Details

analyze294.0ms (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50%	0%	12

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample3.1s (35.8%)

Results

1.4s	2085×	body	1024	valid
1.2s	5142×	body	256	valid
462.0ms	1023×	body	512	valid
7.0ms	6×	body	2048	valid

preprocess24.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`associate-/l*_binary64`
9×	`associate-/r/_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	20	22
2	31	22
3	44	22
4	52	22
5	61	22
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Outputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`associate-/l*_binary64`
9×	`associate-/r/_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	20	22
2	31	22
3	44	22
4	52	22
5	61	22

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Outputs
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))

eval1.0ms (0%)

Compiler: Compiled 31 to 24 computations (22.6% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

15.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.9b	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
▶	15.9b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.4b	(/.f64 8/3 (sin.f64 x))
✓	15.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))

Compiler

Compiled 40 to 28 computations (30% saved)

series8.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
1.0ms	x	@	-inf	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
1.0ms	x	@	inf	(/.f64 8/3 (sin.f64 x))
1.0ms	x	@	0	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
1.0ms	x	@	-inf	(/.f64 8/3 (sin.f64 x))

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`prod-diff_binary64`
500×	`log-prod_binary64`
283×	`pow-prod-down_binary64`
271×	`pow2_binary64`
190×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	220	32
2	2873	32

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (sin.f64 x))
(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) 1) (.f64 2 (.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) -8/3) (.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 8/3 (-.f64 1 (cos.f64 x))) (.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -8/3 (-.f64 1 (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -8/3 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8/3 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 x)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (sin.f64 x) 3/8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 8/3 (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (neg.f64 (.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (.f64 -1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (.f64 1/2 (cos.f64 x)) 2) (.f64 1/2 (.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (.f64 1/2 (cos.f64 x)) 2)) (/.f64 (+.f64 (cos.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 2 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) -8/3) (*.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 8/3 (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2)) (/.f64 (+.f64 (cos.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 3))))))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-def_binary64`
753×	`distribute-lft-out_binary64`
711×	`distribute-rgt-out_binary64`
696×	`associate-l_binary64`
556×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	385
1	154	385
2	365	385
3	1092	385
4	4364	385
5	6930	385

Stop Event

1×	node limit

Counts

130 → 127

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 8/3 x)
(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 31/5670 (pow.f64 x 5)) (+.f64 (.f64 7/135 (pow.f64 x 3)) (.f64 8/3 (/.f64 1 x)))))
(*.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)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(.f64 x (fma.f64 1/18 (.f64 x x) 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 x (fma.f64 1/18 (.f64 x x) 2/3) (fma.f64 1/180 (pow.f64 x 5) (.f64 17/30240 (pow.f64 x 7))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (.f64 x (fma.f64 1/18 (.f64 x x) 2/3))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 x)
(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))
(fma.f64 4/9 x (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(fma.f64 4/9 x (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x)))
(fma.f64 x (fma.f64 x (*.f64 x 7/135) 4/9) (/.f64 8/3 x))
(+.f64 (.f64 4/9 x) (+.f64 (.f64 31/5670 (pow.f64 x 5)) (+.f64 (.f64 7/135 (pow.f64 x 3)) (.f64 8/3 (/.f64 1 x)))))
(fma.f64 4/9 x (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 5) 31/5670 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x))))
(fma.f64 x 4/9 (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x))))
(fma.f64 x (fma.f64 x (*.f64 x 7/135) 4/9) (fma.f64 31/5670 (pow.f64 x 5) (/.f64 8/3 x)))
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(.f64 x (.f64 x 1/4))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -1/48 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/4) (.f64 -1/48 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/48) 1/4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/48) 1/4))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6))))
(fma.f64 x (.f64 x 1/4) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/48) 1/4) (*.f64 1/1440 (pow.f64 x 6)))
(+.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)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 x (.f64 x 1/4) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6)))))
(fma.f64 x (.f64 x 1/4) (fma.f64 1/1440 (pow.f64 x 6) (fma.f64 -1/48 (pow.f64 x 4) (.f64 -1/80640 (pow.f64 x 8)))))
(fma.f64 -1/48 (pow.f64 x 4) (fma.f64 1/1440 (pow.f64 x 6) (fma.f64 -1/80640 (pow.f64 x 8) (.f64 x (.f64 x 1/4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
✓	0.3b	(.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2)))
✓	15.7b	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

New

Error

Program

✓

0.3b

(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))

✓

0.3b

(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))

✓

15.7b

(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))

Compiler

Compiled 54 to 43 computations (20.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
0.0ms	x	@	-inf	(.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))
0.0ms	x	@	inf	(.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2)))
0.0ms	x	@	-inf	(.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2)))
0.0ms	x	@	0	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
452×	`exp-prod_binary64`
305×	`pow2_binary64`
296×	`pow-prod-down_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	251	38
2	2994	38

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs

(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))

(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))

(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8/3 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) (cbrt.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) 2)) (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x 1/2)) 1) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 1) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))))))

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary64`
783×	`distribute-rgt-out_binary64`
772×	`distribute-lft-out_binary64`
688×	`associate-l_binary64`
554×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	490
1	157	490
2	374	490
3	1111	490
4	4229	490
5	6972	490

Stop Event

1×	node limit

Counts

145 → 138

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 1/180 (pow.f64 x 5)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 2/3 x (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (fma.f64 1/180 (pow.f64 x 5) (.f64 17/30240 (pow.f64 x 7))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(*.f64 x 4/3)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 (pow.f64 x 3) -1/18))
(fma.f64 (pow.f64 x 3) -1/18 (*.f64 x 4/3))
(fma.f64 x 4/3 (*.f64 (pow.f64 x 3) -1/18))
(.f64 x (fma.f64 x (.f64 x -1/18) 4/3))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18)))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440)))
(fma.f64 x (fma.f64 x (.f64 x -1/18) 4/3) (.f64 (pow.f64 x 5) 1/1440))
(+.f64 (.f64 4/3 x) (+.f64 (.f64 -1/241920 (pow.f64 x 7)) (+.f64 (.f64 1/1440 (pow.f64 x 5)) (.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18))))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440))))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (fma.f64 (pow.f64 x 5) 1/1440 (*.f64 (pow.f64 x 7) -1/241920))))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (fma.f64 (pow.f64 x 7) -1/241920 (*.f64 (pow.f64 x 5) 1/1440))))
(fma.f64 (pow.f64 x 3) -1/18 (fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 5) 1/1440 (*.f64 x 4/3))))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(.f64 8/3 (sin.f64 (.f64 1/2 x)))
(.f64 8/3 (sin.f64 (.f64 x 1/2)))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (.f64 2/3 (.f64 x x)))
(fma.f64 2/3 (.f64 x x) (.f64 -1/18 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/18) 2/3)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 6) (.f64 2/3 (.f64 x x))))
(fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (.f64 1/540 (pow.f64 x 6))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/18) 2/3) (*.f64 1/540 (pow.f64 x 6)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/30240 (pow.f64 x 8)))))
(fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/30240 (pow.f64 x 8)))))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))

eval111.0ms (1.3%)

Compiler: Compiled 4336 to 3154 computations (27.3% saved)

prune119.0ms (1.4%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	238	27	265
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	240	27	267

Error

0.0b

Counts

267 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	34.5b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
	15.9b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
	31.4b	(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))
	15.9b	(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
	31.3b	(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1)
	24.9b	(.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 8/3 (sin.f64 x)))
▶	0.5b	(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
	46.0b	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
	31.4b	(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x)))
	38.5b	(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 4) (/.f64 8/3 (sin.f64 x)))
	34.8b	(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
▶	31.3b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))
	31.4b	(.f64 8/3 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
	15.9b	(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
	31.0b	(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
	15.9b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (pow.f64 (*.f64 (sin.f64 x) 3/8) -1))
	31.0b	(.f64 x (fma.f64 1/18 (.f64 x x) 2/3))
	31.3b	(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
▶	16.9b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 6) (/.f64 8/3 (sin.f64 x)))
	46.1b	(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 (sin.f64 x)))
	28.0b	(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6) 1/3) (/.f64 8/3 (sin.f64 x)))
	31.3b	(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
▶	30.4b	(*.f64 2/3 x)
	15.9b	(/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x))
▶	45.9b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))))
	31.4b	(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
	31.3b	(+.f64 0 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))

Compiler

Compiled 728 to 602 computations (17.3% saved)

localize60.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))
✓	0.2b	(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
✓	0.3b	(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))

New

Error

Program

✓

0.1b

(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))

✓

0.2b

(/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))

✓

0.3b

(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))

Compiler

Compiled 62 to 49 computations (21% saved)

series17.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
4.0ms	x	@	0	(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
2.0ms	x	@	0	(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
2.0ms	x	@	0	(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))
2.0ms	x	@	-inf	(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))

rewrite117.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log-prod_binary64`
361×	`pow-prod-down_binary64`
298×	`pow2_binary64`
228×	`pow-unpow_binary64`
211×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	273	44
2	3143	44

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

Inputs

(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))

(/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))

(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (*.f64 (/.f64 (sin.f64 x) (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 8/3 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 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1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 8/3 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 8/3) (/.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (pow.f64 8/3 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 8/3 1/4) (/.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (pow.f64 8/3 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 8/3)) (neg.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2)))) -1))))))

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

647×	`associate-+l+_binary64`
477×	`fma-def_binary64`
466×	`associate-+r+_binary64`
393×	`distribute-rgt-in_binary64`
371×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	915
1	284	673
2	906	632
3	3168	598

Stop Event

1×	node limit

Counts

193 → 187

Calls

Call 1

Inputs
(.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (.f64 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (+.f64 (.f64 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (*.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2)))) (pow.f64 x 5))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (+.f64 (.f64 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (.f64 -1/80640 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (.f64 -1/20160 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2))))) (.f64 1/120 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))))))) (pow.f64 x 7)) (.f64 (-.f64 (.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (*.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2)))) (pow.f64 x 5)))))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(*.f64 1/2 (sqrt.f64 8/3))
(+.f64 (.f64 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3))) (pow.f64 x 2)) (.f64 1/2 (sqrt.f64 8/3)))
(+.f64 (.f64 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 1/3840 (sqrt.f64 8/3)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3)))) (.f64 1/240 (sqrt.f64 8/3)))) (pow.f64 x 4)) (.f64 1/2 (sqrt.f64 8/3))))
(+.f64 (.f64 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 1/3840 (sqrt.f64 8/3)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3)))) (.f64 1/240 (sqrt.f64 8/3)))) (pow.f64 x 4)) (+.f64 (.f64 1/2 (sqrt.f64 8/3)) (.f64 (-.f64 (.f64 -1/645120 (sqrt.f64 8/3)) (+.f64 (.f64 -1/10080 (sqrt.f64 8/3)) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/3840 (sqrt.f64 8/3)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3)))) (.f64 1/240 (sqrt.f64 8/3))))) (.f64 1/120 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3))))))) (pow.f64 x 6)))))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(.f64 1/2 (.f64 (sqrt.f64 8/3) x))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 8/3) x)) (.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3))))
(+.f64 (.f64 1/3840 (.f64 (sqrt.f64 8/3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 8/3) x)) (.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3)))))
(+.f64 (.f64 1/3840 (.f64 (sqrt.f64 8/3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 8/3) x)) (+.f64 (.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3))) (.f64 -1/645120 (.f64 (sqrt.f64 8/3) (pow.f64 x 7))))))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))

Outputs
(.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x))
(*.f64 x 2/3)
(+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (.f64 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)))
(fma.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x) (.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (+.f64 (.f64 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (*.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2)))) (pow.f64 x 5))))
(fma.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x) (fma.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (pow.f64 x 3) (.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/1440) (fma.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/480))) (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 x 2/3 (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (+.f64 (.f64 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (.f64 -1/80640 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (.f64 -1/20160 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2))))) (.f64 1/120 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))))))) (pow.f64 x 7)) (.f64 (-.f64 (.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (*.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2)))) (pow.f64 x 5)))))
(fma.f64 1/4 (.f64 (pow.f64 (sqrt.f64 8/3) 2) x) (fma.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (pow.f64 x 3) (fma.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) -1/80640) (fma.f64 -1/20160 (pow.f64 (sqrt.f64 8/3) 2) (fma.f64 -1/6 (-.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/1440) (fma.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/480))) (.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) 1/120)))) (pow.f64 x 7) (.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/1440) (fma.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/480))) (pow.f64 x 5)))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 x 2/3 (fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 x 2/3 (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 17/30240 (pow.f64 x 7)))))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sqrt.f64 8/3) 2) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sqrt.f64 8/3) 2) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sqrt.f64 8/3) 2) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sqrt.f64 8/3) 2) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sqrt.f64 8/3) 2) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sqrt.f64 8/3) 2) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sqrt.f64 8/3) 2) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sqrt.f64 8/3) 2) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x 1/2)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 1/2 (sqrt.f64 8/3))
(*.f64 (sqrt.f64 8/3) 1/2)
(+.f64 (.f64 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3))) (pow.f64 x 2)) (.f64 1/2 (sqrt.f64 8/3)))
(fma.f64 (.f64 (sqrt.f64 8/3) 1/16) (.f64 x x) (*.f64 (sqrt.f64 8/3) 1/2))
(fma.f64 (sqrt.f64 8/3) 1/2 (.f64 (sqrt.f64 8/3) (.f64 1/16 (*.f64 x x))))
(.f64 (sqrt.f64 8/3) (+.f64 1/2 (.f64 (*.f64 x x) 1/16)))
(+.f64 (.f64 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 1/3840 (sqrt.f64 8/3)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3)))) (.f64 1/240 (sqrt.f64 8/3)))) (pow.f64 x 4)) (.f64 1/2 (sqrt.f64 8/3))))
(fma.f64 (.f64 (sqrt.f64 8/3) 1/16) (.f64 x x) (fma.f64 (-.f64 (.f64 (sqrt.f64 8/3) 1/3840) (fma.f64 -1/6 (.f64 (sqrt.f64 8/3) 1/16) (.f64 (sqrt.f64 8/3) 1/240))) (pow.f64 x 4) (.f64 (sqrt.f64 8/3) 1/2)))
(fma.f64 (.f64 (sqrt.f64 8/3) 1/16) (.f64 x x) (fma.f64 (-.f64 (.f64 (sqrt.f64 8/3) 1/3840) (fma.f64 (sqrt.f64 8/3) 1/240 (.f64 (sqrt.f64 8/3) -1/96))) (pow.f64 x 4) (*.f64 (sqrt.f64 8/3) 1/2)))
(fma.f64 (+.f64 (.f64 (sqrt.f64 8/3) 41/3840) (.f64 (sqrt.f64 8/3) -1/240)) (pow.f64 x 4) (.f64 (sqrt.f64 8/3) (+.f64 1/2 (.f64 (*.f64 x x) 1/16))))
(fma.f64 (.f64 (sqrt.f64 8/3) 5/768) (pow.f64 x 4) (.f64 (sqrt.f64 8/3) (+.f64 1/2 (.f64 (.f64 x x) 1/16))))
(+.f64 (.f64 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 1/3840 (sqrt.f64 8/3)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3)))) (.f64 1/240 (sqrt.f64 8/3)))) (pow.f64 x 4)) (+.f64 (.f64 1/2 (sqrt.f64 8/3)) (.f64 (-.f64 (.f64 -1/645120 (sqrt.f64 8/3)) (+.f64 (.f64 -1/10080 (sqrt.f64 8/3)) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/3840 (sqrt.f64 8/3)) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3)))) (.f64 1/240 (sqrt.f64 8/3))))) (.f64 1/120 (-.f64 (.f64 -1/48 (sqrt.f64 8/3)) (.f64 -1/12 (sqrt.f64 8/3))))))) (pow.f64 x 6)))))
(fma.f64 (.f64 (sqrt.f64 8/3) 1/16) (.f64 x x) (fma.f64 (-.f64 (.f64 (sqrt.f64 8/3) 1/3840) (fma.f64 -1/6 (.f64 (sqrt.f64 8/3) 1/16) (.f64 (sqrt.f64 8/3) 1/240))) (pow.f64 x 4) (fma.f64 1/2 (sqrt.f64 8/3) (.f64 (-.f64 (.f64 (sqrt.f64 8/3) -1/645120) (fma.f64 -1/10080 (sqrt.f64 8/3) (fma.f64 -1/6 (-.f64 (.f64 (sqrt.f64 8/3) 1/3840) (fma.f64 -1/6 (.f64 (sqrt.f64 8/3) 1/16) (.f64 (sqrt.f64 8/3) 1/240))) (.f64 1/120 (.f64 (sqrt.f64 8/3) 1/16))))) (pow.f64 x 6)))))
(fma.f64 (.f64 (sqrt.f64 8/3) 1/16) (.f64 x x) (fma.f64 (-.f64 (.f64 (sqrt.f64 8/3) 1/3840) (fma.f64 (sqrt.f64 8/3) 1/240 (.f64 (sqrt.f64 8/3) -1/96))) (pow.f64 x 4) (fma.f64 (-.f64 (.f64 (sqrt.f64 8/3) 1/10240) (fma.f64 -1/6 (-.f64 (.f64 (sqrt.f64 8/3) 1/3840) (fma.f64 (sqrt.f64 8/3) 1/240 (.f64 (sqrt.f64 8/3) -1/96))) (.f64 (sqrt.f64 8/3) 1/1920))) (pow.f64 x 6) (*.f64 (sqrt.f64 8/3) 1/2))))
(+.f64 (.f64 (sqrt.f64 8/3) (+.f64 1/2 (.f64 (.f64 x x) 1/16))) (fma.f64 (+.f64 (.f64 (sqrt.f64 8/3) 41/3840) (.f64 (sqrt.f64 8/3) -1/240)) (pow.f64 x 4) (.f64 (-.f64 (.f64 (sqrt.f64 8/3) -13/30720) (.f64 -1/6 (+.f64 (.f64 (sqrt.f64 8/3) 41/3840) (.f64 (sqrt.f64 8/3) -1/240)))) (pow.f64 x 6))))
(+.f64 (.f64 (sqrt.f64 8/3) (+.f64 1/2 (.f64 (.f64 x x) 1/16))) (fma.f64 (fma.f64 (sqrt.f64 8/3) -13/30720 (.f64 (.f64 (sqrt.f64 8/3) 5/768) 1/6)) (pow.f64 x 6) (.f64 (*.f64 (sqrt.f64 8/3) 5/768) (pow.f64 x 4))))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 8/3) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sin.f64 x)))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 8/3) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sin.f64 x)))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 8/3) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sin.f64 x)))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 8/3) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sin.f64 x)))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 8/3) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sin.f64 x)))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 8/3) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sin.f64 x)))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 8/3) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sin.f64 x)))
(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (sin.f64 x))
(/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (sqrt.f64 8/3) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sin.f64 x)))
(.f64 1/2 (.f64 (sqrt.f64 8/3) x))
(.f64 (sqrt.f64 8/3) (.f64 x 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 8/3) x)) (.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (sqrt.f64 8/3) x) (.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3))))
(fma.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3)) (.f64 (sqrt.f64 8/3) (*.f64 x 1/2)))
(.f64 (sqrt.f64 8/3) (+.f64 (.f64 x 1/2) (*.f64 -1/48 (pow.f64 x 3))))
(.f64 (.f64 (sqrt.f64 8/3) x) (+.f64 1/2 (.f64 (.f64 x x) -1/48)))
(+.f64 (.f64 1/3840 (.f64 (sqrt.f64 8/3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 8/3) x)) (.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3)))))
(fma.f64 1/3840 (.f64 (sqrt.f64 8/3) (pow.f64 x 5)) (fma.f64 1/2 (.f64 (sqrt.f64 8/3) x) (.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3)))))
(fma.f64 1/3840 (.f64 (sqrt.f64 8/3) (pow.f64 x 5)) (fma.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3)) (.f64 (sqrt.f64 8/3) (.f64 x 1/2))))
(fma.f64 (sqrt.f64 8/3) (.f64 x 1/2) (.f64 (sqrt.f64 8/3) (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 (pow.f64 x 5) 1/3840))))
(.f64 (sqrt.f64 8/3) (+.f64 (.f64 x 1/2) (+.f64 (.f64 -1/48 (pow.f64 x 3)) (.f64 (pow.f64 x 5) 1/3840))))
(+.f64 (.f64 1/3840 (.f64 (sqrt.f64 8/3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 8/3) x)) (+.f64 (.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3))) (.f64 -1/645120 (.f64 (sqrt.f64 8/3) (pow.f64 x 7))))))
(fma.f64 1/3840 (.f64 (sqrt.f64 8/3) (pow.f64 x 5)) (fma.f64 1/2 (.f64 (sqrt.f64 8/3) x) (fma.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3)) (.f64 -1/645120 (*.f64 (sqrt.f64 8/3) (pow.f64 x 7))))))
(fma.f64 1/3840 (.f64 (sqrt.f64 8/3) (pow.f64 x 5)) (fma.f64 1/2 (.f64 (sqrt.f64 8/3) x) (fma.f64 -1/48 (.f64 (sqrt.f64 8/3) (pow.f64 x 3)) (.f64 (sqrt.f64 8/3) (*.f64 -1/645120 (pow.f64 x 7))))))
(+.f64 (.f64 (sqrt.f64 8/3) (+.f64 (.f64 x 1/2) (.f64 -1/48 (pow.f64 x 3)))) (.f64 (sqrt.f64 8/3) (+.f64 (.f64 (pow.f64 x 7) -1/645120) (.f64 (pow.f64 x 5) 1/3840))))
(.f64 (sqrt.f64 8/3) (+.f64 (+.f64 (.f64 x 1/2) (.f64 -1/48 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 7) -1/645120) (*.f64 (pow.f64 x 5) 1/3840))))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 2/3 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 2/3 x)
1.0ms	x	@	inf	(*.f64 2/3 x)
1.0ms	x	@	-inf	(*.f64 2/3 x)

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 2/3 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 2/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 2/3 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 2/3 x)) (+.f64 1 (*.f64 2/3 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 2/3 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 2/3 x)) (+.f64 1 (*.f64 2/3 x))) 1) (+.f64 (+.f64 1 (*.f64 2/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 2/3 x)))) (sqrt.f64 (log.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2/3 x))) 2)) (cbrt.f64 (log.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2/3 x))) 2))))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))
✓	0.2b	(*.f64 (-.f64 1 (cos.f64 x)) 8/3)
✓	0.8b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series8.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))
1.0ms	x	@	0	(-.f64 1 (cos.f64 x))
1.0ms	x	@	inf	(*.f64 (-.f64 1 (cos.f64 x)) 8/3)
1.0ms	x	@	-inf	(*.f64 (-.f64 1 (cos.f64 x)) 8/3)

rewrite107.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
303×	`pow-prod-down_binary64`
295×	`pow2_binary64`
205×	`pow1/3_binary64`
204×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	236	29
2	3105	24

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 8/3)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 8/3 (*.f64 (neg.f64 (cos.f64 x)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 8/3 (*.f64 8/3 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 8/3) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8/3) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 64/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4/3 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (sin.f64 x) 4/3)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4/3 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 (sin.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 8/3 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) -8/3) (/.f64 1 (*.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (/.f64 8/3 (*.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (sin.f64 x))) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (*.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (*.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (tan.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (/.f64 x 2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 2) 2) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 2) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (sin.f64 x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sin.f64 x))) -2) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (cbrt.f64 (*.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 2 (sin.f64 x))) 2)) (/.f64 8/3 (cbrt.f64 (*.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (*.f64 2 (sin.f64 x))) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 2) (pow.f64 (cbrt.f64 (*.f64 2 (sin.f64 x))) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (pow.f64 (cbrt.f64 (*.f64 2 (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (cbrt.f64 (*.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (sin.f64 x)) -1/2) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (sqrt.f64 (*.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 2 (sin.f64 x)))) (/.f64 8/3 (sqrt.f64 (*.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sqrt.f64 (*.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) 2) (sqrt.f64 (*.f64 2 (sin.f64 x)))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3)) (sqrt.f64 (*.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) 3) (pow.f64 (*.f64 2 (sin.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) 3) (pow.f64 (*.f64 2 (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 1) 1))))))

simplify114.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

765×	`associate-/l/_binary64`
560×	`distribute-rgt-out_binary64`
518×	`associate-+l+_binary64`
395×	`*-commutative_binary64`
381×	`unswap-sqr_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	62	342
1	152	342
2	367	342
3	1191	342
4	2180	342
5	3199	342
6	4323	342
7	5119	326
8	7275	326

Stop Event

1×	node limit

Counts

169 → 168

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 4/3 (pow.f64 x 2))
(+.f64 (.f64 -1/9 (pow.f64 x 4)) (.f64 4/3 (pow.f64 x 2)))
(+.f64 (.f64 1/270 (pow.f64 x 6)) (+.f64 (.f64 -1/9 (pow.f64 x 4)) (*.f64 4/3 (pow.f64 x 2))))
(+.f64 (.f64 -1/15120 (pow.f64 x 8)) (+.f64 (.f64 1/270 (pow.f64 x 6)) (+.f64 (.f64 -1/9 (pow.f64 x 4)) (.f64 4/3 (pow.f64 x 2)))))
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/24 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (.f64 x x))))
(+.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)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 4/3 (pow.f64 x 2))
(.f64 (.f64 x x) 4/3)
(.f64 x (.f64 x 4/3))
(+.f64 (.f64 -1/9 (pow.f64 x 4)) (.f64 4/3 (pow.f64 x 2)))
(fma.f64 -1/9 (pow.f64 x 4) (.f64 (.f64 x x) 4/3))
(fma.f64 (.f64 x x) 4/3 (.f64 (pow.f64 x 4) -1/9))
(fma.f64 x (.f64 x 4/3) (.f64 (pow.f64 x 4) -1/9))
(+.f64 (.f64 1/270 (pow.f64 x 6)) (+.f64 (.f64 -1/9 (pow.f64 x 4)) (*.f64 4/3 (pow.f64 x 2))))
(fma.f64 1/270 (pow.f64 x 6) (fma.f64 -1/9 (pow.f64 x 4) (.f64 (.f64 x x) 4/3)))
(fma.f64 (pow.f64 x 6) 1/270 (fma.f64 (.f64 x x) 4/3 (.f64 (pow.f64 x 4) -1/9)))
(fma.f64 (pow.f64 x 4) -1/9 (fma.f64 x (.f64 x 4/3) (.f64 (pow.f64 x 6) 1/270)))
(fma.f64 x (.f64 x 4/3) (fma.f64 (pow.f64 x 6) 1/270 (.f64 (pow.f64 x 4) -1/9)))
(fma.f64 x (.f64 x 4/3) (fma.f64 (pow.f64 x 4) -1/9 (.f64 (pow.f64 x 6) 1/270)))
(+.f64 (.f64 -1/15120 (pow.f64 x 8)) (+.f64 (.f64 1/270 (pow.f64 x 6)) (+.f64 (.f64 -1/9 (pow.f64 x 4)) (.f64 4/3 (pow.f64 x 2)))))
(fma.f64 -1/15120 (pow.f64 x 8) (fma.f64 1/270 (pow.f64 x 6) (fma.f64 -1/9 (pow.f64 x 4) (.f64 (.f64 x x) 4/3))))
(fma.f64 (pow.f64 x 8) -1/15120 (fma.f64 (pow.f64 x 6) 1/270 (fma.f64 (.f64 x x) 4/3 (.f64 (pow.f64 x 4) -1/9))))
(fma.f64 (pow.f64 x 6) 1/270 (fma.f64 (pow.f64 x 8) -1/15120 (fma.f64 x (.f64 x 4/3) (.f64 (pow.f64 x 4) -1/9))))
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(+.f64 8/3 (*.f64 (cos.f64 x) -8/3))
(fma.f64 (cos.f64 x) -8/3 8/3)
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(+.f64 8/3 (*.f64 (cos.f64 x) -8/3))
(fma.f64 (cos.f64 x) -8/3 8/3)
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(+.f64 8/3 (*.f64 (cos.f64 x) -8/3))
(fma.f64 (cos.f64 x) -8/3 8/3)
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(+.f64 8/3 (*.f64 (cos.f64 x) -8/3))
(fma.f64 (cos.f64 x) -8/3 8/3)
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(+.f64 8/3 (*.f64 (cos.f64 x) -8/3))
(fma.f64 (cos.f64 x) -8/3 8/3)
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(+.f64 8/3 (*.f64 (cos.f64 x) -8/3))
(fma.f64 (cos.f64 x) -8/3 8/3)
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(+.f64 8/3 (*.f64 (cos.f64 x) -8/3))
(fma.f64 (cos.f64 x) -8/3 8/3)
(*.f64 8/3 (-.f64 1 (cos.f64 x)))
(+.f64 8/3 (*.f64 (cos.f64 x) -8/3))
(fma.f64 (cos.f64 x) -8/3 8/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3)))
(fma.f64 x 2/3 (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.3b	(*.f64 4/9 x)
✓	0.4b	(*.f64 8/3 (/.f64 1 x))
✓	15.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))))

Compiler

Compiled 61 to 47 computations (23% saved)

series13.0ms (0.2%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(*.f64 8/3 (/.f64 1 x))
2.0ms	x	@	0	(*.f64 4/9 x)
1.0ms	x	@	inf	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))))
1.0ms	x	@	-inf	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))))
1.0ms	x	@	0	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))))

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`log-prod_binary64`
478×	`fma-def_binary64`
259×	`pow1/3_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	313	27
2	4224	27

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))))
(*.f64 8/3 (/.f64 1 x))
(*.f64 4/9 x)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 8/3 (*.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 8/3 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 4/9)) 2) (*.f64 (cbrt.f64 (*.f64 x 4/9)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 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(sqrt.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x))) (sqrt.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9))) (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) 2/3)) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) 2/3)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 x) 2/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 x) 2/3) (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 x))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 8/3 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (/.f64 8/3 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4/9) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 8/3 x) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (/.f64 1 x) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) x) 4/9 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 4/9) x (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x 4/9)) 2)) (cbrt.f64 (*.f64 x 4/9)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sqrt.f64 x) 2/3)) (*.f64 (sqrt.f64 x) 2/3) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4/9) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 1 x)) 8/3 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x -2) 64/9))) (cbrt.f64 (/.f64 8/3 x)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 x))) (sqrt.f64 (/.f64 8/3 x)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 8/3 x) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 x 4/9)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 x))) (cbrt.f64 (exp.f64 (/.f64 8/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 512/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x 8/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 512/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4/9) x)) (cbrt.f64 (pow.f64 (exp.f64 4/9) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/9) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 4/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 4/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 64/729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 16/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 64/729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 4/9)) 1))))))

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

892×	`fma-def_binary64`
626×	`associate-l_binary64`
433×	`distribute-rgt-out_binary64`
388×	`associate-r_binary64`
379×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	316
1	85	316
2	188	316
3	459	262
4	969	250
5	2692	250
6	4903	250
7	6100	250
8	7695	250

Stop Event

1×	node limit

Counts

137 → 124

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 -1/135 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 5/18144 (pow.f64 x 7)) (.f64 -1/135 (pow.f64 x 5)))))
(.f64 4/9 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(.f64 4/9 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 -1/135 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 -1/135 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 -1/135 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 -1/135 (pow.f64 x 5)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 -1/135 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 5/18144 (pow.f64 x 7)) (.f64 -1/135 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 5/18144 (pow.f64 x 7) (*.f64 -1/135 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 -1/135 (pow.f64 x 5) (*.f64 5/18144 (pow.f64 x 7)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (fma.f64 5/18144 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 5/18144 (pow.f64 x 7)))))
(.f64 4/9 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x))
(.f64 4/9 (.f64 x (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 x (.f64 4/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 x 4/9))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(fma.f64 4/9 (.f64 x (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x)))
(fma.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 4/9)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (*.f64 x 4/9) (/.f64 8/3 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (fma.f64 x 4/9 (/.f64 8/3 x)))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(fma.f64 4/9 (.f64 x (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x)))
(fma.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 4/9)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (*.f64 x 4/9) (/.f64 8/3 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (fma.f64 x 4/9 (/.f64 8/3 x)))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(fma.f64 4/9 (.f64 x (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x)))
(fma.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 4/9)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (*.f64 x 4/9) (/.f64 8/3 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (fma.f64 x 4/9 (/.f64 8/3 x)))
(.f64 4/9 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x))
(.f64 4/9 (.f64 x (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 x (.f64 4/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 x 4/9))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(fma.f64 4/9 (.f64 x (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x)))
(fma.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 4/9)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (*.f64 x 4/9) (/.f64 8/3 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (fma.f64 x 4/9 (/.f64 8/3 x)))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(fma.f64 4/9 (.f64 x (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x)))
(fma.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 4/9)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (*.f64 x 4/9) (/.f64 8/3 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (fma.f64 x 4/9 (/.f64 8/3 x)))
(+.f64 (.f64 4/9 (.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) x)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) x)))
(fma.f64 4/9 (.f64 x (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x)))
(fma.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (.f64 x 4/9)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (+.f64 (*.f64 x 4/9) (/.f64 8/3 x)))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (fma.f64 x 4/9 (/.f64 8/3 x)))
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 8/3 (sin.f64 x))
✓	0.6b	(cbrt.f64 (sin.f64 (*.f64 x 1/2)))
✓	0.8b	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
✓	15.8b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 6) (/.f64 8/3 (sin.f64 x)))

Compiler

Compiled 42 to 31 computations (26.2% saved)

series22.0ms (0.2%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
5.0ms	x	@	inf	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
2.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 6) (/.f64 8/3 (sin.f64 x)))
2.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 6) (/.f64 8/3 (sin.f64 x)))

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`log-prod_binary64`
398×	`exp-prod_binary64`
295×	`pow2_binary64`
283×	`pow-prod-down_binary64`
208×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	253	34
2	2907	34

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 6) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
(cbrt.f64 (sin.f64 (*.f64 x 1/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 12) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 5) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (sin.f64 (*.f64 x 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1/3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 1/6) (pow.f64 (sin.f64 (*.f64 x 1/2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x 1/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 1) 1))))))

simplify158.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
459×	`associate-l_binary64`
439×	`fma-def_binary64`
357×	`cube-prod_binary64`
346×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	354
1	89	330
2	186	330
3	457	330
4	893	330
5	2300	330
6	4262	330
7	5015	330
8	5261	330
9	5612	330
10	6126	330
11	6863	330
12	7794	330

Stop Event

1×	node limit

Counts

128 → 113

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/18) 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 1/180 (pow.f64 x 5)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 17/30240 (pow.f64 x 7))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (.f64 1/2 x)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(cbrt.f64 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(cbrt.f64 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(cbrt.f64 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(cbrt.f64 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(cbrt.f64 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(cbrt.f64 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(cbrt.f64 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 1/3)
(cbrt.f64 (sin.f64 (*.f64 x 1/2)))

eval389.0ms (4.5%)

Compiler: Compiled 14442 to 11236 computations (22.2% saved)

prune160.0ms (1.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	723	19	742
Fresh	18	4	22
Picked	1	0	1
Done	3	1	4
Total	745	24	769

Error

Counts

769 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.6b	(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))
	31.4b	(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 (sin.f64 x) 4/3)))
▶	46.6b	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))))
	31.4b	(/.f64 (+.f64 8/3 (.f64 (neg.f64 (cos.f64 x)) 8/3)) (.f64 2 (sin.f64 x)))
	61.5b	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
	31.4b	(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))
▶	31.3b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
	0.5b	(/.f64 8/3 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
	31.1b	(log.f64 (exp.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
	28.3b	(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (.f64 (sqrt.f64 8/3) 1/2))
	31.6b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3)) 3) (.f64 2 (sin.f64 x)))
	47.7b	(fabs.f64 (*.f64 2/3 x))
	0.4b	(pow.f64 (/.f64 1 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) -1)
	15.9b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
	46.1b	(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 (sin.f64 x)))
	31.3b	(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
✓	30.4b	(*.f64 2/3 x)
	44.6b	(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))) 3)) 1/3))
	44.5b	(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3) 1/3)
▶	31.0b	(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
	31.3b	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
	46.0b	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
▶	0.3b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
	48.9b	(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)

Compiler

Compiled 548 to 463 computations (15.5% saved)

localize19.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
2.0ms	x	@	-inf	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
1.0ms	x	@	0	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`pow1_binary64`
634×	`add-log-exp_binary64`
634×	`log1p-expm1-u_binary64`
634×	`expm1-log1p-u_binary64`
624×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	151	9
2	1718	9

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))))

simplify177.0ms (2%)

Algorithm

1×	egg-herbie

Rules

675×	`sqr-pow_binary64`
672×	`cube-prod_binary64`
624×	`unswap-sqr_binary64`
624×	`fabs-mul_binary64`
439×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	194
1	67	194
2	144	194
3	359	194
4	640	194
5	1377	194
6	1999	194
7	2948	194
8	3101	194
9	3347	194
10	3662	194
11	4143	194
12	4822	194
13	5716	194
14	6362	194
15	6873	194
16	7274	194
17	7659	194
18	7871	194

Stop Event

1×	node limit

Counts

25 → 22

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/18) 2/3))
(.f64 x (fma.f64 1/18 (.f64 x x) 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 1/180 (pow.f64 x 5)))
(fma.f64 x (fma.f64 1/18 (.f64 x x) 2/3) (.f64 1/180 (pow.f64 x 5)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 1/18 (.f64 x x) 2/3) (fma.f64 1/180 (pow.f64 x 5) (.f64 17/30240 (pow.f64 x 7))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 17/30240 (pow.f64 x 7))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))
	0.3b	(*.f64 4/9 x)
	0.4b	(*.f64 8/3 (/.f64 1 x))
✓	15.7b	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series6.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))))
1.0ms	x	@	0	(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))
1.0ms	x	@	inf	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))))
1.0ms	x	@	-inf	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))))
0.0ms	x	@	inf	(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))

rewrite118.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
387×	`fma-def_binary64`
340×	`pow2_binary64`
239×	`pow1/3_binary64`
233×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	286	25
2	3691	25

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

Inputs
(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))))
(+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x 1/4) (*.f64 x (fma.f64 x 4/9 (/.f64 8/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (*.f64 x 4/9))) (*.f64 x (*.f64 (*.f64 x 1/4) (/.f64 8/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (/.f64 8/3 x))) (*.f64 x (*.f64 (*.f64 x 1/4) (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (*.f64 x 4/9))) 1) (*.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (/.f64 8/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/4)) (fma.f64 x 4/9 (/.f64 8/3 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/4)) (fma.f64 x 4/9 (/.f64 8/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/4)) (fma.f64 x 4/9 (/.f64 8/3 x))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 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(fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 x 4/9)) (pow.f64 (*.f64 x 4/9) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 x 4/9) (/.f64 8/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 x 4/9)) (pow.f64 (*.f64 x 4/9) 2)) (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x 4/9) (/.f64 8/3 x)) (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)) (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 x 4/9)) (pow.f64 (*.f64 x 4/9) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)) (fma.f64 64/9 (pow.f64 x -2) (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 4/9 (*.f64 x (/.f64 8/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2))) (-.f64 (*.f64 x 4/9) (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729))) (neg.f64 (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 x 4/9)) (pow.f64 (*.f64 x 4/9) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2)))) (neg.f64 (-.f64 (*.f64 x 4/9) (/.f64 8/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 64/9 (pow.f64 x -2)) (pow.f64 (*.f64 x 4/9) 2)) (-.f64 (/.f64 8/3 x) (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 4/9 (/.f64 8/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 4/9 (/.f64 8/3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 4/9 (/.f64 8/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 4/9 (/.f64 8/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 4/9 (/.f64 8/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 x 4/9)) (pow.f64 (*.f64 x 4/9) 2)) (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x 4/9) (/.f64 8/3 x)) (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 4/9 (/.f64 8/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 4/9 (/.f64 8/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 4/9 (/.f64 8/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 4/9))) (exp.f64 (/.f64 8/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4/9) x) (+.f64 1 (expm1.f64 (/.f64 8/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 4/9))) (+.f64 1 (expm1.f64 (/.f64 8/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 x))) (pow.f64 (exp.f64 4/9) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 8/3 x)) (+.f64 1 (expm1.f64 (*.f64 x 4/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 x))) (+.f64 1 (expm1.f64 (*.f64 x 4/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 4/9 (/.f64 8/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 4/9 (/.f64 8/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 4/9 (/.f64 8/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 4/9 (/.f64 8/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 4/9 (/.f64 8/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 4/9 (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4/9 x (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 4/9) 1 (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 8/3 (/.f64 1 x) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 4/9) (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 8/3 x) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 8/3 (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 8/3 x) 1 (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 8/3 x)) (cbrt.f64 (*.f64 64/9 (pow.f64 x -2))) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 x -2))) (cbrt.f64 (/.f64 8/3 x)) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 4/9) (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 8/3) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 4/9)) (pow.f64 (cbrt.f64 (*.f64 x 4/9)) 2) (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 4/9)) 2) (cbrt.f64 (*.f64 x 4/9)) (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 8/3 x)) (sqrt.f64 (/.f64 8/3 x)) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 4/9) (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 8/3) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 4/9)) (sqrt.f64 (*.f64 x 4/9)) (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 8/3 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 x 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4/9 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 8/3 x))))))

simplify197.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
451×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	129
1	26	129
2	46	129
3	87	129
4	153	129
5	376	129
6	1287	129
7	1998	129
8	2085	129
9	2218	129
10	2376	129
11	2618	129
12	2940	129
13	3363	129
14	3863	129
15	4465	129
16	5185	129
17	5504	129
18	5788	129
19	6010	129
20	6190	129
21	6274	129
22	7214	129

Stop Event

1×	node limit

Counts

157 → 149

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(*.f64 1/9 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(*.f64 1/9 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(/.f64 8/3 x)
(*.f64 4/9 x)
(*.f64 4/9 x)

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(*.f64 1/9 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(*.f64 1/9 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(/.f64 8/3 x)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 2/3 x)
✓	0.6b	(cbrt.f64 (*.f64 2/3 x))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series12.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
2.0ms	x	@	0	(cbrt.f64 (*.f64 2/3 x))
1.0ms	x	@	-inf	(cbrt.f64 (*.f64 2/3 x))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
516×	`add-sqr-sqrt_binary64`
495×	`add-log-exp_binary64`
495×	`log1p-expm1-u_binary64`
495×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	1397	10

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(cbrt.f64 (*.f64 2/3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2/3 x)) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (cbrt.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2/3 x) 1/6) (*.f64 (pow.f64 (*.f64 2/3 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2/3 x)) (sqrt.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) 2) 3) (cbrt.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2/3) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 2/3 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 2/3 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) 1) (cbrt.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (cbrt.f64 2/3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (pow.f64 (*.f64 2/3 x) 1/6)) (pow.f64 (*.f64 2/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 2/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2/3 x) 1/6) (pow.f64 (*.f64 2/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 2/3 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 2/3 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 2/3 x))))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

49 → 49

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 x))
✓	0.1b	(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
✓	0.2b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
	0.8b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (sin.f64 x))
1.0ms	x	@	-inf	(/.f64 1 (sin.f64 x))
0.0ms	x	@	-inf	(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
0.0ms	x	@	inf	(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
0.0ms	x	@	0	(/.f64 1 (sin.f64 x))

rewrite99.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
387×	`exp-prod_binary64`
311×	`pow-prod-down_binary64`
275×	`pow2_binary64`
193×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	226	29
2	3039	24

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(/.f64 1 (sin.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 3/4 (sin.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 3/4 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 3/4 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sin.f64 x)) (/.f64 3/4 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 3/4 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 3/4 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (/.f64 x 2)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 -3/4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (*.f64 3/4 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -1) (*.f64 -3/4 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (neg.f64 (sin.f64 x)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) -3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) -1) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x)))) -3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2) 9/16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 3/4 (-.f64 1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3/4 (sin.f64 x)) (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 2)) (cbrt.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))) (sqrt.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2) 9/16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (neg.f64 (*.f64 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 4/3 (*.f64 (cos.f64 x) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (*.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (*.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 2)) (cbrt.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))) (sqrt.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (sin.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (sin.f64 x))))) (sqrt.f64 (neg.f64 (log.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1) 1))))))

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

795×	`fma-def_binary64`
742×	`distribute-lft-out_binary64`
725×	`distribute-rgt-out_binary64`
652×	`associate-l_binary64`
528×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	321
1	157	321
2	371	321
3	1092	305
4	4202	305
5	6643	305
6	7307	305

Stop Event

1×	node limit

Counts

175 → 172

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/18) 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 1/18 (pow.f64 x 3)))))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (fma.f64 1/180 (pow.f64 x 5) (.f64 17/30240 (pow.f64 x 7))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (.f64 2/3 (.f64 x x)))
(fma.f64 2/3 (.f64 x x) (.f64 -1/18 (pow.f64 x 4)))
(fma.f64 x (.f64 2/3 x) (.f64 -1/18 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/18) 2/3)))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (.f64 1/540 (pow.f64 x 6))))
(fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (.f64 1/540 (pow.f64 x 6))))
(fma.f64 2/3 (.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/18 (pow.f64 x 4))))
(+.f64 (.f64 -1/18 (pow.f64 x 4)) (+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 (.f64 -1/30240 (pow.f64 x 8)) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/30240 (pow.f64 x 8)))))
(fma.f64 2/3 (.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 6) (.f64 -1/30240 (pow.f64 x 8)))))
(fma.f64 2/3 (.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (fma.f64 -1/18 (pow.f64 x 4) (.f64 -1/30240 (pow.f64 x 8)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 x 1/6 (/.f64 1 x))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 3) 7/360 (/.f64 1 x)))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(fma.f64 1/6 x (fma.f64 31/15120 (pow.f64 x 5) (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 5) 31/15120 (fma.f64 (pow.f64 x 3) 7/360 (/.f64 1 x))))
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 3) 7/360 (fma.f64 (pow.f64 x 5) 31/15120 (/.f64 1 x))))
(fma.f64 x (fma.f64 x (*.f64 x 7/360) 1/6) (fma.f64 31/15120 (pow.f64 x 5) (/.f64 1 x)))

localize38.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓	0.5b	(pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3)
✓	21.5b	(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))

Compiler

Compiled 35 to 29 computations (17.1% saved)

series12.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))
2.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))
2.0ms	x	@	inf	(pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3)
2.0ms	x	@	-inf	(pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`pow1_binary64`
799×	`add-log-exp_binary64`
798×	`log1p-expm1-u_binary64`
798×	`expm1-log1p-u_binary64`
783×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	221	30
2	2260	30

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))
(pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2) 1/3) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 64/27 1/3) (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 4/3 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 64/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3/2) (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) 3) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2) 4/3) (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2) (tan.f64 (*.f64 x 1/2))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2) 1) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 64/27) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))))

simplify162.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1715×	`fma-def_binary64`
821×	`unswap-sqr_binary64`
665×	`associate-/r/_binary64`
386×	`associate-l_binary64`
328×	`associate-r_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	67	708
1	177	698
2	497	682
3	1601	656
4	4561	656
5	5686	656
6	6122	656
7	7410	656
8	7625	656
9	7931	654

Stop Event

1×	node limit

Counts

102 → 84

Calls

Call 1

Inputs
(.f64 1/2 (.f64 x (cbrt.f64 64/27)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x 3) (cbrt.f64 64/27))) (.f64 1/2 (.f64 x (cbrt.f64 64/27))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x 3) (cbrt.f64 64/27))) (+.f64 (.f64 1/240 (.f64 (pow.f64 x 5) (cbrt.f64 64/27))) (.f64 1/2 (.f64 x (cbrt.f64 64/27)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x 3) (cbrt.f64 64/27))) (+.f64 (.f64 17/40320 (.f64 (pow.f64 x 7) (cbrt.f64 64/27))) (+.f64 (.f64 1/240 (.f64 (pow.f64 x 5) (cbrt.f64 64/27))) (.f64 1/2 (.f64 x (cbrt.f64 64/27))))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(*.f64 8/27 (pow.f64 x 3))
(+.f64 (.f64 2/27 (pow.f64 x 5)) (.f64 8/27 (pow.f64 x 3)))
(+.f64 (.f64 2/27 (pow.f64 x 5)) (+.f64 (.f64 11/810 (pow.f64 x 7)) (*.f64 8/27 (pow.f64 x 3))))
(+.f64 (.f64 2/27 (pow.f64 x 5)) (+.f64 (.f64 11/5103 (pow.f64 x 9)) (+.f64 (.f64 11/810 (pow.f64 x 7)) (.f64 8/27 (pow.f64 x 3)))))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))

Outputs
(.f64 1/2 (.f64 x (cbrt.f64 64/27)))
(.f64 (cbrt.f64 64/27) (.f64 1/2 x))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x 3) (cbrt.f64 64/27))) (.f64 1/2 (.f64 x (cbrt.f64 64/27))))
(fma.f64 1/24 (.f64 (cbrt.f64 64/27) (pow.f64 x 3)) (.f64 1/2 (*.f64 x (cbrt.f64 64/27))))
(.f64 (cbrt.f64 64/27) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(.f64 (cbrt.f64 64/27) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3))))
(.f64 x (.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (cbrt.f64 64/27)))
(.f64 x (.f64 (cbrt.f64 64/27) (fma.f64 1/24 (*.f64 x x) 1/2)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x 3) (cbrt.f64 64/27))) (+.f64 (.f64 1/240 (.f64 (pow.f64 x 5) (cbrt.f64 64/27))) (.f64 1/2 (.f64 x (cbrt.f64 64/27)))))
(fma.f64 1/24 (.f64 (cbrt.f64 64/27) (pow.f64 x 3)) (fma.f64 1/240 (.f64 (cbrt.f64 64/27) (pow.f64 x 5)) (.f64 1/2 (.f64 x (cbrt.f64 64/27)))))
(fma.f64 1/24 (.f64 (cbrt.f64 64/27) (pow.f64 x 3)) (.f64 (cbrt.f64 64/27) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/2 x))))
(.f64 (cbrt.f64 64/27) (+.f64 (.f64 1/2 x) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5)))))
(.f64 (cbrt.f64 64/27) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x 3) (cbrt.f64 64/27))) (+.f64 (.f64 17/40320 (.f64 (pow.f64 x 7) (cbrt.f64 64/27))) (+.f64 (.f64 1/240 (.f64 (pow.f64 x 5) (cbrt.f64 64/27))) (.f64 1/2 (.f64 x (cbrt.f64 64/27))))))
(fma.f64 1/24 (.f64 (cbrt.f64 64/27) (pow.f64 x 3)) (fma.f64 17/40320 (.f64 (cbrt.f64 64/27) (pow.f64 x 7)) (fma.f64 1/240 (.f64 (cbrt.f64 64/27) (pow.f64 x 5)) (.f64 1/2 (*.f64 x (cbrt.f64 64/27))))))
(+.f64 (.f64 (cbrt.f64 64/27) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/2 x))) (.f64 (cbrt.f64 64/27) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(.f64 (cbrt.f64 64/27) (+.f64 (fma.f64 17/40320 (pow.f64 x 7) (.f64 1/240 (pow.f64 x 5))) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(.f64 (cbrt.f64 64/27) (+.f64 (.f64 1/2 x) (fma.f64 1/24 (pow.f64 x 3) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/240 (pow.f64 x 5))))))
(.f64 (cbrt.f64 64/27) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (fma.f64 17/40320 (pow.f64 x 7) (.f64 1/240 (pow.f64 x 5))))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (cbrt.f64 64/27) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (cbrt.f64 64/27))
(.f64 (cbrt.f64 64/27) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (cbrt.f64 64/27) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (cbrt.f64 64/27))
(.f64 (cbrt.f64 64/27) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (cbrt.f64 64/27) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (cbrt.f64 64/27))
(.f64 (cbrt.f64 64/27) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (cbrt.f64 64/27) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (cbrt.f64 64/27))
(.f64 (cbrt.f64 64/27) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (cbrt.f64 64/27) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (cbrt.f64 64/27))
(.f64 (cbrt.f64 64/27) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (cbrt.f64 64/27) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (cbrt.f64 64/27))
(.f64 (cbrt.f64 64/27) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (cbrt.f64 64/27) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (cbrt.f64 64/27))
(.f64 (cbrt.f64 64/27) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (cbrt.f64 64/27) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (cbrt.f64 64/27))
(.f64 (cbrt.f64 64/27) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 8/27)
(+.f64 (.f64 2/27 (pow.f64 x 5)) (.f64 8/27 (pow.f64 x 3)))
(fma.f64 2/27 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 8/27))
(fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 x 5) 2/27))
(+.f64 (.f64 2/27 (pow.f64 x 5)) (+.f64 (.f64 11/810 (pow.f64 x 7)) (*.f64 8/27 (pow.f64 x 3))))
(fma.f64 2/27 (pow.f64 x 5) (fma.f64 11/810 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 8/27)))
(fma.f64 (pow.f64 x 5) 2/27 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 x 7) 11/810)))
(fma.f64 (pow.f64 x 3) 8/27 (fma.f64 (pow.f64 x 5) 2/27 (*.f64 (pow.f64 x 7) 11/810)))
(+.f64 (.f64 2/27 (pow.f64 x 5)) (+.f64 (.f64 11/5103 (pow.f64 x 9)) (+.f64 (.f64 11/810 (pow.f64 x 7)) (.f64 8/27 (pow.f64 x 3)))))
(fma.f64 2/27 (pow.f64 x 5) (fma.f64 11/5103 (pow.f64 x 9) (fma.f64 11/810 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 8/27))))
(fma.f64 (pow.f64 x 5) 2/27 (fma.f64 11/5103 (pow.f64 x 9) (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 x 7) 11/810))))
(fma.f64 (pow.f64 x 5) 2/27 (fma.f64 (pow.f64 x 3) 8/27 (fma.f64 (pow.f64 x 7) 11/810 (*.f64 11/5103 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 8/27 (fma.f64 (pow.f64 x 5) 2/27 (fma.f64 (pow.f64 x 7) 11/810 (*.f64 11/5103 (pow.f64 x 9)))))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(/.f64 (.f64 64/27 (pow.f64 (sin.f64 (.f64 1/2 x)) 3)) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 3) 64/27))
(.f64 64/27 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 3))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(/.f64 (.f64 64/27 (pow.f64 (sin.f64 (.f64 1/2 x)) 3)) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 3) 64/27))
(.f64 64/27 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 3))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(/.f64 (.f64 64/27 (pow.f64 (sin.f64 (.f64 1/2 x)) 3)) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 3) 64/27))
(.f64 64/27 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 3))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(/.f64 (.f64 64/27 (pow.f64 (sin.f64 (.f64 1/2 x)) 3)) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 3) 64/27))
(.f64 64/27 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 3))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(/.f64 (.f64 64/27 (pow.f64 (sin.f64 (.f64 1/2 x)) 3)) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 3) 64/27))
(.f64 64/27 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 3))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(/.f64 (.f64 64/27 (pow.f64 (sin.f64 (.f64 1/2 x)) 3)) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 3) 64/27))
(.f64 64/27 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 3))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(/.f64 (.f64 64/27 (pow.f64 (sin.f64 (.f64 1/2 x)) 3)) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 3) 64/27))
(.f64 64/27 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 3))
(.f64 64/27 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(/.f64 (.f64 64/27 (pow.f64 (sin.f64 (.f64 1/2 x)) 3)) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3))
(/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 3) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 x)) 3) 64/27))
(.f64 64/27 (pow.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 3))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/18))
(.f64 x (fma.f64 x (.f64 x 1/18) 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) 1/18 (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 (pow.f64 x 5) 1/180))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (fma.f64 (pow.f64 x 7) 17/30240 (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (fma.f64 (pow.f64 x 5) 1/180 (.f64 (pow.f64 x 7) 17/30240)))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 4/3) (cos.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 4/3) (cos.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 4/3) (cos.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 4/3) (cos.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 4/3) (cos.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 4/3) (cos.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 4/3) (cos.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 x)) 4/3) (cos.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))

eval346.0ms (4%)

Compiler: Compiled 9190 to 6840 computations (25.6% saved)

prune96.0ms (1.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	586	9	595
Fresh	15	3	18
Picked	1	0	1
Done	2	3	5
Total	604	15	619

Error

Counts

619 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
▶	46.3b	(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 x))
	61.5b	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
✓	31.3b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
▶	47.7b	(fabs.f64 (*.f64 2/3 x))
	44.5b	(pow.f64 (.f64 64/27 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)) 1/3)
	31.3b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))
✓	30.4b	(*.f64 2/3 x)
▶	46.5b	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))))
▶	31.3b	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
	31.4b	(/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sin.f64 x))
	46.6b	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 8/3 x)))
	0.3b	(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
✓	0.3b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
▶	0.1b	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)

Compiler

Compiled 289 to 235 computations (18.7% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
0.0ms	x	@	inf	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
0.0ms	x	@	-inf	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`pow1_binary64`
690×	`add-log-exp_binary64`
690×	`log1p-expm1-u_binary64`
690×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	159	9
2	1869	9

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))))

simplify158.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

675×	`sqr-pow_binary64`
672×	`cube-prod_binary64`
624×	`unswap-sqr_binary64`
624×	`fabs-mul_binary64`
439×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	194
1	67	194
2	144	194
3	359	194
4	640	194
5	1377	194
6	1999	194
7	2948	194
8	3101	194
9	3347	194
10	3662	194
11	4143	194
12	4822	194
13	5716	194
14	6362	194
15	6873	194
16	7274	194
17	7659	194
18	7871	194

Stop Event

1×	node limit

Counts

35 → 32

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/18) 2/3))
(.f64 x (fma.f64 1/18 (.f64 x x) 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 1/180 (pow.f64 x 5)))
(fma.f64 x (fma.f64 1/18 (.f64 x x) 2/3) (.f64 1/180 (pow.f64 x 5)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 1/18 (.f64 x x) 2/3) (fma.f64 1/180 (pow.f64 x 5) (.f64 17/30240 (pow.f64 x 7))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 17/30240 (pow.f64 x 7))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 4/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 8/3 x)
✓	32.0b	(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 x))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 x))
0.0ms	x	@	inf	(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 x))
0.0ms	x	@	-inf	(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 x))
0.0ms	x	@	inf	(/.f64 8/3 x)
0.0ms	x	@	0	(/.f64 8/3 x)

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	14
2	2114	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 x))
(/.f64 8/3 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 (*.f64 x x) 2/3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 x 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (*.f64 x x) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 2/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x x) 2/3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 (*.f64 x (*.f64 x 1/4))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 x 1/4)) -8/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (/.f64 8/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x 1/4)) 3) (pow.f64 (/.f64 8/3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 x) 3) (pow.f64 (*.f64 x (*.f64 x 1/4)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 x x) 2/3) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 8/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/3 x)) (pow.f64 (cbrt.f64 (/.f64 8/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 x)) 2) (cbrt.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 8/3 x)) (sqrt.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 x)))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

54 → 43

Calls

Call 1

Inputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)

Outputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 x 8/3)
✓	0.3b	(/.f64 1 (/.f64 x 8/3))
	0.3b	(*.f64 4/9 x)
✓	15.7b	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(/.f64 x 8/3)
0.0ms	x	@	0	(/.f64 x 8/3)
0.0ms	x	@	inf	(/.f64 x 8/3)
0.0ms	x	@	0	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))))
0.0ms	x	@	inf	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))))

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`log-prod_binary64`
359×	`fma-def_binary64`
348×	`pow2_binary64`
245×	`pow1/3_binary64`
239×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	294	25
2	3887	25

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs
(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))))
(/.f64 1 (/.f64 x 8/3))
(/.f64 x 8/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (*.f64 1/4 (fma.f64 x 4/9 (/.f64 8/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/4)) (/.f64 8/3 x)) (*.f64 (*.f64 (*.f64 x 4/9) x) (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x 4/9) x) (*.f64 x 1/4)) (*.f64 (*.f64 x (*.f64 x 1/4)) (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 4/9) x) (*.f64 x 1/4)) 1) (*.f64 (*.f64 (*.f64 x (*.f64 x 1/4)) (/.f64 8/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/4)) (fma.f64 x 4/9 (/.f64 8/3 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/4)) (fma.f64 x 4/9 (/.f64 8/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/4)) (fma.f64 x 4/9 (/.f64 8/3 x))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 8/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/3 x)) (cbrt.f64 (pow.f64 (*.f64 x 3/8) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 3/8) -2)) (cbrt.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 8/3 x)) (sqrt.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 3/8)) 2)) (cbrt.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) -8/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3/8) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3/8) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 x -3/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 3/8) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3/8) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 3/8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 3/8)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3/8))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 3/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 3/8)) (pow.f64 (cbrt.f64 (*.f64 x 3/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/8)) 2) (cbrt.f64 (*.f64 x 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3/8)) (sqrt.f64 (*.f64 x 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -3/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/8 x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3/8) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3/8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3/8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 8/3 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 3/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3/8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 3/8)) 1))))))

simplify180.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
473×	`fabs-mul_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	213
1	26	213
2	46	213
3	86	213
4	152	213
5	369	213
6	1228	213
7	1933	213
8	2020	213
9	2153	213
10	2311	213
11	2552	213
12	2874	213
13	3297	213
14	3798	213
15	4400	213
16	5122	213
17	5443	213
18	5727	213
19	5949	213
20	6129	213
21	6213	213
22	7153	213

Stop Event

1×	node limit

Counts

176 → 145

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(*.f64 1/9 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(*.f64 1/9 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(*.f64 3/8 x)
(*.f64 3/8 x)
(*.f64 3/8 x)
(*.f64 3/8 x)
(*.f64 3/8 x)
(*.f64 3/8 x)
(*.f64 3/8 x)
(*.f64 3/8 x)
(*.f64 3/8 x)
(*.f64 3/8 x)
(*.f64 3/8 x)
(*.f64 3/8 x)

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(*.f64 1/9 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(*.f64 1/9 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(+.f64 (.f64 2/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 2/3))
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)
(*.f64 3/8 x)
(*.f64 x 3/8)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(*.f64 2/3 x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	0.2b	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
	0.8b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
1.0ms	x	@	0	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
0.0ms	x	@	inf	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
0.0ms	x	@	-inf	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
0.0ms	x	@	inf	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

rewrite108.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`unpow-prod-down_binary64`
456×	`log-prod_binary64`
252×	`pow2_binary64`
238×	`pow-prod-down_binary64`
226×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	195	15
2	2574	15

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 4/3 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 4/3) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (neg.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 64/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (*.f64 4/3 (-.f64 1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 64/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))))))

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simplify137.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-def_binary64`
672×	`sqr-pow_binary64`
624×	`unswap-sqr_binary64`
508×	`associate-l_binary64`
438×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	116
1	91	116
2	222	116
3	589	116
4	1101	116
5	2352	116
6	3194	116
7	4143	116
8	4308	116
9	4555	116
10	4870	116
11	5351	116
12	6021	116
13	6894	116
14	7534	116

Stop Event

1×	node limit

Counts

146 → 153

Calls

Call 1

Inputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))

Outputs
(*.f64 2/3 x)
(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/18) 2/3))
(.f64 x (fma.f64 1/18 (.f64 x x) 2/3))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (.f64 1/180 (pow.f64 x 5)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 x (fma.f64 1/18 (.f64 x x) 2/3) (.f64 1/180 (pow.f64 x 5)))
(+.f64 (.f64 1/18 (pow.f64 x 3)) (+.f64 (.f64 17/30240 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 2/3 x (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 1/18 (pow.f64 x 3)))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/24))
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))
(.f64 x (fma.f64 x (.f64 x 1/24) 1/2))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 3) 1/24))
(.f64 x (fma.f64 1/24 (.f64 x x) 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 5) 1/240)))
(fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2)))
(fma.f64 x (fma.f64 x (.f64 x 1/24) 1/2) (.f64 (pow.f64 x 5) 1/240))
(fma.f64 (pow.f64 x 5) 1/240 (fma.f64 x 1/2 (*.f64 (pow.f64 x 3) 1/24)))
(fma.f64 x (fma.f64 1/24 (.f64 x x) 1/2) (.f64 (pow.f64 x 5) 1/240))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/24))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 7) 17/40320))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (pow.f64 x 5) 1/240 (*.f64 (pow.f64 x 7) 17/40320))))
(fma.f64 x (fma.f64 x (.f64 x 1/24) 1/2) (fma.f64 (pow.f64 x 5) 1/240 (.f64 (pow.f64 x 7) 17/40320)))
(fma.f64 x (fma.f64 1/24 (.f64 x x) 1/2) (fma.f64 (pow.f64 x 5) 1/240 (.f64 (pow.f64 x 7) 17/40320)))

eval185.0ms (2.1%)

Compiler: Compiled 8423 to 5702 computations (32.3% saved)

prune79.0ms (0.9%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	464	6	470
Fresh	2	5	7
Picked	0	1	1
Done	1	6	7
Total	467	18	485

Error

Counts

485 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
✓	46.3b	(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 x))
	46.4b	(.f64 (.f64 x (*.f64 x 1/4)) (-.f64 (+.f64 1 (/.f64 8/3 x)) 1))
	44.5b	(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27) 1/3)
	46.2b	(/.f64 (.f64 (.f64 x x) 2/3) x)
✓	31.3b	(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
	46.2b	(/.f64 1 (/.f64 x (.f64 (.f64 x x) 2/3)))
✓	47.7b	(fabs.f64 (*.f64 2/3 x))
	46.3b	(.f64 (.f64 x (.f64 x 1/4)) (.f64 (/.f64 1 x) 8/3))
	31.3b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))
✓	30.4b	(*.f64 2/3 x)
✓	31.3b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
	46.2b	(/.f64 (.f64 x (.f64 x 1/4)) (*.f64 x 3/8))
	31.4b	(/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sin.f64 x))
	46.6b	(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 8/3 x)))
	0.3b	(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
✓	0.3b	(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓	0.1b	(/.f64 (tan.f64 (/.f64 x 2)) 3/4)

Compiler

Compiled 172 to 135 computations (21.5% saved)

regimes85.0ms (1%)

Counts

63 → 1

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 (.f64 (.f64 x x) 2/3) x)
(/.f64 1 (/.f64 x (.f64 (.f64 x x) 2/3)))
(/.f64 (.f64 x (.f64 x 1/4)) (*.f64 x 3/8))
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 x))
(.f64 (.f64 x (.f64 x 1/4)) (.f64 (/.f64 1 x) 8/3))
(.f64 (.f64 x (*.f64 x 1/4)) (-.f64 (+.f64 1 (/.f64 8/3 x)) 1))
(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 8/3 x)))
(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))))
(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
(fabs.f64 (*.f64 2/3 x))
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
(.f64 x (fma.f64 1/18 (.f64 x x) 2/3))
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))
(/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(pow.f64 (/.f64 1 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) -1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (/.f64 (sin.f64 x) 4/3)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (+.f64 8/3 (.f64 (neg.f64 (cos.f64 x)) 8/3)) (.f64 2 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(+.f64 0 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (+.f64 (.f64 4/9 x) (.f64 8/3 (/.f64 1 x))))
(log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(log.f64 (exp.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))
(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 64/27) 1/3)
(pow.f64 (.f64 64/27 (pow.f64 (tan.f64 (.f64 x 1/2)) 3)) 1/3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3) 1/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1)
(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (.f64 (sqrt.f64 8/3) 1/2))
(/.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(/.f64 8/3 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 4/3 (tan.f64 (/.f64 x 2))) 3)) 1/3))
(.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) (/.f64 8/3 (sin.f64 x)))
(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) 4) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 6) (/.f64 8/3 (sin.f64 x)))
(/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x))
(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6) 1/3) (/.f64 8/3 (sin.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3)) 3) (.f64 2 (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (pow.f64 (*.f64 (sin.f64 x) 3/8) -1))
(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x)))

Outputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)

Calls

2 calls:

34.0ms	x
28.0ms	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))`

Compiler

Compiled 740 to 549 computations (25.8% saved)

regimes11.0ms (0.1%)

Accuracy

Total -31.9b remaining (-104.9%)

Threshold costs -31.9b (-104.9%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 (.f64 (.f64 x x) 2/3) x)
(/.f64 1 (/.f64 x (.f64 (.f64 x x) 2/3)))
(/.f64 (.f64 x (.f64 x 1/4)) (*.f64 x 3/8))
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 x))
(.f64 (.f64 x (.f64 x 1/4)) (.f64 (/.f64 1 x) 8/3))
(.f64 (.f64 x (*.f64 x 1/4)) (-.f64 (+.f64 1 (/.f64 8/3 x)) 1))
(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 8/3 x)))
(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))))
(.f64 (.f64 x (.f64 x 1/4)) (+.f64 (.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
(fabs.f64 (*.f64 2/3 x))

Outputs
(*.f64 2/3 x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
30.4b	1	`x`

Compiler

Compiled 132 to 95 computations (28% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	10	13

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(*.f64 2/3 x)

Outputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(*.f64 2/3 x)
(*.f64 x 2/3)

Compiler

Compiled 11 to 9 computations (18.2% saved)

soundness11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`associate-/l*_binary64`
9×	`associate-/r/_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	20	22
2	31	22
3	44	22
4	52	22
5	61	22

Stop Event

1×

saturated

Compiler

Compiled 83 to 68 computations (18.1% saved)

end19.0ms (0.2%)

Compiler: Compiled 10 to 8 computations (20% saved)