Metrics for arccos

analyze4.0ms (0.1%)

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%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (25.1%)

Results

1.2s	8256×	body	256	valid
0.0ms	5×	body	256	invalid

Bogosity

preprocess146.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1506×	`fma-def`
396×	`div-sub`
248×	`times-frac`
186×	`associate-/r*`
174×	`distribute-lft-in`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	164
1	47	156
2	79	156
3	156	156
4	384	156
5	974	156
6	1766	156
7	2165	156
8	2485	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))))))
(neg.f64 (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)))))))

Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(neg.f64 (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)))))))
(*.f64 -2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -2)

Compiler

Compiled 58 to 45 computations (22.4% 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
▶	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize79.0ms (1.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
✓	100.0%	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
✓	100.0%	(/.f64 (-.f64 1 x) (+.f64 1 x))

Compiler

Compiled 46 to 35 computations (23.9% saved)

series5.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms	x	@	inf	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms	x	@	inf	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms	x	@	0	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms	x	@	-inf	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

rewrite155.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`log1p-expm1-u`
787×	`expm1-log1p-u`
748×	`log-prod`
622×	`prod-diff`
478×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	153	87
2	2088	87

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

Inputs
(/.f64 (-.f64 1 x) (+.f64 1 x))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Outputs
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1)) (/.f64 x (+.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2)))))) (fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (-.f64 1 (pow.f64 x 2))) (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (*.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (*.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1)) (/.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2)))))) (fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (-.f64 1 (pow.f64 x 2))) (*.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
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(exp.f64 (.f64 (.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/4)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

simplify173.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

926×	`associate-+r+`
874×	`times-frac`
526×	`exp-prod`
422×	`fma-neg`
372×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	570	19300
1	1347	16377
2	4299	8876

Stop Event

1×	node limit

Counts

222 → 311

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (+.f64 (.f64 -2 x) (.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 2 (.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1)) (/.f64 x (+.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2)))))) (fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (-.f64 1 (pow.f64 x 2))) (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (*.f64 (/.f64 x (+.f64 1 x)) 1)))
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(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (neg.f64 (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1)) (/.f64 x (+.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (neg.f64 (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2)))))) (fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (-.f64 1 (pow.f64 x 2))) (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 -1 x -1)))
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 5/6) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 6)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 2/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 4)
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/4)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Outputs
1
(+.f64 1 (*.f64 -2 x))
(fma.f64 -2 x 1)
(+.f64 1 (+.f64 (.f64 -2 x) (.f64 2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -2 x (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (.f64 x (+.f64 -2 (.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -2 x (fma.f64 -2 (pow.f64 x 3) (*.f64 2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -2 x 1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -2 x) 2)))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) -1) (/.f64 2 (pow.f64 x 2)))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (log.f64 (exp.f64 1)))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (log.f64 (exp.f64 1)))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (fma.f64 x -1 -1)))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/4)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1/2))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2) 1))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

eval177.0ms (3.6%)

Compiler: Compiled 8989 to 7111 computations (20.9% saved)

prune47.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	307	4	311
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	307	5	312

Accuracy

100.0%

Counts

312 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
▶	100.0%	(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
▶	98.2%	(*.f64 2 (atan.f64 (-.f64 1 x)))
▶	98.5%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (*.f64 x 1/2))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	100.0%	(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
▶	100.0%	(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
▶	98.2%	(*.f64 2 (atan.f64 (-.f64 1 x)))
▶	98.5%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (*.f64 x 1/2))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 122 to 104 computations (14.8% saved)

localize322.0ms (6.6%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
✓	100.0%	(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))
✓	100.0%	(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
	100.0%	(/.f64 (-.f64 1 x) (+.f64 1 x))
✓	100.0%	(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
✓	100.0%	(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
✓	100.0%	(/.f64 (+.f64 1 x) (-.f64 1 x))
✓	100.0%	(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	100.0%	(atan.f64 (-.f64 1 x))
✓	100.0%	(+.f64 1 (.f64 x (+.f64 -1 (.f64 x 1/2))))
✓	100.0%	(atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (.f64 x 1/2)))))
✓	100.0%	(.f64 x (+.f64 -1 (.f64 x 1/2)))

Compiler

Compiled 190 to 149 computations (21.6% saved)

series8.0ms (0.2%)

Counts

11 → 116

Calls

33 calls:

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

rewrite145.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`log1p-expm1-u`
606×	`expm1-udef`
604×	`log1p-udef`
266×	`associate-r`
187×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	338
1	415	294
2	5634	294

Stop Event

1×	node limit

Counts

11 → 302

Calls

Call 1

Inputs
(.f64 x (+.f64 -1 (.f64 x 1/2)))
(atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (.f64 x 1/2)))))
(+.f64 1 (.f64 x (+.f64 -1 (.f64 x 1/2))))
(atan.f64 (-.f64 1 x))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)

Outputs
(+.f64 (neg.f64 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (neg.f64 x))
(+.f64 (.f64 (neg.f64 x) 1) (.f64 (*.f64 1/2 (pow.f64 x 2)) 1))
(-.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1) 1)
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (.f64 1/2 (pow.f64 x 2)) 3)) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (pow.f64 x 2))) (.f64 (neg.f64 x) (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (pow.f64 x 2)))) (-.f64 (neg.f64 x) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 -1 (.f64 (pow.f64 x 3) 1/8))) (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 1/2))))
(/.f64 (.f64 x (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (+.f64 -1 (*.f64 -1/2 x)))
(/.f64 (.f64 (+.f64 -1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 1/2))))
(/.f64 (.f64 (-.f64 1 (.f64 1/4 (pow.f64 x 2))) x) (+.f64 -1 (*.f64 -1/2 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/2 -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(fma.f64 x -1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))) 1)
(*.f64 1 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))
(*.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 2) (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(pow.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 2))
(log.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(exp.f64 (log.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1)))) (/.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2) (-.f64 1 (*.f64 x (fma.f64 x 1/2 -1)))))
(*.f64 1 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(*.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))
(.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (.f64 x (fma.f64 x 1/2 -1)))))
(.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x 1/2 -1)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (.f64 x (fma.f64 x 1/2 -1))) (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1))) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2))))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (-.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (*.f64 x (fma.f64 x 1/2 -1))))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2) (-.f64 1 (*.f64 x (fma.f64 x 1/2 -1)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (-.f64 1 (.f64 x (fma.f64 x 1/2 -1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (*.f64 x (fma.f64 x 1/2 -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2))) (neg.f64 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2) 1) (-.f64 (.f64 x (fma.f64 x 1/2 -1)) 1))
(pow.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(fma.f64 (fma.f64 x 1/2 -1) x 1)
(fma.f64 1 (*.f64 x (fma.f64 x 1/2 -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) 2) (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) 1)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) 1)
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x)))) 1)
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 x 1))))
(.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/8) (.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4) -1))
(.f64 (.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/8)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (-.f64 1 x)))
(.f64 (.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 2) 1/4)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 3) 1/3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
(.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(.f64 (hypot.f64 1 (sqrt.f64 x)) (.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 (-.f64 1 x))))
(.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4) (.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 1 x)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) (+.f64 -1 (neg.f64 x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(/.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) -1)
(/.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x))) (sqrt.f64 (neg.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 x 1))))
(.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/8) (.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4) -1))
(.f64 (.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/8)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (-.f64 1 x)))
(.f64 (.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 1 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 -1 (neg.f64 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4))) 1)
(*.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/8))
(*.f64 (pow.f64 1 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (/.f64 1 (+.f64 x 1)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) 1/4) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1/4) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(/.f64 1 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/4))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(fabs.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)))
(exp.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1/4)))

simplify175.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-neg`
660×	`exp-prod`
612×	`associate-r`
592×	`cube-prod`
574×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	673	15581
1	1588	14567
2	5844	14543

Stop Event

1×	node limit

Counts

418 → 419

Calls

Call 1

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

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1))))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1))))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1))))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1))))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(atan.f64 (+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (-.f64 1 x) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1) (*.f64 -1/2 (pow.f64 x 3)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 2 (.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (sqrt.f64 -1)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 x 2))
(fma.f64 x 2 1)
(+.f64 1 (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 x 1) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (fma.f64 1/2 (pow.f64 x 2) 1))
(+.f64 1 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (pow.f64 x 3)))))
(+.f64 (+.f64 x 1) (*.f64 1/2 (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(+.f64 1 (fma.f64 1/2 (fma.f64 x x (pow.f64 x 3)) x))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (-.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 -1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (-.f64 (.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (-.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 -1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 -1/2 (/.f64 (-.f64 2 (.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
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1
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1
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(pow.f64 (exp.f64 1/4) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
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eval369.0ms (7.6%)

Compiler: Compiled 15507 to 12735 computations (17.9% saved)

prune197.0ms (4.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	617	2	619
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	617	7	624

Accuracy

100.0%

Counts

624 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
▶	98.2%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 x 1))))
✓	100.0%	(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
✓	98.2%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	98.5%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (*.f64 x 1/2))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	97.1%	(*.f64 2 (atan.f64 1))
✓	100.0%	(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
▶	98.2%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 x 1))))
✓	100.0%	(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
✓	98.2%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	98.5%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (*.f64 x 1/2))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	97.1%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 150 to 130 computations (13.3% saved)

localize92.0ms (1.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(atan.f64 (/.f64 1 (+.f64 x 1)))
✓	100.0%	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 35 to 30 computations (14.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`unpow-prod-down`
443×	`log1p-expm1-u`
443×	`expm1-log1p-u`
426×	`log-prod`
418×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	104	36
2	1279	36

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(/.f64 1 (+.f64 x 1))
(atan.f64 (/.f64 1 (+.f64 x 1)))

Outputs
(+.f64 0 (/.f64 1 (+.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(*.f64 (/.f64 1 (+.f64 1 x)) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x)) -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x -1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -5/2)) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 x) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 1 x) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -2)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(pow.f64 (E.f64) (neg.f64 (log1p.f64 x)))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 x))) -1)
(pow.f64 (exp.f64 -1) (log1p.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 0 (atan.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

904×	`fma-def`
792×	`fma-neg`
728×	`sqr-pow`
614×	`unswap-sqr`
546×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	236	2991
1	545	2885
2	1414	2820
3	5422	2786

Stop Event

1×	node limit

Counts

106 → 124

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(+.f64 0 (/.f64 1 (+.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(*.f64 (/.f64 1 (+.f64 1 x)) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x)) -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x -1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -5/2)) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 x) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 1 x) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -2)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(pow.f64 (E.f64) (neg.f64 (log1p.f64 x)))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 x))) -1)
(pow.f64 (exp.f64 -1) (log1p.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 0 (atan.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))

Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (pow.f64 x 2)))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1 x (fma.f64 -1 (pow.f64 x 3) (pow.f64 x 2))))
(+.f64 (-.f64 1 x) (-.f64 (pow.f64 x 2) (pow.f64 x 3)))
(-.f64 (fma.f64 x (+.f64 -1 x) 1) (pow.f64 x 3))
(-.f64 1 (fma.f64 x (-.f64 1 x) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(+.f64 0 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 -1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) (log.f64 (E.f64)))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 x (+.f64 -1 x) 1) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x)) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 x (+.f64 -1 x) 1) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x -1)) -1))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 3))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (+.f64 1 x) -3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (+.f64 1 x) -3/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -3/2)) (cbrt.f64 (pow.f64 (+.f64 1 x) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) -3/2) 1/6) 4)
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (pow.f64 (+.f64 1 x) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (pow.f64 (+.f64 1 x) -2))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -5/2)) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (+.f64 1 x) -3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (+.f64 1 x) -3/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -3/2)) (cbrt.f64 (pow.f64 (+.f64 1 x) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) -3/2) 1/6) 4)
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (pow.f64 (+.f64 1 x) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (pow.f64 (+.f64 1 x) -2))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -5/2)) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (cbrt.f64 (+.f64 1 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (pow.f64 (+.f64 1 x) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 x) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3) -1/6) (pow.f64 (pow.f64 (+.f64 1 x) 3) -1/6))
(pow.f64 (pow.f64 (+.f64 1 x) -2) 1/2)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(pow.f64 (sqrt.f64 (+.f64 1 x)) -2)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 x)))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 x))) -1)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (exp.f64 -1) (log1p.f64 x))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(exp.f64 (neg.f64 (log1p.f64 x)))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 x))) 3))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 x))) 1/3))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 x)) 2))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(+.f64 0 (atan.f64 (/.f64 1 (+.f64 1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (log.f64 (E.f64)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 1 (+.f64 1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x)))) 8)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x))))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x)))) 8)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x))))))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1/2)
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x)))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 -1 (-.f64 -1 x))))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1/3))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))

eval50.0ms (1%)

Compiler: Compiled 1772 to 1535 computations (13.4% saved)

prune23.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	123	8	131

Accuracy

100.0%

Counts

131 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))
✓	100.0%	(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
✓	98.2%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 x 1))))
✓	100.0%	(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
✓	98.2%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	98.5%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (*.f64 x 1/2))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	97.1%	(*.f64 2 (atan.f64 1))
▶	98.2%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))
✓	100.0%	(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
✓	98.2%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 x 1))))
✓	100.0%	(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
✓	98.2%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	98.5%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (*.f64 x 1/2))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	97.1%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 176 to 154 computations (12.5% saved)

localize90.0ms (1.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓	100.0%	(atan.f64 (/.f64 1 (+.f64 1 x)))
✓	100.0%	(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
✓	100.0%	(/.f64 1 (+.f64 1 x))

Compiler

Compiled 49 to 42 computations (14.3% saved)

series1.0ms (0%)

Counts

4 → 32

Calls

12 calls:

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

rewrite90.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`fma-def`
771×	`log1p-expm1-u`
770×	`expm1-log1p-u`
614×	`log-prod`
572×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	106
1	164	82
2	2373	82

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 x))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(atan.f64 (/.f64 1 (+.f64 1 x)))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))

Outputs
(+.f64 0 (/.f64 1 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(*.f64 (/.f64 1 (+.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(pow.f64 (+.f64 1 x) -1)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 x))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 x) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))
(+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 0)
(+.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) -1)
(+.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) (log.f64 (exp.f64 -1)))
(+.f64 -1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 0 (atan.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1)
(+.f64 (log.f64 (exp.f64 1)) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(.f64 (expm1.f64 (.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (/.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (-.f64 1 (.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (neg.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))) (-.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))) -1)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(hypot.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (atan.f64 (/.f64 1 (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(fma.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))) 0)
(fma.f64 1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) -1)
(fma.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1)
(fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1 0)
(fma.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1) -1)
(fma.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1) -1)
(fma.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (/.f64 1 (fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (/.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)) (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))) (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)) (sqrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1) (-.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) 0)
(+.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))
(+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 0)
(+.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) -1)
(+.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) (log.f64 (exp.f64 -1)))
(+.f64 -1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 0 (atan.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1)
(+.f64 (log.f64 (exp.f64 1)) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) (log.f64 (exp.f64 1)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (/.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)))
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(.f64 (expm1.f64 (.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (/.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (-.f64 1 (.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (neg.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))) (-.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))) -1)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(hypot.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (atan.f64 (/.f64 1 (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(fma.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))) 0)
(fma.f64 1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) -1)
(fma.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1)
(fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1 0)
(fma.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1) -1)
(fma.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1) -1)
(fma.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (/.f64 1 (fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (/.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)) (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))) (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)) (sqrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1) (-.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) 0)
(-.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) (/.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(*.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) (.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) (.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1))
(*.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (/.f64 1 (fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1) (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))) (neg.f64 (fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))) (neg.f64 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1) (fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) 1) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) -1) 1) (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3))
(expm1.f64 (log.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)))
(exp.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(fma.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(fma.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) -1)
(fma.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1 1)
(fma.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (/.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) 1)
(fma.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))) (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (sqrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) 1)

simplify106.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1054×	`unswap-sqr`
1000×	`cancel-sign-sub-inv`
930×	`fma-neg`
802×	`associate-+r+`
370×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	9957
1	742	9542
2	2403	9381

Stop Event

1×	node limit

Counts

253 → 220

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (pow.f64 x 2))
(fma.f64 x (+.f64 -1 x) 1)
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))))
(+.f64 (-.f64 1 x) (fma.f64 -1 (pow.f64 x 3) (pow.f64 x 2)))
(+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 3)) (-.f64 1 x))
(-.f64 (fma.f64 x (+.f64 -1 x) 1) (pow.f64 x 3))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 2))) (/.f64 -1 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 2))) (/.f64 -1 (pow.f64 x 4))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 0 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 x))
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 1 (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) (log.f64 (exp.f64 1)))
(/.f64 1 (+.f64 1 x))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))
(/.f64 1 (+.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))
(/.f64 (fma.f64 x (+.f64 -1 x) 1) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))
(pow.f64 (+.f64 1 x) -1)
(/.f64 1 (+.f64 1 x))
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 1 (+.f64 1 x))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(/.f64 1 (+.f64 1 x))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)
(/.f64 1 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(/.f64 1 (+.f64 1 x))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 x))) -1)
(/.f64 1 (+.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(/.f64 1 (+.f64 1 x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))
(/.f64 1 (+.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) -1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) -1) 1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 x))) 3))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 x))) 1/3))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 x)) 2))
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(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (+.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (+.f64 2 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)))))
(+.f64 1 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (+.f64 1 (.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) (+.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (/.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (/.f64 1 (+.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (+.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(fma.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1 -1)
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))) (cbrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) -1)
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (sqrt.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) -1)
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1/2)) 1)

eval102.0ms (2.1%)

Compiler: Compiled 4637 to 4209 computations (9.2% saved)

prune43.0ms (0.9%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	219	9	228

Accuracy

100.0%

Counts

228 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.2%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))
	98.2%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓	100.0%	(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
✓	98.2%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 x 1))))
✓	100.0%	(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
✓	98.2%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	98.5%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (*.f64 x 1/2))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	97.1%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 190 to 166 computations (12.6% saved)

regimes95.0ms (2%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 x 1))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (*.f64 x 1/2))))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))

Outputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))

Calls

5 calls:

79.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
5.0ms	x
3.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))`
100.0%	1	`(/.f64 (-.f64 1 x) (+.f64 1 x))`

Compiler

Compiled 132 to 111 computations (15.9% saved)

regimes18.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Calls

5 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))`
100.0%	1	`(/.f64 (-.f64 1 x) (+.f64 1 x))`

Compiler

Compiled 105 to 88 computations (16.2% saved)

regimes9.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (*.f64 x 1/2))))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 55 to 48 computations (12.7% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 x 1))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 31 to 27 computations (12.9% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))

Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))

Outputs
(*.f64 2 (atan.f64 1))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
10×	`+-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	182
1	50	182
2	53	182
3	55	182
4	56	182

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (+.f64 -1 (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 x 1))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))

Compiler

Compiled 60 to 52 computations (13.3% saved)

soundness711.0ms (14.6%)

Rules

926×	`associate-+r+`
926×	`associate-+r+`
874×	`times-frac`
874×	`times-frac`
788×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	153	87
2	2088	87
0	570	19300
1	1347	16377
2	4299	8876
0	570	19300
1	1347	16377
2	4299	8876
0	673	15581
1	1588	14567
2	5844	14543

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 174 to 147 computations (15.5% saved)

end0.0ms (0%)

preprocess60.0ms (1.2%)

Compiler: Compiled 134 to 114 computations (14.9% saved)

analyze4.0ms (0.1%)

sample1.2s (25.1%)

preprocess146.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize79.0ms (1.6%)

series5.0ms (0.1%)

rewrite155.0ms (3.2%)

simplify173.0ms (3.6%)

eval177.0ms (3.6%)

prune47.0ms (1%)

localize322.0ms (6.6%)

series8.0ms (0.2%)

rewrite145.0ms (3%)

simplify175.0ms (3.6%)

eval369.0ms (7.6%)

prune197.0ms (4.1%)

localize92.0ms (1.9%)

series1.0ms (0%)

rewrite57.0ms (1.2%)

simplify73.0ms (1.5%)

eval50.0ms (1%)

prune23.0ms (0.5%)

localize90.0ms (1.8%)

series1.0ms (0%)

rewrite90.0ms (1.9%)

simplify106.0ms (2.2%)

eval102.0ms (2.1%)

prune43.0ms (0.9%)

regimes95.0ms (2%)

regimes18.0ms (0.4%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

simplify5.0ms (0.1%)

soundness711.0ms (14.6%)

end0.0ms (0%)

preprocess60.0ms (1.2%)

Profiling