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)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

ival-atan: 0.0ms (0% of total)

sample1.0s (30.7%)

Results

709.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

ival-atan: 89.0ms (20.6% of total)

ival-mult: 66.0ms (15.2% of total)

ival-div: 65.0ms (15% of total)

ival-add: 65.0ms (15% of total)

ival-sqrt: 65.0ms (15% of total)

ival-sub: 62.0ms (14.3% of total)

const: 18.0ms (4.2% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess80.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

458×	`fma-define`
328×	`fma-neg`
80×	`times-frac`
78×	`add0`
71×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	164
1	65	156
2	147	156
3	253	156
4	409	156
5	795	156
6	1642	156
7	1958	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x))))))
(neg.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))))))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))))))
(*.f64 #s(literal -2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))

explain149.0ms (4.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 #s(literal 1 binary64) x)`
-	-	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
-	-	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`

Results

101.0ms

512×

valid

Compiler

Compiled 104 to 80 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-sub: 16.0ms (21.5% of total)

ival-div: 15.0ms (20.2% of total)

ival-add: 14.0ms (18.8% of total)

ival-sqrt: 11.0ms (14.8% of total)

ival-atan: 9.0ms (12.1% of total)

ival-mult: 4.0ms (5.4% of total)

const: 3.0ms (4% of total)

backward-pass: 0.0ms (0% of total)

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 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize71.0ms (2.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Results

52.0ms

256×

valid

Compiler

Compiled 46 to 35 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 8.0ms (21.9% of total)

ival-sub: 8.0ms (21.9% of total)

ival-add: 6.0ms (16.4% of total)

ival-sqrt: 6.0ms (16.4% of total)

ival-atan: 5.0ms (13.7% of total)

ival-mult: 2.0ms (5.5% of total)

const: 2.0ms (5.5% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))>
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms	x	@	-inf	(sqrt (/ (- 1 x) (+ 1 x)))
0.0ms	x	@	inf	(/ (- 1 x) (+ 1 x))
0.0ms	x	@	0	(/ (- 1 x) (+ 1 x))
0.0ms	x	@	0	(sqrt (/ (- 1 x) (+ 1 x)))

rewrite271.0ms (8.2%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log1p-expm1-u`
743×	`expm1-log1p-u`
684×	`fma-define`
326×	`log-prod`
321×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	142	54
2	2083	54

Stop Event

1×	node limit

Counts

2 → 264

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))

Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x) (.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (/.f64 x (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
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(+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))))
(-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64))

simplify458.0ms (13.8%)

Algorithm

1×	egg-herbie

Rules

851×	`add0`
533×	`+-commutative`
523×	`fma-neg`
318×	`fma-define`
280×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	639	19280
1	2030	16126
2	5999	14547

Stop Event

1×	node limit

Counts

288 → 383

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x) (.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (/.f64 x (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
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(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))))
(-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal -2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) #s(literal -1 binary64)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

eval168.0ms (5.1%)

Compiler: Compiled 11639 to 9228 computations (20.7% saved)

prune83.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	380	3	383
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	380	4	384

Accuracy

100.0%

Counts

384 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
▶	99.2%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
▶	99.0%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 49 to 41 computations (16.3% saved)

localize260.0ms (7.9%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
✓	100.0%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))))
✓	100.0%	(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
✓	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))
✓	100.0%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
✓	100.0%	(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))

Results

195.0ms

256×

valid

Compiler

Compiled 151 to 117 computations (22.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-atan: 63.0ms (39.6% of total)

ival-mult: 56.0ms (35.2% of total)

ival-sub: 18.0ms (11.3% of total)

ival-add: 16.0ms (10.1% of total)

const: 6.0ms (3.8% of total)

backward-pass: 0.0ms (0% of total)

series10.0ms (0.3%)

Counts

6 → 50

Calls

Call 1

Inputs
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))>
#<alt (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))>
#<alt (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))>
#<alt (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))>
#<alt (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)))>

Calls

18 calls:

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

rewrite169.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1049×	`log1p-expm1-u`
696×	`expm1-log1p-u`
160×	`add0`
148×	`add-exp-log`
148×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	186
1	345	162
2	5329	162

Stop Event

1×	node limit

Counts

6 → 199

Calls

Call 1

Inputs
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))

Outputs
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 0 binary64))
(+.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x #s(literal 0 binary64)))
(+.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) x))
(+.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) x))
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 0 binary64)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 0 binary64))
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(+.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64)))
(pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 0 binary64))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(+.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))

simplify149.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-neg`
641×	`add0`
279×	`cancel-sign-sub-inv`
247×	`fma-define`
242×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	9145
1	1258	8041
2	4009	7737

Stop Event

1×	node limit

Counts

249 → 267

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))

Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))

eval84.0ms (2.5%)

Compiler: Compiled 5260 to 4316 computations (17.9% saved)

prune42.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	267	4	271

Accuracy

100.0%

Counts

271 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.2%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
✓	99.0%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 95 to 79 computations (16.8% saved)

regimes6.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Calls

5 calls:

2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
2.0ms	x
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
1.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 41 to 32 computations (22% saved)

regimes2.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))

(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))

(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))

Outputs
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))

(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))

Outputs
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

62×	`unsub-neg`
32×	`add0`
30×	`+-commutative`
13×	`*-commutative`
9×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
1	78	156
2	113	156
3	125	156
4	137	156
5	215	156
6	223	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))

soundness239.0ms (7.2%)

Rules

851×	`add0`
533×	`+-commutative`
523×	`fma-neg`
318×	`fma-define`
280×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	639	19280
1	2030	16126
2	5999	14547

Stop Event

1×	done
1×	node limit

Compiler

Compiled 68 to 57 computations (16.2% saved)

preprocess33.0ms (1%)

Compiler: Compiled 116 to 96 computations (17.2% saved)

arccos

analyze4.0ms (0.1%)

sample1.0s (30.7%)

preprocess80.0ms (2.4%)

explain149.0ms (4.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize71.0ms (2.1%)

series4.0ms (0.1%)

rewrite271.0ms (8.2%)

simplify458.0ms (13.8%)

eval168.0ms (5.1%)

prune83.0ms (2.5%)

localize260.0ms (7.9%)

series10.0ms (0.3%)

rewrite169.0ms (5.1%)

simplify149.0ms (4.5%)

eval84.0ms (2.5%)

prune42.0ms (1.3%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

regimes1.0ms (0%)

simplify10.0ms (0.3%)

soundness239.0ms (7.2%)

preprocess33.0ms (1%)

end0.0ms (0%)

Profiling