Details

analyze334.0ms (3.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample2.9s (32%)

Results

1.4s	2094×	body	1024	valid
1.1s	5180×	body	256	valid
414.0ms	975×	body	512	valid
8.0ms	7×	body	2048	valid

Bogosity

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

15.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.3b	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))
▶	15.3b	(.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)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.4b	(/.f64 8/3 (sin.f64 x))
✓	15.1b	(.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

4 → 32

Calls

12 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))

rewrite83.0ms (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	35
1	220	35
2	2873	35

Stop Event

1×	node limit

Counts

4 → 130

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)))
(sin.f64 x)

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

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

813×	`distribute-rgt-out_binary64`
763×	`associate-r_binary64`
702×	`unswap-sqr_binary64`
570×	`distribute-lft-in_binary64`
339×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	431
1	184	431
2	450	431
3	1353	431
4	3191	431
5	6141	431

Stop Event

1×	node limit

Counts

162 → 162

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)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) 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 1/180 (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))))
(+.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))))
(.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)))
(+.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 (pow.f64 x 3) 7/135 (fma.f64 (pow.f64 x 5) 31/5670 (/.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)))
(fma.f64 -1/48 (pow.f64 x 4) (.f64 1/4 (.f64 x x)))
(+.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 -1/48 (pow.f64 x 4) (fma.f64 1/1440 (pow.f64 x 6) (.f64 1/4 (.f64 x x))))
(+.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 x (.f64 x 1/4) (fma.f64 -1/80640 (pow.f64 x 8) (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 -1/48 (pow.f64 x 4) (fma.f64 1/1440 (pow.f64 x 6) (.f64 1/4 (.f64 x x)))))
(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)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 3) -1/6 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(fma.f64 (pow.f64 x 7) -1/5040 (fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 3) -1/6 x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 7) -1/5040 x)))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.2b	(.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)))
✓	15.1b	(/.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	@	0	(.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	@	0	(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite85.0ms (0.9%)

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))))))) 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x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (.f64 8/3 (-.f64 1/2 (.f64 1/2 (cos.f64 x)))) (cbrt.f64 (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))) (pow.f64 (cbrt.f64 (sin.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 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1/2 (.f64 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Outputs

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

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

((#(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))))))

simplify70.0ms (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))

eval131.0ms (1.4%)

Compiler: Compiled 5788 to 4232 computations (26.9% saved)

prune76.0ms (0.8%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	308	27	335
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	310	27	337

Error

0.0b

Counts

337 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	15.3b	(/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))
	24.5b	(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6)) (/.f64 8/3 (sin.f64 x)))
	30.2b	(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))
▶	15.2b	(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
	32.8b	(pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
	30.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) 8/3) (.f64 2 (sin.f64 x)))
	30.2b	(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1)
	30.2b	(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) 3/8) 2))
▶	0.4b	(.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)))
	46.6b	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
	24.8b	(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6) 1/3) (/.f64 8/3 (sin.f64 x)))
	30.2b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) 8/3)))
	0.6b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
	15.9b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 3)))
▶	30.2b	(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
	0.4b	(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
	30.2b	(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
	21.9b	(/.f64 (sqrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sin.f64 x))
	46.6b	(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 (sin.f64 x)))
	32.2b	(+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 2/3 x))
	30.2b	(+.f64 0 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
	33.3b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
▶	31.5b	(*.f64 2/3 x)
	15.3b	(/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x))
	15.3b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
▶	15.3b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (*.f64 (/.f64 1 (sin.f64 x)) 8/3))
	30.2b	(.f64 (/.f64 1 (sin.f64 x)) (.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))

Compiler

Compiled 718 to 596 computations (17% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	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))
✓	0.2b	(.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)

series16.0ms (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)))
2.0ms	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	@	-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)))
1.0ms	x	@	inf	(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite118.0ms (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 (*.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 8/3) (*.f64 (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 8/3) (*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 8/3) (*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 8/3) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))) (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 2) (/.f64 1 (cbrt.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 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 -1 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (pow.f64 8/3 -1/2) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.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 (pow.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 -1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (neg.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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 (neg.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (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 8/3)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 8/3)) (*.f64 -1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 8/3)) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8/3) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) 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((#(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))))))

simplify59.0ms (0.6%)

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)))

localize3.0ms (0%)

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)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 2/3 x)
0.0ms	x	@	inf	(*.f64 2/3 x)
0.0ms	x	@	-inf	(*.f64 2/3 x)

rewrite48.0ms (0.5%)

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))))))

simplify10.0ms (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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	0.2b	(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
	0.4b	(/.f64 8/3 (sin.f64 x))
✓	1.5b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 37 to 22 computations (40.5% saved)

series4.0ms (0%)

Counts

3 → 20

Calls

9 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`pow1_binary64`
912×	`add-log-exp_binary64`
912×	`log1p-expm1-u_binary64`
912×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	191	23
2	2421	23

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

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

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

940×	`distribute-lft-out_binary64`
939×	`fma-def_binary64`
765×	`associate-/l/_binary64`
381×	`unswap-sqr_binary64`
342×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	252
1	145	250
2	344	248
3	1104	246
4	2876	246
5	4814	246
6	5723	246
7	6425	246

Stop Event

1×	node limit

Counts

108 → 113

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 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))

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 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.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 (.f64 x x) (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(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 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -1/40320 -1/24) (.f64 1/720 (pow.f64 x 6))))
(*.f64 4/3 x)
(*.f64 x 4/3)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 x 4/3 (*.f64 1/9 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) 1/9 4/3))
(.f64 x (fma.f64 x (.f64 x 1/9) 4/3))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 x 4/3 (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 x 4/3 (fma.f64 1/9 (pow.f64 x 3) (*.f64 1/90 (pow.f64 x 5))))
(fma.f64 1/90 (pow.f64 x 5) (.f64 x (fma.f64 (.f64 x x) 1/9 4/3)))
(fma.f64 x 4/3 (fma.f64 1/90 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 x 4/3 (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 17/15120 (pow.f64 x 7) (fma.f64 x 4/3 (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (.f64 x (fma.f64 (.f64 x x) 1/9 4/3))))
(fma.f64 1/9 (pow.f64 x 3) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 17/15120 (pow.f64 x 7) (*.f64 x 4/3))))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (tan.f64 (/.f64 x 2)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 (fma.f64 (.f64 x x) -1/2 1) (.f64 (pow.f64 x 4) 1/24))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 1/24 1))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 1/24 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/24) -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720)))
(+.f64 1 (fma.f64 (.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 6) -1/720 (fma.f64 (pow.f64 x 4) 1/24 1)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 1)))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.2b	(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓	0.3b	(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
✓	15.1b	(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))

Compiler

Compiled 40 to 29 computations (27.5% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
390×	`exp-prod_binary64`
276×	`pow2_binary64`
270×	`prod-exp_binary64`
247×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	231	40
2	2665	40

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-def_binary64`
753×	`distribute-lft-out_binary64`
717×	`associate-l_binary64`
713×	`distribute-rgt-out_binary64`
569×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	506
1	144	506
2	349	506
3	1068	506
4	4390	506
5	6940	506

Stop Event

1×	node limit

Counts

152 → 145

Calls

Call 1

Inputs
(*.f64 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.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 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 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 1/4 x)
(+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/4 x))
(fma.f64 1/48 (pow.f64 x 3) (*.f64 1/4 x))
(fma.f64 1/4 x (*.f64 1/48 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/48) 1/4))
(+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x)))
(fma.f64 1/4 x (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/48 (pow.f64 x 3))))
(fma.f64 x (fma.f64 x (.f64 x 1/48) 1/4) (.f64 1/480 (pow.f64 x 5)))
(+.f64 (.f64 17/80640 (pow.f64 x 7)) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/480 (pow.f64 x 5)) (.f64 1/4 x))))
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x))))
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/4 x (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/48 (pow.f64 x 3)))))
(fma.f64 1/480 (pow.f64 x 5) (fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/4 x (*.f64 1/48 (pow.f64 x 3)))))
(fma.f64 1/480 (pow.f64 x 5) (fma.f64 17/80640 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 x 1/48) 1/4))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.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 (pow.f64 x 3) 1/18 (*.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 (pow.f64 x 5) 1/180 (*.f64 x 2/3)))
(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 (pow.f64 x 5) 1/180 (*.f64 x 2/3))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (fma.f64 (pow.f64 x 7) 17/30240 (*.f64 x 2/3))))
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 5) 1/180 (fma.f64 (pow.f64 x 3) 1/18 (*.f64 (pow.f64 x 7) 17/30240))))
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 (pow.f64 x 7) 17/30240))))
(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.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 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.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 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.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 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.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 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.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 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.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 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.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 1/2 x)) 2) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.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 1/4 x) (.f64 -1/48 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x 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 (.f64 x x) (fma.f64 (.f64 x 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 1/4 (.f64 x x) (fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 -1/48 (pow.f64 x 4) (.f64 1/1440 (pow.f64 x 6)))))
(fma.f64 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (fma.f64 -1/48 (pow.f64 x 4) (.f64 -1/80640 (pow.f64 x 8)))))
(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)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 x))
	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓	0.4b	(*.f64 (/.f64 1 (sin.f64 x)) 8/3)
✓	15.1b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (*.f64 (/.f64 1 (sin.f64 x)) 8/3))

Compiler

Compiled 49 to 35 computations (28.6% saved)

series3.0ms (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	@	0	(/.f64 1 (sin.f64 x))
0.0ms	x	@	0	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (*.f64 (/.f64 1 (sin.f64 x)) 8/3))
0.0ms	x	@	inf	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (*.f64 (/.f64 1 (sin.f64 x)) 8/3))

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`prod-diff_binary64`
564×	`log-prod_binary64`
330×	`pow-prod-down_binary64`
300×	`pow2_binary64`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	253	29
2	3154	29

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

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

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

simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1107×	`fma-def_binary64`
673×	`associate-l_binary64`
440×	`sqr-pow_binary64`
432×	`associate-r_binary64`
359×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	340
1	141	340
2	333	340
3	859	340
4	1583	340
5	3409	340
6	4694	340
7	5317	340
8	5817	340
9	6259	340
10	6704	340
11	7698	340

Stop Event

1×	node limit

Counts

105 → 100

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 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.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))
(.f64 x (fma.f64 1/18 (.f64 x x) 2/3))
(.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 1/18 (.f64 x x) 2/3) (.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))))
(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 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.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 17/30240 (pow.f64 x 7) (.f64 x (fma.f64 1/18 (.f64 x x) 2/3))))
(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 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (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 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (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 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (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 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (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 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (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 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (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 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (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 (sin.f64 (.f64 x 1/2)) 2) (/.f64 8/3 (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)))
(+.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 (pow.f64 x 3) 7/135 (fma.f64 (pow.f64 x 5) 31/5670 (/.f64 8/3 x))))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.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)))
(fma.f64 (pow.f64 x 3) 7/360 (fma.f64 x 1/6 (/.f64 1 x)))
(fma.f64 x (fma.f64 7/360 (*.f64 x x) 1/6) (/.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 (pow.f64 x 5) 31/15120 (fma.f64 (pow.f64 x 3) 7/360 (fma.f64 x 1/6 (/.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))))

eval705.0ms (7.7%)

Compiler: Compiled 14443 to 11010 computations (23.8% saved)

prune207.0ms (2.2%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	749	16	765
Fresh	14	8	22
Picked	1	0	1
Done	1	3	4
Total	765	27	792

Error

Counts

792 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(/.f64 (+.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (cos.f64 x)))) 2)
	48.3b	(fabs.f64 (*.f64 2/3 x))
	28.8b	(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (.f64 (sqrt.f64 8/3) 1/2))
▶	30.2b	(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1)
▶	0.3b	(/.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 2)
	32.1b	(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
	30.2b	(/.f64 (*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)
	46.6b	(/.f64 (.f64 2/3 (.f64 x x)) (sin.f64 x))
	15.3b	(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (*.f64 (/.f64 1 (sin.f64 x)) 8/3))
	24.8b	(.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6) 1/3) (/.f64 8/3 (sin.f64 x)))
	0.5b	(/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))
	30.2b	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (sin.f64 x)) 2)
	0.4b	(.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (sin.f64 (.f64 x 1/2)))
▶	61.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
	0.5b	(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 8/3) (/.f64 1 (sin.f64 x)))))
▶	21.9b	(/.f64 (sqrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sin.f64 x))
	46.6b	(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 8/3 (sin.f64 x)))
	30.2b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)) 2)
	0.5b	(/.f64 8/3 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
	51.4b	(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
✓	31.5b	(*.f64 2/3 x)
	15.3b	(/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))
	15.3b	(/.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 2) (sin.f64 x))
✓	15.2b	(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))
▶	49.6b	(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
✓	30.2b	(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
	24.5b	(.f64 8/3 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 6)) (sin.f64 x)))

Compiler

Compiled 650 to 543 computations (16.5% saved)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 8/3 (tan.f64 (/.f64 x 2)))

Compiler

Compiled 25 to 20 computations (20% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(*.f64 8/3 (tan.f64 (/.f64 x 2)))
1.0ms	x	@	inf	(*.f64 8/3 (tan.f64 (/.f64 x 2)))
1.0ms	x	@	0	(*.f64 8/3 (tan.f64 (/.f64 x 2)))

rewrite51.0ms (0.6%)

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 8/3 (tan.f64 (/.f64 x 2)))

Outputs

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

simplify164.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	194
1	60	194
2	130	194
3	321	194
4	633	194
5	1372	194
6	1995	194
7	2944	194
8	3097	194
9	3344	194
10	3659	194
11	4140	194
12	4819	194
13	5713	194
14	6359	194
15	6866	194
16	7267	194
17	7648	194
18	7868	194

Stop Event

1×	node limit

Counts

25 → 22

Calls

Call 1

Inputs
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))

Outputs
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))
(.f64 x (fma.f64 1/9 (.f64 x x) 4/3))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 1/90 (pow.f64 x 5))))
(fma.f64 1/9 (pow.f64 x 3) (fma.f64 1/90 (pow.f64 x 5) (*.f64 4/3 x)))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 17/15120 (pow.f64 x 7) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 1/9 (pow.f64 x 3) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 17/15120 (pow.f64 x 7)))))
(fma.f64 4/3 x (fma.f64 1/9 (pow.f64 x 3) (fma.f64 1/90 (pow.f64 x 5) (*.f64 17/15120 (pow.f64 x 7)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/9 (pow.f64 x 3) (fma.f64 1/90 (pow.f64 x 5) (*.f64 4/3 x))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (fma.f64 17/15120 (pow.f64 x 7) (*.f64 1/9 (pow.f64 x 3)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (*.f64 2/3 x)))
	0.3b	(*.f64 2/3 x)
✓	4.0b	(-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (*.f64 2/3 x))) 1)
✓	14.8b	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))

Compiler

Compiled 64 to 53 computations (17.2% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
1.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
0.0ms	x	@	inf	(-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (*.f64 2/3 x))) 1)
0.0ms	x	@	-inf	(-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (*.f64 2/3 x))) 1)

rewrite99.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`fma-def_binary64`
501×	`log-prod_binary64`
318×	`fma-neg_binary64`
261×	`pow2_binary64`
180×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	237	23
2	3633	23

Stop Event

1×	node limit

Counts

3 → 284

Calls

Call 1

Inputs

(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 2/3 x)) (+.f64 1 (*.f64 2/3 x))) 1) (+.f64 (+.f64 1 (*.f64 2/3 x)) 1))

(-.f64 (*.f64 (+.f64 1 (*.f64 2/3 x)) (+.f64 1 (*.f64 2/3 x))) 1)

(*.f64 (+.f64 1 (*.f64 2/3 x)) (+.f64 1 (*.f64 2/3 x)))

Outputs

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

simplify172.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
609×	`associate-l_binary64`
513×	`fma-def_binary64`
490×	`cube-prod_binary64`
479×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	293
1	29	291
2	48	268
3	100	228
4	224	228
5	607	228
6	2006	228
7	3349	228
8	3555	228
9	3768	228
10	3988	228
11	4305	228
12	4707	228
13	5218	228
14	5787	228
15	6475	228
16	7308	228
17	7700	228
18	7990	228

Stop Event

1×	node limit

Counts

320 → 295

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 2/3 x))
0.0ms	x	@	0	(sqrt.f64 (*.f64 2/3 x))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`pow1_binary64`
487×	`add-sqr-sqrt_binary64`
465×	`add-log-exp_binary64`
465×	`log1p-expm1-u_binary64`
465×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	146	10
2	1319	10

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

47 → 47

Calls

Call 1

Inputs

Outputs

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
✓	0.2b	(pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x))))) -1)
✓	0.2b	(.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))
✓	1.5b	(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))

Compiler

Compiled 52 to 33 computations (36.5% saved)

series9.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

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

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`log-prod_binary64`
335×	`pow2_binary64`
303×	`pow-prod-down_binary64`
230×	`pow1/3_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	268	57
2	3398	49

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

996×	`fma-def_binary64`
761×	`distribute-lft-out_binary64`
751×	`associate-l_binary64`
735×	`distribute-rgt-out_binary64`
605×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	364
1	194	362
2	470	338
3	1383	322
4	4982	322
5	7602	322

Stop Event

1×	node limit

Counts

171 → 179

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/48 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (.f64 -1/80640 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (pow.f64 x 6)) (.f64 -1/48 (pow.f64 x 4)))))
(/.f64 3/2 x)
(+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 -1/20160 (pow.f64 x 5)))))
(*.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 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 4 x)
(+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x)))
(+.f64 (.f64 -1/180 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x))))
(+.f64 (.f64 -1/180 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (+.f64 (.f64 -1/7560 (pow.f64 x 5)) (.f64 4 (/.f64 1 x)))))

Outputs
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.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)))
(.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 (.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 1/4 (.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (fma.f64 -1/48 (pow.f64 x 4) (.f64 -1/80640 (pow.f64 x 8)))))
(/.f64 3/2 x)
(+.f64 (.f64 -1/8 x) (.f64 3/2 (/.f64 1 x)))
(fma.f64 -1/8 x (/.f64 3/2 x))
(fma.f64 x -1/8 (/.f64 3/2 x))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(fma.f64 -1/8 x (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)))
(fma.f64 x -1/8 (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)))
(fma.f64 x (fma.f64 x (*.f64 x -1/480) -1/8) (/.f64 3/2 x))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/480 (pow.f64 x 3)) (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 -1/20160 (pow.f64 x 5)))))
(fma.f64 -1/8 x (+.f64 (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)) (*.f64 -1/20160 (pow.f64 x 5))))
(fma.f64 x -1/8 (fma.f64 -1/480 (pow.f64 x 3) (fma.f64 -1/20160 (pow.f64 x 5) (/.f64 3/2 x))))
(fma.f64 x (fma.f64 x (*.f64 x -1/480) -1/8) (fma.f64 -1/20160 (pow.f64 x 5) (/.f64 3/2 x)))
(*.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 (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 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (fma.f64 x 2/3 (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 x (.f64 x 1/18) 2/3) (fma.f64 (pow.f64 x 5) 1/180 (.f64 17/30240 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 5) 1/180 (fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (*.f64 17/30240 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 8/3 (/.f64 (+.f64 1/2 (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 4 x)
(+.f64 (.f64 -1/3 x) (.f64 4 (/.f64 1 x)))
(fma.f64 -1/3 x (/.f64 4 x))
(fma.f64 x -1/3 (/.f64 4 x))
(+.f64 (.f64 -1/180 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (*.f64 4 (/.f64 1 x))))
(fma.f64 -1/180 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 4 x)))
(fma.f64 (pow.f64 x 3) -1/180 (fma.f64 x -1/3 (/.f64 4 x)))
(fma.f64 x -1/3 (fma.f64 (pow.f64 x 3) -1/180 (/.f64 4 x)))
(fma.f64 x (fma.f64 x (*.f64 x -1/180) -1/3) (/.f64 4 x))
(+.f64 (.f64 -1/180 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (+.f64 (.f64 -1/7560 (pow.f64 x 5)) (.f64 4 (/.f64 1 x)))))
(fma.f64 -1/180 (pow.f64 x 3) (fma.f64 -1/3 x (fma.f64 -1/7560 (pow.f64 x 5) (/.f64 4 x))))
(fma.f64 (pow.f64 x 3) -1/180 (fma.f64 x -1/3 (fma.f64 (pow.f64 x 5) -1/7560 (/.f64 4 x))))
(fma.f64 x (fma.f64 x (*.f64 x -1/180) -1/3) (fma.f64 (pow.f64 x 5) -1/7560 (/.f64 4 x)))
(fma.f64 x -1/3 (fma.f64 (pow.f64 x 3) -1/180 (fma.f64 (pow.f64 x 5) -1/7560 (/.f64 4 x))))

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))
✓	0.4b	(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
✓	6.5b	(sqrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))
✓	15.1b	(/.f64 (sqrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sin.f64 x))

Compiler

Compiled 49 to 39 computations (20.4% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
1.0ms	x	@	inf	(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
0.0ms	x	@	0	(/.f64 (sqrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sin.f64 x))
0.0ms	x	@	inf	(.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))
0.0ms	x	@	0	(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
419×	`exp-prod_binary64`
296×	`pow2_binary64`
280×	`pow-prod-down_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	252	50
2	2911	50

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (sin.f64 x))
(sqrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
(.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.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 (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 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2) (cbrt.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.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 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)) (/.f64 1 (sin.f64 x))))))) (#(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 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (.f64 1/2 (cos.f64 x)))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1/2 (.f64 1/2 (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 1/2 (.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 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)) (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8/3 (-.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 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))))))) (#(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 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 8) 4096/81) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3) 6) 1/6)))) (#(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 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)) 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 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)))))) (#(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))) 8/3))) 2)) (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3))))))) (#(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))) 8/3)))) (sqrt.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3))))) (#(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 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3))))))) (#(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 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)) 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 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3))) 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 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) (-.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))) 4) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 8)) (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))) 8) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 4 (log.f64 (sin.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4 (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)) 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 4 (log.f64 (sin.f64 (.f64 x 1/2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sin.f64 (.f64 x 1/2))) 2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 64/9) (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 64/9) (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 64/9) (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 64/9) (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 8) 4096/81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9))) 2)) (cbrt.f64 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9)))) (sqrt.f64 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 8) 4096/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 64/9) (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 8) 4096/81)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 x))) 8/3) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 64/9 (pow.f64 (sin.f64 (.f64 x 1/2)) 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 4 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 64/9)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)) 1) 2))))))

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1192×	`distribute-lft-out_binary64`
510×	`*-commutative_binary64`
472×	`unswap-sqr_binary64`
431×	`associate-+l+_binary64`
340×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	668
1	191	668
2	466	668
3	1537	668
4	2709	668
5	5317	668
6	6674	668
7	7797	668

Stop Event

1×	node limit

Counts

191 → 182

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 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))
(*.f64 1/16 (pow.f64 x 4))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 -1/96 (pow.f64 x 6)))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 -1/96 (pow.f64 x 6)) (*.f64 1/1280 (pow.f64 x 8))))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 -17/483840 (pow.f64 x 10)) (+.f64 (.f64 -1/96 (pow.f64 x 6)) (.f64 1/1280 (pow.f64 x 8)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(*.f64 4/9 (pow.f64 x 4))
(+.f64 (.f64 4/9 (pow.f64 x 4)) (.f64 -2/27 (pow.f64 x 6)))
(+.f64 (.f64 4/9 (pow.f64 x 4)) (+.f64 (.f64 1/180 (pow.f64 x 8)) (*.f64 -2/27 (pow.f64 x 6))))
(+.f64 (.f64 -17/68040 (pow.f64 x 10)) (+.f64 (.f64 4/9 (pow.f64 x 4)) (+.f64 (.f64 1/180 (pow.f64 x 8)) (.f64 -2/27 (pow.f64 x 6)))))
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))

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 1/18 (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 2/3 x (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 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 (.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))))
(+.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 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))
(*.f64 1/16 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) 1/16)
(+.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 -1/96 (pow.f64 x 6)))
(fma.f64 1/16 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/96))
(fma.f64 (pow.f64 x 4) 1/16 (*.f64 (pow.f64 x 6) -1/96))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 -1/96 (pow.f64 x 6)) (*.f64 1/1280 (pow.f64 x 8))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 -1/96 (pow.f64 x 6) (*.f64 (pow.f64 x 8) 1/1280)))
(fma.f64 (pow.f64 x 4) 1/16 (fma.f64 (pow.f64 x 8) 1/1280 (*.f64 (pow.f64 x 6) -1/96)))
(fma.f64 (pow.f64 x 6) -1/96 (fma.f64 (pow.f64 x 8) 1/1280 (*.f64 (pow.f64 x 4) 1/16)))
(fma.f64 (pow.f64 x 4) 1/16 (fma.f64 (pow.f64 x 6) -1/96 (*.f64 (pow.f64 x 8) 1/1280)))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 -17/483840 (pow.f64 x 10)) (+.f64 (.f64 -1/96 (pow.f64 x 6)) (.f64 1/1280 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 -17/483840 (pow.f64 x 10) (fma.f64 -1/96 (pow.f64 x 6) (*.f64 (pow.f64 x 8) 1/1280))))
(fma.f64 (pow.f64 x 4) 1/16 (fma.f64 -17/483840 (pow.f64 x 10) (fma.f64 (pow.f64 x 8) 1/1280 (*.f64 (pow.f64 x 6) -1/96))))
(fma.f64 (pow.f64 x 4) 1/16 (fma.f64 (pow.f64 x 6) -1/96 (fma.f64 (pow.f64 x 8) 1/1280 (*.f64 -17/483840 (pow.f64 x 10)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)
(*.f64 4/9 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) 4/9)
(+.f64 (.f64 4/9 (pow.f64 x 4)) (.f64 -2/27 (pow.f64 x 6)))
(fma.f64 4/9 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2/27))
(fma.f64 (pow.f64 x 4) 4/9 (*.f64 (pow.f64 x 6) -2/27))
(+.f64 (.f64 4/9 (pow.f64 x 4)) (+.f64 (.f64 1/180 (pow.f64 x 8)) (*.f64 -2/27 (pow.f64 x 6))))
(fma.f64 4/9 (pow.f64 x 4) (fma.f64 1/180 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -2/27)))
(fma.f64 (pow.f64 x 4) 4/9 (fma.f64 1/180 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -2/27)))
(fma.f64 1/180 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 4/9 (*.f64 (pow.f64 x 6) -2/27)))
(+.f64 (.f64 -17/68040 (pow.f64 x 10)) (+.f64 (.f64 4/9 (pow.f64 x 4)) (+.f64 (.f64 1/180 (pow.f64 x 8)) (.f64 -2/27 (pow.f64 x 6)))))
(fma.f64 -17/68040 (pow.f64 x 10) (fma.f64 4/9 (pow.f64 x 4) (fma.f64 1/180 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -2/27))))
(fma.f64 (pow.f64 x 10) -17/68040 (fma.f64 (pow.f64 x 4) 4/9 (fma.f64 1/180 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -2/27))))
(fma.f64 (pow.f64 x 4) 4/9 (fma.f64 (pow.f64 x 10) -17/68040 (fma.f64 1/180 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -2/27))))
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)
(.f64 64/9 (pow.f64 (sin.f64 (.f64 1/2 x)) 4))
(.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 4) 64/9)

eval499.0ms (5.4%)

Compiler: Compiled 15762 to 12682 computations (19.5% saved)

prune136.0ms (1.5%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	812	13	825
Fresh	12	7	19
Picked	1	0	1
Done	3	4	7
Total	828	24	852

Error

Counts

852 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (cos.f64 (*.f64 x 1/2))) 2)
	31.5b	(pow.f64 (*.f64 3/8 (/.f64 4 x)) -1)
	31.4b	(pow.f64 (/.f64 3/2 x) -1)
▶	49.5b	(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
▶	29.1b	(/.f64 (.f64 x 4/3) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
▶	0.4b	(/.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) 2)
✓	0.3b	(/.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 2)
	32.1b	(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
	30.2b	(/.f64 (*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)
	2.0b	(/.f64 (log1p.f64 (expm1.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))))) 2)
	19.8b	(/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 3)) 2)
	30.2b	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (sin.f64 x)) 2)
▶	54.5b	(sqrt.f64 (.f64 4/9 (.f64 x x)))
	30.2b	(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 3/8)
	0.5b	(/.f64 8/3 (.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
	51.4b	(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
	61.2b	(/.f64 (-.f64 1 1) (+.f64 (+.f64 1 (*.f64 2/3 x)) 1))
✓	31.5b	(*.f64 2/3 x)
	61.4b	(/.f64 (.f64 x (.f64 x 4/9)) (+.f64 (+.f64 1 (*.f64 2/3 x)) 1))
	28.8b	(.f64 (/.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) 1) (.f64 (sqrt.f64 8/3) 1/2))
✓	30.2b	(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
✓	61.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
	32.8b	(/.f64 (pow.f64 (sqrt.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2)))) 2) 2)
	30.2b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)) 2)

Compiler

Compiled 493 to 418 computations (15.2% saved)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 49 to 39 computations (20.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	188	15
2	2261	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify149.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	364
1	92	364
2	220	364
3	572	364
4	1118	364
5	2362	364
6	3212	364
7	4161	364
8	4327	364
9	4574	364
10	4889	364
11	5370	364
12	6040	364
13	6913	364
14	7551	364

Stop Event

1×	node limit

Counts

76 → 71

Calls

Call 1

Inputs
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.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)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))

Outputs
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x))
(.f64 x (fma.f64 x (.f64 x 1/9) 4/3))
(.f64 x (fma.f64 1/9 (.f64 x x) 4/3))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 1/90 (pow.f64 x 5))))
(fma.f64 1/9 (pow.f64 x 3) (fma.f64 1/90 (pow.f64 x 5) (*.f64 4/3 x)))
(fma.f64 4/3 x (fma.f64 1/90 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x))))
(fma.f64 4/3 x (fma.f64 1/9 (pow.f64 x 3) (fma.f64 1/90 (pow.f64 x 5) (*.f64 17/15120 (pow.f64 x 7)))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 x (fma.f64 1/9 (.f64 x x) 4/3) (.f64 17/15120 (pow.f64 x 7))))
(fma.f64 1/9 (pow.f64 x 3) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 17/15120 (pow.f64 x 7) (*.f64 4/3 x))))
(fma.f64 4/3 x (fma.f64 1/90 (pow.f64 x 5) (fma.f64 1/9 (pow.f64 x 3) (*.f64 17/15120 (pow.f64 x 7)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.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 x 1/2 (*.f64 (pow.f64 x 3) 1/24))
(.f64 x (fma.f64 x (.f64 x 1/24) 1/2))
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 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 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)))
(+.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 (pow.f64 x 5) 1/240 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 7) 17/40320 (*.f64 (pow.f64 x 3) 1/24))))
(fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 7) 17/40320 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 x 4/3) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
✓	0.0b	(+.f64 (+.f64 1 (*.f64 2/3 x)) 1)
	0.3b	(*.f64 2/3 x)
✓	0.3b	(*.f64 x 4/3)

Compiler

Compiled 34 to 27 computations (20.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x 4/3)
0.0ms	x	@	inf	(*.f64 x 4/3)
0.0ms	x	@	-inf	(*.f64 x 4/3)
0.0ms	x	@	inf	(/.f64 (.f64 x 4/3) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
0.0ms	x	@	0	(/.f64 (.f64 x 4/3) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`log-prod_binary64`
365×	`prod-diff_binary64`
349×	`fma-def_binary64`
297×	`pow-prod-down_binary64`
271×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	222	24
2	3021	20

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Outputs

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

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

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
761×	`distribute-neg-frac_binary64`
534×	`associate-/r*_binary64`
380×	`fma-def_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	258
1	102	258
2	242	255
3	693	247
4	2248	247
5	6100	247

Stop Event

1×	node limit

Counts

167 → 149

Calls

Call 1

Inputs
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
2
(+.f64 (*.f64 2/3 x) 2)
(+.f64 (*.f64 2/3 x) 2)
(+.f64 (*.f64 2/3 x) 2)
(*.f64 2/3 x)
(+.f64 2 (*.f64 2/3 x))
(+.f64 2 (*.f64 2/3 x))
(+.f64 2 (*.f64 2/3 x))
(*.f64 2/3 x)
(+.f64 2 (*.f64 2/3 x))
(+.f64 2 (*.f64 2/3 x))
(+.f64 2 (*.f64 2/3 x))
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 -2/9 (pow.f64 x 2)))
(+.f64 (.f64 2/27 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 -2/9 (pow.f64 x 2))))
(+.f64 (.f64 2/27 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (.f64 -2/81 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 6 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 2))) 2) (.f64 6 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (.f64 6 (/.f64 1 x)) (*.f64 54 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 6 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 2))) 2) (.f64 6 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (.f64 6 (/.f64 1 x)) (*.f64 54 (/.f64 1 (pow.f64 x 3)))))

Outputs
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
2
(+.f64 (*.f64 2/3 x) 2)
(fma.f64 2/3 x 2)
(fma.f64 x 2/3 2)
(+.f64 (*.f64 2/3 x) 2)
(fma.f64 2/3 x 2)
(fma.f64 x 2/3 2)
(+.f64 (*.f64 2/3 x) 2)
(fma.f64 2/3 x 2)
(fma.f64 x 2/3 2)
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 2 (*.f64 2/3 x))
(fma.f64 2/3 x 2)
(fma.f64 x 2/3 2)
(+.f64 2 (*.f64 2/3 x))
(fma.f64 2/3 x 2)
(fma.f64 x 2/3 2)
(+.f64 2 (*.f64 2/3 x))
(fma.f64 2/3 x 2)
(fma.f64 x 2/3 2)
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 2 (*.f64 2/3 x))
(fma.f64 2/3 x 2)
(fma.f64 x 2/3 2)
(+.f64 2 (*.f64 2/3 x))
(fma.f64 2/3 x 2)
(fma.f64 x 2/3 2)
(+.f64 2 (*.f64 2/3 x))
(fma.f64 2/3 x 2)
(fma.f64 x 2/3 2)
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 2/3 x) (.f64 -2/9 (pow.f64 x 2)))
(fma.f64 2/3 x (.f64 -2/9 (.f64 x x)))
(fma.f64 x 2/3 (.f64 -2/9 (.f64 x x)))
(.f64 x (+.f64 2/3 (.f64 x -2/9)))
(*.f64 x (fma.f64 x -2/9 2/3))
(+.f64 (.f64 2/27 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 -2/9 (pow.f64 x 2))))
(fma.f64 2/27 (pow.f64 x 3) (fma.f64 2/3 x (.f64 -2/9 (.f64 x x))))
(fma.f64 2/27 (pow.f64 x 3) (fma.f64 x 2/3 (.f64 -2/9 (.f64 x x))))
(fma.f64 x 2/3 (.f64 (.f64 x x) (+.f64 -2/9 (*.f64 x 2/27))))
(.f64 x (+.f64 2/3 (.f64 x (fma.f64 x 2/27 -2/9))))
(+.f64 (.f64 2/27 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (.f64 -2/81 (pow.f64 x 4)))))
(fma.f64 2/27 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 -2/9 (.f64 x x) (.f64 -2/81 (pow.f64 x 4)))))
(fma.f64 2/27 (pow.f64 x 3) (fma.f64 x 2/3 (fma.f64 -2/9 (.f64 x x) (.f64 -2/81 (pow.f64 x 4)))))
(fma.f64 2/27 (pow.f64 x 3) (fma.f64 -2/81 (pow.f64 x 4) (.f64 x (+.f64 2/3 (.f64 x -2/9)))))
(fma.f64 x (fma.f64 x -2/9 2/3) (.f64 (pow.f64 x 3) (+.f64 (.f64 x -2/81) 2/27)))
(fma.f64 x (fma.f64 x -2/9 2/3) (.f64 (pow.f64 x 3) (+.f64 2/27 (.f64 x -2/81))))
2
(-.f64 2 (*.f64 6 (/.f64 1 x)))
(-.f64 2 (/.f64 6 x))
(+.f64 2 (/.f64 -6 x))
(-.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 2))) 2) (.f64 6 (/.f64 1 x)))
(+.f64 (/.f64 18 (*.f64 x x)) (-.f64 2 (/.f64 6 x)))
(+.f64 (+.f64 2 (/.f64 -6 x)) (/.f64 18 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 18 (*.f64 x x)) (/.f64 -6 x)))
(-.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (.f64 6 (/.f64 1 x)) (*.f64 54 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 18 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 6 x) (/.f64 54 (pow.f64 x 3)))))
(+.f64 (/.f64 18 (*.f64 x x)) (-.f64 (+.f64 2 (/.f64 -6 x)) (/.f64 54 (pow.f64 x 3))))
(+.f64 (+.f64 2 (/.f64 -6 x)) (+.f64 (/.f64 18 (*.f64 x x)) (/.f64 -54 (pow.f64 x 3))))
(+.f64 (/.f64 -6 x) (-.f64 2 (-.f64 (/.f64 54 (pow.f64 x 3)) (/.f64 18 (*.f64 x x)))))
(+.f64 (/.f64 18 (*.f64 x x)) (+.f64 (+.f64 2 (/.f64 -6 x)) (/.f64 -54 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 6 (/.f64 1 x)))
(-.f64 2 (/.f64 6 x))
(+.f64 2 (/.f64 -6 x))
(-.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 2))) 2) (.f64 6 (/.f64 1 x)))
(+.f64 (/.f64 18 (*.f64 x x)) (-.f64 2 (/.f64 6 x)))
(+.f64 (+.f64 2 (/.f64 -6 x)) (/.f64 18 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 18 (*.f64 x x)) (/.f64 -6 x)))
(-.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (.f64 6 (/.f64 1 x)) (*.f64 54 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 18 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 6 x) (/.f64 54 (pow.f64 x 3)))))
(+.f64 (/.f64 18 (*.f64 x x)) (-.f64 (+.f64 2 (/.f64 -6 x)) (/.f64 54 (pow.f64 x 3))))
(+.f64 (+.f64 2 (/.f64 -6 x)) (+.f64 (/.f64 18 (*.f64 x x)) (/.f64 -54 (pow.f64 x 3))))
(+.f64 (/.f64 -6 x) (-.f64 2 (-.f64 (/.f64 54 (pow.f64 x 3)) (/.f64 18 (*.f64 x x)))))
(+.f64 (/.f64 18 (*.f64 x x)) (+.f64 (+.f64 2 (/.f64 -6 x)) (/.f64 -54 (pow.f64 x 3))))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 4/9 (.f64 x x))
✓	29.6b	(sqrt.f64 (.f64 4/9 (.f64 x x)))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 4/9 (.f64 x x))
0.0ms	x	@	inf	(.f64 4/9 (.f64 x x))
0.0ms	x	@	0	(sqrt.f64 (.f64 4/9 (.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (.f64 4/9 (.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (.f64 4/9 (.f64 x x)))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`pow1_binary64`
494×	`add-sqr-sqrt_binary64`
477×	`add-log-exp_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	124	11
2	1400	11

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(sqrt.f64 (.f64 4/9 (.f64 x x)))
(.f64 4/9 (.f64 x x))

Outputs

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

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

simplify177.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
582×	`associate-l_binary64`
565×	`cube-prod_binary64`
557×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	132
1	18	132
2	29	132
3	58	132
4	138	132
5	442	132
6	1604	132
7	2497	132
8	2661	132
9	2874	132
10	3094	132
11	3397	132
12	3799	132
13	4292	132
14	4860	132
15	5550	132
16	6383	132
17	6773	132
18	7057	132
19	7333	132
20	7409	132
21	7443	132

Stop Event

1×	node limit

Counts

62 → 42

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)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))

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 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(.f64 4/9 (.f64 x x))
(.f64 x (.f64 x 4/9))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 8 computations (50% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
1.0ms	x	@	-inf	(*.f64 2/3 (sqrt.f64 x))
1.0ms	x	@	0	(*.f64 2/3 (sqrt.f64 x))
0.0ms	x	@	inf	(*.f64 2/3 (sqrt.f64 x))
0.0ms	x	@	0	(.f64 (.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
505×	`add-sqr-sqrt_binary64`
485×	`add-log-exp_binary64`
485×	`log1p-expm1-u_binary64`
485×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	121	10
2	1363	10

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.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) 3) 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 sqrt.f64 (*.f64 x (*.f64 x 4/9)))))) (#(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)))))))

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1024×	`fma-def_binary64`
799×	`fabs-mul_binary64`
775×	`cube-prod_binary64`
741×	`sqr-pow_binary64`
409×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	21	48
2	40	48
3	71	48
4	170	48
5	542	48
6	698	48
7	921	48
8	1407	48
9	1622	48
10	2483	48
11	3305	48
12	3622	48
13	4014	48
14	4498	48
15	5135	48
16	6041	48
17	7225	48

Stop Event

1×	node limit

Counts

34 → 25

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 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(.f64 -2/3 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(.f64 -2/3 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(.f64 -2/3 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))

Outputs
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(.f64 -2/3 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 2/3 x)
(*.f64 x 2/3)
(.f64 -2/3 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 2/3 x)
(*.f64 x 2/3)
(.f64 -2/3 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 2/3 x)
(*.f64 x 2/3)
(.f64 -2/3 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 2/3 x)
(*.f64 x 2/3)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`pow1_binary64`
872×	`add-log-exp_binary64`
872×	`log1p-expm1-u_binary64`
872×	`expm1-log1p-u_binary64`
856×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	187	26
2	2307	26

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify149.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	324
1	91	324
2	220	324
3	581	324
4	1125	324
5	2371	324
6	3216	324
7	4165	324
8	4331	324
9	4578	324
10	4893	324
11	5374	324
12	6044	324
13	6917	324
14	7553	324

Stop Event

1×	node limit

Counts

76 → 68

Calls

Call 1

Inputs
(*.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 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))

Outputs
(*.f64 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 4/3 x))
(.f64 x (fma.f64 x (.f64 x -1/18) 4/3))
(.f64 x (fma.f64 -1/18 (.f64 x x) 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 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/1440 (pow.f64 x 5))))
(fma.f64 -1/18 (pow.f64 x 3) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 4/3 x)))
(fma.f64 x (fma.f64 x (.f64 x -1/18) 4/3) (.f64 1/1440 (pow.f64 x 5)))
(fma.f64 x (fma.f64 -1/18 (.f64 x x) 4/3) (.f64 1/1440 (pow.f64 x 5)))
(+.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 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/1440 (pow.f64 x 5)))))
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 -1/241920 (pow.f64 x 7)))))
(fma.f64 1/1440 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x -1/18) 4/3) (.f64 -1/241920 (pow.f64 x 7))))
(fma.f64 x (fma.f64 -1/18 (.f64 x x) 4/3) (fma.f64 1/1440 (pow.f64 x 5) (.f64 -1/241920 (pow.f64 x 7))))
(fma.f64 4/3 x (fma.f64 -1/18 (pow.f64 x 3) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 -1/241920 (pow.f64 x 7)))))
(.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 4/3 x)
(+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 (pow.f64 x 3) 1/9))
(.f64 x (fma.f64 x (.f64 x 1/9) 4/3))
(fma.f64 (pow.f64 x 3) 1/9 (*.f64 4/3 x))
(+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 (pow.f64 x 3) 1/9)))
(fma.f64 (pow.f64 x 5) 1/90 (fma.f64 4/3 x (*.f64 (pow.f64 x 3) 1/9)))
(fma.f64 4/3 x (fma.f64 (pow.f64 x 3) 1/9 (*.f64 (pow.f64 x 5) 1/90)))
(fma.f64 x (fma.f64 x (.f64 x 1/9) 4/3) (.f64 (pow.f64 x 5) 1/90))
(+.f64 (.f64 17/15120 (pow.f64 x 7)) (+.f64 (.f64 1/90 (pow.f64 x 5)) (+.f64 (.f64 4/3 x) (.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 (pow.f64 x 3) 1/9))))
(fma.f64 (pow.f64 x 7) 17/15120 (fma.f64 (pow.f64 x 5) 1/90 (fma.f64 4/3 x (*.f64 (pow.f64 x 3) 1/9))))
(fma.f64 (pow.f64 x 5) 1/90 (fma.f64 (pow.f64 x 7) 17/15120 (fma.f64 4/3 x (*.f64 (pow.f64 x 3) 1/9))))
(fma.f64 (pow.f64 x 3) 1/9 (fma.f64 (pow.f64 x 5) 1/90 (fma.f64 4/3 x (*.f64 (pow.f64 x 7) 17/15120))))
(fma.f64 4/3 x (fma.f64 (pow.f64 x 5) 1/90 (fma.f64 (pow.f64 x 3) 1/9 (*.f64 (pow.f64 x 7) 17/15120))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))

eval142.0ms (1.5%)

Compiler: Compiled 5307 to 4399 computations (17.1% saved)

prune121.0ms (1.3%)

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	365	15	380
Fresh	8	7	15
Picked	0	1	1
Done	2	6	8
Total	375	29	404

Error

Counts

404 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(/.f64 (*.f64 x 4/3) (expm1.f64 (log1p.f64 (fma.f64 x 2/3 2))))
	61.4b	(/.f64 (.f64 x (.f64 x 4/9)) (+.f64 (+.f64 1 (*.f64 2/3 x)) 1))
	29.1b	(/.f64 (.f64 x 4/3) (+.f64 (.f64 2/3 x) 2))
✓	0.4b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (cos.f64 (*.f64 x 1/2))) 2)
	31.5b	(pow.f64 (*.f64 3/8 (/.f64 4 x)) -1)
	31.4b	(pow.f64 (/.f64 3/2 x) -1)
	61.8b	(*.f64 x -2/3)
	0.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 1 (cos.f64 (.f64 x 1/2))))) 2)
	30.0b	(/.f64 (.f64 8/3 (-.f64 (+.f64 1 (tan.f64 (.f64 x 1/2))) 1)) 2)
✓	0.4b	(/.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))) 2)
	30.2b	(/.f64 (*.f64 8/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2)
	48.2b	(/.f64 (pow.f64 (sqrt.f64 (.f64 x 4/3)) 2) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
	54.5b	(sqrt.f64 (.f64 x (.f64 x 4/9)))
	0.4b	(/.f64 (/.f64 8/3 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) 2)
	19.8b	(/.f64 (cbrt.f64 (pow.f64 (.f64 8/3 (tan.f64 (.f64 x 1/2))) 3)) 2)
✓	30.2b	(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
✓	54.5b	(sqrt.f64 (.f64 4/9 (.f64 x x)))
	32.1b	(*.f64 x (fma.f64 x -2/9 2/3))
	30.2b	(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 3/8)
	30.4b	(/.f64 (.f64 x 4/3) (+.f64 (+.f64 1 (/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (*.f64 2/3 x)) 1))) 1))
	59.4b	(/.f64 (.f64 x 4/3) (.f64 x 2/3))
	32.1b	(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
✓	31.5b	(*.f64 2/3 x)
	0.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (.f64 (cos.f64 (.f64 x 1/2)) 3/8))) 2)
	60.0b	(+.f64 2 (/.f64 -6 x))
✓	0.3b	(/.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 2)
	30.2b	(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (sin.f64 x)) 2)
✓	61.4b	(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
	30.2b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)) 2)

Compiler

Compiled 330 to 278 computations (15.8% saved)

regimes116.0ms (1.3%)

Counts

73 → 1

Calls

Call 1

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

Outputs
(/.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 2)

Calls

2 calls:

46.0ms	x
36.0ms	(/.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
0.3b	1	`x`
0.3b	1	`(/.f64 (.f64 (.f64 (/.f64 8 3) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (sin.f64 x))`

Compiler

Compiled 862 to 661 computations (23.3% saved)

regimes16.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 x -2/3)
(*.f64 2/3 x)
(+.f64 2 (/.f64 -6 x))
(/.f64 (.f64 x 4/3) (.f64 x 2/3))
(/.f64 (.f64 x 4/3) (+.f64 (.f64 2/3 x) 2))
(/.f64 (.f64 x 4/3) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
(/.f64 (-.f64 1 1) (+.f64 (+.f64 1 (*.f64 2/3 x)) 1))
(/.f64 (.f64 x (.f64 x 4/9)) (+.f64 (+.f64 1 (*.f64 2/3 x)) 1))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (.f64 2/3 x)) 1))
(/.f64 (.f64 x 4/3) (+.f64 (+.f64 1 (/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 x)) (+.f64 1 (.f64 2/3 x))) 1) (+.f64 (+.f64 1 (*.f64 2/3 x)) 1))) 1))
(fabs.f64 (*.f64 2/3 x))
(pow.f64 (/.f64 3/2 x) -1)
(sqrt.f64 (.f64 x (.f64 x 4/9)))
(*.f64 x (fma.f64 x -2/9 2/3))
(sqrt.f64 (.f64 4/9 (.f64 x x)))
(pow.f64 (*.f64 3/8 (/.f64 4 x)) -1)

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
29.1b	1	`x`

Compiler

Compiled 149 to 119 computations (20.1% saved)

regimes13.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 x -2/3)
(*.f64 2/3 x)
(+.f64 2 (/.f64 -6 x))
(/.f64 (.f64 x 4/3) (.f64 x 2/3))

Outputs
(+.f64 2 (/.f64 -6 x))
(*.f64 2/3 x)
(+.f64 2 (/.f64 -6 x))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
29.0b	3	`x`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch172.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	2.8512387750046942e-18	233905.01599249025
88.0ms	-5.502807647938783e+38	-1.4152112052780482e+34

Compiler

Compiled 21 to 17 computations (19% saved)

regimes9.0ms (0.1%)

Accuracy

Total -30.9b remaining (-98.3%)

Threshold costs -30.9b (-98.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 2/3 x)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
31.5b	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	63
1	32	63

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 2)
(/.f64 (.f64 x 4/3) (+.f64 (.f64 2/3 x) 2))
(if (<=.f64 x -550280764793878317616541214398287446016) (+.f64 2 (/.f64 -6 x)) (if (<=.f64 x 3701119533597391/1298074214633706907132624082305024) (*.f64 2/3 x) (+.f64 2 (/.f64 -6 x))))
(*.f64 2/3 x)
(*.f64 x -2/3)

Outputs
(/.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 2)
(/.f64 (.f64 x 4/3) (+.f64 (.f64 2/3 x) 2))
(/.f64 (.f64 x 4/3) (+.f64 2 (.f64 x 2/3)))
(if (<=.f64 x -550280764793878317616541214398287446016) (+.f64 2 (/.f64 -6 x)) (if (<=.f64 x 3701119533597391/1298074214633706907132624082305024) (*.f64 2/3 x) (+.f64 2 (/.f64 -6 x))))
(if (<=.f64 x -550280764793878317616541214398287446016) (+.f64 2 (/.f64 -6 x)) (if (<=.f64 x 3701119533597391/1298074214633706907132624082305024) (*.f64 x 2/3) (+.f64 2 (/.f64 -6 x))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 x -2/3)

Compiler

Compiled 49 to 39 computations (20.4% saved)

soundness140.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

940×	`distribute-lft-out_binary64`
939×	`fma-def_binary64`
765×	`associate-/l/_binary64`
381×	`unswap-sqr_binary64`
342×	`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	60	252
1	145	250
2	344	248
3	1104	246
4	2876	246
5	4814	246
6	5723	246
7	6425	246

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 100 to 82 computations (18% saved)

end78.0ms (0.8%)

Compiler: Compiled 45 to 35 computations (22.2% saved)