Metrics for sintan (problem 3.4.5)

analyze201.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample5.5s (53.1%)

Results

4.0s	2056×	body	2048	valid
863.0ms	4547×	body	256	valid
466.0ms	1006×	body	1024	valid
89.0ms	534×	body	512	valid
89.0ms	113×	body	4096	valid

Bogosity

preprocess335.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1158×	`fma-neg`
912×	`times-frac`
858×	`div-sub`
820×	`fma-def`
568×	`associate-/r*`

Problems

134×	No Errors
86×	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
32×	`(-.f64 x (tan.f64 x))`
4×	`(-.f64 x (sin.f64 x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	176
1	40	164
2	86	156
3	227	156
4	669	156
5	2289	156
6	3992	156
7	4608	156
8	4832	156
9	4872	156
10	4897	156
11	4933	156
12	4933	156

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 (neg.f64 x))) (-.f64 (neg.f64 x) (tan.f64 (neg.f64 x))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) (sin.f64 (neg.f64 x))) (-.f64 (neg.f64 x) (tan.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (neg.f64 (sin.f64 x)))) (-.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 (fma.f64 -1 x (sin.f64 x))) (fma.f64 -1 x (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x))

Symmetry

(abs x)

Compiler

Compiled 34 to 13 computations (61.8% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
▶	53.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize178.0ms (1.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	88.2%	(-.f64 x (tan.f64 x))
✓	88.2%	(-.f64 x (sin.f64 x))
✓	66.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite240.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1964×	`prod-diff`
1012×	`log1p-expm1-u`
667×	`expm1-log1p-u`
300×	`expm1-udef`
300×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	156	73
2	2536	73

Stop Event

1×	node limit

Counts

3 → 336

Calls

Call 1

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

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

simplify433.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-neg`
836×	`associate-+l+`
808×	`associate-+r+`
762×	`+-commutative`
510×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	870	45393
1	2158	34504
2	7989	34504

Stop Event

1×	node limit

Counts

372 → 478

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (+.f64 (.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))) 1/2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 x 2) (cos.f64 x))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 x 2) (cos.f64 x))) (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 x 2) (cos.f64 x)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 x 2) (cos.f64 x)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 1/6 (pow.f64 x 3)))))
x
(+.f64 x (*.f64 -1 (sin.f64 x)))
(+.f64 x (*.f64 -1 (sin.f64 x)))
(+.f64 x (*.f64 -1 (sin.f64 x)))
x
(+.f64 x (*.f64 -1 (sin.f64 x)))
(+.f64 x (*.f64 -1 (sin.f64 x)))
(+.f64 x (*.f64 -1 (sin.f64 x)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -2/15 (pow.f64 x 5)) (*.f64 -17/315 (pow.f64 x 7))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -2/15 (pow.f64 x 5)) (+.f64 (.f64 -17/315 (pow.f64 x 7)) (.f64 -62/2835 (pow.f64 x 9)))))
x
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
x
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))
(+.f64 (fma.f64 x (/.f64 1 (-.f64 x (tan.f64 x))) (neg.f64 (.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))) (sin.f64 x) (.f64 (/.f64 1 (-.f64 x (tan.f64 x))) (sin.f64 x))))
(+.f64 (fma.f64 x (/.f64 1 (-.f64 x (tan.f64 x))) (neg.f64 (.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 1))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))) 1 (.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))) 1)))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (cbrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 x (sin.f64 x))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 x (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 x (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (.f64 x (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 x (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 x (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (sin.f64 x))))
(fma.f64 1 x (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 x (*.f64 (neg.f64 (tan.f64 x)) 1))
(+.f64 (-.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (-.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 x (tan.f64 x)) (fma.f64 -1 (tan.f64 x) (tan.f64 x)))
(+.f64 (-.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) x)
(+.f64 (fma.f64 x 1 (neg.f64 (.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 x 1 (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (fma.f64 x 1 (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (fma.f64 x 1 (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 x 1 (neg.f64 (tan.f64 x))) (fma.f64 -1 (tan.f64 x) (tan.f64 x)))
(+.f64 (fma.f64 x 1 (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 1 x (neg.f64 (.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (tan.f64 x))) (fma.f64 -1 (tan.f64 x) (tan.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 x (tan.f64 x)) 1)
(*.f64 1 (-.f64 x (tan.f64 x)))
(*.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2) (cbrt.f64 (-.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 x (tan.f64 x))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (.f64 x (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 x (neg.f64 (tan.f64 x))))
(pow.f64 (-.f64 x (tan.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 x (tan.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (tan.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 x (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 x (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 x (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (tan.f64 x))))
(fma.f64 1 x (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (tan.f64 x)))

Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (pow.f64 x 2) -1/2)
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (pow.f64 x 2))) -1/2)
(fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 9/40 (pow.f64 x 2) -1/2))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (+.f64 (.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (pow.f64 x 2)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (pow.f64 x 2) -1/2))
(+.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 x 2) (cos.f64 x))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 x 2) (cos.f64 x))) (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(+.f64 1 (-.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 x 2) (cos.f64 x)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 x 2) (cos.f64 x)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(-.f64 (+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(+.f64 1 (-.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 2)))))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1/120 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/6))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6)))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 1/6 (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 -1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 1/6 (pow.f64 x 3)))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 (pow.f64 x 3) 1/6 (*.f64 1/5040 (pow.f64 x 7)))))
x
(+.f64 x (*.f64 -1 (sin.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 x (*.f64 -1 (sin.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 x (*.f64 -1 (sin.f64 x)))
(-.f64 x (sin.f64 x))
x
(+.f64 x (*.f64 -1 (sin.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 x (*.f64 -1 (sin.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 x (*.f64 -1 (sin.f64 x)))
(-.f64 x (sin.f64 x))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -2/15))
(fma.f64 (pow.f64 x 5) -2/15 (*.f64 (pow.f64 x 3) -1/3))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -2/15 (pow.f64 x 5)) (*.f64 -17/315 (pow.f64 x 7))))
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(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x)))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 x x (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (.f64 x (neg.f64 (tan.f64 x))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 x (neg.f64 (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x)))
(pow.f64 (-.f64 x (tan.f64 x)) 1)
(-.f64 x (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 3)
(-.f64 x (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 x (tan.f64 x)) 3) 1/3)
(-.f64 x (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 x (tan.f64 x))) 2)
(-.f64 x (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 x (tan.f64 x)) 2))
(fabs.f64 (-.f64 x (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (tan.f64 x)))))
(-.f64 x (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 x (tan.f64 x)) 3))
(-.f64 x (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(exp.f64 (log.f64 (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 x (tan.f64 x))) 1))
(-.f64 x (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 x (tan.f64 x))))
(-.f64 x (tan.f64 x))
(fma.f64 1 x (neg.f64 (tan.f64 x)))
(-.f64 x (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (tan.f64 x)))
(-.f64 x (tan.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (tan.f64 x)))
(-.f64 x (tan.f64 x))

eval368.0ms (3.5%)

Compiler: Compiled 21499 to 5826 computations (72.9% saved)

prune94.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	470	8	478
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	470	9	479

Accuracy

100.0%

Counts

479 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
✓	53.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
	30.0%	(/.f64 (+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))) (-.f64 x (tan.f64 x)))
▶	52.2%	(/.f64 x (-.f64 x (tan.f64 x)))
▶	47.7%	(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
▶	49.5%	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
▶	53.6%	(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
	52.5%	1
	47.7%	-1/2
▶	53.7%	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
✓	53.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
	30.0%	(/.f64 (+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))) (-.f64 x (tan.f64 x)))
▶	52.2%	(/.f64 x (-.f64 x (tan.f64 x)))
▶	47.7%	(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
▶	49.5%	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
▶	53.6%	(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
	52.5%	1
	47.7%	-1/2

Compiler

Compiled 332 to 216 computations (34.9% saved)

localize476.0ms (4.6%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	99.2%	(expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
	88.2%	(-.f64 x (tan.f64 x))
	88.2%	(-.f64 x (sin.f64 x))
	66.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	99.8%	(*.f64 -27/2800 (pow.f64 x 4))
✓	99.8%	(*.f64 9/40 (pow.f64 x 2))
✓	77.3%	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
✓	99.8%	(*.f64 9/40 (pow.f64 x 2))
✓	94.1%	(/.f64 x (-.f64 x (tan.f64 x)))
	88.2%	(-.f64 x (tan.f64 x))
	88.2%	(-.f64 x (tan.f64 x))
✓	66.6%	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
✓	57.4%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x)))

Compiler

Compiled 158 to 66 computations (58.2% saved)

series17.0ms (0.2%)

Counts

8 → 29

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x)))
2.0ms	x	@	-inf	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
1.0ms	x	@	inf	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
1.0ms	x	@	inf	(expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
1.0ms	x	@	-inf	(expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))

rewrite194.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1155×	`log1p-expm1-u`
554×	`expm1-udef`
554×	`log1p-udef`
242×	`associate-r`
166×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	206
1	407	206
2	5292	206

Stop Event

1×	node limit

Counts

8 → 211

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 4))
(expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))

Outputs
(+.f64 x (sin.f64 x))
(+.f64 (sin.f64 x) x)
(+.f64 (+.f64 x (sin.f64 x)) (fma.f64 (sin.f64 x) 1 (sin.f64 x)))
(+.f64 (+.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (+.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 x (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 x x (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 x (sin.f64 x))))
(-.f64 (+.f64 x 0) (sin.f64 x))
(*.f64 (+.f64 x (sin.f64 x)) 1)
(*.f64 1 (+.f64 x (sin.f64 x)))
(*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (cbrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (/.f64 1 (+.f64 x (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (pow.f64 (+.f64 x (sin.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 x 2) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (sin.f64 x)))))
(/.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (+.f64 x (sin.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2)) (+.f64 (neg.f64 x) (sin.f64 x)))
(pow.f64 (+.f64 x (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sin.f64 x))))
(exp.f64 (log.f64 (+.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 x))))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x)))))
(-.f64 (/.f64 x (+.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 1)
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 1)
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))
(.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))
(*.f64 (+.f64 (neg.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 (neg.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 2)
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) (+.f64 x (sin.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 (neg.f64 x) (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))
(fma.f64 x (/.f64 1 (+.f64 x (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x)))))
(fma.f64 1 (/.f64 x (+.f64 x (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (neg.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x)))))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (neg.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)
(*.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(*.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 x) (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 729/64000) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 9/40))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 9/40 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 9/40 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 8) 729/7840000) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 -9/40 (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 x 4) 81/1600) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 -9/40 (pow.f64 x 2)))))
(.f64 (fma.f64 9/40 (pow.f64 x 2) (.f64 -27/2800 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 9/40 (pow.f64 x 2) (.f64 -27/2800 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 9/40 (pow.f64 x 2) (.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (pow.f64 x 2) (.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 9/40 (pow.f64 x 2) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) (.f64 (pow.f64 x 6) 729/64000)) (/.f64 1 (-.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))))))
(.f64 (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600)) (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 -9/40 (pow.f64 x 2)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))) (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) (*.f64 (pow.f64 x 6) 729/64000))))
(/.f64 1 (/.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 -9/40 (pow.f64 x 2))) (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) (.f64 (pow.f64 x 6) 729/64000)) (-.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) (.f64 (pow.f64 x 6) 729/64000)) (+.f64 (.f64 (pow.f64 x 4) 81/1600) (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 -9/40 (pow.f64 x 2))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) (.f64 (pow.f64 x 6) 729/64000))) (neg.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600))) (neg.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 -9/40 (pow.f64 x 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))))
(pow.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 9/40 (pow.f64 x 2) (.f64 -27/2800 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 2) 9/40 (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 4) -27/2800 (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 1 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 1 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (.f64 9/40 (pow.f64 x 2))) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (.f64 (pow.f64 x 2) (sqrt.f64 -27/2800)) (.f64 (pow.f64 x 2) (sqrt.f64 -27/2800)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 (.f64 x (sqrt.f64 9/40)) (.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 729/64000) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 9/40))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 9/40 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 9/40 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -27/2800)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(+.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) -1)
(-.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1)
(*.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1)
(*.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 2) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3) 1) (+.f64 (.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) (+.f64 1 (.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 1) (+.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1))
(pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))

simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

832×	`log-prod`
580×	`fma-neg`
526×	`associate-r`
496×	`exp-prod`
468×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	554	11101
1	1368	10571
2	5577	10505

Stop Event

1×	node limit

Counts

240 → 314

Calls

Call 1

Inputs
(*.f64 -1 x)
(/.f64 3 (pow.f64 x 2))
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6/5 (.f64 1/175 (pow.f64 x 2))) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6/5 (+.f64 (.f64 2/7875 (pow.f64 x 4)) (.f64 1/175 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))))))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(-.f64 (exp.f64 -1/2) 1)
(-.f64 (+.f64 (exp.f64 -1/2) (.f64 9/40 (.f64 (pow.f64 x 2) (exp.f64 -1/2)))) 1)
(-.f64 (+.f64 (exp.f64 -1/2) (+.f64 (.f64 351/22400 (.f64 (pow.f64 x 4) (exp.f64 -1/2))) (.f64 9/40 (.f64 (pow.f64 x 2) (exp.f64 -1/2))))) 1)
(-.f64 (+.f64 (exp.f64 -1/2) (+.f64 (.f64 -27/896000 (.f64 (pow.f64 x 6) (exp.f64 -1/2))) (+.f64 (.f64 351/22400 (.f64 (pow.f64 x 4) (exp.f64 -1/2))) (.f64 9/40 (.f64 (pow.f64 x 2) (exp.f64 -1/2)))))) 1)
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (exp.f64 1) (/.f64 (.f64 (exp.f64 1) (-.f64 (.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) x)) 1)
(-.f64 (+.f64 (exp.f64 1) (+.f64 (/.f64 (.f64 (exp.f64 1) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)))) (pow.f64 x 2)) (/.f64 (.f64 (exp.f64 1) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) x))) 1)
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(/.f64 1 (/.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 -9/40 (pow.f64 x 2))) (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) (.f64 (pow.f64 x 6) 729/64000)) (-.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) (.f64 (pow.f64 x 6) 729/64000)) (+.f64 (.f64 (pow.f64 x 4) 81/1600) (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 -9/40 (pow.f64 x 2))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) (.f64 (pow.f64 x 6) 729/64000))) (neg.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) 81/1600))) (neg.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 -9/40 (pow.f64 x 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))))
(pow.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 9/40 (pow.f64 x 2) (.f64 -27/2800 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 9/40 (pow.f64 x 2) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 2) 9/40 (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 4) -27/2800 (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 1 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 1 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (.f64 9/40 (pow.f64 x 2))) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (.f64 (pow.f64 x 2) (sqrt.f64 -27/2800)) (.f64 (pow.f64 x 2) (sqrt.f64 -27/2800)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 (.f64 x (sqrt.f64 9/40)) (.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 9/40 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 729/64000) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 9/40))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 9/40 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 9/40 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -27/2800)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(+.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) -1)
(-.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1)
(*.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1)
(*.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 2) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3) 1) (+.f64 (.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) (+.f64 1 (.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 1) (+.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1))
(pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(/.f64 3 (pow.f64 x 2))
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (pow.f64 x 2)))
(+.f64 6/5 (/.f64 -3 (pow.f64 x 2)))
(-.f64 (+.f64 6/5 (.f64 1/175 (pow.f64 x 2))) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 6/5 (-.f64 (*.f64 (pow.f64 x 2) 1/175) (/.f64 3 (pow.f64 x 2))))
(+.f64 6/5 (fma.f64 (pow.f64 x 2) 1/175 (/.f64 -3 (pow.f64 x 2))))
(-.f64 (+.f64 6/5 (+.f64 (.f64 2/7875 (pow.f64 x 4)) (.f64 1/175 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 6/5 (-.f64 (fma.f64 2/7875 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/175)) (/.f64 3 (pow.f64 x 2))))
(+.f64 6/5 (+.f64 (*.f64 2/7875 (pow.f64 x 4)) (fma.f64 (pow.f64 x 2) 1/175 (/.f64 -3 (pow.f64 x 2)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 3))))
(+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 3)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 3)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 3))))
(+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 3)))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 3)))))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 9/40)
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -27/2800)
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -27/2800)
(-.f64 (exp.f64 -1/2) 1)
(expm1.f64 -1/2)
(-.f64 (+.f64 (exp.f64 -1/2) (.f64 9/40 (.f64 (pow.f64 x 2) (exp.f64 -1/2)))) 1)
(+.f64 (exp.f64 -1/2) (-.f64 (.f64 9/40 (.f64 (pow.f64 x 2) (exp.f64 -1/2))) 1))
(+.f64 (.f64 (pow.f64 x 2) (.f64 9/40 (exp.f64 -1/2))) (expm1.f64 -1/2))
(fma.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/40) 1) (exp.f64 -1/2) -1)
(-.f64 (+.f64 (exp.f64 -1/2) (+.f64 (.f64 351/22400 (.f64 (pow.f64 x 4) (exp.f64 -1/2))) (.f64 9/40 (.f64 (pow.f64 x 2) (exp.f64 -1/2))))) 1)
(+.f64 (exp.f64 -1/2) (-.f64 (fma.f64 351/22400 (.f64 (pow.f64 x 4) (exp.f64 -1/2)) (.f64 9/40 (*.f64 (pow.f64 x 2) (exp.f64 -1/2)))) 1))
(+.f64 (.f64 (exp.f64 -1/2) (+.f64 (.f64 (pow.f64 x 2) 9/40) (*.f64 (pow.f64 x 4) 351/22400))) (expm1.f64 -1/2))
(-.f64 (+.f64 (exp.f64 -1/2) (+.f64 (.f64 -27/896000 (.f64 (pow.f64 x 6) (exp.f64 -1/2))) (+.f64 (.f64 351/22400 (.f64 (pow.f64 x 4) (exp.f64 -1/2))) (.f64 9/40 (.f64 (pow.f64 x 2) (exp.f64 -1/2)))))) 1)
(+.f64 (exp.f64 -1/2) (-.f64 (fma.f64 -27/896000 (.f64 (exp.f64 -1/2) (pow.f64 x 6)) (fma.f64 351/22400 (.f64 (pow.f64 x 4) (exp.f64 -1/2)) (.f64 9/40 (.f64 (pow.f64 x 2) (exp.f64 -1/2))))) 1))
(+.f64 (fma.f64 -27/896000 (.f64 (exp.f64 -1/2) (pow.f64 x 6)) (.f64 (exp.f64 -1/2) (+.f64 (.f64 (pow.f64 x 2) 9/40) (.f64 (pow.f64 x 4) 351/22400)))) (expm1.f64 -1/2))
(-.f64 (exp.f64 1) 1)
(expm1.f64 1)
(-.f64 (+.f64 (exp.f64 1) (/.f64 (.f64 (exp.f64 1) (-.f64 (.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) x)) 1)
(+.f64 (E.f64) (-.f64 (/.f64 (E.f64) (/.f64 x (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) 1))
(+.f64 (*.f64 (/.f64 (E.f64) x) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (expm1.f64 1))
(+.f64 (E.f64) (fma.f64 (/.f64 (E.f64) x) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) -1))
(-.f64 (+.f64 (exp.f64 1) (+.f64 (/.f64 (.f64 (exp.f64 1) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)))) (pow.f64 x 2)) (/.f64 (.f64 (exp.f64 1) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) x))) 1)
(+.f64 (+.f64 (+.f64 (E.f64) (/.f64 (E.f64) (/.f64 (pow.f64 x 2) (fma.f64 1/2 (pow.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (/.f64 (.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)))))) (/.f64 (E.f64) (/.f64 x (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) -1)
(+.f64 (+.f64 (.f64 (/.f64 (E.f64) (pow.f64 x 2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (/.f64 (E.f64) x) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (expm1.f64 1))
(+.f64 (E.f64) (+.f64 (.f64 (/.f64 (E.f64) (pow.f64 x 2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (fma.f64 (/.f64 (E.f64) x) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) -1)))
(-.f64 (+.f64 (exp.f64 1) (+.f64 (/.f64 (.f64 (exp.f64 1) (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 3)) (+.f64 (/.f64 (.f64 (sin.f64 x) (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) (cos.f64 x)) (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (exp.f64 1) (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)))) (pow.f64 x 2)) (/.f64 (.f64 (exp.f64 1) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) x)))) 1)
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(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3) 1) (+.f64 (.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) (+.f64 1 (.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) (+.f64 1 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3)) (+.f64 1 (+.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) (exp.f64 (*.f64 2 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3)) (+.f64 1 (+.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) (pow.f64 (exp.f64 2) (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 1) (+.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) -1) (+.f64 1 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(/.f64 (expm1.f64 (*.f64 2 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) (+.f64 1 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1)
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 3)
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3) 1/3)
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 2)
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 2))
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3))
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) 1))
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))
(expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))

eval795.0ms (7.7%)

Compiler: Compiled 40861 to 14106 computations (65.5% saved)

prune304.0ms (2.9%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1404	1	1405
Fresh	1	2	3
Picked	0	5	5
Done	0	1	1
Total	1405	9	1414

Accuracy

100.0%

Counts

1414 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
✓	53.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	52.2%	(/.f64 x (-.f64 x (tan.f64 x)))
✓	47.7%	(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
✓	49.5%	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
▶	53.7%	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))))
✓	53.6%	(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
	52.5%	1
	47.7%	-1/2
✓	53.7%	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
✓	53.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	52.2%	(/.f64 x (-.f64 x (tan.f64 x)))
✓	47.7%	(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
✓	49.5%	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
▶	53.7%	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))))
✓	53.6%	(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
	52.5%	1
	47.7%	-1/2

Compiler

Compiled 170 to 118 computations (30.6% saved)

localize298.0ms (2.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.2%	(expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x))))
	88.2%	(-.f64 x (tan.f64 x))
	66.6%	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
	57.4%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x)))

Compiler

Compiled 66 to 11 computations (83.3% saved)

series6.0ms (0.1%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x))))
3.0ms	x	@	inf	(expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x))))
0.0ms	x	@	0	(expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x))))

Time

Variable

Point

Expression

3.0ms

-inf

(expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x))))

3.0ms

inf

(expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x))))

0.0ms

(expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x))))

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`prod-diff`
893×	`log1p-expm1-u`
892×	`expm1-log1p-u`
506×	`fma-def`
310×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	205	43
2	2764	43

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x))))

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

880×	`log-prod`
864×	`fma-def`
838×	`distribute-rgt-in`
822×	`distribute-lft-in`
560×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	1387
1	131	1319
2	374	1281
3	2434	1271
4	7322	1271

Stop Event

1×	node limit

Counts

27 → 31

Calls

Call 1

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

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

eval61.0ms (0.6%)

Compiler: Compiled 4441 to 1478 computations (66.7% saved)

prune120.0ms (1.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	2	2
Picked	0	1	1
Done	0	6	6
Total	210	9	219

Accuracy

100.0%

Counts

219 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
✓	53.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	52.2%	(/.f64 x (-.f64 x (tan.f64 x)))
✓	47.7%	(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
✓	49.5%	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓	53.7%	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))))
✓	53.6%	(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
	52.5%	1
	47.7%	-1/2
✓	53.7%	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
✓	53.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	52.2%	(/.f64 x (-.f64 x (tan.f64 x)))
✓	47.7%	(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
✓	49.5%	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓	53.7%	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))))
✓	53.6%	(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
	52.5%	1
	47.7%	-1/2

Compiler

Compiled 170 to 118 computations (30.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	7	7
Total	9	9

Accuracy

100.0%

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
✓	53.6%	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓	52.2%	(/.f64 x (-.f64 x (tan.f64 x)))
✓	47.7%	(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
✓	49.5%	(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
✓	53.7%	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))))
✓	53.6%	(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
	52.5%	1
	47.7%	-1/2

Compiler

Compiled 182 to 98 computations (46.2% saved)

regimes20.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

Inputs
-1/2
1
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x))) (-.f64 x (tan.f64 x)))))
(/.f64 (+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))) (-.f64 x (tan.f64 x)))

Outputs
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))

Calls

2 calls:

14.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	2	`x`
99.7%	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 109 to 46 computations (57.8% saved)

regimes15.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
-1/2
1
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)

Outputs
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 40 to 27 computations (32.5% saved)

regimes10.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`x`

Compiler

Compiled 27 to 16 computations (40.7% saved)

regimes12.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

Outputs
-1/2
1

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/2

Outputs
-1/2

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
47.7%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.001833032273388261	0.8898273142631409

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 238 to 185 computations (22.3% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.001833032273388261	0.8898273142631409

Results

20.0ms

128×

body

256

valid

Compiler

Compiled 222 to 169 computations (23.9% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.001833032273388261	0.8898273142631409

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 174 to 129 computations (25.9% saved)

bsearch48.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	0.8898273142631409	9488.226409310091

Results

46.0ms

128×

body

256

valid

Compiler

Compiled 110 to 97 computations (11.8% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.8898273142631409	9488.226409310091

Results

19.0ms

128×

body

256

valid

Compiler

Compiled 62 to 57 computations (8.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
14×	`sub-neg`
10×	`*-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	319
1	55	319
2	66	319
3	72	319
4	75	319

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 1080863910568919/36028797018963968) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2) (log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))))
(if (<=.f64 x 1080863910568919/36028797018963968) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
(if (<=.f64 x 5764607523034235/1152921504606846976) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
(if (<=.f64 x 5/2) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) 1)
(if (<=.f64 x 3602879701896397/2251799813685248) -1/2 1)
-1/2

Outputs
(if (<=.f64 x 1080863910568919/36028797018963968) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2) (log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))))
(if (<=.f64 x 1080863910568919/36028797018963968) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
(if (<=.f64 x 5764607523034235/1152921504606846976) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))
(if (<=.f64 x 5/2) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) 1)
(if (<=.f64 x 3602879701896397/2251799813685248) -1/2 1)
-1/2

Compiler

Compiled 99 to 76 computations (23.2% saved)

soundness204.0ms (2%)

Rules

1964×	`prod-diff`
1012×	`log1p-expm1-u`
667×	`expm1-log1p-u`
300×	`expm1-udef`
300×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	156	73
2	2536	73

Stop Event

1×	node limit

Compiler

Compiled 21 to 8 computations (61.9% saved)

end0.0ms (0%)

preprocess73.0ms (0.7%)

Compiler: Compiled 324 to 222 computations (31.5% saved)

analyze201.0ms (1.9%)

sample5.5s (53.1%)

preprocess335.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize178.0ms (1.7%)

series4.0ms (0%)

rewrite240.0ms (2.3%)

simplify433.0ms (4.2%)

eval368.0ms (3.5%)

prune94.0ms (0.9%)

localize476.0ms (4.6%)

series17.0ms (0.2%)

rewrite194.0ms (1.9%)

simplify139.0ms (1.3%)

eval795.0ms (7.7%)

prune304.0ms (2.9%)

localize298.0ms (2.9%)

series6.0ms (0.1%)

rewrite65.0ms (0.6%)

simplify55.0ms (0.5%)

eval61.0ms (0.6%)

prune120.0ms (1.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune7.0ms (0.1%)

regimes20.0ms (0.2%)

regimes15.0ms (0.1%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch16.0ms (0.1%)

bsearch48.0ms (0.5%)

bsearch24.0ms (0.2%)

simplify8.0ms (0.1%)

soundness204.0ms (2%)

end0.0ms (0%)

preprocess73.0ms (0.7%)

Profiling