.5%)

Counts

33 → 3

Calls

Call 1

Inputs
0
1/2
(/.f64 (-.f64 1 1) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (+.f64 (cos.f64 (.f64 2 x)) 1) (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2))) (.f64 x x))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (.f64 x x))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x)))) (*.f64 x x))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 x x))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)) 2))) (*.f64 x x))
(/.f64 (-.f64 1 (.f64 1/2 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (.f64 x x))
(/.f64 (-.f64 1 (.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) 2))) (.f64 x x))
(/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 x x))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(/.f64 (.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 x x))
(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (.f64 x x))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 x x))
(/.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (*.f64 x x))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 x x))
(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (.f64 x x))))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) 2) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 x x))
(/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2) (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2)) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1)) 2))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 x x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Calls

2 calls:

204.0ms	x
74.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.4b	3	`x`
13.6b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 1102 to 632 computations (42.6% saved)

bsearch81.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	0.0012257850574685768	0.2874667100646896
51.0ms	-899.7468157282855	-3.956597769367693e-13

Results

70.0ms

272×

body

256

valid

Compiler

Compiled 438 to 349 computations (20.3% saved)

regimes48.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
0
1/2
(/.f64 (-.f64 1 1) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Calls

2 calls:

30.0ms	x
15.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.4b	3	`x`
13.7b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch69.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	0.0012257850574685768	0.2874667100646896
40.0ms	-899.7468157282855	-3.956597769367693e-13

Results

61.0ms

272×

body

256

valid

Compiler

Compiled 336 to 264 computations (21.4% saved)

regimes26.0ms (0.1%)

Accuracy

Total -47.0b remaining (-289.9%)

Threshold costs -47.0b (-289.9%)

Counts

4 → 3

Calls

Call 1

Inputs
0
1/2
(/.f64 (-.f64 1 1) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))

Outputs
0
1/2
0

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
16.2b	3	`x`

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch99.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	5.408422492989454e+76	3.296932311373592e+77
49.0ms	-1.7343814552984003e+78	-3.937711446165989e+76

Results

77.0ms	176×	body	512	valid
16.0ms	32×	body	256	valid

Compiler

Compiled 91 to 87 computations (4.4% saved)

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	206

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1080863910568919/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 1261007895663739/36028797018963968) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4)))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(if (<=.f64 x -5534023222112865/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 662929865148937/144115188075855872) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -102000000000000004157358500878761787877123097423774592786761639742845011099648) 0 (if (<=.f64 x 106000000000000003060048603455191445800177264113991163074710728530570042671104) 1/2 0))
0

Outputs
(if (<=.f64 x -1080863910568919/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 1261007895663739/36028797018963968) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4)))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(if (<=.f64 x -5534023222112865/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 662929865148937/144115188075855872) (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -102000000000000004157358500878761787877123097423774592786761639742845011099648) 0 (if (<=.f64 x 106000000000000003060048603455191445800177264113991163074710728530570042671104) 1/2 0))
0

Compiler

Compiled 84 to 59 computations (29.8% saved)

soundness341.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational.json-simplify-49`
1184×	`rational.json-simplify-2`
1134×	`rational.json-simplify-41`
1070×	`rational.json-simplify-50`
946×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	242	1465
1	542	1385
2	1558	1385
3	4293	1385

Stop Event

1×	node limit

Compiler

Compiled 40 to 34 computations (15% saved)

end83.0ms (0.4%)

Compiler: Compiled 81 to 54 computations (33.3% saved)