Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
100%	49.6%	0%	50.4%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.8s (74.1%)

Results

2.7s	4440×	body	2048	valid
678.0ms	2028×	body	1024	valid
220.0ms	1036×	body	512	valid
156.0ms	752×	body	256	valid

Bogosity

preprocess17.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
4×	`+-commutative_binary64`
3×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	9	6
2	13	6
3	19	6
4	26	6
5	36	6
6	47	6
7	59	6
8	62	6
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
4×	`+-commutative_binary64`
3×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	9	6
2	13	6
3	19	6
4	26	6
5	36	6
6	47	6
7	59	6
8	62	6

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.8b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`pow1_binary64`
503×	`add-sqr-sqrt_binary64`
481×	`add-log-exp_binary64`
481×	`log1p-expm1-u_binary64`
481×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	102	6
2	1250	6

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

632×	`times-frac_binary64`
444×	`div-sub_binary64`
439×	`associate-/l*_binary64`
400×	`distribute-rgt-in_binary64`
376×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	416
1	227	376
2	679	351
3	3229	351

Stop Event

1×	node limit

Counts

32 → 45

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 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)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (.f64 x x))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/40320 (pow.f64 x 8) (.f64 -1/24 (pow.f64 x 4)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) -1))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) -1))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) -1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) -1))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.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)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) -1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))

eval11.0ms (0.2%)

Compiler: Compiled 498 to 311 computations (37.6% saved)

prune6.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

0.0b

Counts

46 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
✓	28.7b	(-.f64 1 (cos.f64 x))
▶	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶	0.6b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`pow1_binary64`
657×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	149	11
2	1777	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

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

Outputs

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

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

587×	`log-prod_binary64`
498×	`fma-def_binary64`
378×	`distribute-rgt-out_binary64`
337×	`distribute-rgt-in_binary64`
328×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	481
1	158	442
2	435	403
3	2114	403
4	5888	403

Stop Event

1×	node limit

Counts

27 → 35

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 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x 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 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (.f64 x x))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1)
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (.f64 x 1/2)) 3)))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(+.f64 (+.f64 1 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))) -1)
(+.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))) 0)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
✓	0.0b	(+.f64 1 (cos.f64 x))
✓	0.0b	(*.f64 (sin.f64 x) (sin.f64 x))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series4.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

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

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

993×	`pow1_binary64`
931×	`add-log-exp_binary64`
930×	`log1p-expm1-u_binary64`
930×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	179	18
2	2618	18

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Outputs

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

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

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

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-def_binary64`
695×	`unswap-sqr_binary64`
455×	`distribute-rgt-in_binary64`
432×	`distribute-lft-in_binary64`
192×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	1535
1	648	1485
2	2583	1374

Stop Event

1×	node limit

Counts

131 → 173

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(*.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 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 1/2 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(-.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) 1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) -2)
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) 1/2) 3)) (+.f64 1/4 (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) 1/2) (.f64 (cos.f64 (+.f64 x x)) 1/2)) (.f64 1/2 (.f64 (cos.f64 (+.f64 x x)) 1/2)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 (cos.f64 (+.f64 x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) 1/2))) (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (cos.f64 x)))) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 1 (+.f64 1 (cos.f64 x)))
(*.f64 (+.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) 1))
(pow.f64 (+.f64 1 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(fma.f64 1 (cos.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x))))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/315 (pow.f64 x 8)))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 2)
(fma.f64 x (*.f64 x -1/2) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 2 (fma.f64 (pow.f64 x 4) 1/24 (.f64 x (.f64 x -1/2))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 1/24 2))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 2 (fma.f64 (.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720))))
(+.f64 (fma.f64 x (.f64 x -1/2) 2) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720)))
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 x x) 1/2)
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
(+.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 (pow.f64 x 6) 1/720)))
(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 (.f64 (pow.f64 x 4) -1/24)))
(+.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 (pow.f64 x 8) -1/40320))))
(fma.f64 (.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/24 (fma.f64 (pow.f64 x 6) 1/720 (.f64 (pow.f64 x 8) -1/40320))))
(fma.f64 x (.f64 x 1/2) (fma.f64 (pow.f64 x 6) 1/720 (fma.f64 (pow.f64 x 8) -1/40320 (.f64 (pow.f64 x 4) -1/24))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(pow.f64 (sin.f64 x) 2)
(+.f64 1/2 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) 1/2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(pow.f64 (sin.f64 x) 2)
(-.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 (+.f64 x x)) 2))
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))) -2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) -2)
(/.f64 (+.f64 -1 (cos.f64 (+.f64 x x))) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) -1) -2)
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (cos.f64 x) 4))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 4))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) 1/2) 3)) (+.f64 1/4 (+.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) 1/2) (.f64 (cos.f64 (+.f64 x x)) 1/2)) (.f64 1/2 (.f64 (cos.f64 (+.f64 x x)) 1/2)))))
(/.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) -1/8)) (fma.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) (fma.f64 1/2 (cos.f64 (+.f64 x x)) 1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) -1/8 1/8) (fma.f64 (cos.f64 (+.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) 1/4 1/4) 1/4))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 (cos.f64 (+.f64 x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) 1/2))) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/4 (.f64 (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) 1/4)) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/4 (.f64 (cos.f64 (+.f64 x x)) (.f64 (cos.f64 (+.f64 x x)) 1/4))) (pow.f64 (cos.f64 x) 2))
(/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x))) -1/4 1/4) (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) 1/3)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3)
(pow.f64 (sin.f64 x) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (sin.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(pow.f64 (sin.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (cos.f64 x)))) 1)
(+.f64 (cos.f64 x) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 1 (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) 1)
(*.f64 (+.f64 1 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))
(+.f64 (cos.f64 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(+.f64 (cos.f64 x) 1)
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(+.f64 (cos.f64 x) 1)
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) 1))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (+.f64 1 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) 1)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 1/3)
(+.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 3)
(+.f64 (cos.f64 x) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 2)
(+.f64 (cos.f64 x) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))
(+.f64 (cos.f64 x) 1)
(log.f64 (exp.f64 (+.f64 1 (cos.f64 x))))
(+.f64 (cos.f64 x) 1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 x)))))
(+.f64 (cos.f64 x) 1)
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3))
(+.f64 (cos.f64 x) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (cos.f64 x))))
(+.f64 (cos.f64 x) 1)
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x))))
(+.f64 (cos.f64 x) 1)
(exp.f64 (log1p.f64 (cos.f64 x)))
(fma.f64 1 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1/2 (+.f64 (cos.f64 x) 1)) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) 1)))
(+.f64 (/.f64 1/2 (+.f64 (cos.f64 x) 1)) (/.f64 (*.f64 -1/2 (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) 1)))
(+.f64 (/.f64 1/2 (+.f64 (cos.f64 x) 1)) (*.f64 -1/2 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) 1))))
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (+.f64 (cos.f64 x) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cos.f64 x) 1)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (+.f64 (cos.f64 x) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (+.f64 (cos.f64 x) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(-.f64 1 (cos.f64 x))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))

eval61.0ms (1.2%)

Compiler: Compiled 2992 to 1784 computations (40.4% saved)

prune25.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	206	6	212

Error

Counts

212 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
▶	0.0b	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓	28.7b	(-.f64 1 (cos.f64 x))
▶	0.1b	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	0.6b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 15 computations (42.3% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
1.0ms	x	@	0	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
1.0ms	x	@	inf	(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms	x	@	0	(*.f64 x -1/24)
0.0ms	x	@	-inf	(*.f64 x -1/24)

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	164	18
2	1884	18

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/24)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))))

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
782×	`log-prod_binary64`
393×	`unswap-sqr_binary64`
387×	`associate-+l+_binary64`
362×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	449
1	206	449
2	778	449
3	3212	449
4	7120	449

Stop Event

1×	node limit

Counts

50 → 35

Calls

Call 1

Inputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(-.f64 (+.f64 1 (*.f64 x -1/24)) 1)
(pow.f64 (*.f64 x -1/24) 1)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/576))
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(exp.f64 (log.f64 (*.f64 x -1/24)))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (.f64 (.f64 x x) 1/2))
(-.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(pow.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(exp.f64 (log.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))

Outputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 x 1/2))
(.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(*.f64 -1/24 (pow.f64 x 4))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(*.f64 -1/24 (pow.f64 x 4))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.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)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(-.f64 (+.f64 1 (*.f64 x -1/24)) 1)
(*.f64 -1/24 x)
(pow.f64 (*.f64 x -1/24) 1)
(*.f64 -1/24 x)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(*.f64 -1/24 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(*.f64 -1/24 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(*.f64 -1/24 x)
(sqrt.f64 (.f64 (.f64 x x) 1/576))
(*.f64 -1/24 x)
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(*.f64 -1/24 x)
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(*.f64 -1/24 x)
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(exp.f64 (log.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -1/24))) (.f64 (.f64 x x) 1/2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(-.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -1/24) 1/2) 3) (pow.f64 (*.f64 x x) 3)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(exp.f64 (log.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓	0.0b	(+.f64 (cos.f64 x) 1)
✓	0.0b	(pow.f64 (sin.f64 x) 2)

Compiler

Compiled 25 to 14 computations (44% saved)

series2.0ms (0%)

Counts

3 → 20

Calls

9 calls:

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

rewrite87.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`pow1_binary64`
834×	`add-log-exp_binary64`
834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	191	26
2	2362	26

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

Outputs

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

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

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-*l/_binary64`
592×	`fma-def_binary64`
566×	`unswap-sqr_binary64`
485×	`associate-*r/_binary64`
253×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	1439
1	547	1205
2	1991	1158

Stop Event

1×	node limit

Counts

101 → 146

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.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 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(-.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 x) 1)) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 1 (+.f64 (cos.f64 x) 1))
(*.f64 (+.f64 (cos.f64 x) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(pow.f64 (+.f64 (cos.f64 x) 1) 1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))
(exp.f64 (log1p.f64 (cos.f64 x)))
(fma.f64 1 (cos.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))) 1)
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 (cos.f64 x) 1)))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 1)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))) 2) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) -1))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))) 3)
(pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) 1))) 2)
(pow.f64 (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))
(exp.f64 (-.f64 (*.f64 2 (log.f64 (sin.f64 x))) (log1p.f64 (cos.f64 x))))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/315 (pow.f64 x 8)))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 2 (fma.f64 (.f64 x x) -1/2 (.f64 (pow.f64 x 4) 1/24)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 1/24 2))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 2 (fma.f64 (.f64 x x) -1/2 (fma.f64 (pow.f64 x 6) -1/720 (.f64 (pow.f64 x 4) 1/24))))
(+.f64 (fma.f64 (.f64 x x) -1/2 2) (fma.f64 (pow.f64 x 6) -1/720 (.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 x x) 1/2)
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
(+.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 (pow.f64 x 6) 1/720)))
(fma.f64 (.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/24 (.f64 (pow.f64 x 6) 1/720)))
(fma.f64 (pow.f64 x 4) -1/24 (fma.f64 (pow.f64 x 6) 1/720 (.f64 (.f64 x x) 1/2)))
(+.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 (pow.f64 x 8) -1/40320))))
(fma.f64 (.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/24 (fma.f64 (pow.f64 x 8) -1/40320 (.f64 (pow.f64 x 6) 1/720))))
(fma.f64 (pow.f64 x 4) -1/24 (fma.f64 x (.f64 x 1/2) (fma.f64 (pow.f64 x 6) 1/720 (.f64 (pow.f64 x 8) -1/40320))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(-.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 x))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) 1))
(pow.f64 (sin.f64 x) 2)
(-.f64 (+.f64 1 (+.f64 (cos.f64 x) 1)) 1)
(+.f64 1 (cos.f64 x))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(*.f64 1 (+.f64 (cos.f64 x) 1))
(+.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) 1) 1)
(+.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2))
(+.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (+.f64 (cos.f64 x) 1) 1)
(+.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)
(+.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)
(+.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)
(+.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))
(+.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))
(+.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (cos.f64 x)))
(fma.f64 1 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1)
(+.f64 1 (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 1 (cos.f64 x))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 (cos.f64 x) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (+.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))) 2) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cos.f64 x) 1)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (+.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (+.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 3) 1/3)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))) 3)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) 1))) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (neg.f64 (cos.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 3))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(exp.f64 (-.f64 (*.f64 2 (log.f64 (sin.f64 x))) (log1p.f64 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (exp.f64 (log1p.f64 (cos.f64 x))))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 x 4) -1/24)

Compiler

Compiled 26 to 19 computations (26.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`pow1_binary64`
486×	`add-sqr-sqrt_binary64`
466×	`add-log-exp_binary64`
466×	`log1p-expm1-u_binary64`
466×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	126	7
2	1319	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))))))

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

975×	`log-prod_binary64`
468×	`distribute-rgt-in_binary64`
459×	`distribute-lft-in_binary64`
378×	`associate-l_binary64`
328×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	161
1	90	161
2	321	161
3	2103	161
4	6430	161

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/24)) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 1/576 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))

Outputs
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/24)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (pow.f64 x 4))
(sqrt.f64 (*.f64 1/576 (pow.f64 x 8)))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(*.f64 -1/24 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))

eval63.0ms (1.2%)

Compiler: Compiled 2703 to 1719 computations (36.4% saved)

prune45.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	193	6	199

Error

Counts

199 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
✓	0.0b	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓	28.7b	(-.f64 1 (cos.f64 x))
▶	0.1b	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	0.6b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 56 to 39 computations (30.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 22 computations (50% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
548×	`fma-def_binary64`
400×	`pow-prod-down_binary64`
275×	`pow2_binary64`
248×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	222	28
2	2994	28

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/576) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/24))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1) 1))))))

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(*.f64 (cbrt.f64 x) (*.f64 -1/24 (pow.f64 x 3))) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (*.f64 (pow.f64 x 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 (pow.f64 x 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x (sqrt.f64 -1/24))) 2) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) 2) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) 2) (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) (*.f64 x (*.f64 x 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(pow.f64 x 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/24))) (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) 1) x (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x 1/2)))))))

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

920×	`times-frac_binary64`
420×	`distribute-rgt-in_binary64`
392×	`distribute-lft-in_binary64`
308×	`unswap-sqr_binary64`
213×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	2394
1	760	2332
2	2358	2269

Stop Event

1×	node limit

Counts

165 → 164

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.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 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 0 (.f64 x (.f64 x -1/24)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x -1/24))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x -1/24)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x -1/24)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x -1/24)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/24)))) 1)
(pow.f64 (.f64 x (.f64 x -1/24)) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 1/576) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -1/24)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/24))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -1/24))))
(exp.f64 (log.f64 (.f64 x (.f64 x -1/24))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -1/24))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 -1/24)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x -1/24)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/24))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 x -1/24))) 1) 1))
(+.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) 1/2)
(pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 3)
(pow.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) 2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(pow.f64 (.f64 x (cbrt.f64 (.f64 x -1/24))) 3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -1/24)) 1))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (*.f64 x -1/24)) x)) 3))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (sqrt.f64 -1/24)))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (pow.f64 x 4) -1/24))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))) (/.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(.f64 x (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))) 1)
(.f64 1 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (.f64 x -1/24) 1/2)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 4)) (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))))
(.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (/.f64 1 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2))))
(.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4))) (/.f64 1 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))))
(.f64 (fma.f64 x (.f64 x -1/24) 1/2) (*.f64 x x))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))))
(/.f64 1 (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2)) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 x 1/2)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4))) (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 3))) (neg.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 1/4 (pow.f64 x 4)))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (-.f64 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)))
(pow.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2))) 1)
(pow.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 4) 1/2)
(pow.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) 3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (.f64 (pow.f64 x 4) -1/24)) (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))) -1)
(pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2)) (-.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (*.f64 1/4 (pow.f64 x 4)))) -1)
(sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 4))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24))) (sqrt.f64 (pow.f64 (exp.f64 x) x))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (exp.f64 (.f64 (pow.f64 x 4) -1/24))))
(log.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 4) -1/24)))))
(cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 6))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) 1) 1))
(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 -1/24 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x -1/24) (pow.f64 x 3) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x (.f64 x -1/24)) (.f64 x x) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x -1/24)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (pow.f64 x 4) -1/24) 1 (.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x (.f64 x 1/2)) 1 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1 (.f64 (pow.f64 x 4) -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 x 3) (.f64 x -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x 1/2))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (.f64 (cbrt.f64 x) (.f64 x (sqrt.f64 -1/24))) 2) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) (pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 2) (.f64 (cbrt.f64 (.f64 x -1/24)) x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 x x)) (.f64 x (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x 1/2) x (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 -1/24 (pow.f64 x 3)) x (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 1/2 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) 1) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (sqrt.f64 -1/24))) (.f64 x (sqrt.f64 -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) x (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))

Outputs
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 x 1/2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 0 (.f64 x (.f64 x -1/24)))
(.f64 -1/24 (.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x -1/24))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x -1/24)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 -1/24 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 -1/24 x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 -1/24 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x -1/24)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x -1/24)))))
(.f64 -1/24 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/24)))) 1)
(.f64 -1/24 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -1/24)) 1)
(.f64 -1/24 (.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 4) 1/576) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) 1/3)
(.f64 -1/24 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) 3)
(.f64 -1/24 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(.f64 -1/24 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))
(.f64 -1/24 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -1/24)))))
(.f64 -1/24 (.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6))
(.f64 -1/24 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/24))))
(.f64 -1/24 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -1/24))))
(.f64 -1/24 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x -1/24))))
(.f64 -1/24 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -1/24))) 1))
(.f64 -1/24 (.f64 x x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 -1/24)) 6)) 1/3))
(.f64 -1/24 (.f64 x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x -1/24)))) 3))
(.f64 -1/24 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/24))) 2))
(.f64 -1/24 (.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 x -1/24))) 1) 1))
(.f64 -1/24 (.f64 x x))
(+.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 4) -1/24)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24))) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) 1/2)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) 2)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (.f64 x (cbrt.f64 (.f64 x -1/24))) 3)
(*.f64 -1/24 (pow.f64 x 4))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24))))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(*.f64 -1/24 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -1/24)) 1))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (*.f64 x -1/24)) x)) 3))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (sqrt.f64 -1/24)))) 2))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (pow.f64 x 4) -1/24))) 1/3))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1) 1))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 3) 1/3))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2))))) 1)
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x 4) -1/24) 2) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))) (/.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) (fma.f64 x (.f64 x -1/24) -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 2) (.f64 -1/4 (pow.f64 x 4))) (.f64 (.f64 x x) (fma.f64 x (*.f64 -1/24 x) -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 -1/24 (pow.f64 x 4)) 2) (.f64 (pow.f64 x 4) -1/4)) (.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) -1/2)))
(/.f64 (fma.f64 1/576 (pow.f64 x 8) (.f64 (pow.f64 x 4) -1/4)) (.f64 (.f64 x x) (fma.f64 -1/24 (.f64 x x) -1/2)))
(.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(.f64 x (fma.f64 x 1/2 (.f64 -1/24 (pow.f64 x 3))))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))) 1)
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(.f64 1 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (.f64 x -1/24) 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 4)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) 4)))
(.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -1/24 (.f64 x x) 1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) 4)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 -1/24 (.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) 4)) (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 -1/24 (pow.f64 x 3) (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) 4)))
(.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -1/24 (.f64 x x) 1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) 4)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 -1/24 (.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) 4)))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -1/24) 1/2))) (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
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(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 x (.f64 -1/24 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 x -1/24) (pow.f64 x 3) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 x (.f64 x -1/24)) (.f64 x x) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 x x) (.f64 x (.f64 x -1/24)) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (pow.f64 x 4) -1/24) 1 (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 x (.f64 x 1/2)) 1 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 1 (.f64 (pow.f64 x 4) -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (pow.f64 x 3) (.f64 x -1/24) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (pow.f64 x 4) -1/24 (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) (.f64 x x)) (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 x x) (+.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (.f64 -1/24 (.f64 x x)))) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x 1/2))) (.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (.f64 (cbrt.f64 x) (.f64 x (sqrt.f64 -1/24))) 2) (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) (pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x -1/24)) x) 2) (.f64 (cbrt.f64 (.f64 x -1/24)) x) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 (.f64 x (sqrt.f64 -1/24)) (.f64 x x)) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/24 (pow.f64 x 3))) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x (sqrt.f64 -1/24))) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 x 1/2) x (.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 -1/24 (pow.f64 x 3)) x (.f64 x (*.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 1/2 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (.f64 x 1/2) 1) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (.f64 x (.f64 x -1/24))) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) (.f64 x x)) (.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) (.f64 x x)) (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 x x) (+.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (.f64 -1/24 (.f64 x x)))) 1/2))
(fma.f64 (.f64 (.f64 x x) (.f64 x (sqrt.f64 -1/24))) (.f64 x (sqrt.f64 -1/24)) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) 1) x (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 (.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 x (.f64 x 1/2) (.f64 -1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))

eval78.0ms (1.5%)

Compiler: Compiled 3121 to 2107 computations (32.5% saved)

prune27.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	175	7	182

Error

Counts

182 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 4) -1/24))
✓	0.0b	(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓	28.7b	(-.f64 1 (cos.f64 x))
✓	0.1b	(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
	0.1b	(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
✓	0.6b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 67 to 46 computations (31.3% saved)

regimes11.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Calls

3 calls:

5.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(-.f64 1 (cos.f64 x))`
0.0b	1	`(cos.f64 x)`

Compiler

Compiled 91 to 53 computations (41.8% saved)

regimes10.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 1 (cos.f64 x))`
0.1b	1	`(cos.f64 x)`

Compiler

Compiled 55 to 32 computations (41.8% saved)

regimes9.0ms (0.2%)

Accuracy

Total -28.7b remaining (-20142.5%)

Threshold costs -28.7b (-20142.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 1 (cos.f64 x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 1 (cos.f64 x))`
0.1b	1	`(cos.f64 x)`

Compiler

Compiled 35 to 21 computations (40% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	54
1	26	54

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(+.f64 (.f64 (.f64 x (.f64 x -1/24)) (.f64 x x)) (.f64 1/2 (.f64 x x)))
(.f64 1/2 (.f64 x x))

Compiler

Compiled 41 to 26 computations (36.6% saved)

soundness78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

632×	`times-frac_binary64`
444×	`div-sub_binary64`
439×	`associate-/l*_binary64`
400×	`distribute-rgt-in_binary64`
376×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	416
1	227	376
2	679	351
3	3229	351

Stop Event

1×	node limit

Compiler

Compiled 56 to 38 computations (32.1% saved)

end28.0ms (0.5%)

Compiler: Compiled 38 to 22 computations (42.1% saved)

Details

analyze0.0ms (0%)

sample3.8s (74.1%)

preprocess17.0ms (0.3%)

simplify7.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series1.0ms (0%)

rewrite63.0ms (1.2%)

simplify38.0ms (0.8%)

eval11.0ms (0.2%)

prune6.0ms (0.1%)

localize4.0ms (0.1%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite43.0ms (0.8%)

simplify42.0ms (0.8%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite53.0ms (1%)

simplify58.0ms (1.1%)

eval61.0ms (1.2%)

prune25.0ms (0.5%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite45.0ms (0.9%)

simplify48.0ms (0.9%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite87.0ms (1.7%)

simplify47.0ms (0.9%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite37.0ms (0.7%)

simplify39.0ms (0.8%)

eval63.0ms (1.2%)

prune45.0ms (0.9%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite78.0ms (1.5%)

simplify62.0ms (1.2%)

eval78.0ms (1.5%)

prune27.0ms (0.5%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

simplify3.0ms (0.1%)

soundness78.0ms (1.5%)

end28.0ms (0.5%)

Profiling