Details

analyze468.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample14.3s (75.4%)

Results

9.1s	2077×	body	2048	valid
4.2s	3110×	body	1024	valid
479.0ms	1542×	body	512	valid
406.0ms	1417×	body	256	valid
134.0ms	110×	body	4096	valid

Bogosity

preprocess116.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

34.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.1b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	2.1b	(-.f64 x (sin.f64 x))
✓	2.1b	(-.f64 x (tan.f64 x))

Compiler

Compiled 23 to 6 computations (73.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	68	49
2	203	49
3	506	49
4	1265	49
5	5021	49

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

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

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

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational.json-simplify-39`
1002×	`rational.json-simplify-55`
842×	`rational.json-simplify-1`
744×	`rational.json-simplify-41`
706×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	380	5410
1	883	5304
2	3157	5176
3	5668	5164

Stop Event

1×	node limit

Counts

192 → 271

Calls

Call 1

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

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

eval50.0ms (0.3%)

Compiler: Compiled 5014 to 1802 computations (64.1% saved)

prune40.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	266	5	271
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	266	6	272

Error

Counts

272 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.1b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
▶	34.3b	(/.f64 (-.f64 x (sin.f64 x)) x)
▶	28.5b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
▶	34.4b	(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
	34.8b	1
	28.9b	-1/2

Compiler

Compiled 42 to 29 computations (31% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	0.1b	(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
✓	0.2b	(/.f64 (sin.f64 x) (cos.f64 x))
✓	2.7b	(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))

Compiler

Compiled 42 to 9 computations (78.6% saved)

series5.0ms (0%)

Counts

4 → 16

Calls

12 calls:

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

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`rational.json-1`
1762×	`rational.json-2`
1762×	`rational.json-4`
1762×	`rational.json-3`
1744×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	76
1	68	76
2	204	76
3	551	76
4	1585	76
5	4808	76

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

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

simplify127.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1614×	`rational.json-simplify-51`
958×	`rational.json-simplify-1`
924×	`rational.json-simplify-2`
778×	`exponential.json-simplify-26`
760×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	316	3833
1	644	3833
2	1526	3833
3	4111	3679
4	6593	3679

Stop Event

1×	node limit

Counts

165 → 195

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 5)))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -529/24192 (pow.f64 x 9)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6))))
(+.f64 (.f64 -529/24192 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -13/240 (pow.f64 x 6)))))
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 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 0)
(+.f64 0 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 -1 (-.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)))
(+.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) -1)
(+.f64 (-.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) (-.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1))
(.f64 (sin.f64 x) (.f64 (+.f64 -1 (/.f64 1 (cos.f64 x))) -1))
(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(*.f64 1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -2) 1/2)
(.f64 (.f64 (sin.f64 x) 2) (-.f64 1/2 (/.f64 1/2 (cos.f64 x))))
(*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))
(*.f64 2 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2))
(.f64 2 (.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 1))
(.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 1/2))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -4) 1/4)
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -1)
(.f64 1/2 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -2))
(.f64 1/2 (neg.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) -2)))
(.f64 1/2 (-.f64 (.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 2 (cos.f64 x)))))
(*.f64 (+.f64 -1 (/.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 2)
(.f64 1/4 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -4))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -2) 2)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -4) 4)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 8) 8)
(/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 8)) 16)
(pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(neg.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)
(+.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(.f64 (sin.f64 x) (.f64 2 (/.f64 1/2 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (*.f64 2 (/.f64 1 (cos.f64 x))) 1/2))
(.f64 (sin.f64 x) (.f64 (/.f64 2 (cos.f64 x)) 1/2))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(*.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (cos.f64 x)) 1/2))
(.f64 (.f64 (sin.f64 x) 2) (.f64 (.f64 (/.f64 1 (cos.f64 x)) 1/2) 1))
(.f64 (.f64 (sin.f64 x) 2) (.f64 (.f64 2 (/.f64 1/2 (cos.f64 x))) 1/2))
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(.f64 2 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) 2)))
(.f64 2 (.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) 1))
(.f64 2 (.f64 (/.f64 (sin.f64 x) 2) (/.f64 1 (cos.f64 x))))
(.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))
(.f64 2 (.f64 (sin.f64 x) (/.f64 1/2 (cos.f64 x))))
(.f64 2 (.f64 (/.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 2 (cos.f64 x))) 1/2)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (cos.f64 x) 4)))
(.f64 (.f64 (sin.f64 x) 4) (.f64 (/.f64 1 (.f64 (cos.f64 x) 4)) 1))
(.f64 (.f64 (sin.f64 x) 4) (*.f64 1/4 (/.f64 1 (cos.f64 x))))
(.f64 (.f64 (sin.f64 x) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (cos.f64 x)))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 -1 (cos.f64 x)) 1))
(.f64 (neg.f64 (sin.f64 x)) (.f64 -1 (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) -1)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 2 (cos.f64 x))))
(.f64 (/.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2))
(.f64 (.f64 (/.f64 1 (cos.f64 x)) 1/2) (*.f64 (sin.f64 x) 2))
(.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) 2)) 2)
(.f64 (/.f64 1 (.f64 (cos.f64 x) 4)) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) 0)
(+.f64 0 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 x x)))
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) -1)
(-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) 0)
(-.f64 0 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(.f64 (sin.f64 x) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 1 x)))
(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 1 x))
(.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 2 (/.f64 1/2 x)))
(.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (*.f64 2 (/.f64 1 x)) 1/2))
(.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (/.f64 2 x) 1/2))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) 1)
(*.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -2) (/.f64 1/2 x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -2) (*.f64 (/.f64 1 x) 1/2))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -2) (.f64 (.f64 (/.f64 1 x) 1/2) 1))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -2) (.f64 (.f64 2 (/.f64 1/2 x)) 1/2))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(*.f64 2 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 x x)))
(.f64 2 (.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 x x)) 1))
(.f64 2 (.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (/.f64 1 x)))
(.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 1/2 x)))
(.f64 2 (.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) 1/2))
(.f64 2 (.f64 (/.f64 1/2 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 2 x)) 1/2)
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -4) (/.f64 1 (*.f64 x 4)))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -4) (.f64 (/.f64 1 (.f64 x 4)) 1))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -4) (*.f64 1/4 (/.f64 1 x)))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -4) (*.f64 1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 1 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 -1 x))
(.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 -1 x) 1))
(.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 x) -1))
(.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 -1 (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) -1)
(.f64 (/.f64 1/2 x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -2))
(.f64 1/2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 2 x)))
(*.f64 (+.f64 -1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (+.f64 -1 (/.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(.f64 (+.f64 -1 (/.f64 1 (cos.f64 x))) (.f64 (/.f64 (sin.f64 x) x) -1))
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -2))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 x x)) 2)
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -4))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (+.f64 -1 (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) 1)
(neg.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 (cos.f64 x) 0)
(+.f64 0 (cos.f64 x))
(-.f64 (cos.f64 x) 0)
(-.f64 0 (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) 1)
(*.f64 1 (cos.f64 x))
(.f64 (.f64 (cos.f64 x) 2) 1/2)
(*.f64 -1 (neg.f64 (cos.f64 x)))
(*.f64 2 (/.f64 (cos.f64 x) 2))
(.f64 2 (.f64 (/.f64 (cos.f64 x) 2) 1))
(.f64 2 (.f64 (cos.f64 x) 1/2))
(.f64 (.f64 (cos.f64 x) 4) 1/4)
(*.f64 (neg.f64 (cos.f64 x)) -1)
(.f64 1/2 (.f64 (cos.f64 x) 2))
(.f64 1/4 (.f64 (cos.f64 x) 4))
(*.f64 (/.f64 (cos.f64 x) 2) 2)
(/.f64 (cos.f64 x) 1)
(/.f64 (*.f64 (cos.f64 x) 2) 2)
(/.f64 (*.f64 (cos.f64 x) 4) 4)
(/.f64 (neg.f64 (cos.f64 x)) -1)
(/.f64 (*.f64 (cos.f64 x) 8) 8)
(/.f64 (*.f64 (cos.f64 x) -2) -2)
(/.f64 (.f64 2 (.f64 (cos.f64 x) 8)) 16)
(pow.f64 (cos.f64 x) 1)
(neg.f64 (neg.f64 (cos.f64 x)))

Outputs
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 5)))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 5)) (*.f64 -13/240 (pow.f64 x 7))))
(+.f64 (.f64 -1/8 (pow.f64 x 5)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/2 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 5)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 -13/240 (pow.f64 x 7))))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -529/24192 (pow.f64 x 9)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (+.f64 (.f64 -1/8 (pow.f64 x 5)) (.f64 -529/24192 (pow.f64 x 9)))))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 5)) (+.f64 (.f64 -529/24192 (pow.f64 x 9)) (.f64 -13/240 (pow.f64 x 7)))))
(+.f64 (.f64 -1/8 (pow.f64 x 5)) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 -13/240 (pow.f64 x 7))) (.f64 -529/24192 (pow.f64 x 9))))
(+.f64 (.f64 -1/8 (pow.f64 x 5)) (+.f64 (.f64 -529/24192 (pow.f64 x 9)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 -13/240 (pow.f64 x 7)))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 x (*.f64 (pow.f64 x 3) 1/3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 x (.f64 (pow.f64 x 5) 2/15)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 (pow.f64 x 5) 2/15)))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (*.f64 (pow.f64 x 7) 17/315)))
(+.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (+.f64 (.f64 (pow.f64 x 7) 17/315) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (+.f64 (.f64 (pow.f64 x 7) 17/315) (*.f64 (pow.f64 x 5) 2/15)))
(+.f64 (.f64 (pow.f64 x 5) 2/15) (+.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 (pow.f64 x 7) 17/315))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6))))
(+.f64 (.f64 -529/24192 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -13/240 (pow.f64 x 6)))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -13/240 (pow.f64 x 6)))) (.f64 -529/24192 (pow.f64 x 8)))
(+.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -13/240 (pow.f64 x 6))) (+.f64 (.f64 -529/24192 (pow.f64 x 8)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (+.f64 (.f64 -13/240 (pow.f64 x 6)) (.f64 -529/24192 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(+.f64 1 (+.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 (pow.f64 x 4) 1/24) 1))
(+.f64 (.f64 -1/2 (pow.f64 x 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 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 (pow.f64 x 6) -1/720)) 1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 (pow.f64 x 6) -1/720)) -1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 0)
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 0 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 -1 (-.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (sin.f64 x))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) -1)
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (-.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (neg.f64 (sin.f64 x))))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) (-.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 (sin.f64 x) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 (sin.f64 x) (.f64 (+.f64 -1 (/.f64 1 (cos.f64 x))) -1))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -2) 1/2)
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (-.f64 1/2 (/.f64 1/2 (cos.f64 x))))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 2 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 2 (.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 1))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 1/2))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) -4) 1/4)
(+.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
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(-.f64 0 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 2) 1/2)
(cos.f64 x)
(*.f64 -1 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 2 (/.f64 (cos.f64 x) 2))
(cos.f64 x)
(.f64 2 (.f64 (/.f64 (cos.f64 x) 2) 1))
(cos.f64 x)
(.f64 2 (.f64 (cos.f64 x) 1/2))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 4) 1/4)
(cos.f64 x)
(*.f64 (neg.f64 (cos.f64 x)) -1)
(cos.f64 x)
(.f64 1/2 (.f64 (cos.f64 x) 2))
(cos.f64 x)
(.f64 1/4 (.f64 (cos.f64 x) 4))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) 2) 2)
(cos.f64 x)
(/.f64 (cos.f64 x) 1)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) 2) 2)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) 4) 4)
(cos.f64 x)
(/.f64 (neg.f64 (cos.f64 x)) -1)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) 8) 8)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) -2) -2)
(cos.f64 x)
(/.f64 (.f64 2 (.f64 (cos.f64 x) 8)) 16)
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(neg.f64 (neg.f64 (cos.f64 x)))
(cos.f64 x)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓	0.2b	(*.f64 9/40 (pow.f64 x 2))

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 9/40 (pow.f64 x 2))
0.0ms	x	@	inf	(*.f64 9/40 (pow.f64 x 2))
0.0ms	x	@	inf	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
0.0ms	x	@	0	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
0.0ms	x	@	-inf	(*.f64 9/40 (pow.f64 x 2))

rewrite265.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3466×	`rational.json-simplify-35`
2064×	`rational.json-simplify-2`
1162×	`rational.json-simplify-1`
1156×	`exponential.json-3`
1156×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	57	32
2	111	32
3	208	32
4	369	32
5	793	32
6	1917	32
7	3206	32
8	3787	32
9	4589	32
10	5463	32
11	5978	32
12	5978	32
13	6651	32
14	6905	32
15	7438	32

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify428.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2564×	`rational.json-simplify-48`
2288×	`rational.json-simplify-35`
1678×	`rational.json-simplify-1`
1434×	`rational.json-simplify-2`
1214×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	856
1	241	856
2	585	856
3	1923	856
4	4168	856
5	4953	856
6	5198	856
7	5388	856
8	5683	856
9	6036	856
10	6558	856
11	6911	856
12	6994	856
13	7075	856
14	7156	856
15	7156	856
16	7286	856
17	7545	856
18	7834	856

Stop Event

1×	node limit

Counts

52 → 51

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x (sin.f64 x)) x)
	2.1b	(-.f64 x (sin.f64 x))

Compiler

Compiled 14 to 4 computations (71.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`rational.json-1`
1396×	`rational.json-2`
1396×	`rational.json-4`
1396×	`rational.json-3`
1388×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	51	17
2	147	17
3	365	17
4	920	17
5	3627	17

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational.json-simplify-2`
1010×	`rational.json-simplify-44`
976×	`rational.json-simplify-47`
838×	`rational.json-simplify-55`
816×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	1812
1	362	1788
2	930	1788
3	4084	1764
4	7037	1764

Stop Event

1×	node limit

Counts

88 → 96

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) x) x)))
(+.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)) (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(-.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(-.f64 0 (/.f64 (-.f64 (sin.f64 x) x) x))
(.f64 x (/.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 x))
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (*.f64 2 (/.f64 1 x))))
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) x))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (/.f64 1/2 x))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 x)) 1/2)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (/.f64 2 (*.f64 x 8)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 -1 x))
(.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 1 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 2 (.f64 2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(*.f64 -1 (/.f64 (-.f64 (sin.f64 x) x) x))
(.f64 -1 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (neg.f64 (+.f64 x x))))
(.f64 (.f64 x (/.f64 2 (-.f64 x (sin.f64 x)))) (/.f64 1 (.f64 2 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(.f64 (.f64 x (/.f64 2 (-.f64 x (sin.f64 x)))) (/.f64 1/2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 4 (/.f64 (-.f64 x (sin.f64 x)) (.f64 x 4)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 4))
(.f64 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 4) 1/4)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 8) (/.f64 1 (*.f64 x 8)))
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 x)))
(.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 x (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 1/2 x) (.f64 (-.f64 x (sin.f64 x)) 2))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1/2 (neg.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1 (*.f64 x -2)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1 (neg.f64 (+.f64 x x))))
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) x) -1)
(.f64 (.f64 (/.f64 x (-.f64 x (sin.f64 x))) 1/2) (/.f64 2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 1/2 (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 2 x) (.f64 (-.f64 x (sin.f64 x)) 1/2))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)) 2)
(.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (/.f64 x (.f64 2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (*.f64 2 (/.f64 1 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (/.f64 2 x))
(.f64 1/4 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 4))
(.f64 (/.f64 2 (.f64 x 8)) (*.f64 (-.f64 x (sin.f64 x)) 4))
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
(.f64 (.f64 (/.f64 1 x) 1/4) (*.f64 (-.f64 x (sin.f64 x)) 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 x (sin.f64 x)))
(.f64 (.f64 1/2 (/.f64 2 x)) (-.f64 x (sin.f64 x)))
(.f64 (.f64 1/2 (/.f64 1/2 x)) (*.f64 (-.f64 x (sin.f64 x)) 4))
(.f64 (/.f64 1 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (/.f64 x (-.f64 x (sin.f64 x))))
(.f64 (/.f64 (+.f64 x x) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (/.f64 1/2 (-.f64 x (sin.f64 x))))
(.f64 (/.f64 2 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (*.f64 (/.f64 x (-.f64 x (sin.f64 x))) 1/2))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))) (/.f64 1 x))
(.f64 (/.f64 x (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (/.f64 1 (-.f64 x (sin.f64 x))))
(.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (/.f64 1 (-.f64 (sin.f64 x) x)))
(.f64 (/.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) x)
(.f64 (/.f64 1 (.f64 2 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))) (.f64 x (/.f64 2 (-.f64 x (sin.f64 x)))))
(.f64 (/.f64 2 (.f64 2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))) (/.f64 x (-.f64 x (sin.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (neg.f64 (+.f64 x x))) -1)
(.f64 (/.f64 (-.f64 x (sin.f64 x)) (.f64 x 4)) 4)
(.f64 (/.f64 1/2 (neg.f64 x)) (.f64 (-.f64 x (sin.f64 x)) -2))
(.f64 (/.f64 1/2 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (*.f64 x (/.f64 2 (-.f64 x (sin.f64 x)))))
(.f64 (/.f64 x (.f64 2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))) (/.f64 2 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 4) 4)
(.f64 (/.f64 1 (.f64 x 8)) (*.f64 (-.f64 x (sin.f64 x)) 8))
(.f64 (/.f64 1 (.f64 x -2)) (*.f64 (-.f64 x (sin.f64 x)) -2))
(.f64 (/.f64 1 (neg.f64 (+.f64 x x))) (.f64 (-.f64 x (sin.f64 x)) -2))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) x))
(neg.f64 (/.f64 (/.f64 x (-.f64 (sin.f64 x) x)) (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(neg.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) (neg.f64 (+.f64 x x))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/120 (pow.f64 x 4)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/5040 (pow.f64 x 6)) (*.f64 -1/120 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/120 (pow.f64 x 4)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6))) (.f64 -1/362880 (pow.f64 x 8))))
(+.f64 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6))) (+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 -1/362880 (pow.f64 x 8))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(/.f64 (-.f64 x (sin.f64 x)) x)
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) x) x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(+.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)) (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(-.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(/.f64 (-.f64 x (sin.f64 x)) x)
(-.f64 0 (/.f64 (-.f64 (sin.f64 x) x) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 x (/.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (*.f64 2 (/.f64 1 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (/.f64 1/2 x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 x)) 1/2)
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (/.f64 2 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (/.f64 2 (*.f64 x 8)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 (/.f64 1 x) 1/4))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 -1 x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 1 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 2 (.f64 2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 -1 (/.f64 (-.f64 (sin.f64 x) x) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 -1 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (neg.f64 (+.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 x (/.f64 2 (-.f64 x (sin.f64 x)))) (/.f64 1 (.f64 2 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 x (/.f64 2 (-.f64 x (sin.f64 x)))) (/.f64 1/2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 4 (/.f64 (-.f64 x (sin.f64 x)) (.f64 x 4)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 4 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 4))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 4) 1/4)
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 8) (/.f64 1 (*.f64 x 8)))
(.f64 (-.f64 x (sin.f64 x)) (.f64 8 (/.f64 1 (*.f64 x 8))))
(.f64 8 (.f64 (/.f64 1/8 x) (-.f64 x (sin.f64 x))))
(.f64 8 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/8 x)))
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 x)))
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (/.f64 2 x)))
(.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 x (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 1/2 x) (.f64 (-.f64 x (sin.f64 x)) 2))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1/2 (neg.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1 (*.f64 x -2)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1 (neg.f64 (+.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 (-.f64 x (sin.f64 x)) 1/2))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) x) -1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (/.f64 x (-.f64 x (sin.f64 x))) 1/2) (/.f64 2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(.f64 (.f64 1/2 (/.f64 x (-.f64 x (sin.f64 x)))) (/.f64 2 (.f64 x (/.f64 x (.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)))))))
(.f64 (.f64 1/2 (/.f64 x (-.f64 x (sin.f64 x)))) (*.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 x (/.f64 2 x)))))
(*.f64 1/2 (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (/.f64 x (/.f64 2 (/.f64 x (-.f64 x (sin.f64 x))))) (-.f64 x (sin.f64 x)))))
(.f64 (/.f64 1/2 (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 2 x) (.f64 (-.f64 x (sin.f64 x)) 1/2))
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (/.f64 2 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)) 2)
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (/.f64 x (.f64 2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (*.f64 2 (/.f64 1 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (/.f64 2 x))
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (/.f64 2 x)))
(.f64 1/4 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 4))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 2 (.f64 x 8)) (*.f64 (-.f64 x (sin.f64 x)) 4))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (/.f64 1 x) 1/4) (*.f64 (-.f64 x (sin.f64 x)) 4))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 x))) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 1/2 (/.f64 2 x)) (-.f64 x (sin.f64 x)))
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (/.f64 2 x)))
(.f64 (.f64 1/2 (/.f64 1/2 x)) (*.f64 (-.f64 x (sin.f64 x)) 4))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 1 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (/.f64 x (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 (+.f64 x x) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (/.f64 1/2 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 2 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (*.f64 (/.f64 x (-.f64 x (sin.f64 x))) 1/2))
(.f64 (.f64 1/2 (/.f64 x (-.f64 x (sin.f64 x)))) (/.f64 2 (.f64 x (/.f64 x (.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)))))))
(.f64 (.f64 1/2 (/.f64 x (-.f64 x (sin.f64 x)))) (*.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 x (/.f64 2 x)))))
(*.f64 1/2 (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (/.f64 x (/.f64 2 (/.f64 x (-.f64 x (sin.f64 x))))) (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))) (/.f64 1 x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 x (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (/.f64 1 (-.f64 (sin.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) x)
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 1 (.f64 2 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))) (.f64 x (/.f64 2 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 2 (.f64 2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))) (/.f64 x (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 2) (neg.f64 (+.f64 x x))) -1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 (-.f64 x (sin.f64 x)) (.f64 x 4)) 4)
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 1/2 (neg.f64 x)) (.f64 (-.f64 x (sin.f64 x)) -2))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 1/2 (.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))) (*.f64 x (/.f64 2 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 x (.f64 2 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))) (/.f64 2 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (/.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 4) 4)
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 1 (.f64 x 8)) (*.f64 (-.f64 x (sin.f64 x)) 8))
(.f64 (-.f64 x (sin.f64 x)) (.f64 8 (/.f64 1 (*.f64 x 8))))
(.f64 8 (.f64 (/.f64 1/8 x) (-.f64 x (sin.f64 x))))
(.f64 8 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/8 x)))
(.f64 (/.f64 1 (.f64 x -2)) (*.f64 (-.f64 x (sin.f64 x)) -2))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (/.f64 1 (neg.f64 (+.f64 x x))) (.f64 (-.f64 x (sin.f64 x)) -2))
(/.f64 (-.f64 x (sin.f64 x)) x)
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(neg.f64 (/.f64 (/.f64 x (-.f64 (sin.f64 x) x)) (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(neg.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) (neg.f64 (+.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) x)

eval96.0ms (0.5%)

Compiler: Compiled 6056 to 3372 computations (44.3% saved)

prune60.0ms (0.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	405	2	407
Fresh	0	2	2
Picked	0	1	1
Done	1	2	3
Total	406	7	413

Error

Counts

413 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.1b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	34.3b	(/.f64 (-.f64 x (sin.f64 x)) x)
✓	28.5b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
▶	34.4b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) x))
▶	34.4b	(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
	34.8b	1
	28.9b	-1/2

Compiler

Compiled 52 to 38 computations (26.9% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
	2.1b	(-.f64 x (sin.f64 x))

Compiler

Compiled 20 to 9 computations (55% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`rational.json-1`
1806×	`rational.json-2`
1192×	`rational.json-simplify-35`
862×	`rational.json-4`
862×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	71	17
2	169	17
3	369	17
4	843	17
5	2650	17
6	7168	17

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational.json-simplify-35`
1386×	`rational.json-simplify-2`
1200×	`rational.json-simplify-51`
996×	`rational.json-simplify-53`
926×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	1680
1	597	1640
2	1668	1612
3	4607	1588

Stop Event

1×	node limit

Counts

80 → 91

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) x))
(+.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)) (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(-.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(/.f64 1 (/.f64 x (-.f64 x (sin.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (*.f64 x x) x))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(/.f64 2 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))))
(/.f64 4 (*.f64 4 (/.f64 x (-.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) (+.f64 x x))
(/.f64 (/.f64 2 x) (/.f64 2 (-.f64 x (sin.f64 x))))
(/.f64 (/.f64 2 x) (+.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 1 (-.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 2 x)) 2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(/.f64 -1 (/.f64 x (-.f64 (sin.f64 x) x)))
(/.f64 -1 (neg.f64 (/.f64 x (-.f64 x (sin.f64 x)))))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 8 (/.f64 (*.f64 x 8) (-.f64 x (sin.f64 x))))
(/.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (.f64 x 4))
(/.f64 (/.f64 4 x) (+.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (/.f64 2 (-.f64 x (sin.f64 x)))))
(/.f64 -2 (neg.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x)))))
(/.f64 -2 (+.f64 (/.f64 x (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 x (-.f64 x (sin.f64 x)))) (neg.f64 (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 4 x)) 4)
(/.f64 1/2 (*.f64 1/2 (/.f64 x (-.f64 x (sin.f64 x)))))
(/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (*.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))) (*.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x)))))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x))))) (.f64 2 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x)))))))
(/.f64 16 (+.f64 (/.f64 (.f64 x 8) (-.f64 x (sin.f64 x))) (/.f64 (.f64 x 8) (-.f64 x (sin.f64 x)))))
(/.f64 (.f64 (-.f64 x (sin.f64 x)) 8) (.f64 x 8))
(/.f64 -4 (+.f64 (neg.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x)))) (neg.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (.f64 x -2))
(/.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 8) 8)
(/.f64 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x)))) (.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x)))))
(/.f64 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x)))) (+.f64 (.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x)))) (*.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)) 1/2)
(/.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (.f64 x 1/2))
(/.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (/.f64 (.f64 x x) (+.f64 x x)))
(/.f64 (.f64 2 (.f64 (-.f64 x (sin.f64 x)) 8)) (.f64 2 (.f64 x 8)))
(/.f64 (.f64 (-.f64 (sin.f64 x) x) 4) (.f64 (neg.f64 x) 4))
(/.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 8)) (neg.f64 (.f64 x 8)))
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) x) 8)
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) x) -1)
(/.f64 -1/2 (-.f64 0 (*.f64 1/2 (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 8)) 16)
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (*.f64 x 4)) 1/4)
(/.f64 (neg.f64 (/.f64 x (-.f64 x (sin.f64 x)))) (-.f64 0 (*.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 4)) (neg.f64 (.f64 x 4)))
(/.f64 (neg.f64 (*.f64 (-.f64 x (sin.f64 x)) -2)) (+.f64 x x))
(/.f64 (+.f64 (/.f64 (-.f64 x (sin.f64 x)) (.f64 x 4)) (/.f64 (-.f64 x (sin.f64 x)) (.f64 x 4))) 1/2)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 4)) (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 4))) (.f64 2 (neg.f64 (.f64 x 4))))
(/.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) x) (/.f64 (-.f64 (sin.f64 x) x) x)) -2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 8) x) (/.f64 (.f64 (-.f64 x (sin.f64 x)) 8) x)) 16)
(/.f64 (+.f64 (.f64 (-.f64 (sin.f64 x) x) 4) (.f64 (-.f64 (sin.f64 x) x) 4)) (.f64 2 (.f64 (neg.f64 x) 4)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 8)) (.f64 2 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) -2)) (neg.f64 (.f64 (-.f64 x (sin.f64 x)) -2))) (*.f64 x 4))
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 1 (-.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 4))) (.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 4))) (-.f64 0 (neg.f64 (.f64 x 4))))
(/.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2)) (-.f64 0 (.f64 x 1/2)))
(/.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 2 (-.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (sin.f64 x) x) 4)) (-.f64 0 (.f64 (neg.f64 x) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) -2))) (.f64 x -2))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) x))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/120 (pow.f64 x 4)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/5040 (pow.f64 x 6)) (*.f64 -1/120 (pow.f64 x 4))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/5040 (pow.f64 x 6)) (.f64 -1/362880 (pow.f64 x 8)))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 1/5040 (pow.f64 x 6)) (.f64 -1/362880 (pow.f64 x 8))) (.f64 -1/120 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/5040 (pow.f64 x 6)) (.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(/.f64 (-.f64 x (sin.f64 x)) x)
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(+.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)) (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(-.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 1 (/.f64 x (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (/.f64 1 x) (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (*.f64 x x) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 2 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 4 (*.f64 4 (/.f64 x (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) 2) (+.f64 x x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (/.f64 2 x) (/.f64 2 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (/.f64 2 x) (+.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 1 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 2 x)) 2)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 -1 (/.f64 x (-.f64 (sin.f64 x) x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 -1 (neg.f64 (/.f64 x (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 8 (.f64 2 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 8 (/.f64 (*.f64 x 8) (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (.f64 x 4))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (/.f64 4 x) (+.f64 (/.f64 2 (-.f64 x (sin.f64 x))) (/.f64 2 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 -2 (neg.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 -2 (+.f64 (/.f64 x (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 -2 (+.f64 (neg.f64 (/.f64 x (-.f64 x (sin.f64 x)))) (neg.f64 (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 4 x)) 4)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 1/2 (*.f64 1/2 (/.f64 x (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (*.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))) (*.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x)))))
(/.f64 (+.f64 x x) (.f64 (-.f64 x (sin.f64 x)) (.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))))))
(/.f64 (+.f64 x x) (.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))) (.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (+.f64 x x) (/.f64 (+.f64 x x) (*.f64 (-.f64 x (sin.f64 x)) (/.f64 x (-.f64 x (sin.f64 x)))))))
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (+.f64 x x) (/.f64 (+.f64 x x) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 x (-.f64 (sin.f64 x) x))))))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x))))) (.f64 2 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x)))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 16 (+.f64 (/.f64 (.f64 x 8) (-.f64 x (sin.f64 x))) (/.f64 (.f64 x 8) (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (.f64 (-.f64 x (sin.f64 x)) 8) (.f64 x 8))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 -4 (+.f64 (neg.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x)))) (neg.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (.f64 x -2))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 8) 8)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x)))) (.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x)))))
(.f64 4 (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))))))
(/.f64 (.f64 (.f64 2 (/.f64 x (-.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (sin.f64 x)) x)) (/.f64 x (*.f64 (-.f64 x (sin.f64 x)) 1/2)))
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (/.f64 x 2) (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 x (*.f64 (-.f64 x (sin.f64 x)) 1/2)))))
(/.f64 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x)))) (+.f64 (.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x)))) (*.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))))))
(/.f64 (.f64 4 (/.f64 x (-.f64 x (sin.f64 x)))) (.f64 (/.f64 (+.f64 x x) (-.f64 x (sin.f64 x))) (+.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 (.f64 (.f64 2 (/.f64 x (-.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (sin.f64 x)) x)) (*.f64 2 (/.f64 x (-.f64 x (sin.f64 x)))))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) (/.f64 x (-.f64 x (sin.f64 x))))) (*.f64 (/.f64 x (-.f64 (sin.f64 x) x)) -2))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (.f64 x 1/2))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2) (/.f64 (.f64 x x) (+.f64 x x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (.f64 2 (.f64 (-.f64 x (sin.f64 x)) 8)) (.f64 2 (.f64 x 8)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (.f64 (-.f64 (sin.f64 x) x) 4) (.f64 (neg.f64 x) 4))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 8)) (neg.f64 (.f64 x 8)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) 8) x) 8)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) x) -1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 -1/2 (-.f64 0 (*.f64 1/2 (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 8)) 16)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (*.f64 x 4)) 1/4)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (/.f64 x (-.f64 x (sin.f64 x)))) (-.f64 0 (*.f64 (/.f64 x (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 4)) (neg.f64 (.f64 x 4)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (*.f64 (-.f64 x (sin.f64 x)) -2)) (+.f64 x x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (+.f64 (/.f64 (-.f64 x (sin.f64 x)) (.f64 x 4)) (/.f64 (-.f64 x (sin.f64 x)) (.f64 x 4))) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 4)) (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 4))) (.f64 2 (neg.f64 (.f64 x 4))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) x) (/.f64 (-.f64 (sin.f64 x) x) x)) -2)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 x (sin.f64 x)) 8) x) (/.f64 (.f64 (-.f64 x (sin.f64 x)) 8) x)) 16)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (+.f64 (.f64 (-.f64 (sin.f64 x) x) 4) (.f64 (-.f64 (sin.f64 x) x) 4)) (.f64 2 (.f64 (neg.f64 x) 4)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 8)) (.f64 2 (.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 8))) 32)
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) -2)) (neg.f64 (.f64 (-.f64 x (sin.f64 x)) -2))) (*.f64 x 4))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 0 (/.f64 1 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 4))) (.f64 x 4))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 4))) (-.f64 0 (neg.f64 (.f64 x 4))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) 1/2)) (-.f64 0 (.f64 x 1/2)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 2 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (.f64 (-.f64 (sin.f64 x) x) 4)) (-.f64 0 (.f64 (neg.f64 x) 4)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x (sin.f64 x)) -2))) (.f64 x -2))
(/.f64 (-.f64 x (sin.f64 x)) x)
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) x))
(/.f64 (-.f64 x (sin.f64 x)) x)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (cos.f64 x))
✓	0.1b	(/.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) x)
✓	0.1b	(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x))
✓	2.7b	(-.f64 1 (/.f64 1 (cos.f64 x)))

Compiler

Compiled 50 to 29 computations (42% saved)

series4.0ms (0%)

Counts

4 → 32

Calls

12 calls:

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

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`rational.json-1`
1290×	`rational.json-2`
1290×	`rational.json-4`
1290×	`rational.json-3`
1276×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	88
1	90	88
2	244	88
3	637	88
4	1988	88
5	4732	88

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1530×	`rational.json-simplify-35`
1134×	`rational.json-simplify-46`
1054×	`rational.json-simplify-61`
908×	`rational.json-simplify-49`
782×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	3957
1	505	3957
2	1231	3957
3	3505	3957
4	6976	3957

Stop Event

1×	node limit

Counts

147 → 157

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 -5/24 (pow.f64 x 4))))
(+.f64 (.f64 -277/8064 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (.f64 -5/24 (pow.f64 x 4)))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 5)))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -529/24192 (pow.f64 x 9)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6))))
(+.f64 (.f64 -529/24192 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -13/240 (pow.f64 x 6)))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 (.f64 61/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 0)
(+.f64 0 (-.f64 1 (/.f64 1 (cos.f64 x))))
(+.f64 -1 (-.f64 2 (/.f64 1 (cos.f64 x))))
(+.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2))
(+.f64 (-.f64 2 (/.f64 1 (cos.f64 x))) -1)
(*.f64 1 (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1)
(.f64 2 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2))
(*.f64 -1 (+.f64 (/.f64 1 (cos.f64 x)) -1))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 2) 1/2)
(*.f64 (+.f64 (/.f64 1 (cos.f64 x)) -1) -1)
(.f64 1/2 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 2))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2) 2)
(/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 2) 2)
(/.f64 (+.f64 (/.f64 1 (cos.f64 x)) -1) -1)
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 4) 4)
(/.f64 (*.f64 2 (+.f64 (/.f64 1 (cos.f64 x)) -1)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 4))) 16)
(pow.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1)
(neg.f64 (+.f64 (/.f64 1 (cos.f64 x)) -1))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1))))
(+.f64 (/.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) 2) (/.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) 2))
(+.f64 (-.f64 1 (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1))) -1)
(-.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) 0)
(-.f64 0 (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) 1)
(/.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)) 2)
(/.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)) 4)
(/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) -1)
(/.f64 (.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) 4) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1))) -2)
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)) 4)) 16)
(pow.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) 1)
(neg.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)) 0)
(+.f64 0 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) x)))
(+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) (.f64 x -2)) (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) (.f64 x -2)))
(+.f64 (/.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)) 2) (/.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)) 2))
(+.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) x)) -1)
(-.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)) 0)
(-.f64 0 (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) x))
(.f64 1 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 1 x))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)) 1)
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 x))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)) (.f64 (/.f64 1 x) 1/2))
(.f64 2 (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) (*.f64 x -2)))
(.f64 2 (/.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)) 2))
(.f64 2 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 1/2 x))))
(.f64 2 (.f64 (sin.f64 x) (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 1/2 x))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x) (*.f64 (sin.f64 x) 1/2)))
(.f64 2 (.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x) (sin.f64 x))
(.f64 -1 (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) x))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 x))) 1/2)
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 2) (*.f64 (sin.f64 x) (/.f64 1/2 x)))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 2) (.f64 (/.f64 1 x) (.f64 (sin.f64 x) 1/2)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 1/2 x)))
(.f64 (.f64 (sin.f64 x) 2) (.f64 (/.f64 1 x) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x) 1/2))
(.f64 (/.f64 1 x) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) (/.f64 -1 x))
(.f64 (/.f64 -2 (/.f64 x (+.f64 (/.f64 1 (cos.f64 x)) -1))) (.f64 (sin.f64 x) 1/2))
(.f64 (.f64 (sin.f64 x) (/.f64 2 x)) (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2))
(.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) x) -1)
(.f64 1/2 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 x))))
(.f64 (/.f64 1/2 x) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 (sin.f64 x) 2))
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 2))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2) (*.f64 (sin.f64 x) (/.f64 2 x)))
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 -2 (/.f64 x (+.f64 (/.f64 1 (cos.f64 x)) -1))))
(.f64 (.f64 (/.f64 1 x) 1/2) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)))
(.f64 (.f64 (/.f64 1 x) (.f64 (sin.f64 x) 1/2)) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 2))
(.f64 (.f64 (/.f64 1 x) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2)) (.f64 (sin.f64 x) 2))
(.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) (*.f64 x -2)) 2)
(.f64 (/.f64 -1 x) (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)))
(.f64 (/.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)) 2) 2)
(.f64 (/.f64 1 (.f64 x 4)) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 1/2 x))) 2)
(.f64 (.f64 (sin.f64 x) (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 1/2 x))) 2)
(.f64 (.f64 (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x) (*.f64 (sin.f64 x) 1/2)) 2)
(.f64 (.f64 (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x) 1/2) (*.f64 (sin.f64 x) 2))
(.f64 (.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 1/2 x)) 2)
(pow.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)) 1)
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) 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 -1 (-.f64 (/.f64 1 (cos.f64 x)) -1))
(+.f64 (+.f64 (/.f64 1 (cos.f64 x)) -1) 1)
(+.f64 (/.f64 1 (.f64 (cos.f64 x) 2)) (/.f64 1 (.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (/.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1 (cos.f64 x)) 2))
(-.f64 1 (-.f64 1 (/.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (cos.f64 x)) 0)
(-.f64 0 (-.f64 0 (/.f64 1 (cos.f64 x))))
(-.f64 (+.f64 (/.f64 1 (cos.f64 x)) -1) -1)
(-.f64 (-.f64 (/.f64 1 (cos.f64 x)) -1) 1)
(*.f64 1 (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 x)) 1)
(.f64 2 (/.f64 1 (.f64 (cos.f64 x) 2)))
(*.f64 2 (/.f64 (/.f64 1 (cos.f64 x)) 2))
(.f64 (.f64 (/.f64 1 (cos.f64 x)) 2) 1/2)
(.f64 1/2 (.f64 (/.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) 2) 2)
(pow.f64 (/.f64 1 (cos.f64 x)) 1)
(neg.f64 (-.f64 0 (/.f64 1 (cos.f64 x))))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 -5/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/24 (pow.f64 x 4)) (*.f64 -61/720 (pow.f64 x 6))))
(+.f64 (.f64 -277/8064 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (.f64 -5/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -5/24 (pow.f64 x 4)) (.f64 -61/720 (pow.f64 x 6))) (.f64 -277/8064 (pow.f64 x 8))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/24 (pow.f64 x 4)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (.f64 -277/8064 (pow.f64 x 8)))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 5)))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 5)) (*.f64 -13/240 (pow.f64 x 7))))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -529/24192 (pow.f64 x 9)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (+.f64 (.f64 -1/8 (pow.f64 x 5)) (.f64 -529/24192 (pow.f64 x 9)))))
(+.f64 (.f64 -13/240 (pow.f64 x 7)) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 5))) (.f64 -529/24192 (pow.f64 x 9))))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 5)) (+.f64 (.f64 -13/240 (pow.f64 x 7)) (.f64 -529/24192 (pow.f64 x 9)))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (+.f64 1 (/.f64 -1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (+.f64 1 (/.f64 -1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (+.f64 1 (/.f64 -1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (+.f64 1 (/.f64 -1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (+.f64 1 (/.f64 -1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (+.f64 1 (/.f64 -1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (+.f64 1 (/.f64 -1 (cos.f64 x))))
(*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (+.f64 1 (/.f64 -1 (cos.f64 x))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/8))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 4) -1/8) (+.f64 (.f64 (pow.f64 x 6) -13/240) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 4) -1/8) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) -13/240)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/8) (*.f64 (pow.f64 x 6) -13/240)))
(+.f64 (.f64 -529/24192 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -13/240 (pow.f64 x 6)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/8) (+.f64 (.f64 (pow.f64 x 6) -13/240) (.f64 -1/2 (pow.f64 x 2)))) (.f64 (pow.f64 x 8) -529/24192))
(+.f64 (.f64 (pow.f64 x 4) -1/8) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 6) -13/240)) (.f64 (pow.f64 x 8) -529/24192)))
(+.f64 (.f64 (pow.f64 x 4) -1/8) (+.f64 (.f64 (pow.f64 x 8) -529/24192) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 6) -13/240))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x)))) x)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) 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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 4) 5/24)))
(+.f64 (.f64 61/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 4) 5/24)) (*.f64 (pow.f64 x 6) 61/720)))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 4) 5/24)) (+.f64 (*.f64 (pow.f64 x 6) 61/720) 1))
(+.f64 (.f64 (pow.f64 x 4) 5/24) (+.f64 (+.f64 1 (.f64 (pow.f64 x 2) 1/2)) (*.f64 (pow.f64 x 6) 61/720)))
(+.f64 (+.f64 1 (.f64 (pow.f64 x 2) 1/2)) (+.f64 (.f64 (pow.f64 x 4) 5/24) (*.f64 (pow.f64 x 6) 61/720)))
(+.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 0)
(-.f64 1 (/.f64 1 (cos.f64 x)))
(+.f64 1 (/.f64 -1 (cos.f64 x)))
(+.f64 0 (-.f64 1 (/.f64 1 (cos.f64 x))))
(-.f64 1 (/.f64 1 (cos.f64 x)))
(+.f64 1 (/.f64 -1 (cos.f64 x)))
(+.f64 -1 (-.f64 2 (/.f64 1 (cos.f64 x))))
(-.f64 1 (/.f64 1 (cos.f64 x)))
(+.f64 1 (/.f64 -1 (cos.f64 x)))
(+.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2))
(-.f64 1 (/.f64 1 (cos.f64 x)))
(+.f64 1 (/.f64 -1 (cos.f64 x)))
(+.f64 (-.f64 2 (/.f64 1 (cos.f64 x))) -1)
(-.f64 1 (/.f64 1 (cos.f64 x)))
(+.f64 1 (/.f64 -1 (cos.f64 x)))
(*.f64 1 (-.f64 1 (/.f64 1 (cos.f64 x))))
(-.f64 1 (/.f64 1 (cos.f64 x)))
(+.f64 1 (/.f64 -1 (cos.f64 x)))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1)
(-.f64 1 (/.f64 1 (cos.f64 x)))
(+.f64 1 (/.f64 -1 (cos.f64 x)))
(.f64 2 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2))
(-.f64 1 (/.f64 1 (cos.f64 x)))
(+.f64 1 (/.f64 -1 (cos.f64 x)))
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(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (/.f64 1/2 x) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 1/2 x)) (*.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (sin.f64 x) (/.f64 1/2 x)) (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 2))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2) (*.f64 (sin.f64 x) (/.f64 2 x)))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (sin.f64 x) 1/2) (/.f64 -2 (/.f64 x (+.f64 (/.f64 1 (cos.f64 x)) -1))))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (/.f64 1 x) 1/2) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (/.f64 1 x) (.f64 (sin.f64 x) 1/2)) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 2))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (/.f64 1 x) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) 1/2)) (.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) (*.f64 x -2)) 2)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (/.f64 -1 x) (.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (/.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)) 2) 2)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 4)))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 1/2 x))) 2)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (sin.f64 x) (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 1/2 x))) 2)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x) (*.f64 (sin.f64 x) 1/2)) 2)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x) 1/2) (*.f64 (sin.f64 x) 2))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(.f64 (.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 1/2 x)) 2)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(pow.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x)) 1)
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1)) x))
(*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 -1 (cos.f64 x))) x))
(+.f64 1 (+.f64 (/.f64 1 (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 -1 (-.f64 (/.f64 1 (cos.f64 x)) -1))
(/.f64 1 (cos.f64 x))
(+.f64 (+.f64 (/.f64 1 (cos.f64 x)) -1) 1)
(/.f64 1 (cos.f64 x))
(+.f64 (/.f64 1 (.f64 (cos.f64 x) 2)) (/.f64 1 (.f64 (cos.f64 x) 2)))
(/.f64 1 (cos.f64 x))
(+.f64 (/.f64 (/.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1 (cos.f64 x)) 2))
(/.f64 1 (cos.f64 x))
(-.f64 1 (-.f64 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 0 (/.f64 1 (cos.f64 x))))
(/.f64 1 (cos.f64 x))
(-.f64 (+.f64 (/.f64 1 (cos.f64 x)) -1) -1)
(/.f64 1 (cos.f64 x))
(-.f64 (-.f64 (/.f64 1 (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 2 (/.f64 1 (.f64 (cos.f64 x) 2)))
(/.f64 1 (cos.f64 x))
(*.f64 2 (/.f64 (/.f64 1 (cos.f64 x)) 2))
(/.f64 1 (cos.f64 x))
(.f64 (.f64 (/.f64 1 (cos.f64 x)) 2) 1/2)
(/.f64 1 (cos.f64 x))
(.f64 1/2 (.f64 (/.f64 1 (cos.f64 x)) 2))
(/.f64 1 (cos.f64 x))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) 2) 2)
(/.f64 1 (cos.f64 x))
(pow.f64 (/.f64 1 (cos.f64 x)) 1)
(/.f64 1 (cos.f64 x))
(neg.f64 (-.f64 0 (/.f64 1 (cos.f64 x))))
(/.f64 1 (cos.f64 x))

eval81.0ms (0.4%)

Compiler: Compiled 4983 to 3062 computations (38.6% saved)

prune44.0ms (0.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	312	1	313
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	312	8	320

Error

Counts

320 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.1b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	34.3b	(/.f64 (-.f64 x (sin.f64 x)) x)
▶	34.3b	(/.f64 1 (/.f64 x (-.f64 x (sin.f64 x))))
✓	28.5b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓	34.4b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) x))
✓	34.4b	(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
	34.8b	1
	28.9b	-1/2

Compiler

Compiled 61 to 44 computations (27.9% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 x (sin.f64 x)))
✓	0.0b	(/.f64 1 (/.f64 x (-.f64 x (sin.f64 x))))
	2.1b	(-.f64 x (sin.f64 x))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`rational.json-1`
1520×	`rational.json-2`
1520×	`rational.json-3`
1518×	`rational.json-4`
1508×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	77	34
2	219	34
3	536	34
4	1531	34
5	4498	34

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1010×	`rational.json-simplify-2`
838×	`rational.json-simplify-41`
638×	`rational.json-simplify-44`
636×	`rational.json-simplify-53`
626×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	2381
1	377	2345
2	860	2345
3	3313	2123
4	5573	2123
5	7703	2123

Stop Event

1×	node limit

Counts

97 → 112

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(/.f64 6 (pow.f64 x 2))
(+.f64 3/10 (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 3/10 (+.f64 (.f64 11/1400 (pow.f64 x 2)) (.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 3/10 (+.f64 (.f64 11/1400 (pow.f64 x 2)) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 17/126000 (pow.f64 x 4)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) x) x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(+.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) x) x)) -1)
(-.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(-.f64 0 (/.f64 (-.f64 (sin.f64 x) x) x))
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) x))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(*.f64 2 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(.f64 (.f64 (-.f64 (sin.f64 x) x) -2) (/.f64 1/2 x))
(.f64 (.f64 (-.f64 (sin.f64 x) x) -2) (*.f64 (/.f64 1 x) 1/2))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 -1 x))
(*.f64 -1 (/.f64 (-.f64 (sin.f64 x) x) x))
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (/.f64 1 (*.f64 x 4)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1/2 (neg.f64 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 x)) 1/2)
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) x) -1)
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 (-.f64 (sin.f64 x) x) -2))
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (-.f64 (sin.f64 x) x) -2))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) 2)
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (-.f64 x (sin.f64 x)) 4))
(.f64 (/.f64 1/2 (neg.f64 x)) (.f64 (-.f64 x (sin.f64 x)) -2))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)) 2)
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) x))
(neg.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 (sin.f64 x) x))) x))
(+.f64 (/.f64 x (-.f64 x (sin.f64 x))) 0)
(+.f64 0 (/.f64 x (-.f64 x (sin.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 (sin.f64 x) x))))
(+.f64 (/.f64 x (.f64 (-.f64 (sin.f64 x) x) -2)) (/.f64 x (.f64 (-.f64 (sin.f64 x) x) -2)))
(+.f64 (-.f64 1 (/.f64 x (-.f64 (sin.f64 x) x))) -1)
(-.f64 (/.f64 x (-.f64 x (sin.f64 x))) 0)
(-.f64 0 (/.f64 x (-.f64 (sin.f64 x) x)))
(*.f64 1 (/.f64 x (-.f64 x (sin.f64 x))))
(*.f64 x (/.f64 1 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 x (-.f64 x (sin.f64 x))) 1)
(.f64 2 (/.f64 x (.f64 (-.f64 (sin.f64 x) x) -2)))
(.f64 2 (.f64 x (/.f64 1/2 (-.f64 x (sin.f64 x)))))
(.f64 (/.f64 (.f64 x -2) (-.f64 (sin.f64 x) x)) 1/2)
(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 x (sin.f64 x))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (-.f64 x (sin.f64 x))) 1/2))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 (sin.f64 x) x)))
(*.f64 -1 (/.f64 x (-.f64 (sin.f64 x) x)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (-.f64 x (sin.f64 x)) 4)))
(.f64 (.f64 (/.f64 x (-.f64 x (sin.f64 x))) 4) 1/4)
(*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) x)
(*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 -1 (/.f64 -1 x)))
(*.f64 (/.f64 x (-.f64 (sin.f64 x) x)) -1)
(.f64 (.f64 2 (/.f64 1 (-.f64 x (sin.f64 x)))) (/.f64 x 2))
(.f64 1/2 (/.f64 (.f64 x -2) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1/2 (-.f64 x (sin.f64 x))) (+.f64 x x))
(*.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) (neg.f64 x))
(.f64 (.f64 x -2) (/.f64 1/2 (-.f64 (sin.f64 x) x)))
(.f64 (.f64 (/.f64 1 (-.f64 x (sin.f64 x))) 1/2) (+.f64 x x))
(*.f64 (/.f64 -1 (/.f64 -1 x)) (/.f64 1 (-.f64 x (sin.f64 x))))
(.f64 (/.f64 x (.f64 (-.f64 (sin.f64 x) x) -2)) 2)
(.f64 1/4 (.f64 (/.f64 x (-.f64 x (sin.f64 x))) 4))
(.f64 (/.f64 x 2) (.f64 2 (/.f64 1 (-.f64 x (sin.f64 x)))))
(.f64 (/.f64 1 (.f64 (-.f64 x (sin.f64 x)) 4)) (*.f64 x 4))
(.f64 (/.f64 1/2 (-.f64 (sin.f64 x) x)) (.f64 x -2))
(.f64 (.f64 x (/.f64 1/2 (-.f64 x (sin.f64 x)))) 2)
(pow.f64 (/.f64 x (-.f64 x (sin.f64 x))) 1)
(neg.f64 (/.f64 x (-.f64 (sin.f64 x) x)))
(neg.f64 (/.f64 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))) (/.f64 x (-.f64 (sin.f64 x) x))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/120 (pow.f64 x 4)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/5040 (pow.f64 x 6)) (*.f64 -1/120 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/120 (pow.f64 x 4)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6))) (.f64 -1/362880 (pow.f64 x 8))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/5040 (pow.f64 x 6))) (.f64 -1/362880 (pow.f64 x 8))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/5040 (pow.f64 x 6)) (.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 6 (pow.f64 x 2))
(+.f64 3/10 (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 3/10 (+.f64 (.f64 11/1400 (pow.f64 x 2)) (.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 3/10 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 11/1400)))
(+.f64 3/10 (+.f64 (.f64 11/1400 (pow.f64 x 2)) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 17/126000 (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 x 2) 11/1400) (+.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 4) 17/126000)) 3/10))
(+.f64 3/10 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 2) 11/1400) (*.f64 (pow.f64 x 4) 17/126000))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(/.f64 (-.f64 x (sin.f64 x)) x)
(+.f64 0 (/.f64 (-.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) x) x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(+.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) x) x)) -1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(-.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 0)
(/.f64 (-.f64 x (sin.f64 x)) x)
(-.f64 0 (/.f64 (-.f64 (sin.f64 x) x) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 1 (/.f64 (-.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 2 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(.f64 (.f64 (-.f64 (sin.f64 x) x) -2) (/.f64 1/2 x))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(.f64 (.f64 (-.f64 (sin.f64 x) x) -2) (*.f64 (/.f64 1 x) 1/2))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 -1 x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 -1 (/.f64 (-.f64 (sin.f64 x) x) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (-.f64 x (sin.f64 x)) 4) (/.f64 1 (*.f64 x 4)))
(.f64 (-.f64 x (sin.f64 x)) (.f64 4 (/.f64 1 (*.f64 x 4))))
(.f64 4 (.f64 (/.f64 1/4 x) (-.f64 x (sin.f64 x))))
(.f64 4 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/4 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) -2) (/.f64 1/2 (neg.f64 x)))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 x)) 1/2)
(.f64 (-.f64 x (sin.f64 x)) (.f64 (/.f64 2 x) 1/2))
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) x) -1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 1/2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 2 x)))
(.f64 (-.f64 x (sin.f64 x)) (.f64 (/.f64 2 x) 1/2))
(.f64 (-.f64 x (sin.f64 x)) (.f64 1/2 (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 (-.f64 (sin.f64 x) x) -2))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 -1 x) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (-.f64 (sin.f64 x) x) -2))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))) (/.f64 1 x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) 2)
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (-.f64 x (sin.f64 x)) 4))
(.f64 (-.f64 x (sin.f64 x)) (.f64 4 (/.f64 1 (*.f64 x 4))))
(.f64 4 (.f64 (/.f64 1/4 x) (-.f64 x (sin.f64 x))))
(.f64 4 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/4 x)))
(.f64 (/.f64 1/2 (neg.f64 x)) (.f64 (-.f64 x (sin.f64 x)) -2))
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(.f64 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)) 2)
(+.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x x)))
(.f64 2 (.f64 (-.f64 x (sin.f64 x)) (/.f64 1/2 x)))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) x) 1)
(/.f64 (-.f64 x (sin.f64 x)) x)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(neg.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 x (sin.f64 x)))) (neg.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) x)
(neg.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 (sin.f64 x) x))) x))
(/.f64 (-.f64 x (sin.f64 x)) x)
(+.f64 (/.f64 x (-.f64 x (sin.f64 x))) 0)
(/.f64 x (-.f64 x (sin.f64 x)))
(+.f64 0 (/.f64 x (-.f64 x (sin.f64 x))))
(/.f64 x (-.f64 x (sin.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 (sin.f64 x) x))))
(/.f64 x (-.f64 x (sin.f64 x)))
(+.f64 (/.f64 x (.f64 (-.f64 (sin.f64 x) x) -2)) (/.f64 x (.f64 (-.f64 (sin.f64 x) x) -2)))
(/.f64 x (-.f64 x (sin.f64 x)))
(+.f64 (-.f64 1 (/.f64 x (-.f64 (sin.f64 x) x))) -1)
(/.f64 x (-.f64 x (sin.f64 x)))
(-.f64 (/.f64 x (-.f64 x (sin.f64 x))) 0)
(/.f64 x (-.f64 x (sin.f64 x)))
(-.f64 0 (/.f64 x (-.f64 (sin.f64 x) x)))
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 1 (/.f64 x (-.f64 x (sin.f64 x))))
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 x (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 x (-.f64 x (sin.f64 x))) 1)
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (-.f64 (sin.f64 x) x) -2)))
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 2 (.f64 x (/.f64 1/2 (-.f64 x (sin.f64 x)))))
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 (/.f64 (.f64 x -2) (-.f64 (sin.f64 x) x)) 1/2)
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 (+.f64 x x) (/.f64 1/2 (-.f64 x (sin.f64 x))))
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (-.f64 x (sin.f64 x))) 1/2))
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 (sin.f64 x) x)))
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 -1 (/.f64 x (-.f64 (sin.f64 x) x)))
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (-.f64 x (sin.f64 x)) 4)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (-.f64 x (sin.f64 x)))))
(.f64 (.f64 x 4) (/.f64 -1/4 (-.f64 (sin.f64 x) x)))
(.f64 4 (.f64 x (/.f64 1/4 (-.f64 x (sin.f64 x)))))
(.f64 (.f64 (/.f64 x (-.f64 x (sin.f64 x))) 4) 1/4)
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) x)
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 -1 (/.f64 -1 x)))
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 x (-.f64 (sin.f64 x) x)) -1)
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 (.f64 2 (/.f64 1 (-.f64 x (sin.f64 x)))) (/.f64 x 2))
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 x -2) (-.f64 (sin.f64 x) x)))
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1/2 (-.f64 x (sin.f64 x))) (+.f64 x x))
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 (.f64 x -2) (/.f64 1/2 (-.f64 (sin.f64 x) x)))
(.f64 x (.f64 -2 (/.f64 1/2 (-.f64 (sin.f64 x) x))))
(.f64 -2 (.f64 x (/.f64 1/2 (-.f64 (sin.f64 x) x))))
(.f64 (/.f64 1/2 (-.f64 (sin.f64 x) x)) (.f64 x -2))
(.f64 -2 (/.f64 (.f64 x 1/2) (-.f64 (sin.f64 x) x)))
(.f64 (.f64 (/.f64 1 (-.f64 x (sin.f64 x))) 1/2) (+.f64 x x))
(/.f64 x (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 -1 x)) (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 (/.f64 x (.f64 (-.f64 (sin.f64 x) x) -2)) 2)
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 1/4 (.f64 (/.f64 x (-.f64 x (sin.f64 x))) 4))
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 (/.f64 x 2) (.f64 2 (/.f64 1 (-.f64 x (sin.f64 x)))))
(/.f64 x (-.f64 x (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (-.f64 x (sin.f64 x)) 4)) (*.f64 x 4))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (-.f64 x (sin.f64 x)))))
(.f64 (.f64 x 4) (/.f64 -1/4 (-.f64 (sin.f64 x) x)))
(.f64 4 (.f64 x (/.f64 1/4 (-.f64 x (sin.f64 x)))))
(.f64 (/.f64 1/2 (-.f64 (sin.f64 x) x)) (.f64 x -2))
(.f64 x (.f64 -2 (/.f64 1/2 (-.f64 (sin.f64 x) x))))
(.f64 -2 (.f64 x (/.f64 1/2 (-.f64 (sin.f64 x) x))))
(.f64 -2 (/.f64 (.f64 x 1/2) (-.f64 (sin.f64 x) x)))
(.f64 (.f64 x (/.f64 1/2 (-.f64 x (sin.f64 x)))) 2)
(/.f64 x (-.f64 x (sin.f64 x)))
(pow.f64 (/.f64 x (-.f64 x (sin.f64 x))) 1)
(/.f64 x (-.f64 x (sin.f64 x)))
(neg.f64 (/.f64 x (-.f64 (sin.f64 x) x)))
(/.f64 x (-.f64 x (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 x (/.f64 (/.f64 x (-.f64 x (sin.f64 x))) (-.f64 x (sin.f64 x)))) (/.f64 x (-.f64 (sin.f64 x) x))))
(/.f64 x (-.f64 x (sin.f64 x)))

eval92.0ms (0.5%)

Compiler: Compiled 2214 to 1290 computations (41.7% saved)

prune74.0ms (0.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	0	2	2
Picked	1	0	1
Done	1	4	5
Total	177	8	185

Error

Counts

185 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.1b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	34.3b	(/.f64 (-.f64 x (sin.f64 x)) x)
	34.8b	(/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x)))
✓	28.5b	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓	34.4b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 (cos.f64 x))) (sin.f64 x)) x))
	34.4b	(neg.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 (sin.f64 x) x))) x))
	34.8b	1
	28.9b	-1/2

Compiler

Compiled 64 to 48 computations (25% saved)

regimes61.0ms (0.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
19.0ms	x

Results

Error	Segments	Branch
0.0b	3	`x`
0.1b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 97 to 54 computations (44.3% saved)

bsearch122.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	3.5035602117159033e-6	860.8488451484944
96.0ms	-38.13249112823891	-1.0422068863280242e-6

Results

118.0ms

288×

body

256

valid

Compiler

Compiled 374 to 279 computations (25.4% saved)

regimes17.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 53 to 31 computations (41.5% saved)

bsearch113.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	3.5035602117159033e-6	860.8488451484944
88.0ms	-38.13249112823891	-1.0422068863280242e-6

Results

109.0ms

288×

body

256

valid

Compiler

Compiled 230 to 207 computations (10% saved)

regimes107.0ms (0.6%)

Accuracy

Total -62.3b remaining (-8814.8%)

Threshold costs -62.3b (-8814.8%)

Counts

3 → 3

Calls

Call 1

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

Outputs
1
-1/2
1

Calls

1 calls:

106.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch51.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	3.5035602117159033e-6	860.8488451484944
25.0ms	-38.13249112823891	-1.0422068863280242e-6

Results

47.0ms

288×

body

256

valid

Compiler

Compiled 122 to 117 computations (4.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	152

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3112888062438487/576460752303423488) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -9/2) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) 1))
(if (<=.f64 x -6980579422424269/4503599627370496) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2

Outputs
(if (<=.f64 x -1498797955988901/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3112888062438487/576460752303423488) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -9/2) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) 1))
(if (<=.f64 x -6980579422424269/4503599627370496) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2

Compiler

Compiled 66 to 45 computations (31.8% saved)

soundness0.0ms (0%)

end953.0ms (5%)

Compiler: Compiled 63 to 42 computations (33.3% saved)

Details

analyze468.0ms (2.5%)

sample14.3s (75.4%)

preprocess116.0ms (0.6%)

simplify107.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0%)

series3.0ms (0%)

rewrite100.0ms (0.5%)

simplify124.0ms (0.7%)

eval50.0ms (0.3%)

prune40.0ms (0.2%)

localize12.0ms (0.1%)

series5.0ms (0%)

rewrite86.0ms (0.5%)

simplify127.0ms (0.7%)

localize8.0ms (0%)

series1.0ms (0%)

rewrite265.0ms (1.4%)

simplify428.0ms (2.3%)

localize6.0ms (0%)

series1.0ms (0%)

rewrite78.0ms (0.4%)

simplify113.0ms (0.6%)

eval96.0ms (0.5%)

prune60.0ms (0.3%)

localize9.0ms (0%)

series0.0ms (0%)

rewrite91.0ms (0.5%)

simplify74.0ms (0.4%)

localize20.0ms (0.1%)

series4.0ms (0%)

rewrite81.0ms (0.4%)

simplify123.0ms (0.7%)

eval81.0ms (0.4%)

prune44.0ms (0.2%)

localize8.0ms (0%)

series1.0ms (0%)

rewrite79.0ms (0.4%)

simplify144.0ms (0.8%)

eval92.0ms (0.5%)

prune74.0ms (0.4%)

regimes61.0ms (0.3%)

bsearch122.0ms (0.6%)

regimes17.0ms (0.1%)

bsearch113.0ms (0.6%)

regimes107.0ms (0.6%)

bsearch51.0ms (0.3%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end953.0ms (5%)

Profiling