Details

analyze308.0ms (0.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
75%	75%	25%	0%	0%	0%	0%	5
75%	75%	25%	0%	0%	0%	0%	6
78.1%	78.1%	21.9%	0%	0%	0%	0%	7
78.1%	78.1%	21.9%	0%	0%	0%	0%	8
78.1%	78.1%	21.9%	0%	0%	0%	0%	9
78.1%	78.1%	21.9%	0%	0%	0%	0%	10
78.1%	78.1%	21.9%	0%	0%	0%	0%	11
78.1%	78.1%	21.9%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample13.8s (24.9%)

Results

7.7s	2079×	body	2048	valid
2.3s	1131×	body	1024	valid
1.7s	1516×	body	512	valid
1.7s	3427×	body	256	valid
261.0ms	103×	body	4096	valid

Bogosity

preprocess217.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1528×	`rational_best-simplify-57`
1282×	`rational_best-simplify-66`
996×	`rational_best-simplify-67`
894×	`rational_best-simplify-3`
732×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	18	23
2	43	23
3	107	23
4	270	23
5	770	23
6	3104	23
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify264.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational_best-simplify-57`
1282×	`rational_best-simplify-66`
996×	`rational_best-simplify-67`
894×	`rational_best-simplify-3`
732×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	18	23
2	43	23
3	107	23
4	270	23
5	770	23
6	3104	23

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

33.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.2b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize31.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.2b	(-.f64 1 (cos.f64 x))
✓	15.1b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite650.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`rational_best-simplify-1`
912×	`rational_best-simplify-56`
752×	`rational_best-simplify-3`
596×	`rational_best-simplify-58`
468×	`rational_best-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	64	34
2	178	34
3	736	34
4	5609	34

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs
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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (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 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (cos.f64 x)) 2) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (cos.f64 x) 2)) (-.f64 1 (/.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) 2) (/.f64 (neg.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 3) 4) (/.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 -2 (cos.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 -2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) 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 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 -2 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 x) -1))))))

simplify610.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1324×	`rational_best-simplify-64`
1320×	`rational_best-simplify-1`
992×	`rational_best-simplify-47`
728×	`rational_best-simplify-63`
580×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	5084
1	942	4480
2	3597	4184

Stop Event

1×	node limit

Counts

172 → 189

Calls

Call 1

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

eval224.0ms (0.4%)

Compiler: Compiled 3054 to 1614 computations (47.2% saved)

prune170.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	174	15	189
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	16	190

Error

0.1b

Counts

190 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.4b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (/.f64 x x)))
	33.2b	(/.f64 (-.f64 (-.f64 1 (cos.f64 x)) (-.f64 (.f64 2 (cos.f64 x)) (-.f64 3 (cos.f64 x)))) (.f64 x (*.f64 x 4)))
✓	33.2b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	32.9b	(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (/.f64 -1 (*.f64 x x)))
	32.8b	(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
	32.9b	(-.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 x (+.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
	32.9b	(-.f64 (/.f64 1/2 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 x (+.f64 x x))))
	45.9b	(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) -1)
▶	30.0b	(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2)))))
▶	30.0b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
	32.9b	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
▶	37.7b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 (/.f64 1 x)))
	32.4b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶	33.2b	(.f64 (/.f64 2 (.f64 x x)) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))
	37.7b	(.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 x)))
	29.2b	1/2

Compiler

Compiled 435 to 298 computations (31.5% saved)

localize123.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/720 (pow.f64 x 4))
✓	0.2b	(*.f64 -1/24 (pow.f64 x 2))
✓	0.3b	(*.f64 -1/40320 (pow.f64 x 6))
✓	24.5b	(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2))))

Compiler

Compiled 80 to 65 computations (18.8% saved)

series48.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	(*.f64 1/720 (pow.f64 x 4))
17.0ms	x	@	inf	(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2))))
1.0ms	x	@	0	(*.f64 -1/40320 (pow.f64 x 6))
1.0ms	x	@	0	(*.f64 1/720 (pow.f64 x 4))
1.0ms	x	@	0	(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2))))

rewrite396.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`rational_best-simplify-51`
918×	`rational_best-simplify-63`
848×	`rational_best-4`
848×	`rational_best-2`
848×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	114	88
2	209	88
3	513	88
4	2067	88

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/24 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/24 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (pow.f64 x 2) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/24 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 1/24) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) -1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) -1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (pow.f64 x 2) -1/6)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (pow.f64 x 2) -1/12)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 2) -1/6)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (.f64 (pow.f64 x 2) -1/12)) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (.f64 (pow.f64 x 2) -1/6)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/24 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (pow.f64 x 2) 1/24))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) 2) (/.f64 (.f64 1/720 (pow.f64 x 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/720 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (pow.f64 x 4) -1/720))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) 2) (/.f64 (.f64 1/720 (pow.f64 x 4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 4) -1/720) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 4) 1/360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 4) 1/180) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/180)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (pow.f64 x 4) -1/720))))))

simplify590.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1244×	`rational_best-simplify-3`
872×	`rational_best-simplify-59`
836×	`rational_best-simplify-83`
810×	`rational_best-simplify-64`
806×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	7025
1	1007	7011
2	3233	6927

Stop Event

1×	node limit

Counts

183 → 201

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(-.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (*.f64 (pow.f64 x 2) 1/24)))
(-.f64 (.f64 -1/40320 (pow.f64 x 6)) (-.f64 (.f64 (pow.f64 x 2) 1/24) (*.f64 1/720 (pow.f64 x 4))))
(-.f64 (.f64 -1/40320 (pow.f64 x 6)) (-.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 2) -1/12) (.f64 (pow.f64 x 4) -1/720))))
(-.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (*.f64 (pow.f64 x 4) -1/720)))
(-.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/40320))) (*.f64 (pow.f64 x 4) -1/720)))
(-.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))) (*.f64 (pow.f64 x 4) -1/720))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2)))) 0)
(-.f64 0 (+.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (*.f64 (pow.f64 x 4) -1/720))))
(-.f64 0 (+.f64 (-.f64 (.f64 (pow.f64 x 2) 1/24) (.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 6) 1/40320)))
(-.f64 (-.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 (pow.f64 x 6) 1/40320)) (*.f64 (pow.f64 x 2) 1/24))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 2))) (*.f64 (pow.f64 x 6) 1/40320))
(-.f64 (.f64 (pow.f64 x 6) -1/20160) (+.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 (pow.f64 x 2) 1/24)) (.f64 (pow.f64 x 4) -1/720)))
(-.f64 (.f64 (pow.f64 x 2) -1/12) (+.f64 (.f64 (pow.f64 x 4) -1/720) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/40320))))
(-.f64 (.f64 (pow.f64 x 2) -1/12) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 4) -1/720))))
(-.f64 (.f64 (pow.f64 x 2) -1/12) (-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/40320)) (.f64 1/720 (pow.f64 x 4))))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) -1/12) (.f64 (pow.f64 x 6) 1/20160)) (+.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))) (*.f64 (pow.f64 x 4) -1/720)))
(-.f64 (.f64 (pow.f64 x 4) 1/360) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 2) 1/24))))
(-.f64 (.f64 (pow.f64 x 4) 1/360) (+.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 (pow.f64 x 6) 1/40320)) (.f64 (pow.f64 x 2) 1/24)))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) -1/12) (-.f64 (.f64 (pow.f64 x 4) 1/360) (.f64 (pow.f64 x 6) 1/20160))) 4) (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 4) -1/720))) 2))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) -1/12) (-.f64 (.f64 (pow.f64 x 4) 1/360) (.f64 (pow.f64 x 6) 1/20160))) 4) (neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) -1/12) (-.f64 (.f64 (pow.f64 x 4) 1/360) (.f64 (pow.f64 x 6) 1/20160))) 4)))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (-.f64 (-.f64 (.f64 (pow.f64 x 2) 1/24) (.f64 1/720 (pow.f64 x 4))) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2)))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) -2) (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 2)))))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (-.f64 0 (+.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 2))) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2))))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (-.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 1/720 (pow.f64 x 4)) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2))))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (-.f64 (.f64 (pow.f64 x 4) -1/720) (-.f64 (.f64 -1/24 (pow.f64 x 2)) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) -2))))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (+.f64 (-.f64 (.f64 (pow.f64 x 2) 1/24) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2)) (.f64 (pow.f64 x 4) -1/720)))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (-.f64 (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 4) -1/720)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2)))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (-.f64 (.f64 (pow.f64 x 4) -1/720) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2))))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (-.f64 (.f64 (pow.f64 x 6) 1/40320) (+.f64 (.f64 1/720 (pow.f64 x 4)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2))))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (-.f64 (.f64 (pow.f64 x 4) -1/720) (-.f64 (.f64 -1/40320 (pow.f64 x 6)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2))))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 4) -1/720))))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (+.f64 (-.f64 (.f64 (pow.f64 x 6) 1/40320) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2)) (.f64 (pow.f64 x 4) -1/720)))
(-.f64 (/.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))) 2) (-.f64 (.f64 (pow.f64 x 4) -1/720) (/.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2))) 2)))
(-.f64 (/.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))) 2) (-.f64 0 (+.f64 (.f64 1/720 (pow.f64 x 4)) (/.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2))) 2))))
(-.f64 (/.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))) 2) (+.f64 (/.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))) -2) (*.f64 (pow.f64 x 4) -1/720)))
(-.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) 2) (-.f64 (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 2) 1/24)) (/.f64 (.f64 1/720 (pow.f64 x 4)) 2)))
(-.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) 2) (-.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (/.f64 (.f64 1/720 (pow.f64 x 4)) 2))))
(-.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) 2) (-.f64 (.f64 (pow.f64 x 6) 1/40320) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (/.f64 (.f64 1/720 (pow.f64 x 4)) 2))))
(-.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) 2) (-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/40320)) (+.f64 (.f64 (pow.f64 x 2) -1/12) (/.f64 (*.f64 1/720 (pow.f64 x 4)) 2))))
(-.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) 2) (+.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) -2) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 2) 1/24))))
(-.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) 2) (+.f64 (-.f64 (.f64 (pow.f64 x 6) 1/40320) (/.f64 (.f64 1/720 (pow.f64 x 4)) 2)) (.f64 (pow.f64 x 2) 1/24)))
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(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/180)) 8)
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(neg.f64 (*.f64 (pow.f64 x 4) -1/720))

Outputs
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6)))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 1/720 (pow.f64 x 4)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6)))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (*.f64 (pow.f64 x 2) 1/24)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (.f64 -1/40320 (pow.f64 x 6)) (-.f64 (.f64 (pow.f64 x 2) 1/24) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (.f64 -1/40320 (pow.f64 x 6)) (-.f64 (.f64 -1/24 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 2) -1/12) (.f64 (pow.f64 x 4) -1/720))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (*.f64 (pow.f64 x 4) -1/720)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/40320))) (*.f64 (pow.f64 x 4) -1/720)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))) (*.f64 (pow.f64 x 4) -1/720))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2)))) 0)
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 0 (+.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (*.f64 (pow.f64 x 4) -1/720))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 0 (+.f64 (-.f64 (.f64 (pow.f64 x 2) 1/24) (.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 6) 1/40320)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (-.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 (pow.f64 x 6) 1/40320)) (*.f64 (pow.f64 x 2) 1/24))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 2))) (*.f64 (pow.f64 x 6) 1/40320))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (.f64 (pow.f64 x 6) -1/20160) (+.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 (pow.f64 x 2) 1/24)) (.f64 (pow.f64 x 4) -1/720)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (.f64 (pow.f64 x 2) -1/12) (+.f64 (.f64 (pow.f64 x 4) -1/720) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/40320))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (.f64 (pow.f64 x 2) -1/12) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 4) -1/720))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (.f64 (pow.f64 x 2) -1/12) (-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/40320)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) -1/12) (.f64 (pow.f64 x 6) 1/20160)) (+.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))) (*.f64 (pow.f64 x 4) -1/720)))
(-.f64 (.f64 (pow.f64 x 2) -1/12) (+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/720) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 -1/40320 (pow.f64 x 6)))) (*.f64 (pow.f64 x 6) 1/20160)))
(+.f64 (neg.f64 (.f64 (pow.f64 x 4) -1/720)) (-.f64 (-.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 -1/40320 (pow.f64 x 6))) (.f64 (pow.f64 x 6) 1/20160)))
(+.f64 (.f64 (pow.f64 x 6) -1/20160) (-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/40320)) (.f64 (pow.f64 x 4) -1/720)))
(-.f64 (.f64 (pow.f64 x 4) 1/360) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 2) 1/24))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (.f64 (pow.f64 x 4) 1/360) (+.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 (pow.f64 x 6) 1/40320)) (.f64 (pow.f64 x 2) 1/24)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) -1/12) (-.f64 (.f64 (pow.f64 x 4) 1/360) (.f64 (pow.f64 x 6) 1/20160))) 4) (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 4) -1/720))) 2))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) -1/12) (-.f64 (.f64 (pow.f64 x 4) 1/360) (.f64 (pow.f64 x 6) 1/20160))) 4) (neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) -1/12) (-.f64 (.f64 (pow.f64 x 4) 1/360) (.f64 (pow.f64 x 6) 1/20160))) 4)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (-.f64 (-.f64 (.f64 (pow.f64 x 2) 1/24) (.f64 1/720 (pow.f64 x 4))) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) -2) (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 2)))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (-.f64 0 (+.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 2))) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (-.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 1/720 (pow.f64 x 4)) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (-.f64 (.f64 (pow.f64 x 4) -1/720) (-.f64 (.f64 -1/24 (pow.f64 x 2)) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) -2))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (+.f64 (-.f64 (.f64 (pow.f64 x 2) 1/24) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2)) (.f64 (pow.f64 x 4) -1/720)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (-.f64 (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 4) -1/720)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (-.f64 (.f64 (pow.f64 x 4) -1/720) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (-.f64 (.f64 (pow.f64 x 6) 1/40320) (+.f64 (.f64 1/720 (pow.f64 x 4)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (-.f64 (.f64 (pow.f64 x 4) -1/720) (-.f64 (.f64 -1/40320 (pow.f64 x 6)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (.f64 (pow.f64 x 4) -1/720))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (+.f64 (-.f64 (.f64 (pow.f64 x 6) 1/40320) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2)) (.f64 (pow.f64 x 4) -1/720)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))) 2) (-.f64 (.f64 (pow.f64 x 4) -1/720) (/.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2))) 2)))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(-.f64 (/.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))) 2) (-.f64 0 (+.f64 (.f64 1/720 (pow.f64 x 4)) (/.f64 (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2))) 2))))
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(neg.f64 (+.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (*.f64 (pow.f64 x 4) -1/720))))
(+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))))
(+.f64 (*.f64 -1/40320 (pow.f64 x 6)) 0)
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 0 (*.f64 -1/40320 (pow.f64 x 6)))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/40320))))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (-.f64 (.f64 -1/40320 (pow.f64 x 6)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)) (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (.f64 -1/24 (pow.f64 x 2))))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (.f64 -1/24 (pow.f64 x 2))) (-.f64 (.f64 -1/40320 (pow.f64 x 6)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2)) (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 2))))
(*.f64 -1/40320 (pow.f64 x 6))
(-.f64 (*.f64 -1/40320 (pow.f64 x 6)) 0)
(*.f64 -1/40320 (pow.f64 x 6))
(-.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) 1/40320)))
(*.f64 -1/40320 (pow.f64 x 6))
(-.f64 0 (*.f64 (pow.f64 x 6) 1/40320))
(*.f64 -1/40320 (pow.f64 x 6))
(-.f64 0 (+.f64 (.f64 (pow.f64 x 2) 1/24) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) 1/40320))))
(*.f64 -1/40320 (pow.f64 x 6))
(-.f64 (/.f64 (.f64 -1/40320 (pow.f64 x 6)) 2) (/.f64 (.f64 -1/40320 (pow.f64 x 6)) -2))
(*.f64 -1/40320 (pow.f64 x 6))
(-.f64 (-.f64 (.f64 -1/40320 (pow.f64 x 6)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)) (-.f64 (.f64 -1/24 (pow.f64 x 2)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2)))
(*.f64 -1/40320 (pow.f64 x 6))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 (pow.f64 x 6) 1/40320))) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2))
(*.f64 -1/40320 (pow.f64 x 6))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (.f64 -1/24 (pow.f64 x 2))) (-.f64 (.f64 (pow.f64 x 6) 1/40320) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2)))
(*.f64 -1/40320 (pow.f64 x 6))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (+.f64 (.f64 (pow.f64 x 6) 1/40320) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2))) (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 2)))
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (*.f64 -1/40320 (pow.f64 x 6)) 1)
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) 1/40320) -1)
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) -1/20160) 2)
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) 1/20160) -2)
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) -1/10080) 4)
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 6) -1/10080)) -4)
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (.f64 2 (.f64 (pow.f64 x 6) -1/10080)) 8)
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (-.f64 0 (*.f64 (pow.f64 x 6) -1/10080)) -4)
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 6) -1/10080)) -1) 4)
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (/.f64 (-.f64 0 (*.f64 (pow.f64 x 6) -1/10080)) -1) 4)
(*.f64 -1/40320 (pow.f64 x 6))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) -1/12) (+.f64 (.f64 (pow.f64 x 2) -1/12) (*.f64 (pow.f64 x 6) 1/20160))) 2)
(*.f64 -1/40320 (pow.f64 x 6))
(pow.f64 (*.f64 -1/40320 (pow.f64 x 6)) 1)
(*.f64 -1/40320 (pow.f64 x 6))
(neg.f64 (*.f64 (pow.f64 x 6) 1/40320))
(*.f64 -1/40320 (pow.f64 x 6))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2))
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (*.f64 -1/24 (pow.f64 x 2)) 0)
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) 1/24))
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 2) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2))
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/24) -1)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -1/12) 2)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -1/6) 4)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) -1/6)) -4)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) -1/12)) -2)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -1/6)) 8)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 2) -1/12)) -1) 2)
(*.f64 -1/24 (pow.f64 x 2))
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x 2) -1/6)) -1) 4)
(*.f64 -1/24 (pow.f64 x 2))
(pow.f64 (*.f64 -1/24 (pow.f64 x 2)) 1)
(*.f64 -1/24 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) 1/24))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(*.f64 1/720 (pow.f64 x 4))
(+.f64 0 (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) 2) (/.f64 (.f64 1/720 (pow.f64 x 4)) 2))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (*.f64 1/720 (pow.f64 x 4)) 0)
(*.f64 1/720 (pow.f64 x 4))
(-.f64 0 (*.f64 (pow.f64 x 4) -1/720))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (/.f64 (.f64 1/720 (pow.f64 x 4)) 2) (/.f64 (.f64 1/720 (pow.f64 x 4)) -2))
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) -1/720) -1)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/360) 2)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/180) 4)
(*.f64 1/720 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/180)) 8)
(*.f64 1/720 (pow.f64 x 4))
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(*.f64 1/720 (pow.f64 x 4))
(neg.f64 (*.f64 (pow.f64 x 4) -1/720))
(*.f64 1/720 (pow.f64 x 4))

localize40.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
	0.2b	(*.f64 -1/24 (pow.f64 x 2))

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite368.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`rational_best-4`
1002×	`rational_best-2`
1002×	`rational_best-3`
1002×	`rational_best-1`
1002×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	62	19
2	112	19
3	221	19
4	639	19
5	2658	19

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/24 (pow.f64 x 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (+.f64 -1/2 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2)) (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (+.f64 (-.f64 -1/4 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4) (-.f64 -1/4 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (+.f64 -1/2 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (+.f64 -1/4 (-.f64 -1/4 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (*.f64 -1/24 (pow.f64 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) (-.f64 (+.f64 -1/2 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2)) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (*.f64 -3 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4) (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)) (neg.f64 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) -1/2) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 3) 1/4) 2) (/.f64 (-.f64 -1/4 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 3) 4) (/.f64 (-.f64 -1/2 (*.f64 -1/24 (pow.f64 x 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4)) 2) (/.f64 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2) -3/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)) (-.f64 -1/4 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2)) (-.f64 -1/2 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) (neg.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4))) (-.f64 (-.f64 -1/2 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (-.f64 -1/4 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))))) (neg.f64 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8) -1/4) (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x 2) -1/12)) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2)) (-.f64 -1/4 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (neg.f64 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8))) (-.f64 (neg.f64 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)) (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) -1/4) (/.f64 (-.f64 -1/2 (*.f64 (*.f64 (pow.f64 x 2) -1/8) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) (+.f64 -1/2 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2))) (neg.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/6) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) -1/6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 -1/4 (*.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/6) -2) 4) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/6) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/6) -2) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1)))))

simplify371.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1364×	`rational_best-simplify-67`
978×	`rational_best-simplify-56`
910×	`rational_best-simplify-3`
838×	`rational_best-simplify-66`
776×	`rational_best-simplify-64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	886
1	325	880
2	807	880
3	2842	874

Stop Event

1×	node limit

Counts

46 → 50

Calls

Call 1

Inputs
1/2
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (*.f64 -1/24 (pow.f64 x 2)) -1/2)
(-.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (+.f64 -1/2 (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)) (.f64 1/2 (.f64 -1/24 (pow.f64 x 2)))))
(-.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 0)
(-.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (-.f64 -1/4 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4)))
(-.f64 (+.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) 1/4) (-.f64 -1/4 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2)))))
(-.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 -1/2 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2)))
(-.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 -1/4 (-.f64 -1/4 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))))))
(-.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (*.f64 -1/24 (pow.f64 x 2)))) 2))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) (-.f64 (+.f64 -1/2 (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)))
(-.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (.f64 -3 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/4) -1/4)
(-.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) 1/4) (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)) (neg.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(-.f64 (-.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) -1/2) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/12)) 3) 1/4) 2) (/.f64 (-.f64 -1/4 (.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))) 2))
(-.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) 3) 4) (/.f64 (-.f64 -1/2 (*.f64 -1/24 (pow.f64 x 2))) 4))
(-.f64 (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) 1/4)) 2) (/.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2) -3/4) 2))
(-.f64 (+.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)) (-.f64 -1/4 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)) (-.f64 -1/2 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) (neg.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4))) (-.f64 (-.f64 -1/2 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4)))
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (-.f64 -1/4 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))))) (neg.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8) -1/4) (/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 2) -1/12)) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))) 4))
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)) (-.f64 -1/4 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (neg.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8))) (-.f64 (neg.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)) (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) -1/4) (/.f64 (-.f64 -1/2 (.f64 (*.f64 (pow.f64 x 2) -1/8) 1/2)) 2))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) (+.f64 -1/2 (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2))) (neg.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 x 2) -1/12)))
(.f64 2 (+.f64 (.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4))
(.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) 1)
(.f64 1 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))))
(.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/12)) 1/2)
(.f64 (-.f64 (.f64 (pow.f64 x 2) -1/6) -2) 1/4)
(.f64 (+.f64 (.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4) 2)
(.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) -1/6) -2))
(.f64 (.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4) 1/8)
(.f64 -2 (-.f64 -1/4 (.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))))
(.f64 1/8 (.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))
(.f64 (.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/6) -2) 4) 1/16)
(/.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 2)
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/6) -2) 4)
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/12)) 4) 8)
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 2) -1/6) -2) 4) 16)
(pow.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1)

Outputs
1/2
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (*.f64 -1/24 (pow.f64 x 2)) -1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (+.f64 -1/2 (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)) (.f64 1/2 (.f64 -1/24 (pow.f64 x 2)))))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 0)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (-.f64 -1/4 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) 1/4) (-.f64 -1/4 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2)))))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 -1/2 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 -1/4 (-.f64 -1/4 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))))))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (*.f64 -1/24 (pow.f64 x 2)))) 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) (-.f64 (+.f64 -1/2 (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (.f64 -3 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/4) -1/4)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) 1/4) (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)) (neg.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (-.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) -1/2) (/.f64 (*.f64 -1/24 (pow.f64 x 2)) -2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/12)) 3) 1/4) 2) (/.f64 (-.f64 -1/4 (.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))) 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) 3) 4) (/.f64 (-.f64 -1/2 (*.f64 -1/24 (pow.f64 x 2))) 4))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) 1/4)) 2) (/.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2) -3/4) 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)) (-.f64 -1/4 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)) (-.f64 -1/2 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) (neg.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4))) (-.f64 (-.f64 -1/2 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4)) (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (-.f64 -1/4 (.f64 1/2 (.f64 -1/24 (pow.f64 x 2))))) (neg.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8) -1/4) (/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 2) -1/12)) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))) 4))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2)) (-.f64 -1/4 (+.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8) (neg.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8))) (-.f64 (neg.f64 (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)) (+.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) 1/8)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) -1/4) (/.f64 (-.f64 -1/2 (.f64 (*.f64 (pow.f64 x 2) -1/8) 1/2)) 2))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) -1/4) (-.f64 -1/4 (/.f64 (.f64 1/2 (*.f64 (pow.f64 x 2) -1/8)) 2)))
(+.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) (-.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) -1/16) 2))) 1/4)
(+.f64 1/4 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) (-.f64 -1/4 (/.f64 (.f64 (pow.f64 x 2) -1/16) 2))))
(+.f64 1/4 (/.f64 (-.f64 (.f64 (pow.f64 x 2) -1/48) (-.f64 -1/2 (.f64 (pow.f64 x 2) -1/16))) 2))
(-.f64 (-.f64 (/.f64 (.f64 -1/24 (pow.f64 x 2)) 4) (+.f64 -1/2 (/.f64 (.f64 -1/24 (pow.f64 x 2)) -2))) (neg.f64 (/.f64 (*.f64 -1/24 (pow.f64 x 2)) 4)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 x 2) -1/12)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))) 1)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 1 (+.f64 1/2 (.f64 -1/24 (pow.f64 x 2))))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/12)) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 (-.f64 (.f64 (pow.f64 x 2) -1/6) -2) 1/4)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 (+.f64 (.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1/4) 2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) -1/6) -2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4) 1/8)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 -2 (-.f64 -1/4 (.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 1/8 (.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 4))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(.f64 (.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/6) -2) 4) 1/16)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/12)) 2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/6) -2) 4)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/12)) 4) 8)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 2) -1/6) -2) 4) 16)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(pow.f64 (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))) 1)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))

localize63.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 2 (*.f64 x x))
✓	3.2b	(-.f64 1/2 (/.f64 (cos.f64 x) 2))
✓	16.1b	(.f64 (/.f64 2 (.f64 x x)) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite421.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`rational_best-2`
1362×	`rational_best-3`
1362×	`rational_best-1`
1360×	`rational_best-4`
1358×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	84	65
2	199	65
3	696	65
4	3413	65

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs

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

simplify437.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1208×	`rational_best-simplify-55`
1092×	`rational_best-simplify-54`
1074×	`rational_best-simplify-50`
958×	`rational_best-simplify-65`
756×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	3760
1	793	3722
2	2489	3160

Stop Event

1×	node limit

Counts

150 → 156

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(+.f64 (.f64 (/.f64 2 (.f64 x x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 0)
(+.f64 0 (.f64 (/.f64 2 (.f64 x x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (.f64 x x)) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (.f64 x x)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) -2) (.f64 x x)) (/.f64 (+.f64 1 (/.f64 (cos.f64 x) -2)) (.f64 x x)))
(+.f64 (/.f64 (+.f64 1 (/.f64 (cos.f64 x) -2)) (.f64 x x)) (/.f64 (/.f64 (cos.f64 x) -2) (.f64 x x)))
(-.f64 (.f64 (/.f64 2 (.f64 x x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 0)
(-.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (.f64 x x)) (/.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (.f64 x x)))
(-.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (.f64 x x)) (/.f64 (/.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (.f64 x x)) -1/2) 2))
(/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 (.f64 x x) 2))
(/.f64 (.f64 (/.f64 2 (.f64 x x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(/.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (.f64 x x)) 1/2)
(/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) x) (/.f64 x 2))
(/.f64 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1/4 (/.f64 (cos.f64 x) 4)) (/.f64 8 (.f64 x x))) 2)
(/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 x 2)) x)
(/.f64 (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2))) (.f64 2 (*.f64 x x)))
(/.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8 (*.f64 x x))) 4)
(/.f64 (/.f64 (.f64 2 (.f64 -2 (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2))) x) (+.f64 x x))
(/.f64 (/.f64 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (.f64 2 (.f64 -2 (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2))) (fabs.f64 x)) (fabs.f64 (+.f64 x x)))
(/.f64 (/.f64 (.f64 2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) x) (neg.f64 x))
(/.f64 (/.f64 (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2))) (neg.f64 x)) (.f64 -2 x))
(/.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8) (.f64 (.f64 x x) 4))
(/.f64 (.f64 4 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) (.f64 (.f64 x x) -2))
(/.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (/.f64 4 (*.f64 x x))) -2)
(/.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (/.f64 4 x)) (*.f64 -2 x))
(/.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) 8) (neg.f64 (.f64 (.f64 x x) 4)))
(/.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (/.f64 8 (*.f64 x x))) -4)
(/.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (/.f64 8 x)) (neg.f64 (*.f64 2 (+.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) 16) (neg.f64 (.f64 2 (.f64 (*.f64 x x) 4))))
(/.f64 (.f64 (/.f64 2 (.f64 x x)) (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2)) -1)
(/.f64 (.f64 (/.f64 2 x) (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) (neg.f64 x))
(/.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (/.f64 2 (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (/.f64 2 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2))) (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)))) (.f64 (.f64 x x) 4))
(/.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8 (.f64 x x))) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 8 (.f64 x x)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)))) (.f64 (.f64 x x) 4))
(/.f64 (.f64 4 (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)))) (.f64 4 (.f64 2 (*.f64 x x))))
(/.f64 (.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 x 2))) (+.f64 x x))
(/.f64 (.f64 2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (/.f64 8 (.f64 x x)) (.f64 2 (.f64 -2 (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2)))) 16)
(/.f64 (.f64 4 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2))) (.f64 (*.f64 x x) 4))
(pow.f64 (.f64 (/.f64 2 (.f64 x x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(neg.f64 (.f64 (/.f64 2 (.f64 x x)) (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2)))
(+.f64 1/2 (/.f64 (cos.f64 x) -2))
(+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 0)
(+.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 (/.f64 (cos.f64 x) -2) 1/2)
(+.f64 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2))
(+.f64 (-.f64 1/4 (/.f64 (cos.f64 x) 4)) (-.f64 1/4 (/.f64 (cos.f64 x) 4)))
(+.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 4)) (/.f64 (cos.f64 x) -4))
(+.f64 (/.f64 (cos.f64 x) -4) (-.f64 1/2 (/.f64 (cos.f64 x) 4)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) -2) 2) (/.f64 (+.f64 1 (/.f64 (cos.f64 x) -2)) 2))
(+.f64 (/.f64 (+.f64 1 (/.f64 (cos.f64 x) -2)) 2) (/.f64 (/.f64 (cos.f64 x) -2) 2))
(+.f64 (-.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 1/2) (neg.f64 (+.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (/.f64 (cos.f64 x) -2))))
(+.f64 (-.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 (cos.f64 x) -2)) (neg.f64 (+.f64 1/2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2))))
(+.f64 (-.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (-.f64 1/4 (/.f64 (cos.f64 x) 4))) (neg.f64 (+.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (-.f64 1/4 (/.f64 (cos.f64 x) 4)))))
(+.f64 (-.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 (cos.f64 x) -4)) (neg.f64 (+.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (-.f64 1/2 (/.f64 (cos.f64 x) 4)))))
(+.f64 (-.f64 1/2 (/.f64 (/.f64 (cos.f64 x) 4) 2)) (neg.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) 3) 4) 2)))
(+.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 8)) (neg.f64 (/.f64 (*.f64 (cos.f64 x) 3) 8)))
(.f64 1/2 (.f64 -2 (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 1)
(.f64 1 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))
(.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) -1)
(.f64 (.f64 -2 (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2)) 1/2)
(.f64 -1 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2))
(.f64 1/4 (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2))))
(.f64 (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2))) 1/4)
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(/.f64 (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2) -1)
(/.f64 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) 2)
(/.f64 (.f64 2 (.f64 -2 (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2))) (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)))) 8)
(pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(neg.f64 (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2))
(+.f64 (/.f64 2 (*.f64 x x)) 0)
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 0 x))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 0 x) (/.f64 0 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (neg.f64 (/.f64 0 x)))
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(+.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))
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(+.f64 (+.f64 (/.f64 0 x) (/.f64 0 x)) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 2 (*.f64 x x)) 0)
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 0 x))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 0 x) (/.f64 0 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (neg.f64 (/.f64 0 x)))
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (neg.f64 (/.f64 2 (.f64 x x))) 2))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (neg.f64 (/.f64 2 x)) (+.f64 x x)))
(.f64 2 (/.f64 1 (.f64 x x)))
(.f64 (/.f64 2 (.f64 x x)) 1)
(.f64 1/2 (/.f64 4 (.f64 x x)))
(.f64 1 (/.f64 2 (.f64 x x)))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(.f64 4 (/.f64 1/2 (.f64 x x)))
(.f64 (/.f64 4 (.f64 x x)) 1/2)
(*.f64 (/.f64 4 x) (/.f64 1/2 x))
(.f64 8 (/.f64 1/4 (.f64 x x)))
(*.f64 (/.f64 2 (neg.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 2 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(.f64 (/.f64 1 (.f64 x x)) 2)
(*.f64 (/.f64 1 x) (/.f64 2 x))
(*.f64 (/.f64 1/2 x) (/.f64 4 x))
(.f64 1/4 (/.f64 8 (.f64 x x)))
(.f64 (/.f64 8 (.f64 x x)) 1/4)
(.f64 (/.f64 8 x) (/.f64 1 (.f64 2 (+.f64 x x))))
(.f64 16 (/.f64 1 (.f64 2 (.f64 (.f64 x x) 4))))
(.f64 (/.f64 1/4 (.f64 x x)) 8)
(.f64 (/.f64 1/2 (.f64 x x)) 4)
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 2 (neg.f64 x)))
(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 2 (fabs.f64 x)))
(.f64 (/.f64 1 (.f64 2 (+.f64 x x))) (/.f64 8 x))
(.f64 (/.f64 1 (.f64 2 (.f64 (.f64 x x) 4))) 16)
(pow.f64 (/.f64 2 (*.f64 x x)) 1)

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6))) 1/2))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) 1/2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 2 (pow.f64 x 2)))
(*.f64 (-.f64 (/.f64 (cos.f64 x) -2) -1/2) (/.f64 2 (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 2 (pow.f64 x 2)))
(*.f64 (-.f64 (/.f64 (cos.f64 x) -2) -1/2) (/.f64 2 (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 2 (pow.f64 x 2)))
(*.f64 (-.f64 (/.f64 (cos.f64 x) -2) -1/2) (/.f64 2 (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 2 (pow.f64 x 2)))
(*.f64 (-.f64 (/.f64 (cos.f64 x) -2) -1/2) (/.f64 2 (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 2 (pow.f64 x 2)))
(*.f64 (-.f64 (/.f64 (cos.f64 x) -2) -1/2) (/.f64 2 (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 2 (pow.f64 x 2)))
(*.f64 (-.f64 (/.f64 (cos.f64 x) -2) -1/2) (/.f64 2 (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 2 (pow.f64 x 2)))
(*.f64 (-.f64 (/.f64 (cos.f64 x) -2) -1/2) (/.f64 2 (pow.f64 x 2)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 2 (pow.f64 x 2)))
(*.f64 (-.f64 (/.f64 (cos.f64 x) -2) -1/2) (/.f64 2 (pow.f64 x 2)))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/4)
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 4) -1/48))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (.f64 (pow.f64 x 4) -1/48) (*.f64 (pow.f64 x 6) 1/1440)))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/48) (.f64 (pow.f64 x 6) 1/1440)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 -1/80640 (pow.f64 x 8))))
(+.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/48) (.f64 (pow.f64 x 6) 1/1440)) (.f64 -1/80640 (pow.f64 x 8))))
(+.f64 (.f64 (pow.f64 x 4) -1/48) (+.f64 (.f64 (pow.f64 x 6) 1/1440) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 -1/80640 (pow.f64 x 8)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(/.f64 2 (pow.f64 x 2))
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(/.f64 (+.f64 (/.f64 (cos.f64 x) -2) (+.f64 (/.f64 (cos.f64 x) -2) 1)) (*.f64 x x))
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(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (.f64 x x)) (/.f64 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2) (.f64 x x)))
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(-.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (.f64 x x)) (/.f64 (/.f64 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (.f64 x x)) -1/2) 2))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 2 (*.f64 x x)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 (.f64 x x) 2))
(.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 2 (*.f64 x x)))
(.f64 2 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(/.f64 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) 2)
(/.f64 (.f64 2 (.f64 -2 (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2))) 4)
(/.f64 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) 2)
(/.f64 (+.f64 (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2))) (.f64 2 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)))) 8)
(/.f64 (.f64 -2 (-.f64 (.f64 1/2 (cos.f64 x)) 1/2)) 2)
(pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(neg.f64 (-.f64 (*.f64 1/2 (cos.f64 x)) 1/2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) -2) -1/2)
(+.f64 (/.f64 2 (*.f64 x x)) 0)
(/.f64 2 (*.f64 x x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 0 x))
(/.f64 2 (*.f64 x x))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 0 x) (/.f64 0 x)))
(/.f64 2 (*.f64 x x))
(+.f64 (/.f64 2 (*.f64 x x)) (neg.f64 (/.f64 0 x)))
(/.f64 2 (*.f64 x x))
(+.f64 0 (/.f64 2 (*.f64 x x)))
(/.f64 2 (*.f64 x x))
(+.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))
(/.f64 2 (*.f64 x x))
(+.f64 (/.f64 0 x) (/.f64 2 (*.f64 x x)))
(/.f64 2 (*.f64 x x))
(+.f64 (+.f64 (/.f64 0 x) (/.f64 0 x)) (/.f64 2 (*.f64 x x)))
(/.f64 2 (*.f64 x x))
(-.f64 (/.f64 2 (*.f64 x x)) 0)
(/.f64 2 (*.f64 x x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 0 x))
(/.f64 2 (*.f64 x x))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 0 x) (/.f64 0 x)))
(/.f64 2 (*.f64 x x))
(-.f64 (/.f64 2 (*.f64 x x)) (neg.f64 (/.f64 0 x)))
(/.f64 2 (*.f64 x x))
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (neg.f64 (/.f64 2 (.f64 x x))) 2))
(/.f64 2 (*.f64 x x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (neg.f64 (/.f64 2 x)) (+.f64 x x)))
(/.f64 2 (*.f64 x x))
(.f64 2 (/.f64 1 (.f64 x x)))
(/.f64 2 (*.f64 x x))
(.f64 (/.f64 2 (.f64 x x)) 1)
(/.f64 2 (*.f64 x x))
(.f64 1/2 (/.f64 4 (.f64 x x)))
(/.f64 2 (*.f64 x x))
(.f64 1 (/.f64 2 (.f64 x x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(/.f64 2 (*.f64 x x))
(.f64 4 (/.f64 1/2 (.f64 x x)))
(/.f64 2 (*.f64 x x))
(.f64 (/.f64 4 (.f64 x x)) 1/2)
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 4 x) (/.f64 1/2 x))
(/.f64 2 (*.f64 x x))
(.f64 8 (/.f64 1/4 (.f64 x x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 (neg.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(/.f64 2 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) 2)
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 2 x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 4 x))
(/.f64 2 (*.f64 x x))
(.f64 1/4 (/.f64 8 (.f64 x x)))
(/.f64 2 (*.f64 x x))
(.f64 (/.f64 8 (.f64 x x)) 1/4)
(/.f64 2 (*.f64 x x))
(.f64 (/.f64 8 x) (/.f64 1 (.f64 2 (+.f64 x x))))
(/.f64 2 (*.f64 x x))
(.f64 16 (/.f64 1 (.f64 2 (.f64 (.f64 x x) 4))))
(/.f64 2 (*.f64 x x))
(.f64 (/.f64 1/4 (.f64 x x)) 8)
(/.f64 2 (*.f64 x x))
(.f64 (/.f64 1/2 (.f64 x x)) 4)
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 2 (neg.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 2 (fabs.f64 x)))
(/.f64 2 (*.f64 x x))
(.f64 (/.f64 1 (.f64 2 (+.f64 x x))) (/.f64 8 x))
(/.f64 2 (*.f64 x x))
(.f64 (/.f64 1 (.f64 2 (.f64 (.f64 x x) 4))) 16)
(/.f64 2 (*.f64 x x))
(pow.f64 (/.f64 2 (*.f64 x x)) 1)
(/.f64 2 (*.f64 x x))

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (/.f64 x x)))
✓	0.1b	(/.f64 (-.f64 1 (cos.f64 x)) x)
	3.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 35 to 14 computations (60% saved)

series26.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(/.f64 (-.f64 1 (cos.f64 x)) x)
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (cos.f64 x)) x)
0.0ms	x	@	0	(/.f64 (-.f64 1 (cos.f64 x)) x)
0.0ms	x	@	0	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (/.f64 x x)))
0.0ms	x	@	inf	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (/.f64 x x)))

rewrite288.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`rational_best-simplify-52`
902×	`rational_best-simplify-89`
658×	`rational_best-simplify-55`
616×	`rational_best-4`
616×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	83	52
2	267	52
3	1374	40

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 (/.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (+.f64 (/.f64 1 x) (/.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 1 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 0 x)) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 0) (sin.f64 x)) x) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 x) (+.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 x) (/.f64 0 x)) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 0 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (neg.f64 (/.f64 0 x))) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 (/.f64 0 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 x) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 (+.f64 x x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2)) (/.f64 (cos.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x))) (/.f64 (cos.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (/.f64 -1 x)) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 x) (/.f64 -1 x)) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 x) (neg.f64 (/.f64 0 x))) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule 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simplify621.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1512×	`rational_best-simplify-61`
1302×	`rational_best-simplify-1`
1104×	`rational_best-simplify-57`
806×	`rational_best-simplify-60`
718×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	5267
1	1192	5223
2	4291	5111

Stop Event

1×	node limit

Counts

213 → 235

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (.f64 1/720 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 (/.f64 0 x)))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x))
(+.f64 (/.f64 0 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (+.f64 (/.f64 1 x) (/.f64 0 x)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 1 (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (+.f64 x x))) (neg.f64 (/.f64 (cos.f64 x) (+.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 (/.f64 0 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (neg.f64 (/.f64 0 x)) 0))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (neg.f64 (/.f64 0 x)) (neg.f64 (/.f64 0 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (/.f64 0 x) (neg.f64 (/.f64 0 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 0 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 (*.f64 x 4)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 (.f64 (.f64 x 4) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 (/.f64 1 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 (/.f64 2 x)))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))
(-.f64 0 (+.f64 (/.f64 -1 x) (/.f64 (cos.f64 x) x)))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(-.f64 (/.f64 1 x) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 (cos.f64 x) x)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))
(-.f64 (/.f64 0 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(-.f64 (/.f64 0 x) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x))))
(-.f64 (/.f64 0 x) (+.f64 (/.f64 -1 x) (/.f64 (cos.f64 x) x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 0 x) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) 0))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) (/.f64 0 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 0 x)))
(-.f64 (/.f64 1 (+.f64 x x)) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) (/.f64 (cos.f64 x) (+.f64 x x))))
(-.f64 (/.f64 1 (+.f64 x x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 (cos.f64 x) (+.f64 x x))))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 -1 x))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (+.f64 (/.f64 0 x) (/.f64 -1 x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 -1 x)))
(-.f64 (neg.f64 (/.f64 0 x)) (/.f64 (+.f64 (cos.f64 x) -1) x))
(-.f64 (/.f64 (*.f64 (sin.f64 0) (sin.f64 x)) x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(-.f64 (/.f64 2 x) (+.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)))
(-.f64 (-.f64 (/.f64 0 x) (/.f64 0 x)) (/.f64 (+.f64 (cos.f64 x) -1) x))
(-.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 0 x)) (/.f64 -1 x))
(-.f64 (-.f64 0 (neg.f64 (/.f64 0 x))) (/.f64 (+.f64 (cos.f64 x) -1) x))
(-.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 (/.f64 0 x))) (/.f64 -1 x))
(-.f64 (-.f64 (/.f64 0 x) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(-.f64 (-.f64 (/.f64 1 (+.f64 x x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2)) (/.f64 (cos.f64 x) (+.f64 x x)))
(-.f64 (-.f64 (/.f64 1 (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x))) (/.f64 (cos.f64 x) (+.f64 x x)))
(-.f64 (-.f64 0 (/.f64 -1 x)) (/.f64 (cos.f64 x) x))
(-.f64 (-.f64 (/.f64 0 x) (/.f64 -1 x)) (/.f64 (cos.f64 x) x))
(-.f64 (-.f64 (/.f64 1 x) (neg.f64 (/.f64 0 x))) (/.f64 (cos.f64 x) x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) x)
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) 1/2)
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (+.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (-.f64 0 (/.f64 1 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 x 4)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 1 (/.f64 1 (+.f64 x x))))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(.f64 2 (.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) (*.f64 x 1/2))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) 1/4)
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4))
(.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) 2) (/.f64 1 (.f64 (*.f64 x 4) 2)))
(.f64 (-.f64 2 (.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 x x)))
(.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x 4)))
(.f64 (.f64 -2 (-.f64 1 (cos.f64 x))) (-.f64 0 (/.f64 1 (+.f64 x x))))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 2 x) (.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (+.f64 (/.f64 1 (+.f64 x x)) (/.f64 1 (+.f64 x x))) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 0 (.f64 x x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 0 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (neg.f64 (/.f64 0 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (neg.f64 (/.f64 0 (.f64 x x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 0 (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 0 (*.f64 x x))))
(+.f64 (/.f64 0 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1 x) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 0 (.f64 x x))))
(+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)) 0) (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)) 0) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x)))))
(+.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 0 (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (+.f64 x x))))
(+.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 0 (.f64 x x))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 0 (.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 0 (.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 0 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (neg.f64 (/.f64 0 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (neg.f64 (/.f64 0 (.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 0 x) (+.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 (neg.f64 (/.f64 0 x)) 0))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 (neg.f64 (/.f64 0 x)) (neg.f64 (/.f64 0 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (/.f64 0 (.f64 x x)) (neg.f64 (/.f64 0 (*.f64 x x)))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (/.f64 0 x) (neg.f64 (/.f64 0 (.f64 x x)))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 (/.f64 0 x) (neg.f64 (/.f64 0 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (/.f64 0 (.f64 x x)) (neg.f64 (/.f64 0 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 0 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 0 (.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (neg.f64 (/.f64 0 x)) (neg.f64 (/.f64 0 (.f64 x x)))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (neg.f64 (/.f64 0 (.f64 x x))) 0))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (neg.f64 (/.f64 0 (.f64 x x))) (/.f64 0 (*.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (neg.f64 (/.f64 0 (.f64 x x))) (/.f64 0 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (neg.f64 (/.f64 0 (.f64 x x))) (neg.f64 (/.f64 0 x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (neg.f64 (/.f64 0 (.f64 x x))) (neg.f64 (/.f64 0 (*.f64 x x)))))
(-.f64 0 (-.f64 (/.f64 0 (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(-.f64 0 (-.f64 (/.f64 0 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(-.f64 0 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 0 (.f64 x x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(-.f64 (/.f64 0 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)))
(-.f64 (/.f64 0 (.f64 x x)) (-.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 0 (.f64 x x)) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(-.f64 (/.f64 0 (.f64 x x)) (+.f64 (/.f64 0 x) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))))
(-.f64 (/.f64 0 (.f64 x x)) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))))
(-.f64 (/.f64 0 (.f64 x x)) (+.f64 (neg.f64 (/.f64 0 (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(-.f64 (/.f64 0 (.f64 x x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) 0))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (+.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (neg.f64 (/.f64 0 (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x)))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (+.f64 x x))) (/.f64 0 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (+.f64 x x))) (/.f64 (/.f64 0 x) (+.f64 x x))))
(-.f64 (/.f64 0 x) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(-.f64 (/.f64 0 x) (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 (cos.f64 x) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (neg.f64 (/.f64 0 (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x x))))
(-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(-.f64 (/.f64 (.f64 (sin.f64 0) (sin.f64 x)) (.f64 x x)) (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 (/.f64 1 x) (+.f64 x x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x))) (/.f64 (/.f64 (cos.f64 x) x) (+.f64 x x))))
(-.f64 (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)) 0) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x)))) (-.f64 0 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 4)) 0)))
(-.f64 (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)) 0) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x)))) (-.f64 (/.f64 0 x) (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 4)) 0)))
(-.f64 (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)) 0) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x)))) (-.f64 (/.f64 (/.f64 0 x) (+.f64 x x)) (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 x 4)) 0)))
(-.f64 (-.f64 (/.f64 0 (.f64 x x)) (/.f64 0 (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 0 (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x))))
(-.f64 (-.f64 (/.f64 0 (.f64 x x)) (/.f64 0 x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)))
(-.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (neg.f64 (/.f64 0 (.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x))))
(-.f64 (-.f64 (/.f64 (/.f64 1 x) x) (neg.f64 (/.f64 0 (.f64 x x)))) (/.f64 (cos.f64 x) (.f64 x x)))
(-.f64 (-.f64 (/.f64 (/.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (+.f64 x x)))) (/.f64 (/.f64 (cos.f64 x) x) (+.f64 x x)))
(-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 x) x)) (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)) 0) (/.f64 (/.f64 1 x) (+.f64 x x))) (-.f64 (/.f64 (/.f64 (cos.f64 x) x) (+.f64 x x)) (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)) 0)))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (/.f64 x (/.f64 1 x)))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x (+.f64 x x))))
(*.f64 (+.f64 (cos.f64 x) -1) (-.f64 0 (/.f64 (/.f64 1 x) x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (-.f64 0 (/.f64 1 x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (.f64 x (.f64 x 4))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 1 (.f64 x 1/2)))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))))
(.f64 2 (.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 1/2)
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (/.f64 1 (*.f64 x 4)))
(.f64 (/.f64 (/.f64 1 x) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (+.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (+.f64 x x))))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x x)) x)
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x (+.f64 x x))) (/.f64 1 (/.f64 1 (+.f64 x x))))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)))
(.f64 (/.f64 1 (.f64 x (+.f64 x x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1 (.f64 x (+.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (+.f64 x x))))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 1/4)
(.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4)) (/.f64 1 (.f64 (*.f64 x 4) 2)))
(.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) x) x)
(.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) x) (*.f64 x 1/2))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (*.f64 x x)) (/.f64 1 (/.f64 (/.f64 1 x) x)))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (.f64 x x)) (.f64 x 1/2))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) (.f64 x x)) (/.f64 1 (/.f64 2 (.f64 x x))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (.f64 x x)) (/.f64 1 (/.f64 (.f64 x 4) (*.f64 x x))))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(*.f64 (+.f64 (/.f64 1 (+.f64 x x)) (/.f64 1 (+.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) x))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 x)) (/.f64 1/2 (neg.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (/.f64 1 (neg.f64 x)))
(.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 x) x)) (.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/720 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/24 (pow.f64 x 3)) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (.f64 1/720 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 5)) (.f64 -1/40320 (pow.f64 x 7))) (+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x)))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (+.f64 (.f64 1/720 (pow.f64 x 5)) (.f64 1/2 x))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/720 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 6))) (+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 (/.f64 0 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 0 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (+.f64 (/.f64 1 x) (/.f64 0 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 1 (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (+.f64 x x))) (neg.f64 (/.f64 (cos.f64 x) (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 0)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 (/.f64 0 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (neg.f64 (/.f64 0 x)) 0))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (neg.f64 (/.f64 0 x)) (neg.f64 (/.f64 0 x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (/.f64 0 x) (neg.f64 (/.f64 0 x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 0 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 (.f64 (.f64 x 4) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 0 (/.f64 2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 0 (+.f64 (/.f64 -1 x) (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 1 x) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 0 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 0 x) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x))))
(-.f64 0 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2))))
(-.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2))) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(-.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x))) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(-.f64 (/.f64 0 x) (+.f64 (/.f64 -1 x) (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) -2) (/.f64 (-.f64 1/2 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) x))
(-.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 (cos.f64 x) 2))) x) (/.f64 (cos.f64 x) (+.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 0 x) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) -2) (/.f64 (-.f64 1/2 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) x))
(-.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 (cos.f64 x) 2))) x) (/.f64 (cos.f64 x) (+.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) -2) (/.f64 (-.f64 1/2 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) x))
(-.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 (cos.f64 x) 2))) x) (/.f64 (cos.f64 x) (+.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) 0))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) -2) (/.f64 (-.f64 1/2 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) x))
(-.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 (cos.f64 x) 2))) x) (/.f64 (cos.f64 x) (+.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) (/.f64 0 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) -2) (/.f64 (-.f64 1/2 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) x))
(-.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 (cos.f64 x) 2))) x) (/.f64 (cos.f64 x) (+.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 0 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 1 (+.f64 x x)) (+.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2) (/.f64 (cos.f64 x) (+.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) -2) (/.f64 (-.f64 1/2 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) x))
(-.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 (cos.f64 x) 2))) x) (/.f64 (cos.f64 x) (+.f64 x x)))
(-.f64 (/.f64 1 (+.f64 x x)) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 (cos.f64 x) (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (+.f64 (/.f64 0 x) (/.f64 -1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 -1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (neg.f64 (/.f64 0 x)) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 (*.f64 (sin.f64 0) (sin.f64 x)) x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 (*.f64 (sin.f64 0) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) x)
(/.f64 (+.f64 (-.f64 (*.f64 (sin.f64 0) (sin.f64 x)) (cos.f64 x)) 1) x)
(-.f64 (/.f64 2 x) (+.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (-.f64 (/.f64 0 x) (/.f64 0 x)) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 0 x)) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (-.f64 0 (neg.f64 (/.f64 0 x))) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 (/.f64 0 x))) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (-.f64 (/.f64 0 x) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(-.f64 0 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2))))
(-.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2))) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(-.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x))) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x)))
(-.f64 (-.f64 (/.f64 1 (+.f64 x x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2)) (/.f64 (cos.f64 x) (+.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x 2)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) -2) (/.f64 (-.f64 1/2 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) x))
(-.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 (cos.f64 x) 2))) x) (/.f64 (cos.f64 x) (+.f64 x x)))
(-.f64 (-.f64 (/.f64 1 (+.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 x x))) (/.f64 (cos.f64 x) (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (-.f64 0 (/.f64 -1 x)) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (-.f64 (/.f64 0 x) (/.f64 -1 x)) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (-.f64 (/.f64 1 x) (neg.f64 (/.f64 0 x))) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) x)
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(-.f64 (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)) 0) (/.f64 (/.f64 1 x) (+.f64 x x))) (-.f64 (/.f64 (/.f64 (cos.f64 x) x) (+.f64 x x)) (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)) 0)))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x 4)))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x 4)))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (.f64 x x)))) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (*.f64 x x)))))
(neg.f64 (+.f64 (-.f64 0 (/.f64 (neg.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1/2 x))) x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (+.f64 x x)))))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (/.f64 x (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 1/2 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 x (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 (cos.f64 x) -1) (-.f64 0 (/.f64 (/.f64 1 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (-.f64 0 (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (.f64 x (.f64 x 4))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 1 (.f64 x 1/2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1/2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 2 (.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (/.f64 1 (*.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (/.f64 1 x) (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (+.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x (+.f64 x x))) (/.f64 1 (/.f64 1 (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (.f64 x (+.f64 x x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 1 (.f64 x (+.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (+.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 x x)) 1/4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4)) (/.f64 1 (.f64 (*.f64 x 4) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) x) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) x) (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (*.f64 x x)) (/.f64 1 (/.f64 (/.f64 1 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (.f64 x x)) (.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) (.f64 x x)) (/.f64 1 (/.f64 2 (.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 4) (.f64 x x)) (/.f64 1 (/.f64 (.f64 x 4) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 (/.f64 1 (+.f64 x x)) (/.f64 1 (+.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 x)) (/.f64 1/2 (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 x) x)) (.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize92.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 1 x))
	3.2b	(-.f64 1 (cos.f64 x))
✓	4.6b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 (/.f64 1 x)))
✓	21.7b	(/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))

Compiler

Compiled 51 to 24 computations (52.9% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite1.1s (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`rational_best-simplify-55`
906×	`rational_best-simplify-52`
692×	`rational_best-4`
692×	`rational_best-2`
692×	`rational_best-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	89
1	98	83
2	290	65
3	1586	65

Stop Event

1×	node limit

Counts

3 → 657

Calls

Call 1

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

Outputs

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

simplify1.5s (2.6%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational_best-simplify-55`
1128×	`rational_best-simplify-54`
916×	`rational_best-simplify-47`
886×	`rational_best-simplify-3`
780×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1229	22311
1	3465	20853

Stop Event

1×	node limit

Counts

693 → 806

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/40320 (pow.f64 x 5)) (.f64 1/2 (/.f64 1 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 3))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 0 (.f64 x (.f64 x x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 0 (*.f64 x x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (*.f64 x x)) 0))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 0 (.f64 x x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 0 (.f64 x (*.f64 x x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 0 (*.f64 x x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))))
(+.f64 (/.f64 (/.f64 1 x) (.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (*.f64 x x))))
(+.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))))
(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 1/2) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 1/2))
(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 1/2) (+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 1/2) (/.f64 0 (*.f64 x x))))
(+.f64 (/.f64 0 (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 x x)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 (/.f64 1 x) (.f64 x x)) (/.f64 0 (.f64 x (*.f64 x x)))))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x (+.f64 x x)))) (+.f64 (/.f64 1 (.f64 x (.f64 x (+.f64 x x)))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) 1/2)))
(+.f64 (-.f64 (/.f64 (/.f64 1 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x (.f64 x (+.f64 x x))))) (neg.f64 (/.f64 (cos.f64 x) (.f64 x (*.f64 x (+.f64 x x))))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 0)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 0 (.f64 x (.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 0 (*.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (*.f64 x x)) 0))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 0 (.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 0 (.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 0 (*.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x (.f64 x x))) (neg.f64 (/.f64 0 (.f64 x (.f64 x x))))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))) 0))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))) (/.f64 0 (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))) (neg.f64 (/.f64 0 (.f64 x (.f64 x x))))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x x)) (neg.f64 (/.f64 0 (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))) (/.f64 0 (*.f64 x x))))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (neg.f64 (/.f64 0 (*.f64 x x))))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x))))
(-.f64 0 (-.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))))
(-.f64 0 (+.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x)))))
(-.f64 0 (+.f64 (/.f64 0 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x x)))))
(-.f64 0 (+.f64 (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x)))))
(-.f64 0 (+.f64 (/.f64 -1 (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (/.f64 1 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x (*.f64 x x))))
(-.f64 (/.f64 (/.f64 1 x) (.f64 x x)) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (/.f64 1 x) (.f64 x x)) (+.f64 (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))) (/.f64 (cos.f64 x) (.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 1 x) (.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (/.f64 0 (.f64 x x))))
(-.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x))))
(-.f64 (/.f64 0 (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x)))))
(-.f64 (/.f64 0 (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x x)))))
(-.f64 (/.f64 0 (.f64 x (.f64 x x))) (+.f64 (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x)))))
(-.f64 (/.f64 0 (.f64 x (.f64 x x))) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x (+.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x (+.f64 x x))))))
(-.f64 (/.f64 0 (.f64 x (.f64 x x))) (+.f64 (/.f64 -1 (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))))
(-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 1/2) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x (+.f64 x x)))))
(-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 1/2) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x (+.f64 x x))))))
(-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 1/2) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x (+.f64 x x)))) (/.f64 0 (.f64 x (*.f64 x x)))))
(-.f64 (/.f64 1 (.f64 x (.f64 x (+.f64 x x)))) (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x (+.f64 x x)))) (/.f64 (cos.f64 x) (.f64 x (.f64 x (+.f64 x x))))))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 -1 (.f64 x (.f64 x x))))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 -1 (.f64 x (.f64 x x)))))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 -1 (.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x x))) (+.f64 (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))) (/.f64 -1 (.f64 x (.f64 x x)))))
(-.f64 (neg.f64 (/.f64 0 (.f64 x (.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x))))
(-.f64 (/.f64 (.f64 (sin.f64 0) (sin.f64 x)) (.f64 x (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x x))))
(-.f64 (-.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 0 (.f64 x (.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x))))
(-.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 0 (.f64 x (.f64 x x)))) (/.f64 -1 (.f64 x (.f64 x x))))
(-.f64 (-.f64 0 (/.f64 0 (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x x))))
(-.f64 (-.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 0 (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x x))))
(-.f64 (-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) 1/2) (/.f64 0 (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x (+.f64 x x)))))
(-.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 0 (.f64 x x))) (/.f64 -1 (.f64 x (*.f64 x x))))
(-.f64 (-.f64 0 (neg.f64 (/.f64 0 (.f64 x (.f64 x x))))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x x))))
(-.f64 (-.f64 (/.f64 (/.f64 1 x) (.f64 x x)) (neg.f64 (/.f64 0 (.f64 x (.f64 x x))))) (/.f64 (cos.f64 x) (.f64 x (*.f64 x x))))
(-.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x x))) (neg.f64 (/.f64 0 (.f64 x (.f64 x x))))) (/.f64 -1 (.f64 x (.f64 x x))))
(-.f64 (-.f64 (/.f64 1 (.f64 x (.f64 x (+.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x (+.f64 x x))))) (/.f64 (cos.f64 x) (.f64 x (.f64 x (+.f64 x x)))))
(-.f64 (-.f64 0 (/.f64 -1 (.f64 x (.f64 x x)))) (/.f64 (cos.f64 x) (.f64 x (.f64 x x))))
(-.f64 (-.f64 (/.f64 0 (.f64 x (.f64 x x))) (/.f64 -1 (.f64 x (.f64 x x)))) (/.f64 (cos.f64 x) (.f64 x (.f64 x x))))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) 1)
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 (/.f64 x x)))
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(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) (/.f64 (.f64 x (/.f64 0 (.f64 x x))) x)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (/.f64 16 (/.f64 8 x)))))
(-.f64 (-.f64 (/.f64 1 (.f64 x x)) (/.f64 0 (+.f64 x (/.f64 0 x)))) (/.f64 (cos.f64 x) (.f64 x x)))
(-.f64 (-.f64 (/.f64 0 (.f64 x x)) (/.f64 0 (+.f64 x (/.f64 0 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)))
(-.f64 (-.f64 (/.f64 0 (.f64 1 (/.f64 x (/.f64 1 x)))) (/.f64 0 (+.f64 x (/.f64 0 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 1 (/.f64 x (/.f64 1 x)))))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) (/.f64 0 (+.f64 x (/.f64 0 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (/.f64 16 (/.f64 8 x)))))
(-.f64 (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 0 x) (+.f64 x (/.f64 0 x)))) (/.f64 (cos.f64 x) (.f64 x x)))
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(-.f64 (-.f64 (/.f64 0 (.f64 1 (/.f64 x (/.f64 1 x)))) (/.f64 (/.f64 0 x) (+.f64 x (/.f64 0 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 1 (/.f64 x (/.f64 1 x)))))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x x)) (/.f64 (/.f64 0 x) (+.f64 x (/.f64 0 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (/.f64 16 (/.f64 8 x)))))
(-.f64 (-.f64 (/.f64 1 (.f64 x x)) (/.f64 0 (.f64 x (/.f64 16 (/.f64 8 x))))) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 0 (.f64 x x)) (/.f64 0 (.f64 x (/.f64 16 (/.f64 8 x))))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 1 (/.f64 x (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 1 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (/.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x))) (*.f64 (/.f64 x x) (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 x (/.f64 0 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 (+.f64 x (/.f64 0 x)) (/.f64 1 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (/.f64 16 (/.f64 8 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (+.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) (/.f64 (*.f64 1 (/.f64 x (/.f64 1 x))) (/.f64 1 x)))
(/.f64 (-.f64 1 (+.f64 (/.f64 0 x) (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (+.f64 (/.f64 0 x) (cos.f64 x))) (*.f64 1 (/.f64 x (/.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 (/.f64 0 x) (cos.f64 x))) (/.f64 x (/.f64 1 x)))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 x)) (.f64 x (*.f64 x (+.f64 x x))))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 x)) (/.f64 (.f64 x (/.f64 16 (/.f64 8 x))) (/.f64 1 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (*.f64 1 (/.f64 x (/.f64 1 x)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (*.f64 x x))) (/.f64 2 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))) 2)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))) (*.f64 2 (/.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (+.f64 x x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2) (/.f64 16 (/.f64 8 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (/.f64 4 (/.f64 1 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (*.f64 x 4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x (/.f64 0 x))) x)
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 x (/.f64 0 x))) (+.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) (*.f64 x x)) x)
(/.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 0 x) (cos.f64 x))) x) x)
(/.f64 (/.f64 (-.f64 (/.f64 0 x) (-.f64 1 (cos.f64 x))) x) (neg.f64 x))
(/.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 0 x) (cos.f64 x))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 x)) (.f64 x x)) (+.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 x x)) (.f64 x (+.f64 x x)))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 x)) (.f64 (.f64 x x) (.f64 x 4)))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (*.f64 x x))) (/.f64 4 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) x) (/.f64 4 (/.f64 1 x)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 2 (.f64 x (/.f64 4 (/.f64 1 x)))))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (.f64 x (/.f64 4 (/.f64 1 x))) 2))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (.f64 x (*.f64 x 4)) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 x x) 2))
(/.f64 (-.f64 2 (.f64 (cos.f64 x) 2)) (.f64 x (/.f64 16 (/.f64 8 x))))
(/.f64 (-.f64 2 (.f64 (cos.f64 x) 2)) (.f64 x (+.f64 x x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (+.f64 x (/.f64 0 x))) (.f64 x (*.f64 x x)))
(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 x 4)) (.f64 (.f64 x x) (*.f64 x 4)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 (+.f64 x (/.f64 0 x))))
(/.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) (.f64 x x))
(/.f64 (.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 4)
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x)) (/.f64 (.f64 x (.f64 x x)) (/.f64 1 x)))
(/.f64 (/.f64 (.f64 x (.f64 x (-.f64 1 (cos.f64 x)))) x) (/.f64 (*.f64 x x) (/.f64 1 x)))
(/.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 x)) (/.f64 1 x)) (/.f64 (.f64 x (*.f64 x (+.f64 x x))) (/.f64 1 x)))
(/.f64 (.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (.f64 (*.f64 1 (/.f64 x (/.f64 1 x))) (/.f64 1 x)))
(/.f64 (.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (.f64 x x)))) (.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))) (.f64 1 (/.f64 x (/.f64 1 x))))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 1 x) (.f64 x x))) (neg.f64 (/.f64 1 x)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) (neg.f64 (.f64 x (/.f64 16 (/.f64 8 x)))))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 x x))) -1)
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 x x))) (neg.f64 (/.f64 x x)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (.f64 x (/.f64 4 (/.f64 1 x)))))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 2 x) (.f64 x x))) (neg.f64 (/.f64 2 x)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 x x)) (neg.f64 (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 x (/.f64 0 x))) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 x x) x)) (neg.f64 x))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 16 (/.f64 8 x))) (.f64 -2 (.f64 x (.f64 x x))))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 x x)) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 4 (.f64 x (*.f64 x x)))) (neg.f64 (/.f64 4 x)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 16 (/.f64 8 x)) (.f64 x (*.f64 x x)))) -2)
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 (+.f64 x (/.f64 0 x)) x)) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 4 (/.f64 1 x))) (neg.f64 (.f64 (.f64 x x) (.f64 x 4))))
(/.f64 (+.f64 (.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 0) (.f64 x x))
(/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 x))) (.f64 x (.f64 x x)))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 2 x))) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 2 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 2 x))) x)
(/.f64 (+.f64 (/.f64 0 x) (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x (/.f64 0 x)))) x)
(/.f64 (+.f64 (/.f64 0 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) (*.f64 x x))) x)
(/.f64 (+.f64 (/.f64 0 x) (/.f64 (-.f64 1 (+.f64 (/.f64 0 x) (cos.f64 x))) x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) 2)) (/.f64 2 x))
(/.f64 (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x (/.f64 0 x))) (/.f64 0 x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x)) (*.f64 x x)) (/.f64 0 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 0 x) (cos.f64 x))) x) (/.f64 0 x)) x)
(/.f64 (-.f64 (/.f64 1 (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 x))) (fabs.f64 x))
(/.f64 (-.f64 (/.f64 (/.f64 x x) x) (.f64 x (/.f64 (cos.f64 x) (.f64 x x)))) x)
(/.f64 (-.f64 (/.f64 16 (/.f64 8 x)) (/.f64 (.f64 (cos.f64 x) 2) (/.f64 1 x))) (.f64 x (*.f64 x (+.f64 x x))))
(/.f64 (-.f64 (/.f64 (+.f64 x (/.f64 0 x)) x) (/.f64 (.f64 x (cos.f64 x)) x)) (.f64 x x))
(/.f64 (.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (.f64 x x)))) (/.f64 8 x))
(/.f64 (.f64 x (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 x x)))) (+.f64 x x))
(/.f64 (.f64 (.f64 x (+.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (.f64 x (.f64 x (+.f64 x x))))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) (*.f64 x 4))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) (/.f64 4 (/.f64 1 x)))
(/.f64 (.f64 (.f64 x (+.f64 x x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) (.f64 (.f64 x x) (.f64 x 4)))
(/.f64 (.f64 4 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (.f64 x x)))) (*.f64 (/.f64 4 x) 4))
(/.f64 (.f64 4 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (.f64 x (/.f64 4 (/.f64 1 x))) 4))
(/.f64 (.f64 4 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (.f64 x (*.f64 x 4)) 4))
(/.f64 (.f64 (.f64 x 4) (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (.f64 x (.f64 x 4)) (*.f64 x 4)))
(/.f64 (.f64 (+.f64 x x) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x)))) (.f64 x 4))
(/.f64 (.f64 2 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 x))) (.f64 (.f64 x x) (*.f64 x 4)))
(/.f64 (.f64 x (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 x (.f64 x (+.f64 x x))))
(/.f64 (*.f64 (/.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x (/.f64 0 x)))
(/.f64 (.f64 (/.f64 1 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (.f64 x (/.f64 16 (/.f64 8 x))) (/.f64 1 x)))
(/.f64 (.f64 (/.f64 1 x) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (.f64 x x)))) (*.f64 (/.f64 2 x) (/.f64 1 x)))
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (+.f64 (/.f64 0 x) (cos.f64 x)))) (+.f64 x (/.f64 0 x)))
(/.f64 (.f64 (/.f64 1 x) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 2 x))) (*.f64 x (/.f64 16 (/.f64 8 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 x x)) (/.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(+.f64 x (/.f64 0 x))
(+.f64 (+.f64 x (/.f64 0 x)) 0)
(+.f64 (+.f64 x (/.f64 0 x)) (/.f64 0 x))
(+.f64 (+.f64 x (/.f64 0 x)) (neg.f64 (/.f64 0 x)))
(+.f64 0 (+.f64 x (/.f64 0 x)))
(+.f64 (/.f64 0 x) x)
(+.f64 (/.f64 0 x) (+.f64 x (/.f64 0 x)))
(+.f64 (/.f64 (+.f64 x (/.f64 0 x)) 2) (/.f64 (+.f64 x (/.f64 0 x)) 2))
(+.f64 (/.f64 (+.f64 x (/.f64 0 x)) 2) (+.f64 (/.f64 (+.f64 x (/.f64 0 x)) 2) 0))
(+.f64 (/.f64 (+.f64 x (/.f64 0 x)) 2) (+.f64 (/.f64 (+.f64 x (/.f64 0 x)) 2) (/.f64 0 x)))
(+.f64 (/.f64 (+.f64 x (/.f64 0 x)) 2) (-.f64 (/.f64 (+.f64 x (/.f64 0 x)) 2) (/.f64 0 x)))
(-.f64 (+.f64 x (/.f64 0 x)) 0)
(-.f64 (+.f64 x (/.f64 0 x)) (/.f64 0 x))
(-.f64 (+.f64 x (/.f64 0 x)) (neg.f64 (/.f64 0 x)))
(-.f64 0 (-.f64 (/.f64 0 x) (+.f64 x (/.f64 0 x))))
(-.f64 (/.f64 0 x) (neg.f64 x))
(-.f64 (/.f64 0 x) (neg.f64 (+.f64 x (/.f64 0 x))))
(-.f64 (-.f64 (/.f64 (+.f64 x (/.f64 0 x)) 2) (/.f64 0 x)) (-.f64 0 (/.f64 (+.f64 x (/.f64 0 x)) 2)))
(*.f64 1 (+.f64 x (/.f64 0 x)))
(*.f64 x (/.f64 x x))
(*.f64 x (/.f64 1 (/.f64 x x)))
(*.f64 x (/.f64 (/.f64 (neg.f64 x) x) -1))
(.f64 (.f64 x x) (/.f64 1 x))
(.f64 (/.f64 1 x) (.f64 x x))
(*.f64 (+.f64 x (/.f64 0 x)) 1)
(*.f64 2 (/.f64 1 (/.f64 2 x)))
(.f64 2 (/.f64 (.f64 x x) (+.f64 x x)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 x x) 2))
(.f64 (/.f64 2 x) (/.f64 (.f64 x x) 2))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1 (+.f64 x x)))
(.f64 (.f64 x (+.f64 x x)) (/.f64 (/.f64 1 x) 2))
(*.f64 4 (/.f64 1 (/.f64 4 x)))
(.f64 4 (/.f64 (.f64 x x) (*.f64 x 4)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 1 x)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 1 x)))
(.f64 (fabs.f64 x) (.f64 1 (/.f64 (fabs.f64 x) x)))
(*.f64 (/.f64 16 (/.f64 8 x)) 1/2)
(.f64 (/.f64 4 x) (/.f64 (.f64 x x) 4))
(.f64 (.f64 x 4) (/.f64 (/.f64 x x) 4))
(.f64 -1 (.f64 x (/.f64 (neg.f64 x) x)))
(*.f64 (/.f64 4 (/.f64 1 x)) 1/4)
(*.f64 1/2 (/.f64 16 (/.f64 8 x)))
(.f64 1/2 (.f64 (+.f64 x x) (/.f64 x x)))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 x (+.f64 x x)))
(*.f64 (/.f64 1 (/.f64 2 x)) 2)
(*.f64 (/.f64 1 (/.f64 4 x)) 4)
(.f64 (/.f64 x 2) (.f64 2 (/.f64 x x)))
(.f64 (/.f64 (.f64 x x) 2) (/.f64 2 x))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 4 (.f64 x x)))
(.f64 (/.f64 (.f64 x x) (+.f64 x x)) 2)
(.f64 (/.f64 (.f64 x x) (*.f64 x 4)) 4)
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) x) 2))
(*.f64 8 (/.f64 1 (/.f64 8 x)))
(.f64 8 (/.f64 (.f64 x x) (.f64 2 (.f64 x 4))))
(.f64 (.f64 x (.f64 x 4)) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 x (*.f64 x 4)) (/.f64 (/.f64 1 x) 4))
(*.f64 (/.f64 x x) x)
(*.f64 (/.f64 x x) (+.f64 x (/.f64 0 x)))
(*.f64 (/.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (/.f64 (fabs.f64 x) x) (fabs.f64 x))
(pow.f64 (+.f64 x (/.f64 0 x)) 1)

Outputs
(/.f64 1/2 x)
(+.f64 (.f64 -1/24 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/720 (pow.f64 x 3)) (+.f64 (.f64 -1/24 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 x -1/24) (*.f64 1/720 (pow.f64 x 3))))
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(-.f64 (+.f64 x (/.f64 0 x)) (neg.f64 (/.f64 0 x)))
x
(-.f64 0 (-.f64 (/.f64 0 x) (+.f64 x (/.f64 0 x))))
x
(-.f64 (/.f64 0 x) (neg.f64 x))
x
(-.f64 (/.f64 0 x) (neg.f64 (+.f64 x (/.f64 0 x))))
x
(-.f64 (-.f64 (/.f64 (+.f64 x (/.f64 0 x)) 2) (/.f64 0 x)) (-.f64 0 (/.f64 (+.f64 x (/.f64 0 x)) 2)))
(-.f64 (/.f64 (+.f64 (/.f64 x x) 0) (/.f64 2 x)) (neg.f64 (/.f64 (+.f64 x (/.f64 0 x)) 2)))
(-.f64 (/.f64 x 2) (neg.f64 (/.f64 x 2)))
(*.f64 1 (+.f64 x (/.f64 0 x)))
x
(*.f64 x (/.f64 x x))
(*.f64 x (/.f64 1 (/.f64 x x)))
(*.f64 x (/.f64 x x))
(*.f64 x (/.f64 (/.f64 (neg.f64 x) x) -1))
(*.f64 x (/.f64 x x))
(.f64 (.f64 x x) (/.f64 1 x))
(*.f64 x (/.f64 x x))
(.f64 (/.f64 1 x) (.f64 x x))
(*.f64 x (/.f64 x x))
(*.f64 (+.f64 x (/.f64 0 x)) 1)
x
(*.f64 2 (/.f64 1 (/.f64 2 x)))
(*.f64 1 (/.f64 2 (/.f64 2 x)))
(.f64 2 (/.f64 (.f64 x x) (+.f64 x x)))
(*.f64 x (/.f64 x x))
(*.f64 (+.f64 x x) (/.f64 (/.f64 x x) 2))
(*.f64 x (/.f64 x x))
(.f64 (/.f64 2 x) (/.f64 (.f64 x x) 2))
(*.f64 x (/.f64 x x))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1 (+.f64 x x)))
(*.f64 x (/.f64 x x))
(.f64 (.f64 x (+.f64 x x)) (/.f64 (/.f64 1 x) 2))
(*.f64 x (/.f64 x x))
(*.f64 4 (/.f64 1 (/.f64 4 x)))
(*.f64 2 (/.f64 4 (/.f64 8 x)))
(.f64 4 (/.f64 (.f64 x x) (*.f64 x 4)))
(*.f64 x (/.f64 x x))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) x))
(*.f64 x (/.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 1 x)))
(*.f64 x (/.f64 x x))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x))
(*.f64 x (/.f64 (fabs.f64 x) (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 1 x)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x))
(*.f64 x (/.f64 (fabs.f64 x) (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 1 (/.f64 (fabs.f64 x) x)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x))
(*.f64 x (/.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 16 (/.f64 8 x)) 1/2)
(*.f64 1/2 (/.f64 16 (/.f64 8 x)))
(.f64 (/.f64 4 x) (/.f64 (.f64 x x) 4))
(*.f64 x (/.f64 x x))
(.f64 (.f64 x 4) (/.f64 (/.f64 x x) 4))
(*.f64 x (/.f64 x x))
(.f64 -1 (.f64 x (/.f64 (neg.f64 x) x)))
(*.f64 x (/.f64 x x))
(*.f64 (/.f64 4 (/.f64 1 x)) 1/4)
(*.f64 1/4 (/.f64 4 (/.f64 1 x)))
(*.f64 4 (/.f64 1/4 (/.f64 1 x)))
(*.f64 1/2 (/.f64 16 (/.f64 8 x)))
(.f64 1/2 (.f64 (+.f64 x x) (/.f64 x x)))
(*.f64 x (/.f64 x x))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 x (+.f64 x x)))
(*.f64 x (/.f64 x x))
(*.f64 (/.f64 1 (/.f64 2 x)) 2)
(*.f64 2 (/.f64 1 (/.f64 2 x)))
(*.f64 1 (/.f64 2 (/.f64 2 x)))
(*.f64 (/.f64 1 (/.f64 4 x)) 4)
(*.f64 4 (/.f64 1 (/.f64 4 x)))
(*.f64 2 (/.f64 4 (/.f64 8 x)))
(.f64 (/.f64 x 2) (.f64 2 (/.f64 x x)))
(*.f64 x (/.f64 x x))
(.f64 (/.f64 (.f64 x x) 2) (/.f64 2 x))
(*.f64 x (/.f64 x x))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 4 (.f64 x x)))
(*.f64 x (/.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x x)) 2)
(*.f64 x (/.f64 x x))
(.f64 (/.f64 (.f64 x x) (*.f64 x 4)) 4)
(*.f64 x (/.f64 x x))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) x) 2))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x))
(*.f64 x (/.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 8 (/.f64 1 (/.f64 8 x)))
(*.f64 1 (/.f64 8 (/.f64 8 x)))
(.f64 8 (/.f64 (.f64 x x) (.f64 2 (.f64 x 4))))
(*.f64 x (/.f64 x x))
(.f64 (.f64 x (.f64 x 4)) (/.f64 1 (.f64 x 4)))
(*.f64 x (/.f64 x x))
(.f64 (.f64 x (*.f64 x 4)) (/.f64 (/.f64 1 x) 4))
(*.f64 x (/.f64 x x))
(*.f64 (/.f64 x x) x)
(*.f64 x (/.f64 x x))
(*.f64 (/.f64 x x) (+.f64 x (/.f64 0 x)))
(*.f64 x (/.f64 x x))
(*.f64 (/.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 x (/.f64 x x))
(*.f64 (/.f64 (fabs.f64 x) x) (fabs.f64 x))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x))
(*.f64 x (/.f64 (fabs.f64 x) (fabs.f64 x)))
(pow.f64 (+.f64 x (/.f64 0 x)) 1)
x

eval3.3s (6%)

Compiler: Compiled 32129 to 19677 computations (38.8% saved)

prune1.8s (3.2%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1526	11	1537
Fresh	6	4	10
Picked	0	1	1
Done	2	3	5
Total	1534	19	1553

Error

0.0b

Counts

1553 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.2b	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) x) (.f64 x x))
	32.4b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
▶	37.6b	(/.f64 (-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x)))) (/.f64 2 x))
	37.8b	(/.f64 (-.f64 (/.f64 16 (/.f64 8 x)) (/.f64 (.f64 (cos.f64 x) 2) (/.f64 1 x))) (.f64 x (*.f64 x (+.f64 x x))))
	32.4b	(/.f64 (-.f64 (/.f64 1 (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
	33.2b	(/.f64 (-.f64 (-.f64 1 (cos.f64 x)) (-.f64 (.f64 2 (cos.f64 x)) (-.f64 3 (cos.f64 x)))) (.f64 x (*.f64 x 4)))
✓	33.2b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	37.7b	(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
	32.9b	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	32.9b	(-.f64 (/.f64 1/2 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 x (+.f64 x x))))
✓	30.0b	(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2)))))
✓	30.0b	(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
▶	32.9b	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
✓	37.7b	(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 (/.f64 1 x)))
▶	29.2b	(*.f64 (/.f64 1/2 x) (/.f64 1 (/.f64 1 x)))
	33.2b	(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
	30.0b	(.f64 (+.f64 (.f64 x -1/24) (+.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/40320 (pow.f64 x 5))) (*.f64 1/720 (pow.f64 x 3)))) (/.f64 1 (/.f64 1 x)))
▶	30.1b	(.f64 (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))) (/.f64 1 (/.f64 1 x)))
	29.2b	1/2

Compiler

Compiled 506 to 348 computations (31.2% saved)

localize34.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 1/2 x) (/.f64 1 (/.f64 1 x)))
	0.1b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 24 to 18 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite238.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`rational_best-2`
930×	`rational_best-3`
930×	`rational_best-1`
928×	`rational_best-4`
928×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	66	13
2	159	13
3	622	1
4	4424	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 1/2 x) (/.f64 1 (/.f64 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x -1/24) (.f64 1/2 (/.f64 1 x)))
✓	0.1b	(.f64 (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))) (/.f64 1 (/.f64 1 x)))
	0.1b	(/.f64 1 (/.f64 1 x))
✓	0.3b	(*.f64 x -1/24)

Compiler

Compiled 45 to 35 computations (22.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite343.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`rational_best-2`
1138×	`rational_best-3`
1138×	`rational_best-1`
1134×	`rational_best-4`
1132×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	90	57
2	204	57
3	647	51
4	3590	51

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/24) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) (neg.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/24) 2) (/.f64 (*.f64 x -1/24) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 (*.f64 x 1/24) 2)) (neg.f64 (/.f64 (*.f64 x 1/24) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (neg.f64 (/.f64 (*.f64 x -1/24) 2))) (neg.f64 (neg.f64 (/.f64 (*.f64 x -1/24) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 (*.f64 x -1/24) -2)) (neg.f64 (/.f64 (*.f64 x -1/24) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/4 x)) (neg.f64 (+.f64 (*.f64 x 1/24) (/.f64 1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -1/24) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -1/24) 2) (/.f64 (*.f64 x 1/24) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 1/24) -2) (/.f64 (*.f64 x -1/24) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/24) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -1/12)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) -1/12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 x x) -1/12) (*.f64 (+.f64 x x) -1/12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x 1/24))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1 x))) (neg.f64 (/.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1 x))) (neg.f64 (/.f64 0 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/4 (/.f64 (*.f64 x 1/24) (/.f64 2 x))) (-.f64 1/4 (/.f64 (*.f64 x 1/24) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/24) (/.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12))) (-.f64 -1/2 (/.f64 (*.f64 x -1/24) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) (+.f64 (-.f64 1/4 (/.f64 (*.f64 x 1/24) (/.f64 2 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) (/.f64 (+.f64 1 (/.f64 (*.f64 x -1/24) (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) (/.f64 (+.f64 (*.f64 x -1/24) (/.f64 1 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/4 (+.f64 (-.f64 1/4 (/.f64 (*.f64 x 1/24) (/.f64 2 x))) (/.f64 (*.f64 x -1/24) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/4 (/.f64 (+.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 x) (*.f64 x -1/12)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1/4 (/.f64 (*.f64 x 1/24) (/.f64 2 x))) (/.f64 (*.f64 x -1/24) (/.f64 2 x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1/4 (/.f64 (*.f64 x 1/24) (/.f64 2 x))) 1/4) (/.f64 (*.f64 x -1/24) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3/2 (neg.f64 (+.f64 1 (/.f64 (*.f64 x -1/24) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 x -1/24) (/.f64 1 x))) 2) (/.f64 (*.f64 x -1/24) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 x -1/24) (/.f64 1 x)) (/.f64 2 x)) (/.f64 (*.f64 x -1/24) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 1/2 x) (*.f64 x -1/12)) (/.f64 2 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 (*.f64 x 1/24) (/.f64 2 x))) (neg.f64 (/.f64 (*.f64 x 1/24) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 0 (/.f64 -1 x))) (/.f64 (*.f64 x -1/24) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 (/.f64 (*.f64 x -1/24) 2) (/.f64 -1 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simplify428.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1208×	`rational_best-simplify-54`
1194×	`rational_best-simplify-52`
1132×	`rational_best-simplify-48`
680×	`rational_best-simplify-51`
630×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	4777
1	1006	4759
2	4068	4519

Stop Event

1×	node limit

Counts

193 → 183

Calls

Call 1

Inputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
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1/2
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(/.f64 (-.f64 1/4 (/.f64 (*.f64 x 1/24) (/.f64 2 x))) 1/2)
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(/.f64 (/.f64 (+.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1 x))) (/.f64 1/2 x)) (+.f64 x x))
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(/.f64 (+.f64 (/.f64 2 x) (*.f64 (+.f64 x x) -1/12)) (/.f64 4 x))
(/.f64 (+.f64 1 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x))) 2)
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(/.f64 (/.f64 (/.f64 (+.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1 x))) (/.f64 1 x)) (/.f64 2 x)) (/.f64 x (/.f64 2 x)))
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(pow.f64 (+.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1 x))) 1)
(neg.f64 (-.f64 -1/2 (/.f64 (*.f64 x -1/24) (/.f64 1 x))))
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(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 (.f64 x -1/24) 2)) (neg.f64 (/.f64 (.f64 x -1/24) 2)))
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(.f64 1 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)))
(.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 1)
(.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) 1/2)
(.f64 (+.f64 (.f64 x 1/24) (/.f64 -1/2 x)) -1)
(.f64 (.f64 2 (+.f64 (/.f64 1 x) (*.f64 x -1/12))) 1/4)
(.f64 1/4 (.f64 2 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(/.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 1)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 2)
(/.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1/2 x)) -1)
(/.f64 (.f64 2 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 4)
(/.f64 (+.f64 (/.f64 2 x) (*.f64 (+.f64 x x) -1/12)) 4)
(/.f64 (+.f64 (.f64 2 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 2 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) 8)
(pow.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 1)
(neg.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1/2 x)))

Outputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
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(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(-.f64 (/.f64 (.f64 x 1/24) -2) (-.f64 (/.f64 (.f64 x -1/24) -2) (/.f64 1/2 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 (.f64 x -1/24) 2)) (neg.f64 (/.f64 (.f64 x -1/24) 2)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 x -1/12)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (+.f64 (.f64 x -1/24) (/.f64 1/2 x)) 1)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) 1/2)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (+.f64 (.f64 x 1/24) (/.f64 -1/2 x)) -1)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 (.f64 2 (+.f64 (/.f64 1 x) (*.f64 x -1/12))) 1/4)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(.f64 1/4 (.f64 2 (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 1)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 2)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1/2 x)) -1)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (.f64 2 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 4)
(/.f64 (+.f64 (/.f64 2 x) (*.f64 (+.f64 x x) -1/12)) 4)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(/.f64 (+.f64 (.f64 2 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 2 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) 8)
(/.f64 (.f64 2 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 4)
(pow.f64 (+.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 1)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))
(neg.f64 (+.f64 (*.f64 x 1/24) (/.f64 -1/2 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/24 x))
(+.f64 (/.f64 1/2 x) (*.f64 -1/24 x))

localize36.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 x) x)
	3.2b	(-.f64 1 (cos.f64 x))
✓	16.1b	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series19.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	(/.f64 (/.f64 1 x) x)
0.0ms	x	@	0	(/.f64 (/.f64 1 x) x)
0.0ms	x	@	0	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
0.0ms	x	@	-inf	(/.f64 (/.f64 1 x) x)
0.0ms	x	@	inf	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))

rewrite320.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`rational_best-4`
1560×	`rational_best-2`
1560×	`rational_best-3`
1560×	`rational_best-1`
1558×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	70	36
2	175	36
3	670	36
4	3849	36

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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

simplify365.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1462×	`rational_best-simplify-67`
1214×	`rational_best-simplify-1`
984×	`rational_best-simplify-63`
694×	`rational_best-simplify-108`
678×	`rational_best-simplify-66`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	3851
1	925	2977
2	3703	2953

Stop Event

1×	node limit

Counts

155 → 159

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (/.f64 1 (.f64 x x)))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/2 x) x)) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (+.f64 x x))) (/.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (.f64 x (+.f64 x x))))
(+.f64 (/.f64 (+.f64 2 (neg.f64 (cos.f64 x))) (.f64 x (+.f64 x x))) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (+.f64 x x))))
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (neg.f64 (/.f64 1/2 x)) x)))
(-.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/2 x) x)) (/.f64 (+.f64 (cos.f64 x) -1) (.f64 x (+.f64 x x))))
(-.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/2 x) x)) (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 2))
(-.f64 (-.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (neg.f64 (/.f64 1/2 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 x x)) (/.f64 x 2))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 x (+.f64 x x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))) 2)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))) (/.f64 (.f64 x (+.f64 x x)) (.f64 x x)))
(/.f64 (*.f64 -2 (/.f64 (+.f64 (cos.f64 x) -1) x)) (+.f64 x x))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1/2 x) x)) 1/2)
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) -1)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 x (*.f64 x 4)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x x))) 4)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x x))) (/.f64 (.f64 x (.f64 x 4)) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) x) (.f64 x 4))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 x)) (.f64 x -2))
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) x)) (+.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 (.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (.f64 x x) -1/2))
(/.f64 (.f64 (/.f64 2 x) (+.f64 (cos.f64 x) -1)) (.f64 x -2))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (.f64 x (*.f64 x 4))))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (.f64 x x))) -2)
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 4 x)) (neg.f64 (.f64 x 4)))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 4 (.f64 x x))) -4)
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 8 x)) (neg.f64 (.f64 2 (*.f64 x 4))))
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 x)) x)
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (.f64 x (*.f64 x x)))) (/.f64 -1 x))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (.f64 x (*.f64 x x)))) (neg.f64 (/.f64 2 x)))
(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 (+.f64 (cos.f64 x) -1) x)) (*.f64 x -2))
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) 4) (.f64 (-.f64 1 (cos.f64 x)) 4)) (+.f64 (.f64 x (.f64 x 4)) (.f64 x (.f64 x 4))))
(/.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x x))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x x)))) 8)
(/.f64 (.f64 2 (.f64 -2 (/.f64 (+.f64 (cos.f64 x) -1) x))) (*.f64 x 4))
(/.f64 (.f64 4 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 (.f64 x 4) (*.f64 x 4)))
(/.f64 (.f64 4 (.f64 (-.f64 1 (cos.f64 x)) 4)) (.f64 4 (.f64 x (*.f64 x 4))))
(/.f64 (.f64 (/.f64 4 (.f64 x x)) (*.f64 (-.f64 1 (cos.f64 x)) 4)) 16)
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 x)) 2) 8) (.f64 (.f64 x 4) (*.f64 x 4)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (.f64 x x)) (/.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x x)) (/.f64 x (.f64 x x)))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x x))) (.f64 x x)) (/.f64 2 (.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (.f64 x x)) (/.f64 (neg.f64 x) (.f64 x x)))
(/.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x x))) (.f64 x x)) (/.f64 4 (.f64 x x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(neg.f64 (.f64 (/.f64 1 (.f64 x x)) (+.f64 (cos.f64 x) -1)))
(+.f64 (/.f64 1 (*.f64 x x)) 0)
(+.f64 0 (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 (/.f64 1 x) (.f64 x 4)) (/.f64 (/.f64 3 x) (.f64 x 4)))
(+.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) 2) (/.f64 (/.f64 (/.f64 3 x) (+.f64 x x)) 2))
(+.f64 (/.f64 (/.f64 (/.f64 3 x) (+.f64 x x)) 2) (/.f64 (/.f64 (/.f64 1/2 x) x) 2))
(+.f64 (/.f64 (/.f64 3 x) (.f64 x 4)) (/.f64 (/.f64 1 x) (.f64 x 4)))
(+.f64 (fabs.f64 (/.f64 (/.f64 1/2 x) x)) (fabs.f64 (/.f64 (/.f64 1/2 x) x)))
(-.f64 (/.f64 1 (*.f64 x x)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (*.f64 x x))))
(-.f64 0 (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 (neg.f64 (/.f64 1/2 x)) x))
(-.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 (neg.f64 (/.f64 1 (*.f64 x x))) 2))
(-.f64 (/.f64 2 (.f64 x x)) (/.f64 1 (.f64 x x)))
(-.f64 (/.f64 (/.f64 (/.f64 3 x) (+.f64 x x)) 2) (/.f64 (/.f64 (neg.f64 (/.f64 1/2 x)) x) 2))
(-.f64 (/.f64 (/.f64 3 x) (.f64 x 4)) (/.f64 (/.f64 -1 x) (.f64 x 4)))
(.f64 1 (/.f64 1 (.f64 x x)))
(.f64 x (/.f64 1 (.f64 x (*.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(.f64 (/.f64 1 x) (.f64 x (/.f64 1 (*.f64 x x))))
(.f64 (/.f64 1 (.f64 x x)) 1)
(.f64 (/.f64 1 (.f64 x x)) (*.f64 x (/.f64 1 x)))
(*.f64 2 (/.f64 (/.f64 1/2 x) x))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (/.f64 1/2 x) x) x))
(*.f64 (/.f64 2 x) (/.f64 1/2 x))
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(.f64 4 (/.f64 1 (.f64 x (*.f64 x 4))))
(.f64 4 (/.f64 (/.f64 1 x) (.f64 x 4)))
(.f64 4 (/.f64 2 (.f64 x (.f64 2 (.f64 x 4)))))
(.f64 4 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(*.f64 (/.f64 (/.f64 1/2 x) x) 2)
(.f64 (/.f64 (/.f64 1/2 x) x) (.f64 x (/.f64 2 x)))
(.f64 (/.f64 2 (.f64 x x)) 1/2)
(.f64 (/.f64 4 x) (/.f64 1 (.f64 x 4)))
(*.f64 (/.f64 4 x) (/.f64 (/.f64 1 x) 4))
(.f64 (/.f64 4 x) (.f64 (/.f64 1/2 x) 1/2))
(*.f64 (/.f64 1/2 x) (/.f64 2 x))
(.f64 (/.f64 1/2 x) (.f64 x (/.f64 2 (*.f64 x x))))
(.f64 1/2 (/.f64 2 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x 4)) (/.f64 4 x))
(.f64 8 (/.f64 (/.f64 1 x) (.f64 2 (*.f64 x 4))))
(.f64 8 (.f64 (/.f64 1/2 x) (/.f64 1 (*.f64 x 4))))
(.f64 (/.f64 4 (.f64 x x)) 1/4)
(.f64 (/.f64 8 x) (/.f64 1 (.f64 2 (*.f64 x 4))))
(.f64 (/.f64 1 (.f64 x (*.f64 x x))) x)
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) (/.f64 1 (/.f64 2 x)))
(*.f64 -2 (/.f64 (neg.f64 (/.f64 1/2 x)) x))
(.f64 (.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x)))
(.f64 (.f64 x (/.f64 2 x)) (/.f64 (/.f64 1/2 x) x))
(.f64 1/4 (/.f64 4 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x (*.f64 x 4))) 4)
(.f64 (/.f64 1 (.f64 2 (*.f64 x 4))) (/.f64 8 x))
(.f64 (/.f64 1 (/.f64 2 x)) (/.f64 2 (.f64 x (*.f64 x x))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x 4)) 4)
(*.f64 (/.f64 (/.f64 1 x) 4) (/.f64 4 x))
(.f64 (/.f64 (/.f64 1 x) (.f64 2 (*.f64 x 4))) 8)
(.f64 (/.f64 2 (.f64 x (.f64 2 (.f64 x 4)))) 4)
(*.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) x) (+.f64 x x))
(.f64 (.f64 x (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(.f64 (.f64 x (/.f64 2 (*.f64 x x))) (/.f64 1/2 x))
(.f64 (.f64 x (/.f64 4 x)) (/.f64 (/.f64 1 (*.f64 x 4)) x))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 4)
(.f64 (.f64 (/.f64 1/2 x) 1/2) (/.f64 4 x))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1 (*.f64 x 4))) 8)
(.f64 (/.f64 (/.f64 1 (.f64 x 4)) x) (*.f64 x (/.f64 4 x)))
(.f64 (+.f64 (.f64 x (/.f64 2 x)) -1) (/.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(neg.f64 (neg.f64 (/.f64 1 (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 -1 x) x))
(fabs.f64 (/.f64 1 (*.f64 x x)))

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

localize58.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (cos.f64 x))
✓	0.1b	(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)
✓	3.2b	(-.f64 x (*.f64 x (cos.f64 x)))
✓	15.1b	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) x) (.f64 x x))

Compiler

Compiled 37 to 7 computations (81.1% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite443.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`rational_best-simplify-52`
814×	`rational_best-simplify-78`
594×	`rational_best-simplify-55`
548×	`rational_best-2`
548×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	86
1	79	86
2	269	86
3	1348	62

Stop Event

1×	node limit

Counts

4 → 392

Calls

Call 1

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

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

simplify457.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational_best-simplify-50`
1222×	`rational_best-simplify-108`
1136×	`rational_best-simplify-53`
1116×	`rational_best-simplify-1`
1024×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	859	9604
1	2669	9114

Stop Event

1×	node limit

Counts

440 → 461

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 3))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/24 (pow.f64 x 5)))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/24 (pow.f64 x 5)) (*.f64 1/720 (pow.f64 x 7))))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/24 (pow.f64 x 5)) (+.f64 (.f64 1/720 (pow.f64 x 7)) (.f64 -1/40320 (pow.f64 x 9)))))
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) x)
(.f64 (+.f64 1 (.f64 -1 (cos.f64 x))) x)
(.f64 (+.f64 1 (.f64 -1 (cos.f64 x))) x)
(.f64 (+.f64 1 (.f64 -1 (cos.f64 x))) x)
(.f64 (+.f64 1 (.f64 -1 (cos.f64 x))) x)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(+.f64 (.f64 1/24 (pow.f64 x 5)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) x))
(+.f64 (.f64 1/24 (pow.f64 x 5)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/720 (pow.f64 x 7)) x)))
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 0)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 0 (.f64 x x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (/.f64 0 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (/.f64 0 (.f64 x (*.f64 x x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (neg.f64 (/.f64 0 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (neg.f64 (/.f64 0 (.f64 x x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (neg.f64 (/.f64 0 (.f64 x (*.f64 x x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (/.f64 0 (.f64 x (*.f64 x x))) (/.f64 0 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (+.f64 (/.f64 0 x) (/.f64 0 (.f64 x (*.f64 x x)))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 0 (.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
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(.f64 (.f64 (+.f64 x x) (-.f64 1 (cos.f64 x))) (/.f64 1 (+.f64 x x)))
(.f64 (.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 -1 x))
(.f64 (.f64 (.f64 x 4) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 (/.f64 1 (+.f64 x x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 1 (+.f64 x x))))
(.f64 (.f64 (.f64 -2 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 -2 x)))
(.f64 (.f64 (neg.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1/2 (neg.f64 x)))
(.f64 (.f64 (.f64 x 4) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1/2 (*.f64 x 4)))
(.f64 (.f64 (.f64 -2 x) (.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1/2 (*.f64 -2 x)))
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(.f64 (.f64 (.f64 -2 x) (.f64 -2 (.f64 x (+.f64 (cos.f64 x) -1)))) (/.f64 (/.f64 1 (+.f64 x x)) (.f64 -2 x)))
(.f64 (.f64 (+.f64 x x) (*.f64 x (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 -1 x) (+.f64 x x)))
(.f64 (.f64 (/.f64 1 x) (*.f64 x (+.f64 (cos.f64 x) -1))) -1)
(.f64 (.f64 (.f64 x 4) (.f64 x (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 -1 x) (*.f64 x 4)))
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(.f64 (.f64 (+.f64 x x) (.f64 (-.f64 x (.f64 x (cos.f64 x))) 4)) (/.f64 (/.f64 1 (*.f64 x 4)) (+.f64 x x)))
(.f64 (.f64 (neg.f64 x) (.f64 (-.f64 x (.f64 x (cos.f64 x))) 4)) (/.f64 (/.f64 1 (*.f64 x 4)) (neg.f64 x)))
(.f64 (.f64 -1 (.f64 (-.f64 x (.f64 x (cos.f64 x))) 4)) (/.f64 (/.f64 1 (*.f64 x 4)) -1))
(.f64 (.f64 (.f64 -2 x) (.f64 (-.f64 x (.f64 x (cos.f64 x))) 4)) (/.f64 (/.f64 1 (.f64 x 4)) (*.f64 -2 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(neg.f64 (-.f64 -1 (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 x (cos.f64 x)) 0)
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(-.f64 (*.f64 x (cos.f64 x)) 0)
(/.f64 (*.f64 x (cos.f64 x)) 1)
(/.f64 (.f64 x (.f64 (cos.f64 x) 2)) 2)
(/.f64 (.f64 (.f64 x 4) (cos.f64 x)) 4)
(/.f64 (.f64 (.f64 x 4) (.f64 2 (.f64 (cos.f64 x) 2))) 16)
(/.f64 (*.f64 (+.f64 x x) (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 2)) (.f64 x 4)) 16)
(/.f64 (*.f64 (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x))) (+.f64 x x)) 4)
(pow.f64 (*.f64 x (cos.f64 x)) 1)

Outputs
1/2
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x
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(.f64 (.f64 (/.f64 1 x) (*.f64 x (+.f64 (cos.f64 x) -1))) -1)
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (.f64 x 4) (.f64 x (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 -1 x) (*.f64 x 4)))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 -1 (*.f64 x (+.f64 (cos.f64 x) -1))) (/.f64 1 x))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (/.f64 1 (+.f64 x x)) (*.f64 x (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x x))))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (.f64 -2 x) (.f64 x (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 -1 x) (*.f64 -2 x)))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (+.f64 x x) (.f64 (-.f64 x (.f64 x (cos.f64 x))) 4)) (/.f64 (/.f64 1 (*.f64 x 4)) (+.f64 x x)))
(.f64 (-.f64 x (.f64 x (cos.f64 x))) (/.f64 1 x))
(-.f64 1 (/.f64 (*.f64 x (cos.f64 x)) x))
(.f64 (.f64 (neg.f64 x) (.f64 (-.f64 x (.f64 x (cos.f64 x))) 4)) (/.f64 (/.f64 1 (*.f64 x 4)) (neg.f64 x)))
(.f64 (-.f64 x (.f64 x (cos.f64 x))) (/.f64 1 x))
(-.f64 1 (/.f64 (*.f64 x (cos.f64 x)) x))
(.f64 (.f64 -1 (.f64 (-.f64 x (.f64 x (cos.f64 x))) 4)) (/.f64 (/.f64 1 (*.f64 x 4)) -1))
(.f64 (-.f64 x (.f64 x (cos.f64 x))) (/.f64 1 x))
(-.f64 1 (/.f64 (*.f64 x (cos.f64 x)) x))
(.f64 (.f64 (.f64 -2 x) (.f64 (-.f64 x (.f64 x (cos.f64 x))) 4)) (/.f64 (/.f64 1 (.f64 x 4)) (*.f64 -2 x)))
(.f64 (-.f64 x (.f64 x (cos.f64 x))) (/.f64 1 x))
(-.f64 1 (/.f64 (*.f64 x (cos.f64 x)) x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(neg.f64 (-.f64 -1 (neg.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 (*.f64 x (cos.f64 x)) 0)
(*.f64 x (cos.f64 x))
(+.f64 0 (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(+.f64 (/.f64 (.f64 x (cos.f64 x)) 2) (/.f64 (.f64 x (cos.f64 x)) 2))
(*.f64 x (cos.f64 x))
(+.f64 (/.f64 (.f64 x (cos.f64 x)) 2) (+.f64 (/.f64 (.f64 x (cos.f64 x)) 2) 0))
(*.f64 x (cos.f64 x))
(-.f64 (*.f64 x (cos.f64 x)) 0)
(*.f64 x (cos.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) 1)
(*.f64 x (cos.f64 x))
(/.f64 (.f64 x (.f64 (cos.f64 x) 2)) 2)
(/.f64 (.f64 x (.f64 2 (cos.f64 x))) 2)
(/.f64 (.f64 (.f64 x 4) (cos.f64 x)) 4)
(/.f64 (.f64 (cos.f64 x) (.f64 x 4)) 4)
(/.f64 (.f64 (.f64 x 4) (.f64 2 (.f64 (cos.f64 x) 2))) 16)
(/.f64 (.f64 (.f64 x 4) (.f64 2 (.f64 2 (cos.f64 x)))) 16)
(/.f64 (.f64 (.f64 2 (cos.f64 x)) (*.f64 x 8)) 16)
(/.f64 (*.f64 (+.f64 x x) (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 2)) (.f64 x 4)) 16)
(/.f64 (.f64 (.f64 x 4) (.f64 2 (.f64 2 (cos.f64 x)))) 16)
(/.f64 (.f64 (.f64 2 (cos.f64 x)) (*.f64 x 8)) 16)
(/.f64 (*.f64 (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x))) (+.f64 x x)) 4)
(/.f64 (*.f64 (+.f64 x x) (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) 4)
(pow.f64 (*.f64 x (cos.f64 x)) 1)
(*.f64 x (cos.f64 x))

localize84.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (.f64 x x)))
✓	0.1b	(/.f64 (/.f64 2 x) (*.f64 x x))
✓	4.6b	(/.f64 (-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x)))) (/.f64 2 x))
✓	24.7b	(-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x))))

Compiler

Compiled 68 to 32 computations (52.9% saved)

series10.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 (/.f64 2 x) (*.f64 x x))
1.0ms	x	@	inf	(-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x)))) (/.f64 2 x))
1.0ms	x	@	-inf	(-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x))))
1.0ms	x	@	inf	(/.f64 (-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x)))) (/.f64 2 x))

rewrite353.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`rational_best-simplify-67`
1014×	`rational_best-simplify-55`
758×	`rational_best-simplify-52`
704×	`rational_best-4`
704×	`rational_best-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	166
1	96	166
2	318	130
3	1588	130

Stop Event

1×	node limit

Counts

4 → 285

Calls

Call 1

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

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

simplify512.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational_best-simplify-108`
1186×	`rational_best-simplify-53`
1166×	`rational_best-simplify-49`
782×	`rational_best-simplify-55`
508×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	665	12711
1	1959	9987

Stop Event

1×	node limit

Counts

333 → 373

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (.f64 -1/12 x) (+.f64 (/.f64 1 x) (.f64 1/360 (pow.f64 x 3))))
(+.f64 (.f64 -1/12 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5)))))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 -2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 -2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 -2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 -2 (cos.f64 x))) (pow.f64 x 3))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(.f64 1/2 (/.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 -2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 -2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 -2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 -2 (cos.f64 x))) (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/12 x) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) (/.f64 1 x))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (+.f64 (/.f64 0 x) (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2)))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x))) -1/2)))
(+.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))) 0)
(+.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 0 (.f64 x x))))
(+.f64 0 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2) (/.f64 2 (.f64 x (.f64 x x))))
(+.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2) (neg.f64 (neg.f64 (/.f64 2 (.f64 x (.f64 x x))))))
(+.f64 (/.f64 0 (.f64 x x)) (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (-.f64 0 (.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (-.f64 (.f64 2 (cos.f64 x)) 1))))
(+.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (+.f64 (/.f64 0 (.f64 x x)) (-.f64 0 (.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (-.f64 (*.f64 2 (cos.f64 x)) 1)))))
(+.f64 (/.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) 2) (/.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) 2))
(+.f64 (/.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) 2) (+.f64 (/.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) 2) 0))
(+.f64 (-.f64 0 (.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (-.f64 (.f64 2 (cos.f64 x)) 1))) (/.f64 (/.f64 1 (.f64 x x)) x))
(+.f64 (-.f64 0 (.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (-.f64 (.f64 2 (cos.f64 x)) 1))) (neg.f64 (neg.f64 (/.f64 (/.f64 1 (.f64 x x)) x))))
(+.f64 (-.f64 (/.f64 4 (.f64 x (.f64 x x))) (.f64 2 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))))) (neg.f64 (/.f64 2 (.f64 x (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) 1)
(.f64 1 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (.f64 x x)))) 1/2)
(.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (+.f64 (cos.f64 x) -1)) -1)
(.f64 (/.f64 1 x) (-.f64 (/.f64 2 (.f64 x x)) (.f64 2 (/.f64 (cos.f64 x) (.f64 x x)))))
(.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x))))) 1/4)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (.f64 x x)))))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (.f64 x (*.f64 x x))))
(/.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) 2)
(/.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (+.f64 (cos.f64 x) -1)) -1)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (.f64 x x))))) 4)
(/.f64 (-.f64 (/.f64 8 (.f64 x (.f64 x x))) (.f64 8 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x))))) 4)
(/.f64 (-.f64 (/.f64 2 x) (.f64 (/.f64 2 x) (cos.f64 x))) (.f64 x x))
(/.f64 (-.f64 4 (.f64 2 (.f64 2 (cos.f64 x)))) (.f64 2 (.f64 x (*.f64 x x))))
(pow.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))) 1)
(neg.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (+.f64 (cos.f64 x) -1)))
(+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) 0)
(+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (/.f64 0 (/.f64 4 x)))
(+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (neg.f64 (/.f64 0 x)))
(+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (neg.f64 (/.f64 0 (/.f64 4 x))))
(+.f64 0 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)))
(+.f64 (/.f64 1 (.f64 x x)) (neg.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 0 (/.f64 4 x)))))
(+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x))) -1/2) (/.f64 2 x)))
(+.f64 (/.f64 0 (/.f64 4 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)))
(+.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (.f64 x x)))) (/.f64 8 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (.f64 x x)))) (/.f64 8 x)))
(+.f64 (neg.f64 (+.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 0 (/.f64 4 x)))) (/.f64 1 (.f64 x x)))
(+.f64 (/.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2) (/.f64 4 x)) (+.f64 (/.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 4 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 8 x))))
(+.f64 (/.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2) (/.f64 2 x)) (/.f64 1 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x))) (neg.f64 (/.f64 0 (/.f64 4 x))))
(+.f64 (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))) (/.f64 4 x))) (neg.f64 (/.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x)))) (/.f64 4 x))))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) 0)
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (/.f64 0 (/.f64 4 x)))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (/.f64 0 x))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (+.f64 (/.f64 0 (/.f64 4 x)) (/.f64 0 x)))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (neg.f64 (/.f64 0 (/.f64 4 x))))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (/.f64 (/.f64 0 x) 2))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (.f64 x x)))) (/.f64 4 x)) (/.f64 0 (.f64 x (-.f64 2 (/.f64 0 x)))))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (.f64 x x)))) (/.f64 4 x)) (/.f64 (/.f64 0 (.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (/.f64 0 (-.f64 2 (/.f64 0 x))))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (/.f64 (/.f64 0 x) (-.f64 2 (/.f64 0 x))))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (.f64 x x)))) (/.f64 4 x)) (/.f64 0 (.f64 (*.f64 x x) (/.f64 4 x))))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (+.f64 (/.f64 0 (/.f64 4 x)) (neg.f64 (/.f64 0 (/.f64 4 x)))))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (+.f64 (neg.f64 (/.f64 0 (/.f64 4 x))) 0))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (+.f64 (neg.f64 (/.f64 0 (/.f64 4 x))) (/.f64 0 (/.f64 4 x))))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (+.f64 (neg.f64 (/.f64 0 (/.f64 4 x))) (neg.f64 (/.f64 0 (/.f64 4 x)))))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (+.f64 (neg.f64 (/.f64 0 (/.f64 4 x))) (/.f64 0 x)))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (/.f64 0 (/.f64 x x)))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (/.f64 (/.f64 0 (/.f64 4 x)) (/.f64 x x)))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (/.f64 (neg.f64 (/.f64 0 (/.f64 4 x))) (/.f64 x x)))
(-.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 4 (.f64 x (*.f64 x x)))) (/.f64 4 x)) (/.f64 (/.f64 0 x) (/.f64 x x)))
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(-.f64 (/.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 (.f64 2 (.f64 x x)) (.f64 x x))) (/.f64 (neg.f64 (/.f64 2 (.f64 x (.f64 x x)))) (/.f64 (.f64 2 (.f64 x x)) (.f64 x x))))
(-.f64 (/.f64 (/.f64 (/.f64 6 x) (.f64 2 (.f64 x x))) (/.f64 (.f64 2 (.f64 x x)) (.f64 x x))) (/.f64 (neg.f64 (/.f64 (/.f64 1 (.f64 x x)) x)) (/.f64 (.f64 2 (.f64 x x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 6 x) (.f64 x (.f64 x 4))) (/.f64 (neg.f64 (/.f64 2 x)) (.f64 x (.f64 x 4))))
(-.f64 (/.f64 (/.f64 2 (.f64 x x)) (/.f64 (.f64 2 (.f64 x (.f64 x x))) (.f64 x x))) (/.f64 (neg.f64 (/.f64 2 (.f64 x x))) (/.f64 (.f64 2 (.f64 x (.f64 x x))) (.f64 x x))))
(.f64 2 (/.f64 (/.f64 1 (.f64 x x)) x))
(.f64 2 (/.f64 1 (.f64 x (*.f64 x x))))
(.f64 2 (/.f64 (/.f64 1 x) (.f64 x x)))
(.f64 (/.f64 2 x) (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 1 (neg.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 2 x) (/.f64 (/.f64 1 (fabs.f64 x)) (fabs.f64 x)))
(.f64 (/.f64 2 x) (/.f64 (/.f64 1 x) (/.f64 (.f64 x x) x)))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) 1)
(.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 1 (/.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) (/.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 1 (/.f64 2 (.f64 x (*.f64 x x))))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 1 x))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 (/.f64 2 x) 2))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 1 (/.f64 (.f64 x (.f64 x x)) (*.f64 x x))))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 (/.f64 1 x) (/.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 2 x))
(.f64 4 (/.f64 1 (.f64 2 (.f64 x (.f64 x x)))))
(.f64 4 (/.f64 (/.f64 1 x) (.f64 2 (*.f64 x x))))
(.f64 4 (/.f64 (/.f64 2 x) (.f64 x (*.f64 x 4))))
(.f64 (/.f64 4 x) (/.f64 1 (.f64 2 (*.f64 x x))))
(*.f64 (/.f64 4 x) (/.f64 (/.f64 1 x) (+.f64 x x)))
(.f64 (/.f64 4 x) (/.f64 (/.f64 2 x) (.f64 x 4)))
(.f64 (/.f64 4 x) (/.f64 (/.f64 1 x) (.f64 x (-.f64 2 (/.f64 0 x)))))
(.f64 8 (/.f64 1 (.f64 x (.f64 x (.f64 x 4)))))
(.f64 8 (/.f64 (/.f64 1 x) (.f64 x (*.f64 x 4))))
(.f64 (/.f64 1 x) (/.f64 2 (.f64 x x)))
(.f64 (/.f64 4 (.f64 x (*.f64 x x))) 1/2)
(.f64 (/.f64 4 (.f64 x (.f64 x x))) (/.f64 1 (/.f64 (.f64 2 (.f64 x x)) (.f64 x x))))
(.f64 (/.f64 8 x) (/.f64 1 (.f64 x (*.f64 x 4))))
(.f64 (/.f64 8 x) (/.f64 (/.f64 1 x) (.f64 x 4)))
(.f64 (/.f64 4 (.f64 x x)) (/.f64 1 (+.f64 x x)))
(.f64 (/.f64 4 (.f64 x x)) (/.f64 (/.f64 2 x) 4))
(.f64 (/.f64 4 (.f64 x x)) (/.f64 (/.f64 1 x) 2))
(.f64 (/.f64 4 (.f64 x x)) (/.f64 1 (/.f64 (.f64 2 (.f64 x (.f64 x x))) (.f64 x x))))
(.f64 (/.f64 4 (.f64 x x)) (/.f64 (/.f64 1 x) (-.f64 2 (/.f64 0 x))))
(.f64 (/.f64 (/.f64 2 x) 2) (/.f64 2 (.f64 x x)))
(*.f64 (/.f64 2 (neg.f64 x)) (/.f64 (/.f64 1 x) (neg.f64 x)))
(*.f64 (/.f64 2 (fabs.f64 x)) (/.f64 (/.f64 1 x) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 2 x) (neg.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 2 x) (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(.f64 1/2 (/.f64 4 (.f64 x (*.f64 x x))))
(.f64 (/.f64 1 (.f64 x (*.f64 x x))) 2)
(.f64 (/.f64 1 (.f64 2 (.f64 x (.f64 x x)))) 4)
(.f64 (/.f64 1 (.f64 2 (*.f64 x x))) (/.f64 4 x))
(.f64 (/.f64 1 (+.f64 x x)) (/.f64 4 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x (*.f64 x 4))) (/.f64 8 x))
(.f64 (/.f64 8 (.f64 x (*.f64 x x))) 1/4)
(.f64 (/.f64 8 (.f64 x (.f64 x x))) (/.f64 1 (/.f64 (.f64 x (.f64 x 4)) (.f64 x x))))
(.f64 (/.f64 16 x) (/.f64 1 (.f64 2 (.f64 x (.f64 x 4)))))
(.f64 (/.f64 8 (.f64 x x)) (/.f64 1 (*.f64 x 4)))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (/.f64 2 x) (neg.f64 x)))
(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (/.f64 2 x) (fabs.f64 x)))
(.f64 (/.f64 (/.f64 2 (.f64 x (.f64 x x))) (.f64 x x)) (/.f64 1 (/.f64 1 (*.f64 x x))))
(.f64 (/.f64 (/.f64 2 (.f64 x x)) (.f64 x x)) (/.f64 1 (/.f64 x (.f64 x x))))
(.f64 (/.f64 (/.f64 4 (.f64 x x)) (.f64 x x)) (/.f64 1 (.f64 2 (/.f64 x (*.f64 x x)))))
(.f64 (/.f64 (/.f64 4 (.f64 x (.f64 x x))) (.f64 x x)) (/.f64 1 (/.f64 2 (*.f64 x x))))
(pow.f64 (/.f64 2 (.f64 x (.f64 x x))) 1)
(+.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x)))) 0)
(+.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))) (/.f64 0 (.f64 x x)))
(+.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 0 (.f64 x x))))
(+.f64 0 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (/.f64 0 (*.f64 x x))))
(+.f64 (/.f64 0 (.f64 x x)) (.f64 2 (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))))
(-.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x)))) 0)
(-.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))) (/.f64 0 (.f64 x x)))
(-.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 0 (.f64 x x))))
(-.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))) (/.f64 0 (.f64 x (*.f64 x x))))
(-.f64 0 (-.f64 (/.f64 0 (.f64 x x)) (.f64 2 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))))))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x (.f64 x x))))
(-.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (/.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2) 2))
(-.f64 (/.f64 0 (.f64 x x)) (/.f64 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x))) -1/2))
(/.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x)))) 1)
(/.f64 (.f64 2 (cos.f64 x)) (.f64 x (*.f64 x x)))
(/.f64 (.f64 (cos.f64 x) (/.f64 4 (.f64 x (*.f64 x x)))) 2)
(/.f64 (.f64 2 (.f64 2 (cos.f64 x))) (.f64 2 (.f64 x (*.f64 x x))))
(/.f64 (.f64 8 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x)))) 4)
(/.f64 (.f64 (/.f64 2 x) (cos.f64 x)) (.f64 x x))
(/.f64 (+.f64 (.f64 (/.f64 2 x) (cos.f64 x)) 0) (.f64 x x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (cos.f64 x)))) (.f64 x (.f64 x (.f64 x 4))))
(/.f64 (.f64 2 (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) (.f64 2 (.f64 x (.f64 x x))))
(/.f64 (.f64 4 (.f64 2 (.f64 2 (cos.f64 x)))) (.f64 (.f64 2 (.f64 x (*.f64 x x))) 4))
(/.f64 (.f64 2 (.f64 (/.f64 2 x) (cos.f64 x))) (.f64 2 (.f64 x x)))
(/.f64 (.f64 2 (.f64 2 (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 x x))
(pow.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x)))) 1)

Outputs
(/.f64 1 x)
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x -1/12))
(+.f64 (.f64 -1/12 x) (+.f64 (/.f64 1 x) (.f64 1/360 (pow.f64 x 3))))
(+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) (.f64 1/360 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 1/360 (pow.f64 x 3)) (.f64 x -1/12)))
(+.f64 (.f64 -1/12 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5)))))
(+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) (+.f64 (.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5)))))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (-.f64 2 (*.f64 2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 -2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 -2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 -2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 -2 (cos.f64 x))) (pow.f64 x 3))
(/.f64 (+.f64 2 (*.f64 (cos.f64 x) -2)) (pow.f64 x 3))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (*.f64 -1/40320 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (/.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (/.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (/.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (/.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (/.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (/.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (-.f64 2 (.f64 2 (cos.f64 x))) (/.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 -2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (/.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 -2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (/.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 -2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (/.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 -2 (cos.f64 x))) (pow.f64 x 2)))
(.f64 (+.f64 2 (.f64 (cos.f64 x) -2)) (/.f64 1/2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (*.f64 1 (/.f64 2 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/12 x) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 x 1/12)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1 (/.f64 2 (pow.f64 x 3))) (.f64 x 1/12)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/360)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1 (/.f64 2 (pow.f64 x 3))) (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/360))) (/.f64 1 x))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(*.f64 2 (/.f64 (cos.f64 x) (pow.f64 x 3)))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 (/.f64 (cos.f64 x) -1/2) (.f64 x (.f64 x x))))
(/.f64 (+.f64 2 (/.f64 (cos.f64 x) -1/2)) (.f64 x (.f64 x x)))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (+.f64 (/.f64 0 x) (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2)))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 (/.f64 (cos.f64 x) -1/2) (.f64 x (.f64 x x))))
(/.f64 (+.f64 2 (/.f64 (cos.f64 x) -1/2)) (.f64 x (.f64 x x)))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (+.f64 (/.f64 0 (.f64 x x)) (/.f64 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x))) -1/2)))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 (/.f64 (cos.f64 x) -1/2) (.f64 x (.f64 x x))))
(/.f64 (+.f64 2 (/.f64 (cos.f64 x) -1/2)) (.f64 x (.f64 x x)))
(+.f64 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))) 0)
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x x)))
(+.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 0 (.f64 x x))))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x x)))
(+.f64 0 (.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x x)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2) (/.f64 2 (.f64 x (.f64 x x))))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 (/.f64 (cos.f64 x) -1/2) (.f64 x (.f64 x x))))
(/.f64 (+.f64 2 (/.f64 (cos.f64 x) -1/2)) (.f64 x (.f64 x x)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) -1/2) (neg.f64 (neg.f64 (/.f64 2 (.f64 x (.f64 x x))))))
(+.f64 (/.f64 2 (.f64 x (.f64 x x))) (/.f64 (/.f64 (cos.f64 x) -1/2) (.f64 x (.f64 x x))))
(/.f64 (+.f64 2 (/.f64 (cos.f64 x) -1/2)) (.f64 x (.f64 x x)))
(+.f64 (/.f64 0 (.f64 x x)) (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x x)))
(+.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (-.f64 0 (.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (-.f64 (.f64 2 (cos.f64 x)) 1))))
(+.f64 (/.f64 1 (.f64 x (.f64 x x))) (neg.f64 (.f64 (/.f64 1 (.f64 x (.f64 x x))) (+.f64 (.f64 2 (cos.f64 x)) -1))))
(-.f64 (/.f64 1 (.f64 x (.f64 x x))) (.f64 (/.f64 1 x) (/.f64 (+.f64 (.f64 2 (cos.f64 x)) -1) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (+.f64 (/.f64 0 (.f64 x x)) (-.f64 0 (.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (-.f64 (*.f64 2 (cos.f64 x)) 1)))))
(+.f64 (/.f64 1 (.f64 x (.f64 x x))) (neg.f64 (.f64 (/.f64 1 (.f64 x (.f64 x x))) (+.f64 (.f64 2 (cos.f64 x)) -1))))
(-.f64 (/.f64 1 (.f64 x (.f64 x x))) (.f64 (/.f64 1 x) (/.f64 (+.f64 (.f64 2 (cos.f64 x)) -1) (*.f64 x x))))
(+.f64 (/.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) 2) (/.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) 2))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x x)))
(+.f64 (/.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) 2) (+.f64 (/.f64 (.f64 (/.f64 2 (.f64 x (.f64 x x))) (-.f64 1 (cos.f64 x))) 2) 0))
(.f64 (/.f64 2 (.f64 x (*.f64 x x))) (-.f64 1 (cos.f64 x)))
(.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (.f64 x x)))
(+.f64 (-.f64 0 (.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (-.f64 (.f64 2 (cos.f64 x)) 1))) (/.f64 (/.f64 1 (.f64 x x)) x))
(+.f64 (/.f64 1 (.f64 x (.f64 x x))) (neg.f64 (.f64 (/.f64 1 (.f64 x (.f64 x x))) (+.f64 (.f64 2 (cos.f64 x)) -1))))
(-.f64 (/.f64 1 (.f64 x (.f64 x x))) (.f64 (/.f64 1 x) (/.f64 (+.f64 (.f64 2 (cos.f64 x)) -1) (*.f64 x x))))
(+.f64 (-.f64 0 (.f64 (/.f64 (/.f64 1 (.f64 x x)) x) (-.f64 (.f64 2 (cos.f64 x)) 1))) (neg.f64 (neg.f64 (/.f64 (/.f64 1 (.f64 x x)) x))))
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(/.f64 (.f64 2 (cos.f64 x)) (.f64 x (*.f64 x x)))
(/.f64 (.f64 2 (.f64 (/.f64 2 x) (cos.f64 x))) (.f64 2 (.f64 x x)))
(.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x))))
(.f64 (cos.f64 x) (/.f64 (/.f64 2 (.f64 x x)) x))
(/.f64 (.f64 2 (.f64 2 (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 x x))
(/.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 4) (+.f64 x x))
(/.f64 (.f64 4 (/.f64 (cos.f64 x) (.f64 x x))) (+.f64 x x))
(pow.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x)))) 1)
(.f64 2 (/.f64 (cos.f64 x) (.f64 x (*.f64 x x))))
(.f64 (cos.f64 x) (/.f64 (/.f64 2 (.f64 x x)) x))

eval1.9s (3.4%)

Compiler: Compiled 30271 to 16808 computations (44.5% saved)

prune1.7s (3%)

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1466	15	1481
Fresh	3	7	10
Picked	0	1	1
Done	5	3	8
Total	1474	26	1500

Error

0.0b

Counts

1500 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.2b	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) x) (.f64 x x))
	46.9b	(/.f64 (/.f64 (-.f64 x x) x) (*.f64 x x))
	32.4b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
✓	37.6b	(/.f64 (-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x)))) (/.f64 2 x))
	32.4b	(/.f64 (-.f64 (/.f64 1 (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
	33.2b	(/.f64 (-.f64 (-.f64 1 (cos.f64 x)) (-.f64 (.f64 2 (cos.f64 x)) (-.f64 3 (cos.f64 x)))) (.f64 x (*.f64 x 4)))
✓	33.2b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	30.0b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) (+.f64 (.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5))))) (/.f64 2 x))
▶	49.0b	(/.f64 (.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 x (cos.f64 x)))) (/.f64 (/.f64 1 x) (neg.f64 x))) (.f64 x x))
	37.7b	(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
	30.1b	(/.f64 (.f64 x (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)
	33.2b	(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (.f64 x x))) (-.f64 (/.f64 (.f64 (cos.f64 x) 1) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (.f64 x x))) (/.f64 1/2 (*.f64 x x)))))
▶	30.0b	(-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1 x)) -1/2)
	30.1b	(-.f64 (/.f64 (.f64 x -1/24) (/.f64 -1 x)) (-.f64 1/2 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
▶	32.9b	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	32.9b	(-.f64 (/.f64 1/2 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 x (+.f64 x x))))
	30.0b	(-.f64 1 (/.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/24)) (/.f64 1 x)))
✓	32.9b	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
	33.2b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
▶	44.5b	(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 x x)) 2))
	44.6b	(.f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) (*.f64 x x)))
	29.3b	(.f64 (/.f64 1/2 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 1 x))))
▶	29.2b	(*.f64 (/.f64 1/2 x) x)
	37.7b	(.f64 (.f64 (/.f64 1 (.f64 x (.f64 x x))) x) (-.f64 1 (cos.f64 x)))
	37.7b	(.f64 1 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (.f64 x x))))
	29.2b	1/2

Compiler

Compiled 712 to 465 computations (34.7% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 1/2 x) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite279.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`rational_best-simplify-71`
792×	`rational_best-simplify-54`
696×	`rational_best-simplify-55`
644×	`rational_best-simplify-67`
622×	`rational_best-simplify-65`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	42	13
2	93	13
3	269	13
4	1126	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 1/2 x) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

localize56.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1 x)) -1/2)
✓	0.2b	(/.f64 (*.f64 x -1/24) (/.f64 1 x))
	0.3b	(*.f64 x -1/24)

Compiler

Compiled 27 to 20 computations (25.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite327.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`rational_best-simplify-64`
886×	`rational_best-simplify-51`
836×	`rational_best-simplify-69`
792×	`rational_best-4`
792×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	69	44
2	149	44
3	427	44
4	2028	44

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x -1/6) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) (/.f64 (*.f64 x -1/24) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (/.f64 (neg.f64 (*.f64 x -1/12)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) 2) (/.f64 (/.f64 (*.f64 x -1/8) (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) 2) (+.f64 (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) 2) (/.f64 (*.f64 x -1/24) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 x -1/8) (/.f64 2 x)) 2) (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 x -1/8) (/.f64 2 x)) 2) (+.f64 (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/24) (/.f64 4 x)) (/.f64 (*.f64 x -1/8) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/24) (/.f64 4 x)) (+.f64 (/.f64 (*.f64 x -1/24) (/.f64 4 x)) (/.f64 (*.f64 x -1/24) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/8) (/.f64 4 x)) (/.f64 (*.f64 x -1/24) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/8) (/.f64 4 x)) (+.f64 (/.f64 (*.f64 x -1/24) (/.f64 4 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -1/12) (/.f64 8 x)) (+.f64 (/.f64 (*.f64 x -1/12) (/.f64 8 x)) (/.f64 (*.f64 x -1/24) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) -1) (neg.f64 (+.f64 1 (/.f64 (*.f64 x -1/24) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) (+.f64 -1 (/.f64 (*.f64 x -1/24) (/.f64 -2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (/.f64 (*.f64 x -1/24) (/.f64 2 x))) (/.f64 (*.f64 x -1/24) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) 2)) (neg.f64 (/.f64 (/.f64 (*.f64 x -1/8) (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (/.f64 (*.f64 x -1/24) (/.f64 4 x))) (neg.f64 (/.f64 (*.f64 x -1/8) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) (-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (/.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 (*.f64 x -1/12)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) (/.f64 (*.f64 x -1/24) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x)) (/.f64 (*.f64 x -1/6) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 (*.f64 x -1/12)) (/.f64 2 x)) (neg.f64 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -1/24) (/.f64 -2 x)) (-.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) (/.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 x -1/8) (/.f64 2 x)) 2) (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 x -1/8) (/.f64 2 x)) 2) (+.f64 (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 -2 x)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -1/8) (/.f64 4 x)) (/.f64 (neg.f64 (*.f64 x -1/24)) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -1/8) (/.f64 4 x)) (+.f64 (/.f64 (neg.f64 (*.f64 x -1/24)) (/.f64 4 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 -2 x)) 2) (-.f64 (/.f64 (/.f64 (*.f64 x -1/8) (/.f64 2 x)) 2) (/.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 (*.f64 x -1/24)) (/.f64 4 x)) (-.f64 (/.f64 (*.f64 x -1/8) (/.f64 4 x)) (/.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/24) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x -1/6) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 x -1/24) (/.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x -1/24) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/12) (/.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/12) (-.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/6) (/.f64 1 (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/6) (-.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (/.f64 (*.f64 x -1/12) (/.f64 1/2 x)) (/.f64 (*.f64 x -1/24) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (*.f64 x -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (-.f64 (*.f64 x -1/12) (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 x)) (*.f64 x -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 x)) (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 x)) (-.f64 (*.f64 x -1/6) (*.f64 x -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 4 x)) (*.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 4 x)) (-.f64 (*.f64 2 (*.f64 x -1/6)) (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/12) (/.f64 1/2 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x -1/6)) (/.f64 1 (/.f64 8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x -1/6)) (-.f64 (/.f64 1 (/.f64 4 x)) (/.f64 1 (/.f64 8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/24) (/.f64 (/.f64 1 x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/12) (/.f64 (/.f64 1 x) x)) (/.f64 1 (/.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (*.f64 x -1/24) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 x -1/12) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 8 x)) (*.f64 2 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (/.f64 1 x))) (/.f64 (*.f64 x -1/12) (/.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/24) x) (/.f64 (*.f64 x (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/12) x) (/.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) x) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x -1/24) (/.f64 1/2 x)) x) (/.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/6) x) (/.f64 (/.f64 1 (/.f64 4 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x x)) x) (/.f64 (*.f64 x -1/24) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 x)) (/.f64 (*.f64 x -1/12) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 4 x)) (/.f64 1 x)) (/.f64 (*.f64 x -1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 x -1/12)) (/.f64 2 x)))))))

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simplify320.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1174×	`rational_best-simplify-55`
1042×	`rational_best-simplify-108`
894×	`rational_best-simplify-67`
674×	`rational_best-simplify-47`
626×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	3156
1	630	3088
2	2309	3018

Stop Event

1×	node limit

Counts

132 → 146

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
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(.f64 (.f64 x -1/6) (/.f64 1 (/.f64 4 x)))
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(.f64 (/.f64 1 (/.f64 1 x)) (-.f64 (.f64 x -1/12) (*.f64 x -1/24)))
(.f64 (/.f64 1 (/.f64 2 x)) (.f64 x -1/12))
(.f64 (/.f64 1 (/.f64 2 x)) (/.f64 (/.f64 (.f64 x -1/24) (/.f64 1/2 x)) x))
(.f64 (/.f64 1 (/.f64 2 x)) (-.f64 (.f64 x -1/6) (*.f64 x -1/12)))
(.f64 (/.f64 1 (/.f64 4 x)) (.f64 x -1/6))
(.f64 (/.f64 1 (/.f64 4 x)) (-.f64 (.f64 2 (.f64 x -1/6)) (.f64 x -1/6)))
(.f64 (/.f64 (.f64 x -1/12) (/.f64 1/2 x)) 1/4)
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(.f64 (/.f64 1 (/.f64 8 x)) (.f64 2 (*.f64 x -1/6)))
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(.f64 (/.f64 (.f64 x -1/24) x) (/.f64 (.f64 x (.f64 x x)) x))
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(.f64 (/.f64 (.f64 x (.f64 x x)) x) (/.f64 (.f64 x -1/24) x))
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(.f64 (/.f64 (/.f64 1 (/.f64 4 x)) (/.f64 1 x)) (/.f64 (.f64 x -1/6) x))
(pow.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1)
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(+.f64 (-.f64 (/.f64 (.f64 x -1/24) (/.f64 1/2 x)) -1/2) (/.f64 (neg.f64 (.f64 x -1/12)) (/.f64 2 x)))
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(+.f64 (-.f64 (-.f64 1/2 (/.f64 (.f64 x -1/24) (/.f64 -2 x))) (+.f64 -1 (/.f64 (.f64 x -1/24) (/.f64 -2 x)))) -1)
(.f64 1 (+.f64 (/.f64 (.f64 x -1/6) (/.f64 4 x)) 1/2))
(.f64 (+.f64 (/.f64 (.f64 x -1/6) (/.f64 4 x)) 1/2) 1)
(.f64 (.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 2))
(.f64 (.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 4))
(/.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 1)
(/.f64 (.f64 (+.f64 (/.f64 (.f64 x -1/6) (/.f64 4 x)) 1/2) 2) 2)
(/.f64 (.f64 (+.f64 (/.f64 (.f64 x -1/6) (/.f64 4 x)) 1/2) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 4)) 8)
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) (/.f64 1 x)) (/.f64 1 (/.f64 1 x)))
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) (/.f64 2 x)) (/.f64 1 (/.f64 2 x)))
(/.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 x -1/6) (/.f64 4 x)) 1/2) 2) (/.f64 1 x)) (/.f64 2 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 x -1/24) (/.f64 2 x)) -1/4) (/.f64 1/2 x)) (/.f64 1 (/.f64 1 x)))
(/.f64 (/.f64 (+.f64 (/.f64 (.f64 x -1/6) (/.f64 4 x)) 1/2) (/.f64 1 (.f64 x 4))) (/.f64 2 (/.f64 1/2 x)))
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) (/.f64 1/2 x)) (/.f64 2 (/.f64 1 x)))
(/.f64 (.f64 (/.f64 1 x) (+.f64 (/.f64 (.f64 x -1/6) (/.f64 4 x)) 1/2)) (/.f64 1 x))
(/.f64 (.f64 (/.f64 2 x) (+.f64 (/.f64 (.f64 x -1/6) (/.f64 4 x)) 1/2)) (/.f64 2 x))
(/.f64 (.f64 (/.f64 1 x) (.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 2)) (/.f64 2 x))
(/.f64 (.f64 (/.f64 2 x) (.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 2)) (/.f64 4 x))
(/.f64 (.f64 (/.f64 1 x) (.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 4)) (/.f64 4 x))
(/.f64 (.f64 (/.f64 2 x) (.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 4)) (/.f64 8 x))
(pow.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 1)
(neg.f64 (-.f64 -1/2 (/.f64 (*.f64 x -1/6) (/.f64 4 x))))

Outputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 0)
(/.f64 (*.f64 x -1/6) (/.f64 4 x))
(/.f64 (*.f64 -1/24 x) (/.f64 1 x))
(.f64 -1/24 (.f64 x (/.f64 x 1)))
(+.f64 0 (/.f64 (*.f64 x -1/6) (/.f64 4 x)))
(/.f64 (*.f64 x -1/6) (/.f64 4 x))
(/.f64 (*.f64 -1/24 x) (/.f64 1 x))
(.f64 -1/24 (.f64 x (/.f64 x 1)))
(+.f64 (/.f64 (.f64 x -1/24) (/.f64 2 x)) (/.f64 (.f64 x -1/24) (/.f64 2 x)))
(/.f64 (*.f64 x -1/6) (/.f64 4 x))
(/.f64 (*.f64 -1/24 x) (/.f64 1 x))
(.f64 -1/24 (.f64 x (/.f64 x 1)))
(+.f64 (/.f64 (.f64 x -1/24) (/.f64 1/2 x)) (/.f64 (neg.f64 (.f64 x -1/12)) (/.f64 2 x)))
(/.f64 (*.f64 x -1/6) (/.f64 4 x))
(/.f64 (*.f64 -1/24 x) (/.f64 1 x))
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(/.f64 (*.f64 x -1/6) (/.f64 4 x))
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(/.f64 (*.f64 x -1/6) (/.f64 4 x))
(/.f64 (*.f64 -1/24 x) (/.f64 1 x))
(.f64 -1/24 (.f64 x (/.f64 x 1)))
(+.f64 (/.f64 (/.f64 (.f64 x -1/8) (/.f64 2 x)) 2) (/.f64 (/.f64 (.f64 x -1/24) (/.f64 2 x)) 2))
(/.f64 (*.f64 x -1/6) (/.f64 4 x))
(/.f64 (*.f64 -1/24 x) (/.f64 1 x))
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(/.f64 (*.f64 x -1/6) (/.f64 4 x))
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(-.f64 (/.f64 (.f64 x -1/3) (/.f64 16 x)) (/.f64 (.f64 -1/24 x) (/.f64 -2 x)))
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(-.f64 (/.f64 (.f64 x -1/24) (/.f64 -2 x)) (-.f64 (/.f64 (.f64 x -1/24) (/.f64 2 x)) (/.f64 (*.f64 x -1/24) (/.f64 1/2 x))))
(-.f64 (/.f64 (.f64 -1/24 x) (/.f64 1/2 x)) (-.f64 (/.f64 (.f64 -1/24 x) (/.f64 2 x)) (/.f64 (*.f64 -1/24 x) (/.f64 -2 x))))
(-.f64 (/.f64 (.f64 x -1/12) (/.f64 1 x)) (-.f64 (/.f64 (.f64 x -1/3) (/.f64 16 x)) (/.f64 (*.f64 -1/24 x) (/.f64 -2 x))))
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(-.f64 (/.f64 (/.f64 (.f64 x -1/8) (/.f64 2 x)) 2) (/.f64 (/.f64 (.f64 x -1/24) (/.f64 -2 x)) 2))
(/.f64 (-.f64 (/.f64 (.f64 x -1/8) (/.f64 2 x)) (/.f64 (.f64 -1/24 x) (/.f64 -2 x))) 2)
(-.f64 (/.f64 (.f64 x -1/8) (/.f64 4 x)) (/.f64 (.f64 -1/24 x) (/.f64 -4 x)))
(-.f64 (/.f64 (/.f64 (.f64 x -1/8) (/.f64 2 x)) 2) (+.f64 (/.f64 (/.f64 (.f64 x -1/24) (/.f64 -2 x)) 2) 0))
(/.f64 (-.f64 (/.f64 (.f64 x -1/8) (/.f64 2 x)) (/.f64 (.f64 -1/24 x) (/.f64 -2 x))) 2)
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(+.f64 1/2 (/.f64 (*.f64 -1/24 x) (/.f64 1 x)))
(+.f64 1/2 (.f64 -1/24 (.f64 x (/.f64 x 1))))
(pow.f64 (+.f64 (/.f64 (*.f64 x -1/6) (/.f64 4 x)) 1/2) 1)
(+.f64 1/2 (/.f64 (*.f64 x -1/6) (/.f64 4 x)))
(+.f64 1/2 (/.f64 (*.f64 -1/24 x) (/.f64 1 x)))
(+.f64 1/2 (.f64 -1/24 (.f64 x (/.f64 x 1))))
(neg.f64 (-.f64 -1/2 (/.f64 (*.f64 x -1/6) (/.f64 4 x))))
(+.f64 1/2 (/.f64 (*.f64 x -1/6) (/.f64 4 x)))
(+.f64 1/2 (/.f64 (*.f64 -1/24 x) (/.f64 1 x)))
(+.f64 1/2 (.f64 -1/24 (.f64 x (/.f64 x 1))))

localize69.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 x x)) 2))
✓	29.2b	(/.f64 (*.f64 x x) (+.f64 x x))

Compiler

Compiled 42 to 15 computations (64.3% saved)

series10.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 x x)) 2))
0.0ms	x	@	inf	(/.f64 (*.f64 x x) (+.f64 x x))
0.0ms	x	@	-inf	(/.f64 (*.f64 x x) (+.f64 x x))
0.0ms	x	@	0	(/.f64 (*.f64 x x) (+.f64 x x))
0.0ms	x	@	-inf	(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 x x)) 2))

rewrite679.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`rational_best-2`
1508×	`rational_best-3`
1508×	`rational_best-1`
1506×	`rational_best-4`
1502×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	79	56
2	195	44
3	766	32
4	4592	32

Stop Event

1×	node limit

Counts

2 → 323

Calls

Call 1

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

Outputs

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

simplify530.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational_best-simplify-108`
1330×	`rational_best-simplify-1`
922×	`rational_best-simplify-49`
910×	`rational_best-simplify-53`
774×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	553	1897
1	1729	1743
2	7608	1739

Stop Event

1×	node limit

Counts

347 → 338

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(+.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) 0)
(+.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 0 x))
(+.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (neg.f64 (/.f64 0 x)))
(+.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 0 x) x))
(+.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 0 x) (/.f64 x x)))
(+.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 0 (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 0 x) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 0 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 0 x) (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 (/.f64 0 x) x) (/.f64 1/2 x)))
(+.f64 0 (+.f64 (/.f64 x 2) (/.f64 0 x)))
(+.f64 (/.f64 0 x) (+.f64 (/.f64 x 2) (/.f64 0 x)))
(+.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4) (/.f64 (+.f64 x (/.f64 0 x)) 4))
(+.f64 (/.f64 x 2) (/.f64 0 x))
(+.f64 (/.f64 (/.f64 0 x) x) (+.f64 (/.f64 x 2) (/.f64 0 x)))
(+.f64 (/.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4) 2) (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) 2))
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(+.f64 (/.f64 (/.f64 0 x) (/.f64 1 x)) (+.f64 (/.f64 x 2) (/.f64 0 x)))
(+.f64 (/.f64 (/.f64 (/.f64 0 x) x) (/.f64 1 x)) (+.f64 (/.f64 x 2) (/.f64 0 x)))
(+.f64 (/.f64 0 (/.f64 1/2 x)) (+.f64 (/.f64 x 2) (/.f64 0 x)))
(+.f64 (/.f64 (/.f64 0 x) (/.f64 1/2 x)) (+.f64 (/.f64 x 2) (/.f64 0 x)))
(+.f64 (/.f64 (/.f64 (/.f64 0 x) x) (/.f64 1/2 x)) (+.f64 (/.f64 x 2) (/.f64 0 x)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) 0)
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 0 x))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (neg.f64 (/.f64 0 x)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 0 x) x))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (+.f64 (/.f64 0 x) (neg.f64 (/.f64 0 x))))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (+.f64 (neg.f64 (/.f64 0 x)) 0))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (+.f64 (neg.f64 (/.f64 0 x)) (/.f64 0 x)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (+.f64 (neg.f64 (/.f64 0 x)) (neg.f64 (/.f64 0 x))))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 0 x) (/.f64 x x)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 0 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 0 x) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 (/.f64 0 x) x) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 0 (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 0 x) (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (/.f64 (/.f64 0 x) x) (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 (neg.f64 (/.f64 0 x)) (/.f64 x x)))
(-.f64 (+.f64 x (/.f64 0 x)) (+.f64 (/.f64 x 2) (/.f64 0 x)))
(-.f64 0 (-.f64 (/.f64 0 x) (+.f64 (/.f64 x 2) (/.f64 0 x))))
(-.f64 (/.f64 0 x) (neg.f64 (+.f64 (/.f64 x 2) (/.f64 0 x))))
(-.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4) (neg.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4)))
(-.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4) (/.f64 (neg.f64 (+.f64 (/.f64 x 2) (/.f64 0 x))) 2))
(-.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4) (/.f64 (neg.f64 (+.f64 (/.f64 x 2) (/.f64 0 x))) (+.f64 2 (/.f64 0 x))))
(-.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4) (/.f64 (neg.f64 (+.f64 x (/.f64 0 x))) 4))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) 2) (/.f64 (neg.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4)) 2))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) (+.f64 2 (/.f64 0 x))) (/.f64 (neg.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4)) (+.f64 2 (/.f64 0 x))))
(-.f64 (/.f64 (.f64 x (.f64 x 3)) (.f64 (+.f64 x x) 4)) (/.f64 (neg.f64 (.f64 x x)) (*.f64 (+.f64 x x) 4)))
(*.f64 x (+.f64 1/2 (/.f64 0 x)))
(.f64 (.f64 x x) (/.f64 1/2 x))
(.f64 (+.f64 x x) (/.f64 x (.f64 x 4)))
(.f64 (+.f64 x x) (.f64 x (/.f64 1/4 x)))
(*.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) 1)
(*.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 x x))
(*.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (/.f64 1 (/.f64 x x)))
(*.f64 1/2 (+.f64 x (/.f64 0 x)))
(.f64 (/.f64 1/2 x) (.f64 x x))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 x x) (+.f64 (/.f64 x 2) (/.f64 0 x))))
(*.f64 2 (/.f64 (+.f64 x (/.f64 0 x)) 4))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) 2)))
(*.f64 (+.f64 x (/.f64 0 x)) 1/2)
(*.f64 (+.f64 x (/.f64 0 x)) (+.f64 1/2 (/.f64 0 x)))
(*.f64 (+.f64 x (/.f64 0 x)) (/.f64 1 (+.f64 2 (/.f64 0 x))))
(*.f64 (+.f64 1/2 (/.f64 0 x)) x)
(*.f64 (+.f64 1/2 (/.f64 0 x)) (+.f64 x (/.f64 0 x)))
(*.f64 1 (+.f64 (/.f64 x 2) (/.f64 0 x)))
(.f64 (/.f64 x (.f64 x 4)) (+.f64 x x))
(.f64 (/.f64 x (.f64 x 4)) (/.f64 1 (/.f64 1/2 x)))
(.f64 (/.f64 x (.f64 x 4)) (/.f64 x 1/2))
(.f64 (/.f64 x (.f64 x 4)) (/.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 1/4 x)))
(.f64 (.f64 x (+.f64 x x)) (/.f64 x (.f64 (.f64 x x) 4)))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1/4 x))
(.f64 (.f64 x 4) (/.f64 (+.f64 1/2 (/.f64 0 x)) 4))
(.f64 (.f64 x 4) (/.f64 x (*.f64 (+.f64 x x) 4)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/4 x) (/.f64 x 2)))
(.f64 (/.f64 1 x) (/.f64 (.f64 x x) 2))
(.f64 (/.f64 1 x) (.f64 (*.f64 x x) 1/2))
(.f64 (.f64 x -2) (/.f64 (neg.f64 x) (*.f64 x 4)))
(.f64 (.f64 x -2) (*.f64 (neg.f64 x) (/.f64 1/4 x)))
(*.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4) 2)
(.f64 (neg.f64 x) (/.f64 x (.f64 x -2)))
(.f64 (neg.f64 x) (.f64 (/.f64 1/2 x) (neg.f64 x)))
(.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) (.f64 x 4)) (/.f64 (neg.f64 x) (*.f64 x 4))))
(.f64 (fabs.f64 x) (.f64 (/.f64 1/2 x) (fabs.f64 x)))
(.f64 (fabs.f64 x) (+.f64 (/.f64 (fabs.f64 x) (.f64 x 4)) (/.f64 (fabs.f64 x) (*.f64 x 4))))
(.f64 (.f64 (*.f64 x x) 4) (/.f64 (/.f64 1/4 x) 2))
(.f64 (.f64 (*.f64 x x) 4) (/.f64 (/.f64 1/2 x) 4))
(.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 x (.f64 x 4)) (+.f64 x x)))
(.f64 (.f64 (.f64 x x) 4) (.f64 1/2 (/.f64 1/4 x)))
(.f64 (/.f64 1 (/.f64 1/2 x)) (/.f64 x (.f64 x 4)))
(*.f64 (/.f64 1 (/.f64 1/2 x)) 1/4)
(.f64 (/.f64 1 (/.f64 1/2 x)) (/.f64 1 (/.f64 (.f64 x 4) x)))
(.f64 -1 (.f64 x (/.f64 x (*.f64 x -2))))
(*.f64 (/.f64 x x) (+.f64 (/.f64 x 2) (/.f64 0 x)))
(*.f64 (/.f64 x x) (/.f64 x 2))
(.f64 (/.f64 x (.f64 (.f64 x x) 4)) (.f64 x (+.f64 x x)))
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(/.f64 (.f64 x x) (.f64 x (+.f64 x x)))
(/.f64 (+.f64 x x) (*.f64 x 4))
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(/.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 x x) -2))
(/.f64 (.f64 x -2) (neg.f64 (.f64 x 4)))
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(/.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4) (/.f64 x 2))
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(/.f64 (/.f64 x x) 2)
(/.f64 (/.f64 x x) (+.f64 2 (/.f64 0 x)))
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(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (*.f64 x (+.f64 x x))))
(/.f64 (/.f64 x 2) x)
(/.f64 (.f64 (.f64 x x) -2) (-.f64 (.f64 (.f64 x x) -2) (*.f64 x (+.f64 x x))))
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(/.f64 (/.f64 (.f64 x (.f64 (+.f64 x x) 4)) (.f64 (.f64 x x) 4)) 4)
(/.f64 (/.f64 (.f64 (.f64 x 4) (.f64 x 4)) (.f64 x (*.f64 (+.f64 x x) 4))) 4)
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(/.f64 (/.f64 (.f64 x (+.f64 x x)) (.f64 x -2)) (*.f64 x -2))
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(/.f64 (*.f64 (/.f64 2 x) (/.f64 4 (/.f64 1 x))) 16)
(/.f64 (/.f64 (/.f64 4 (/.f64 1 x)) x) (/.f64 (*.f64 (+.f64 x x) 4) x))
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(/.f64 (/.f64 (+.f64 2 (/.f64 0 x)) (*.f64 x 4)) (/.f64 1 x))
(pow.f64 (+.f64 1/2 (/.f64 0 x)) 1)
(fabs.f64 (+.f64 1/2 (/.f64 0 x)))
(fabs.f64 (/.f64 (.f64 x x) (.f64 (*.f64 x x) -2)))
(fabs.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 x (+.f64 x x))))
(fabs.f64 (/.f64 (.f64 (.f64 x x) -2) (.f64 (.f64 x x) 4)))
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 x (.f64 x (+.f64 x x)))))
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (neg.f64 x) (.f64 x (+.f64 x x)))))
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 x (.f64 (*.f64 x x) -2))))
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (neg.f64 x) (.f64 (*.f64 x x) -2))))
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) -2))))

Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
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(.f64 (/.f64 (/.f64 x (.f64 x -2)) 1/2) (/.f64 (/.f64 x (*.f64 x -2)) (/.f64 1 x)))
(*.f64 1/2 x)
(.f64 (/.f64 (/.f64 x (.f64 x -2)) (/.f64 1 x)) (/.f64 (/.f64 x (*.f64 x -2)) 1/2))
(*.f64 1/2 x)
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (fabs.f64 x)) 1/2) (/.f64 (*.f64 (/.f64 1/2 x) (fabs.f64 x)) (/.f64 1 x)))
(*.f64 1/2 x)
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (fabs.f64 x)) (/.f64 1 x)) (/.f64 (*.f64 (/.f64 1/2 x) (fabs.f64 x)) 1/2))
(*.f64 1/2 x)
(.f64 (/.f64 (/.f64 x (.f64 x -2)) (/.f64 1/2 x)) (/.f64 x (*.f64 x -2)))
(*.f64 1/2 x)
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (fabs.f64 x)) (/.f64 1/2 x)) (*.f64 (/.f64 1/2 x) (fabs.f64 x)))
(*.f64 1/2 x)
(.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 1/4 x)) (/.f64 x (.f64 x 4)))
(*.f64 1/2 x)
(.f64 (/.f64 (/.f64 x (.f64 x -2)) (/.f64 1/4 x)) (/.f64 (neg.f64 x) (*.f64 x 4)))
(*.f64 1/2 x)
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (fabs.f64 x)) (/.f64 1/4 x)) (/.f64 (fabs.f64 x) (*.f64 x 4)))
(*.f64 1/2 x)
(pow.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) 1)
(*.f64 1/2 x)
(+.f64 1/2 (/.f64 0 x))
1/2
(+.f64 1/2 (/.f64 (/.f64 0 x) x))
1/2
(+.f64 1/2 (/.f64 0 (*.f64 x x)))
1/2
(+.f64 (+.f64 1/2 (/.f64 0 x)) 0)
1/2
(+.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 0 x))
1/2
(+.f64 (+.f64 1/2 (/.f64 0 x)) (neg.f64 (/.f64 0 x)))
1/2
(+.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 (/.f64 0 x) x))
1/2
(+.f64 (+.f64 1/2 (/.f64 0 x)) (+.f64 (/.f64 (/.f64 0 x) x) (/.f64 0 x)))
1/2
(+.f64 (+.f64 1/2 (/.f64 0 x)) (+.f64 (/.f64 (/.f64 0 x) x) (/.f64 (/.f64 0 x) x)))
1/2
(+.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 0 (*.f64 x -2)))
1/2
(+.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 0 (neg.f64 x)))
1/2
(+.f64 0 (+.f64 1/2 (/.f64 0 x)))
1/2
(+.f64 (/.f64 x (.f64 x 4)) (/.f64 x (.f64 x 4)))
1/2
(+.f64 (/.f64 0 x) (+.f64 1/2 (/.f64 0 x)))
1/2
(+.f64 (/.f64 (/.f64 0 x) x) (+.f64 1/2 (/.f64 0 x)))
1/2
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 x (*.f64 x 4))))
1/2
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) (+.f64 x x)))
(+.f64 (+.f64 1/8 (/.f64 (/.f64 0 x) 4)) (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) (+.f64 x x)))
(+.f64 (/.f64 (/.f64 (*.f64 x 3) x) 8) 1/8)
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (.f64 x (.f64 x 3)) (.f64 x (.f64 (+.f64 x x) 4))))
(+.f64 (+.f64 1/8 (/.f64 (/.f64 0 x) 4)) (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) (+.f64 x x)))
(+.f64 (/.f64 (/.f64 (*.f64 x 3) x) 8) 1/8)
(+.f64 (/.f64 0 (*.f64 x -2)) (+.f64 1/2 (/.f64 0 x)))
1/2
(+.f64 (/.f64 x (.f64 (+.f64 x x) 4)) (/.f64 (.f64 x 3) (*.f64 (+.f64 x x) 4)))
1/2
(+.f64 (/.f64 (/.f64 x 2) (.f64 x 4)) (/.f64 (+.f64 x (/.f64 x 2)) (.f64 x 4)))
1/2
(+.f64 (/.f64 (.f64 x 3) (.f64 (+.f64 x x) 4)) (/.f64 x (*.f64 (+.f64 x x) 4)))
1/2
(+.f64 (/.f64 (fabs.f64 x) (fabs.f64 (+.f64 x x))) (/.f64 0 (fabs.f64 x)))
1/2
(-.f64 (+.f64 1/2 (/.f64 0 x)) 0)
1/2
(-.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 0 x))
1/2
(-.f64 (+.f64 1/2 (/.f64 0 x)) (neg.f64 (/.f64 0 x)))
1/2
(-.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 (/.f64 0 x) x))
1/2
(-.f64 (+.f64 1/2 (/.f64 0 x)) (+.f64 (/.f64 (/.f64 0 x) x) (/.f64 0 x)))
1/2
(-.f64 (+.f64 1/2 (/.f64 0 x)) (+.f64 (/.f64 (/.f64 0 x) x) (/.f64 (/.f64 0 x) x)))
1/2
(-.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 0 (*.f64 x -2)))
1/2
(-.f64 (+.f64 1/2 (/.f64 0 x)) (neg.f64 (/.f64 (/.f64 0 x) x)))
1/2
(-.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 (neg.f64 (/.f64 0 x)) x))
1/2
(-.f64 0 (/.f64 x (*.f64 x -2)))
1/2
(-.f64 (/.f64 x (.f64 x 4)) (/.f64 (neg.f64 x) (.f64 x 4)))
1/2
(-.f64 (/.f64 x (.f64 x 4)) (neg.f64 (/.f64 x (.f64 x 4))))
1/2
(-.f64 (/.f64 x (.f64 x 4)) (/.f64 (/.f64 (.f64 x x) -2) (*.f64 x (+.f64 x x))))
1/2
(-.f64 (/.f64 x (*.f64 x 4)) (/.f64 (neg.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4)) x))
1/2
(-.f64 (/.f64 x (*.f64 x 4)) (/.f64 (neg.f64 (+.f64 (/.f64 x 2) (/.f64 0 x))) (+.f64 x x)))
1/2
(-.f64 (/.f64 x (.f64 x 4)) (/.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x x) 4)))
1/2
(-.f64 (/.f64 x (.f64 x 4)) (/.f64 (.f64 (.f64 x x) -2) (.f64 x (*.f64 (+.f64 x x) 4))))
(-.f64 (/.f64 x (.f64 x 4)) (/.f64 (.f64 (.f64 x x) -2) (.f64 x (*.f64 4 (+.f64 x x)))))
(-.f64 1/4 (/.f64 (.f64 x (.f64 x -2)) (.f64 x (.f64 x 8))))
(-.f64 (/.f64 x (.f64 x 4)) (/.f64 (neg.f64 (+.f64 x (/.f64 0 x))) (.f64 x 4)))
1/2
(-.f64 (/.f64 x (.f64 x 4)) (-.f64 0 (/.f64 x (.f64 x 4))))
1/2
(-.f64 (/.f64 0 x) (/.f64 x (*.f64 x -2)))
1/2
(-.f64 (/.f64 x x) (+.f64 1/2 (/.f64 0 x)))
1/2
(-.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 x (*.f64 x 4))) (-.f64 0 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4)))
1/2
(-.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 x (*.f64 x 4))) (-.f64 (/.f64 0 x) (/.f64 (+.f64 1/2 (/.f64 0 x)) 4)))
1/2
(-.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 x (*.f64 x 4))) (-.f64 (/.f64 (/.f64 0 x) x) (/.f64 (+.f64 1/2 (/.f64 0 x)) 4)))
1/2
(-.f64 (/.f64 0 (.f64 x -2)) (/.f64 x (.f64 x -2)))
1/2
(-.f64 (/.f64 x (.f64 (+.f64 x x) 4)) (/.f64 (neg.f64 (.f64 x 3)) (*.f64 (+.f64 x x) 4)))
1/2
(-.f64 (/.f64 (+.f64 x (/.f64 x 2)) (.f64 x 4)) (/.f64 (/.f64 x -2) (.f64 x 4)))
1/2
(-.f64 (/.f64 (.f64 x 3) (.f64 (+.f64 x x) 4)) (/.f64 (neg.f64 x) (*.f64 (+.f64 x x) 4)))
1/2
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) (+.f64 x x)) (/.f64 (neg.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4)) (+.f64 x x)))
1/2
(-.f64 (/.f64 (.f64 x (.f64 x 3)) (.f64 x (.f64 (+.f64 x x) 4))) (/.f64 (neg.f64 (.f64 x x)) (.f64 x (*.f64 (+.f64 x x) 4))))
1/2
(/.f64 x (+.f64 x x))
1/2
(/.f64 x (/.f64 1 (/.f64 1/2 x)))
1/2
(/.f64 x (.f64 (.f64 x -2) -1))
1/2
(/.f64 (.f64 x x) (.f64 x (+.f64 x x)))
1/2
(/.f64 (+.f64 x x) (*.f64 x 4))
1/2
(/.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) x)
1/2
(/.f64 (+.f64 (/.f64 x 2) (/.f64 0 x)) (+.f64 x (/.f64 0 x)))
1/2
(/.f64 (/.f64 1/2 x) (/.f64 1 x))
1/2
(/.f64 (+.f64 x (/.f64 0 x)) (+.f64 x x))
1/2
(/.f64 (+.f64 x (/.f64 0 x)) (/.f64 1 (/.f64 1/2 x)))
1/2
(/.f64 (+.f64 1/2 (/.f64 0 x)) 1)
1/2
(/.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 x x))
1/2
(/.f64 (+.f64 1/2 (/.f64 0 x)) (*.f64 x (/.f64 1 x)))
1/2
(/.f64 (/.f64 x (*.f64 x 4)) 1/2)
1/2
(/.f64 (/.f64 x (*.f64 x 4)) (+.f64 1/2 (/.f64 0 x)))
1/2
(/.f64 (.f64 x (+.f64 x x)) (.f64 (*.f64 x x) 4))
1/2
(/.f64 (.f64 x 4) (.f64 (+.f64 x x) 4))
1/2
(/.f64 (/.f64 1 x) (/.f64 2 x))
1/2
(/.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 x x) -2))
1/2
(/.f64 (.f64 x -2) (neg.f64 (.f64 x 4)))
1/2
(/.f64 (.f64 x -2) (-.f64 (neg.f64 (.f64 x 3)) x))
1/2
(/.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4) (+.f64 (/.f64 x 2) (/.f64 0 x)))
1/2
(/.f64 (/.f64 (+.f64 x (/.f64 0 x)) 4) (/.f64 x 2))
1/2
(/.f64 (neg.f64 x) (*.f64 x -2))
1/2
(/.f64 (.f64 (.f64 x x) 4) (.f64 x (.f64 (+.f64 x x) 4)))
1/2
(/.f64 (.f64 (+.f64 x x) 4) (.f64 2 (*.f64 (+.f64 x x) 4)))
1/2
(/.f64 (.f64 (+.f64 x x) 4) (.f64 (*.f64 x 4) 4))
1/2
(/.f64 (/.f64 1 (/.f64 1/2 x)) (*.f64 x 4))
1/2
(/.f64 (/.f64 1 (/.f64 1/2 x)) (/.f64 4 (/.f64 1 x)))
1/2
(/.f64 (/.f64 1 (/.f64 1/2 x)) (.f64 x (/.f64 (.f64 x 4) x)))
1/2
(/.f64 (/.f64 x x) 2)
1/2
(/.f64 (/.f64 x x) (+.f64 2 (/.f64 0 x)))
1/2
(/.f64 (/.f64 x (.f64 (.f64 x x) 4)) (/.f64 1/2 x))
1/2
(/.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 (/.f64 1/2 x) x))
1/2
(/.f64 (/.f64 1/4 x) (/.f64 1/2 x))
1/2
(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (*.f64 x (+.f64 x x))))
1/2
(/.f64 (/.f64 x 2) x)
1/2
(/.f64 (.f64 (.f64 x x) -2) (-.f64 (.f64 (.f64 x x) -2) (*.f64 x (+.f64 x x))))
(/.f64 (.f64 x (.f64 x -2)) (-.f64 (.f64 x (.f64 x -2)) (*.f64 x (+.f64 x x))))
(/.f64 (neg.f64 (.f64 x 4)) (-.f64 (neg.f64 (.f64 x 4)) (*.f64 x 4)))
(/.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (.f64 x 8)))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 8)))
(/.f64 (/.f64 (.f64 x x) 2) (.f64 x x))
1/2
(/.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 x (*.f64 x 4)))
1/2
(/.f64 (/.f64 4 (/.f64 1 x)) (*.f64 (+.f64 x x) 4))
1/2
(/.f64 (/.f64 4 (/.f64 1 x)) (/.f64 (.f64 x (.f64 (+.f64 x x) 4)) x))
(/.f64 4 (.f64 (/.f64 1 x) (/.f64 (.f64 x (*.f64 4 (+.f64 x x))) x)))
(/.f64 4 (.f64 (/.f64 1 x) (/.f64 (.f64 x (*.f64 x 8)) x)))
(/.f64 (neg.f64 (.f64 x -4)) (/.f64 (.f64 x (*.f64 x 8)) x))
(/.f64 (/.f64 4 (/.f64 1 x)) (/.f64 (*.f64 x 4) 1/2))
1/2
(/.f64 (/.f64 x (*.f64 x -2)) -1)
1/2
(/.f64 (/.f64 x (.f64 x -2)) (/.f64 (.f64 x -2) (+.f64 x x)))
(/.f64 -1/2 (/.f64 (*.f64 x -2) (+.f64 x x)))
(/.f64 (.f64 (.f64 x 4) (.f64 x 4)) (.f64 4 (.f64 x (.f64 (+.f64 x x) 4))))
1/2
(/.f64 (.f64 x (.f64 (+.f64 x x) 4)) (.f64 (.f64 x 4) (*.f64 x 4)))
1/2
(/.f64 (.f64 x (.f64 (+.f64 x x) 4)) (+.f64 (.f64 x (.f64 (+.f64 x x) 4)) (.f64 x (.f64 (+.f64 x x) 4))))
1/2
(/.f64 (/.f64 (neg.f64 x) (.f64 x 4)) (/.f64 x (.f64 x -2)))
1/2
(/.f64 (+.f64 2 (/.f64 0 x)) 4)
1/2
(/.f64 (+.f64 2 (/.f64 0 x)) (/.f64 (*.f64 x 4) x))
1/2
(/.f64 (/.f64 (*.f64 x 4) x) 8)
1/2
(/.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) (*.f64 x 4)) (/.f64 1/4 x))
1/2
(/.f64 (/.f64 1/2 (*.f64 x 4)) (/.f64 1/4 x))
1/2
(/.f64 (/.f64 (.f64 (.f64 x x) 4) (*.f64 x (+.f64 x x))) 4)
1/2
(/.f64 (/.f64 (.f64 x (.f64 (+.f64 x x) 4)) (.f64 (.f64 x x) 4)) 4)
1/2
(/.f64 (/.f64 (.f64 (.f64 x 4) (.f64 x 4)) (.f64 x (*.f64 (+.f64 x x) 4))) 4)
1/2
(/.f64 (/.f64 (.f64 x (.f64 (+.f64 x x) 4)) x) (.f64 2 (.f64 (+.f64 x x) 4)))
1/2
(/.f64 (.f64 (.f64 x x) 1/2) (*.f64 x x))
1/2
(/.f64 (.f64 (.f64 x 4) 4) (.f64 (.f64 (+.f64 x x) 4) 4))
1/2
(/.f64 (.f64 4 (.f64 x (.f64 (+.f64 x x) 4))) (.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)))
1/2
(/.f64 (.f64 4 (.f64 x (.f64 (+.f64 x x) 4))) (.f64 4 (.f64 (.f64 x 4) (*.f64 x 4))))
1/2
(/.f64 (/.f64 (.f64 x x) (neg.f64 x)) (.f64 x -2))
1/2
(/.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 (+.f64 x x)))
1/2
(/.f64 (/.f64 (.f64 x (+.f64 x x)) (.f64 x -2)) (*.f64 x -2))
1/2
(/.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) x) (/.f64 1 x))
1/2
(/.f64 (+.f64 (/.f64 4 (/.f64 1 x)) (/.f64 4 (/.f64 1 x))) (.f64 2 (.f64 (+.f64 x x) 4)))
1/2
(/.f64 (.f64 2 (/.f64 4 (/.f64 1 x))) (.f64 2 (*.f64 (+.f64 x x) 4)))
1/2
(/.f64 (.f64 4 (/.f64 4 (/.f64 1 x))) (.f64 (*.f64 (+.f64 x x) 4) 4))
1/2
(/.f64 (*.f64 (+.f64 1/2 (/.f64 0 x)) (/.f64 1 x)) (/.f64 1 x))
1/2
(/.f64 (.f64 (/.f64 1 (/.f64 1/2 x)) 4) (.f64 (*.f64 x 4) 4))
1/2
(/.f64 (*.f64 x 1/2) (+.f64 x (/.f64 0 x)))
1/2
(/.f64 (/.f64 1 (.f64 x x)) (/.f64 2 (.f64 x x)))
1/2
(/.f64 (/.f64 (/.f64 x x) x) (/.f64 2 x))
1/2
(/.f64 (/.f64 (/.f64 x (*.f64 x 4)) x) (/.f64 1/2 x))
1/2
(/.f64 (-.f64 0 (neg.f64 x)) (+.f64 x x))
1/2
(/.f64 (*.f64 (/.f64 2 x) (/.f64 4 (/.f64 1 x))) 16)
1/2
(/.f64 (/.f64 (/.f64 4 (/.f64 1 x)) x) (/.f64 (*.f64 (+.f64 x x) 4) x))
1/2
(/.f64 (/.f64 (+.f64 2 (/.f64 0 x)) x) (/.f64 4 x))
1/2
(/.f64 (/.f64 (/.f64 x x) (+.f64 x x)) (/.f64 1 x))
1/2
(/.f64 (/.f64 (/.f64 x x) (*.f64 x 4)) (/.f64 1/2 x))
1/2
(/.f64 (/.f64 (+.f64 2 (/.f64 0 x)) (+.f64 x x)) (/.f64 2 x))
1/2
(/.f64 (/.f64 (+.f64 2 (/.f64 0 x)) (*.f64 x 4)) (/.f64 1 x))
1/2
(pow.f64 (+.f64 1/2 (/.f64 0 x)) 1)
1/2
(fabs.f64 (+.f64 1/2 (/.f64 0 x)))
1/2
(fabs.f64 (/.f64 (.f64 x x) (.f64 (*.f64 x x) -2)))
1/2
(fabs.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 x (+.f64 x x))))
1/2
(fabs.f64 (/.f64 (.f64 (.f64 x x) -2) (.f64 (.f64 x x) 4)))
1/2
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 x (.f64 x (+.f64 x x)))))
1/2
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (neg.f64 x) (.f64 x (+.f64 x x)))))
1/2
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 x (.f64 (*.f64 x x) -2))))
1/2
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (neg.f64 x) (.f64 (*.f64 x x) -2))))
1/2
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) -2))))
1/2

localize343.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (*.f64 x x))
✓	0.5b	(/.f64 (cos.f64 x) (*.f64 x x))
✓	18.7b	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))

Compiler

Compiled 31 to 10 computations (67.7% saved)

series18.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
0.0ms	x	@	-inf	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
0.0ms	x	@	0	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
0.0ms	x	@	0	(/.f64 (cos.f64 x) (*.f64 x x))
0.0ms	x	@	inf	(/.f64 (cos.f64 x) (*.f64 x x))

rewrite790.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`rational_best-simplify-1`
972×	`rational_best-simplify-3`
710×	`rational_best-simplify-58`
440×	`rational_best-simplify-49`
436×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	74	53
2	206	53
3	886	53
4	6471	53

Stop Event

1×	node limit

Counts

3 → 303

Calls

Call 1

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

Outputs

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simplify893.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational_best-simplify-108`
1194×	`rational_best-simplify-55`
1088×	`rational_best-simplify-47`
974×	`rational_best-simplify-53`
970×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	8861
1	1734	7387
2	7309	7375

Stop Event

1×	node limit

Counts

339 → 349

Calls

Call 1

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

localize112.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 x))
	3.2b	(-.f64 x (*.f64 x (cos.f64 x)))
✓	15.1b	(/.f64 (.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 x (cos.f64 x)))) (/.f64 (/.f64 1 x) (neg.f64 x))) (.f64 x x))
✓	31.6b	(.f64 (.f64 (neg.f64 x) (-.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 1 x) (neg.f64 x)))

Compiler

Compiled 74 to 22 computations (70.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite412.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`rational_best-simplify-61`
900×	`rational_best-2`
900×	`rational_best-3`
900×	`rational_best-1`
898×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	110
1	123	90
2	436	58
3	2432	58

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

Inputs

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

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

Outputs

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

simplify866.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

906×	`rational_best-simplify-108`
792×	`rational_best-simplify-47`
736×	`rational_best-simplify-55`
706×	`rational_best-simplify-61`
568×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	8039
1	1316	7613
2	5107	7329

Stop Event

1×	node limit

Counts

201 → 280

Calls

Call 1

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

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

eval3.0s (5.4%)

Compiler: Compiled 20829 to 11199 computations (46.2% saved)

prune3.4s (6.2%)

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	1191	14	1205
Fresh	3	14	17
Picked	1	0	1
Done	1	7	8
Total	1196	35	1231

Error

0.0b

Counts

1231 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	46.0b	(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (*.f64 x (+.f64 x x))))
✓	33.2b	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) x) (.f64 x x))
	46.9b	(/.f64 (/.f64 (-.f64 x x) x) (*.f64 x x))
	32.4b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
	33.2b	(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (/.f64 (-.f64 (.f64 x (cos.f64 x)) x) (.f64 x x)) x)) (/.f64 1 x)) (.f64 x x))
	44.5b	(/.f64 (/.f64 (.f64 x x) (neg.f64 x)) (.f64 x -2))
	29.3b	(/.f64 (/.f64 x (.f64 (.f64 x x) 4)) (/.f64 1/2 x))
	29.3b	(/.f64 (/.f64 1 (/.f64 1/2 x)) (*.f64 x 4))
✓	37.6b	(/.f64 (-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x)))) (/.f64 2 x))
	33.2b	(/.f64 (-.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (+.f64 x x)) (/.f64 (-.f64 (/.f64 (.f64 x (cos.f64 x)) x) 1) 2)) (*.f64 x x))
	32.4b	(/.f64 (-.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 (neg.f64 x))) x)
	33.2b	(/.f64 (-.f64 (-.f64 1 (cos.f64 x)) (-.f64 (.f64 2 (cos.f64 x)) (-.f64 3 (cos.f64 x)))) (.f64 x (*.f64 x 4)))
	37.7b	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	33.2b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	30.0b	(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) (+.f64 (.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5))))) (/.f64 2 x))
	37.7b	(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
	30.1b	(/.f64 (.f64 x (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)
	29.2b	(/.f64 4 (.f64 (/.f64 1 x) (/.f64 (.f64 x (*.f64 x 8)) x)))
	33.2b	(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (.f64 x x))) (-.f64 (/.f64 (.f64 (cos.f64 x) 1) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (.f64 x x))) (/.f64 1/2 (*.f64 x x)))))
✓	30.0b	(-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1 x)) -1/2)
	30.1b	(-.f64 (/.f64 (.f64 x -1/24) (/.f64 -1 x)) (-.f64 1/2 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
✓	32.9b	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	30.0b	(-.f64 1 (/.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/24)) (/.f64 1 x)))
	42.4b	(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) (+.f64 x x)))
	45.0b	(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (.f64 x (.f64 x 3)) (.f64 x (.f64 (+.f64 x x) 4))))
	30.0b	(+.f64 (neg.f64 (+.f64 1 (/.f64 (.f64 -1/24 x) (/.f64 -2 x)))) (-.f64 3/2 (/.f64 (.f64 -1/24 x) (/.f64 -2 x))))
	33.2b	(.f64 (/.f64 (/.f64 (-.f64 (.f64 x (cos.f64 x)) x) (*.f64 x x)) x) -1)
✓	32.9b	(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
	33.2b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
	44.6b	(.f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) (*.f64 x x)))
	51.8b	(.f64 (/.f64 1/2 x) (.f64 (.f64 (/.f64 (/.f64 1/4 x) x) (.f64 (*.f64 x x) (+.f64 x x))) 2))
	29.3b	(.f64 (/.f64 1/2 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 1 x))))
✓	29.2b	(*.f64 (/.f64 1/2 x) x)
	37.7b	(.f64 (.f64 (/.f64 1 (.f64 x (.f64 x x))) x) (-.f64 1 (cos.f64 x)))
	29.2b	1/2

Compiler

Compiled 538 to 356 computations (33.8% saved)

regimes719.0ms (1.3%)

Counts

56 → 3

Calls

Call 1

Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(*.f64 (/.f64 1/2 x) (/.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1 x)) -1/2)
(/.f64 (/.f64 1 (/.f64 1/2 x)) (*.f64 x 4))
(/.f64 (/.f64 (-.f64 x x) x) (*.f64 x x))
(/.f64 (/.f64 (.f64 x x) (neg.f64 x)) (.f64 x -2))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) (*.f64 x x)))
(/.f64 (.f64 x (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)
(/.f64 (/.f64 x (.f64 (.f64 x x) 4)) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 1 x))))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 x x)) 2))
(-.f64 1 (/.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/24)) (/.f64 1 x)))
(/.f64 4 (.f64 (/.f64 1 x) (/.f64 (.f64 x (*.f64 x 8)) x)))
(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (*.f64 x (+.f64 x x))))
(.f64 (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))) (/.f64 1 (/.f64 1 x)))
(.f64 (/.f64 1/2 x) (.f64 (.f64 (/.f64 (/.f64 1/4 x) x) (.f64 (*.f64 x x) (+.f64 x x))) 2))
(-.f64 (/.f64 (.f64 x -1/24) (/.f64 -1 x)) (-.f64 1/2 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(+.f64 (neg.f64 (+.f64 1 (/.f64 (.f64 -1/24 x) (/.f64 -2 x)))) (-.f64 3/2 (/.f64 (.f64 -1/24 x) (/.f64 -2 x))))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (.f64 x (.f64 x 3)) (.f64 x (.f64 (+.f64 x x) 4))))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) (+.f64 x x)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 2 (.f64 x x)) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))
(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) -1)
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 (neg.f64 x))) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (/.f64 x x)))
(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) x) (.f64 x x))
(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (/.f64 -1 (*.f64 x x)))
(/.f64 (-.f64 (/.f64 1 (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(.f64 1 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (.f64 x x))))
(.f64 (.f64 (/.f64 1 (.f64 x (.f64 x x))) x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 x (cos.f64 x)) x) (*.f64 x x)) x) -1)
(.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 (/.f64 1 x)))
(/.f64 (.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 x (cos.f64 x)))) (/.f64 (/.f64 1 x) (neg.f64 x))) (.f64 x x))
(/.f64 (-.f64 (/.f64 16 (/.f64 8 x)) (/.f64 (.f64 (cos.f64 x) 2) (/.f64 1 x))) (.f64 x (*.f64 x (+.f64 x x))))
(/.f64 (-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x)))) (/.f64 2 x))
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (/.f64 (-.f64 (.f64 x (cos.f64 x)) x) (.f64 x x)) x)) (/.f64 1 x)) (.f64 x x))
(-.f64 (/.f64 1/2 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 x (+.f64 x x))))
(-.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 x (+.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) (+.f64 (.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5))))) (/.f64 2 x))
(/.f64 (-.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (+.f64 x x)) (/.f64 (-.f64 (/.f64 (.f64 x (cos.f64 x)) x) 1) 2)) (*.f64 x x))
(.f64 (+.f64 (.f64 x -1/24) (+.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/40320 (pow.f64 x 5))) (*.f64 1/720 (pow.f64 x 3)))) (/.f64 1 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 2)))))
(/.f64 (-.f64 (-.f64 1 (cos.f64 x)) (-.f64 (.f64 2 (cos.f64 x)) (-.f64 3 (cos.f64 x)))) (.f64 x (*.f64 x 4)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (.f64 x x))) (-.f64 (/.f64 (.f64 (cos.f64 x) 1) (.f64 x (+.f64 x x))) (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 4 (.f64 x x))) (/.f64 1/2 (*.f64 x x)))))

Outputs

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

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

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

Calls

2 calls:

538.0ms	x
93.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.2b	3	`x`
0.7b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 826 to 440 computations (46.7% saved)

bsearch180.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	2.1067242210823487e-7	0.1489818619622779
122.0ms	-352386364.41040134	-0.030278999186134418

Results

162.0ms

304×

body

256

valid

Compiler

Compiled 622 to 504 computations (19% saved)

regimes1.8s (3.2%)

Counts

53 → 3

Calls

Call 1

Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(*.f64 (/.f64 1/2 x) (/.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1 x)) -1/2)
(/.f64 (/.f64 1 (/.f64 1/2 x)) (*.f64 x 4))
(/.f64 (/.f64 (-.f64 x x) x) (*.f64 x x))
(/.f64 (/.f64 (.f64 x x) (neg.f64 x)) (.f64 x -2))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) (*.f64 x x)))
(/.f64 (.f64 x (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)
(/.f64 (/.f64 x (.f64 (.f64 x x) 4)) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 1 x))))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 x x)) 2))
(-.f64 1 (/.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/24)) (/.f64 1 x)))
(/.f64 4 (.f64 (/.f64 1 x) (/.f64 (.f64 x (*.f64 x 8)) x)))
(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (*.f64 x (+.f64 x x))))
(.f64 (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))) (/.f64 1 (/.f64 1 x)))
(.f64 (/.f64 1/2 x) (.f64 (.f64 (/.f64 (/.f64 1/4 x) x) (.f64 (*.f64 x x) (+.f64 x x))) 2))
(-.f64 (/.f64 (.f64 x -1/24) (/.f64 -1 x)) (-.f64 1/2 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(+.f64 (neg.f64 (+.f64 1 (/.f64 (.f64 -1/24 x) (/.f64 -2 x)))) (-.f64 3/2 (/.f64 (.f64 -1/24 x) (/.f64 -2 x))))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (.f64 x (.f64 x 3)) (.f64 x (.f64 (+.f64 x x) 4))))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) (+.f64 x x)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 2 (.f64 x x)) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))
(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) -1)
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 (neg.f64 x))) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (/.f64 x x)))
(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) x) (.f64 x x))
(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (/.f64 -1 (*.f64 x x)))
(/.f64 (-.f64 (/.f64 1 (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(.f64 1 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (.f64 x x))))
(.f64 (.f64 (/.f64 1 (.f64 x (.f64 x x))) x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 x (cos.f64 x)) x) (*.f64 x x)) x) -1)
(.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 (/.f64 1 x)))
(/.f64 (.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 x (cos.f64 x)))) (/.f64 (/.f64 1 x) (neg.f64 x))) (.f64 x x))
(/.f64 (-.f64 (/.f64 16 (/.f64 8 x)) (/.f64 (.f64 (cos.f64 x) 2) (/.f64 1 x))) (.f64 x (*.f64 x (+.f64 x x))))
(/.f64 (-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x)))) (/.f64 2 x))
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (/.f64 (-.f64 (.f64 x (cos.f64 x)) x) (.f64 x x)) x)) (/.f64 1 x)) (.f64 x x))
(-.f64 (/.f64 1/2 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 x (+.f64 x x))))
(-.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 x (+.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) (+.f64 (.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5))))) (/.f64 2 x))
(/.f64 (-.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (+.f64 x x)) (/.f64 (-.f64 (/.f64 (.f64 x (cos.f64 x)) x) 1) 2)) (*.f64 x x))
(.f64 (+.f64 (.f64 x -1/24) (+.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/40320 (pow.f64 x 5))) (*.f64 1/720 (pow.f64 x 3)))) (/.f64 1 (/.f64 1 x)))

Outputs

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

(/.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) (+.f64 (*.f64 1/360 (pow.f64 x 3)) (*.f64 -1/20160 (pow.f64 x 5))))) (/.f64 2 x))

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

Calls

2 calls:

1.2s	x
95.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.2b	3	`x`
0.7b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 749 to 394 computations (47.4% saved)

bsearch138.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	2.1067242210823487e-7	0.1489818619622779
69.0ms	-352386364.41040134	-0.030278999186134418

Results

105.0ms

304×

body

256

valid

Compiler

Compiled 698 to 542 computations (22.3% saved)

regimes1.5s (2.6%)

Counts

50 → 3

Calls

Call 1

Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(*.f64 (/.f64 1/2 x) (/.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1 x)) -1/2)
(/.f64 (/.f64 1 (/.f64 1/2 x)) (*.f64 x 4))
(/.f64 (/.f64 (-.f64 x x) x) (*.f64 x x))
(/.f64 (/.f64 (.f64 x x) (neg.f64 x)) (.f64 x -2))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) (*.f64 x x)))
(/.f64 (.f64 x (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)
(/.f64 (/.f64 x (.f64 (.f64 x x) 4)) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 1 x))))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 x x)) 2))
(-.f64 1 (/.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/24)) (/.f64 1 x)))
(/.f64 4 (.f64 (/.f64 1 x) (/.f64 (.f64 x (*.f64 x 8)) x)))
(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (*.f64 x (+.f64 x x))))
(.f64 (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))) (/.f64 1 (/.f64 1 x)))
(.f64 (/.f64 1/2 x) (.f64 (.f64 (/.f64 (/.f64 1/4 x) x) (.f64 (*.f64 x x) (+.f64 x x))) 2))
(-.f64 (/.f64 (.f64 x -1/24) (/.f64 -1 x)) (-.f64 1/2 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(+.f64 (neg.f64 (+.f64 1 (/.f64 (.f64 -1/24 x) (/.f64 -2 x)))) (-.f64 3/2 (/.f64 (.f64 -1/24 x) (/.f64 -2 x))))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (.f64 x (.f64 x 3)) (.f64 x (.f64 (+.f64 x x) 4))))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) (+.f64 x x)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 2 (.f64 x x)) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))
(-.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))) -1)
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (.f64 x (-.f64 1 (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 (neg.f64 x))) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 x (/.f64 x x)))
(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) x) (.f64 x x))
(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (/.f64 -1 (*.f64 x x)))
(/.f64 (-.f64 (/.f64 1 (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(.f64 1 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (.f64 x x))))
(.f64 (.f64 (/.f64 1 (.f64 x (.f64 x x))) x) (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 x (cos.f64 x)) x) (*.f64 x x)) x) -1)
(.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (*.f64 x x))) (/.f64 1 (/.f64 1 x)))
(/.f64 (.f64 (.f64 (neg.f64 x) (-.f64 x (.f64 x (cos.f64 x)))) (/.f64 (/.f64 1 x) (neg.f64 x))) (.f64 x x))
(/.f64 (-.f64 (/.f64 16 (/.f64 8 x)) (/.f64 (.f64 (cos.f64 x) 2) (/.f64 1 x))) (.f64 x (*.f64 x (+.f64 x x))))
(/.f64 (-.f64 (/.f64 (/.f64 2 x) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 (/.f64 2 x) (*.f64 x x)))) (/.f64 2 x))
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (/.f64 (-.f64 (.f64 x (cos.f64 x)) x) (.f64 x x)) x)) (/.f64 1 x)) (.f64 x x))
(-.f64 (/.f64 1/2 (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)) (.f64 x (+.f64 x x))))
(-.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 x)) 2) (.f64 x (+.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (+.f64 x x))))

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

Calls

2 calls:

694.0ms	x
92.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.2b	3	`x`
0.7b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 674 to 346 computations (48.7% saved)

bsearch293.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
230.0ms	2.1067242210823487e-7	0.1489818619622779
62.0ms	-0.030278999186134418	-2.60010979604151e-5

Results

286.0ms

272×

body

256

valid

Compiler

Compiled 386 to 297 computations (23.1% saved)

regimes720.0ms (1.3%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

2 calls:

521.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
174.0ms	x

Results

Error	Segments	Branch
0.2b	3	`x`
0.9b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 320 to 206 computations (35.6% saved)

bsearch132.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	2.1067242210823487e-7	0.1489818619622779
72.0ms	-0.030278999186134418	-2.60010979604151e-5

Results

100.0ms

272×

body

256

valid

Compiler

Compiled 370 to 281 computations (24.1% saved)

regimes383.0ms (0.7%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

2 calls:

205.0ms	x
30.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.9b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 292 to 192 computations (34.2% saved)

bsearch239.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
188.0ms	2.1067242210823487e-7	0.1489818619622779
50.0ms	-0.030278999186134418	-2.60010979604151e-5

Results

220.0ms

272×

body

256

valid

Compiler

Compiled 370 to 281 computations (24.1% saved)

regimes186.0ms (0.3%)

Counts

22 → 3

Calls

Call 1

Inputs
1/2
(*.f64 (/.f64 1/2 x) x)
(*.f64 (/.f64 1/2 x) (/.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1 x)) -1/2)
(/.f64 (/.f64 1 (/.f64 1/2 x)) (*.f64 x 4))
(/.f64 (/.f64 (-.f64 x x) x) (*.f64 x x))
(/.f64 (/.f64 (.f64 x x) (neg.f64 x)) (.f64 x -2))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) (*.f64 x x)))
(/.f64 (.f64 x (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)
(/.f64 (/.f64 x (.f64 (.f64 x x) 4)) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 1 x))))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 (*.f64 x x) (+.f64 x x)) 2))
(-.f64 1 (/.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/24)) (/.f64 1 x)))
(/.f64 4 (.f64 (/.f64 1 x) (/.f64 (.f64 x (*.f64 x 8)) x)))
(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 2 (*.f64 x (+.f64 x x))))
(.f64 (+.f64 (.f64 x -1/24) (*.f64 1/2 (/.f64 1 x))) (/.f64 1 (/.f64 1 x)))
(.f64 (/.f64 1/2 x) (.f64 (.f64 (/.f64 (/.f64 1/4 x) x) (.f64 (*.f64 x x) (+.f64 x x))) 2))
(-.f64 (/.f64 (.f64 x -1/24) (/.f64 -1 x)) (-.f64 1/2 (.f64 x (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(+.f64 (neg.f64 (+.f64 1 (/.f64 (.f64 -1/24 x) (/.f64 -2 x)))) (-.f64 3/2 (/.f64 (.f64 -1/24 x) (/.f64 -2 x))))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (.f64 x (.f64 x 3)) (.f64 x (.f64 (+.f64 x x) 4))))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 0 x)) 4) (/.f64 (/.f64 (.f64 x (.f64 x 3)) (*.f64 x 4)) (+.f64 x x)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))

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

Calls

1 calls:

164.0ms

Results

Error	Segments	Branch
13.8b	3	`x`

Compiler

Compiled 275 to 182 computations (33.8% saved)

bsearch401.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
81.0ms	0.1489818619622779	262.68125431278196
320.0ms	-352386364.41040134	-0.030278999186134418

Results

394.0ms

288×

body

256

valid

Compiler

Compiled 409 to 279 computations (31.8% saved)

regimes27.0ms (0%)

Accuracy

Total -1.1b remaining (-3.7%)

Threshold costs -1.1b (-3.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
1/2

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
29.2b	1	`x`

Compiler

Compiled 36 to 27 computations (25% saved)

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	629

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -3602879701896397/36028797018963968) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 7349874591868649/72057594037927936) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -3602879701896397/36028797018963968) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 7349874591868649/72057594037927936) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) (+.f64 (.f64 1/360 (pow.f64 x 3)) (.f64 -1/20160 (pow.f64 x 5))))) (/.f64 2 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1152921504606847/288230376151711744) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 5188146770730811/1152921504606846976) (-.f64 (/.f64 (.f64 x -1/24) (/.f64 1 x)) -1/2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1152921504606847/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5188146770730811/1152921504606846976) (-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1 x)) -1/2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1152921504606847/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 5188146770730811/1152921504606846976) (-.f64 (/.f64 (.f64 x -1/24) (/.f64 1 x)) -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -3884354678607053/1125899906842624) (/.f64 (/.f64 (-.f64 x x) x) (.f64 x x)) (if (<=.f64 x 7/2) (-.f64 (/.f64 (.f64 x -1/24) (/.f64 1 x)) -1/2) (/.f64 (/.f64 (-.f64 x x) x) (*.f64 x x))))
1/2

Outputs
(if (<=.f64 x -3602879701896397/36028797018963968) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 7349874591868649/72057594037927936) (+.f64 1/2 (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 2))))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -3602879701896397/36028797018963968) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 7349874591868649/72057594037927936) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) (+.f64 (.f64 1/360 (pow.f64 x 3)) (.f64 -1/20160 (pow.f64 x 5))))) (/.f64 2 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1152921504606847/288230376151711744) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 5188146770730811/1152921504606846976) (-.f64 (/.f64 (.f64 x -1/24) (/.f64 1 x)) -1/2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1152921504606847/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5188146770730811/1152921504606846976) (-.f64 (/.f64 (*.f64 x -1/24) (/.f64 1 x)) -1/2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1152921504606847/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 5188146770730811/1152921504606846976) (-.f64 (/.f64 (.f64 x -1/24) (/.f64 1 x)) -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -3884354678607053/1125899906842624) (/.f64 (/.f64 (-.f64 x x) x) (.f64 x x)) (if (<=.f64 x 7/2) (-.f64 (/.f64 (.f64 x -1/24) (/.f64 1 x)) -1/2) (/.f64 (/.f64 (-.f64 x x) x) (*.f64 x x))))
1/2

Compiler

Compiled 238 to 160 computations (32.8% saved)

soundness504.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1324×	`rational_best-simplify-64`
1320×	`rational_best-simplify-1`
992×	`rational_best-simplify-47`
728×	`rational_best-simplify-63`
580×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	5084
1	942	4480
2	3597	4184

Stop Event

1×	node limit

Compiler

Compiled 39 to 33 computations (15.4% saved)

end664.0ms (1.2%)

Compiler: Compiled 232 to 149 computations (35.8% saved)