Metrics for arccos

analyze6.0ms (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%	100%	0%	0%	0%	0%	3
33.3%	25%	50%	0%	0%	25%	0%	4
60%	37.5%	25%	0%	0%	37.5%	0%	5
77.8%	43.7%	12.5%	0%	0%	43.7%	0%	6
88.2%	46.9%	6.2%	0%	0%	46.9%	0%	7
93.9%	48.4%	3.1%	0%	0%	48.4%	0%	8
96.9%	49.2%	1.6%	0%	0%	49.2%	0%	9
98.4%	49.6%	0.8%	0%	0%	49.6%	0%	10
99.2%	49.8%	0.4%	0%	0%	49.8%	0%	11
99.6%	49.9%	0.2%	0%	0%	49.9%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (32.4% of total)

ival-sqrt: 1.0ms (32.4% 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)

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

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

sample1.5s (24.4%)

Results

1.0s	8256×	0	valid
1.0ms	18×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 820.0ms

ival-sqrt: 410.0ms (50% of total)

ival-div: 125.0ms (15.2% of total)

ival-atan: 81.0ms (9.9% of total)

ival-mult: 74.0ms (9% of total)

ival-sub: 64.0ms (7.8% of total)

ival-add: 49.0ms (6% of total)

const: 14.0ms (1.7% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

321×	`fma-define`
224×	`fmm-def`
80×	`times-frac`
68×	`associate-l`
62×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	164
1	50	156
2	81	156
3	149	156
4	285	156
5	628	156
6	1297	156
7	1542	156
8	1622	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))

explain78.0ms (1.3%)

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

50.0ms

512×

valid

Compiler

Compiled 104 to 29 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sqrt: 6.0ms (22% of total)

ival-sub: 5.0ms (18.3% of total)

ival-atan: 5.0ms (18.3% of total)

ival-mult: 4.0ms (14.6% of total)

ival-div: 3.0ms (11% of total)

ival-add: 3.0ms (11% of total)

const: 1.0ms (3.7% 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 9 computations (25% saved)

localize107.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Rules

162×	`fma-define`
129×	`fmm-def`
37×	`div-sub`
27×	`times-frac`
26×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	152
1	26	152
2	32	152
3	45	152
4	70	152
5	110	152
6	155	152
7	236	152
8	409	152
9	659	152
10	817	152
11	821	152

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

Results

25.0ms

256×

valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 2.0ms (16.7% of total)

ival-div: 2.0ms (16.7% of total)

ival-mult: 2.0ms (16.7% of total)

ival-sqrt: 2.0ms (16.7% of total)

ival-atan: 2.0ms (16.7% of total)

ival-add: 1.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

4 → 32

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

Calls

12 calls:

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

rewrite289.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`log1p-expm1-u`
875×	`expm1-log1p-u`
443×	`log-prod`
321×	`prod-diff`
180×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	126
1	177	126
2	2359	126

Stop Event

1×	node limit

Counts

4 → 197

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)))
(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)))))

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

simplify194.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

469×	`distribute-lft-in`
406×	`distribute-rgt-in`
374×	`times-frac`
335×	`fmm-def`
236×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	593	20390
1	1421	17227
2	4175	9706

Stop Event

1×	node limit

Counts

229 → 330

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

eval108.0ms (1.8%)

Compiler: Compiled 9714 to 1665 computations (82.9% saved)

prune45.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	326	4	330
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	326	5	331

Accuracy

100.0%

Counts

331 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (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))))
▶	98.6%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
▶	99.0%	(.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))))))
▶	98.8%	(.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 64 to 49 computations (23.4% saved)

localize496.0ms (8.1%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
✓	cost-diff	6528	(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))
✓	cost-diff	6528	(atan.f64 (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)))
✓	cost-diff	6528	(*.f64 #s(literal 2 binary64) (atan.f64 (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))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(atan.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	-12544	(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	-12544	(.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))))))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(atan.f64 (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)))
✓	accuracy	100.0%	(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))
	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(atan.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
✓	accuracy	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)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))

Rules

1455×	`fmm-def`
315×	`fma-define`
184×	`distribute-lft-neg-in`
183×	`sub-neg`
158×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	665
1	70	595
2	113	589
3	195	589
4	347	589
5	597	589
6	924	589
7	1985	589
8	2750	589
9	3154	589
10	3233	589
11	3313	589
12	3391	589
13	4684	589
14	4684	589
15	4684	589

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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))))))
#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 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
x
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 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))))))
#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 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))
#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)))
x
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 2 binary64)
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 2 binary64) (atan.f64 (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))))
#s(literal 2 binary64)
(atan.f64 (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 (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 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1/4 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))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#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)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))
(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 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))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.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)))
x
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 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 (+.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))))))
(*.f64 #s(literal 2 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 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)))))
(atan.f64 (+.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)))))
(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 #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))
#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 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
(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 #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 2 binary64)
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 2 binary64) (atan.f64 (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))))
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(atan.f64 (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)))
(atan.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(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 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1/4 binary64)

Results

222.0ms

256×

valid

Compiler

Compiled 214 to 30 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-atan: 117.0ms (63.9% of total)

ival-sub: 26.0ms (14.2% of total)

ival-mult: 20.0ms (10.9% of total)

ival-pow: 12.0ms (6.6% of total)

ival-add: 5.0ms (2.7% of total)

ival-div: 2.0ms (1.1% of total)

const: 1.0ms (0.5% of total)

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

series20.0ms (0.3%)

Counts

18 → 144

Calls

Call 1

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

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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 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)))) 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 (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 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<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)))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -3/16 binary64) x))) #s(literal 1/2 binary64))))>
#<alt (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal -3/16 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))))>
#<alt (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))) x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3/16 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))) x)) (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))) x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))>
#<alt (.f64 #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)))))))>
#<alt (.f64 #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)))))))>
#<alt (.f64 #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)))))))>
#<alt (.f64 #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)))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.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) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.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 x (-.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 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* 1/2 x)
1.0ms	x	@	inf	(* 2 (atan (- 1 x)))
1.0ms	x	@	-inf	(* x (- (* 1/2 x) 1))
1.0ms	x	@	inf	(* x (- (* 1/2 x) 1))
1.0ms	x	@	inf	(pow (/ (- 1 x) (+ 1 x)) 1/4)

rewrite254.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`log1p-expm1-u`
258×	`expm1-log1p-u`
251×	`pow1`
250×	`add-exp-log`
250×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	453
1	562	415
2	7919	415

Stop Event

1×	node limit

Counts

18 → 390

Calls

Call 1

Inputs
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.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 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))
(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 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(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))
(atan.f64 (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 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(-.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 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 2 binary64) (atan.f64 (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))))

Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (neg.f64 x))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal -1 binary64)))
(-.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 (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) x) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 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)))
(-.f64 (exp.f64 (log1p.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #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 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #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 binary64)) #s(literal 1 binary64)))
(*.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 (cbrt.f64 (fma.f64 x (fma.f64 x #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 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 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 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #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 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (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 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #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 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 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 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 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 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 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 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 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log1p.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 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #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 #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 #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (atan.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 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x #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 #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 #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 #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(pow.f64 (atan.f64 (fma.f64 x (fma.f64 x #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) x)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) x))) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (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) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))) #s(literal 1 binary64)))

simplify240.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

628×	`fmm-def`
311×	`associate-r`
285×	`sub-neg`
285×	`associate-l`
268×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	911	17133
1	1902	15859
2	5896	15813

Stop Event

1×	node limit

Counts

534 → 576

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)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 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)))) 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)))
(.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 #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)))
(.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)))
(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 (+.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 (+.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 (+.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))))))
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #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 (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) (/.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 #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)))))
(.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 #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)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#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)))))
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(sqrt.f64 #s(literal -1 binary64))
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(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
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(pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))
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(pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))
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#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
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#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
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(*.f64 #s(literal -1/2 binary64) x)
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(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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
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(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 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 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #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 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (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 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
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(fabs.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (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 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (+.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (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 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) x)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) x))) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (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) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 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)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
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(log.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))

eval354.0ms (5.8%)

Compiler: Compiled 19231 to 4417 computations (77% saved)

prune96.0ms (1.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	830	4	834
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	830	9	839

Accuracy

100.0%

Counts

839 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (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))))
▶	98.6%	(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))))
✓	98.6%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.0%	(.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))))))
✓	98.8%	(.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))))))
▶	98.4%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
▶	98.2%	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 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)))))
▶	97.6%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

Compiler

Compiled 106 to 82 computations (22.6% saved)

localize250.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
✓	cost-diff	-6272	(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
✓	cost-diff	-6272	(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	-6144	(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	-6144	(.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	256	(atan.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	cost-diff	256	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
✓	cost-diff	0	(atan.f64 #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))))
✓	accuracy	100.0%	(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
✓	accuracy	100.0%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
✓	accuracy	100.0%	(.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.4%	(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(atan.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	accuracy	99.4%	(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
✓	accuracy	100.0%	(atan.f64 #s(literal 1 binary64))

Rules

584×	`fma-define`
423×	`distribute-lft-in`
412×	`associate-*r/`
364×	`div-sub`
352×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	478
1	51	450
2	91	352
3	201	340
4	391	340
5	1162	340
6	3677	340
7	6769	340

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

65.0ms	253×	0	valid
5.0ms	3×	5	exit

Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 14.0ms (33.6% of total)

ival-atan: 12.0ms (28.8% of total)

ival-sub: 5.0ms (12% of total)

ival-pow: 3.0ms (7.2% of total)

ival-add: 3.0ms (7.2% of total)

ival-div: 2.0ms (4.8% of total)

const: 1.0ms (2.4% of total)

backward-pass: 1.0ms (2.4% of total)

series14.0ms (0.2%)

Counts

16 → 114

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* 2 (atan (pow (+ 1 (* x -1/2)) 2)))
0.0ms	x	@	0	(* 2 (atan (+ 1 (* x (* x (- 1/2 (/ 1 x)))))))
0.0ms	x	@	-inf	(* x (- (/ 1 x) 1))
0.0ms	x	@	inf	(* 2 (atan (* x (- (/ 1 x) 1))))
0.0ms	x	@	inf	(* 2 (atan (pow (+ 1 (* x -1/2)) 2)))

rewrite219.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`prod-diff`
605×	`log1p-expm1-u`
199×	`expm1-log1p-u`
197×	`pow1`
197×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	390
1	441	361
2	5765	361

Stop Event

1×	node limit

Counts

16 → 315

Calls

Call 1

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

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

simplify193.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

696×	`times-frac`
283×	`exp-prod`
227×	`associate-+r+`
225×	`associate-r`
222×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	686	10405
1	1321	9434
2	3770	9360

Stop Event

1×	node limit

Counts

429 → 436

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(/.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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
#s(literal -1 binary64)
#s(literal -1 binary64)
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.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 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.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 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #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 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 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 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)))))))
#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 1/4 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (log1p.f64 (atan.f64 #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan.f64 #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (atan.f64 #s(literal 1 binary64))) (sqrt.f64 (atan.f64 #s(literal 1 binary64))))
(pow.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (atan.f64 #s(literal 1 binary64))))
(exp.f64 (log.f64 (atan.f64 #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (atan.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (atan.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) (.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 2 binary64))
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(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))

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

eval110.0ms (1.8%)

Compiler: Compiled 6984 to 1920 computations (72.5% saved)

prune54.0ms (0.9%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	464	1	465
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	464	10	474

Accuracy

100.0%

Counts

474 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (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))))
✓	98.6%	(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))))
✓	98.6%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.0%	(.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))))))
✓	98.8%	(.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))))))
▶	98.6%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))))
✓	98.4%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
✓	98.2%	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 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)))))
✓	97.6%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

Compiler

Compiled 119 to 92 computations (22.7% saved)

localize118.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-12544	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) x)
✓	accuracy	100.0%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))

Rules

298×	`fma-define`
238×	`fmm-def`
51×	`cancel-sign-sub-inv`
39×	`distribute-lft-neg-in`
34×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	145
1	29	133
2	39	133
3	60	133
4	79	133
5	99	133
6	145	133
7	212	133
8	408	133
9	702	133
10	988	133
11	1076	133
12	1104	133
13	1105	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))
x
(-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)

Outputs
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) x #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(literal 2 binary64)
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/4 binary64) x #s(literal -1 binary64)))))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/4 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))
x
(-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

Results

24.0ms

256×

valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (46.4% of total)

ival-atan: 3.0ms (23.2% of total)

ival-add: 2.0ms (15.5% of total)

ival-sub: 1.0ms (7.7% of total)

const: 1.0ms (7.7% of total)

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

series7.0ms (0.1%)

Counts

6 → 44

Calls

Call 1

Inputs
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))))>

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

Calls

18 calls:

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

rewrite118.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`log1p-expm1-u`
799×	`expm1-log1p-u`
541×	`prod-diff`
412×	`log-prod`
331×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	138
1	176	126
2	2254	126

Stop Event

1×	node limit

Counts

6 → 179

Calls

Call 1

Inputs
(.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/4 binary64) x)
(-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) x) (*.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x))))
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 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 1/4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 x #s(literal -1 binary64)))
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(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) x #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal -1 binary64))
(+.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify274.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

454×	`div-sub`
299×	`sub-neg`
282×	`*-commutative`
256×	`exp-prod`
215×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	7607
1	710	7103
2	2049	5911
3	5721	5911

Stop Event

1×	node limit

Counts

223 → 220

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 1/4 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 1/4 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 1/4 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 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal -1 binary64)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) x) (*.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x))))
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 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 1/4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 x #s(literal -1 binary64)))
(fma.f64 (.f64 x #s(literal 1/4 binary64)) x (.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
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(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) x #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal -1 binary64))
(+.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))

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

eval90.0ms (1.5%)

Compiler: Compiled 3651 to 982 computations (73.1% saved)

prune173.0ms (2.8%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	220	10	230

Accuracy

100.0%

Counts

230 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (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))))
✓	98.6%	(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))))
✓	98.6%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.0%	(.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))))))
✓	98.8%	(.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))))))
✓	98.6%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))))
✓	98.4%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
✓	98.2%	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 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)))))
✓	97.6%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

Compiler

Compiled 229 to 148 computations (35.4% saved)

regimes34.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 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) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.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 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(*.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 (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))))

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:

22.0ms	x
3.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
3.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
3.0ms	(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 28 computations (31.7% saved)

regimes3.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 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) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.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 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 2 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:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 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) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))

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:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 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 1/4 binary64) x) #s(literal 1 binary64))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.6%	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 #s(literal 1 binary64)))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative`
11×	`+-commutative`
8×	`unsub-neg`
6×	`sub-neg`
5×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	208
1	70	208
2	79	208
3	85	208
4	93	208
5	106	208

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) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

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) (.f64 x (-.f64 (*.f64 #s(literal 1/4 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 1/4 binary64)) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

soundness539.0ms (8.8%)

Rules

875×	`log1p-expm1-u`
875×	`expm1-log1p-u`
628×	`fmm-def`
469×	`distribute-lft-in`
443×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	911	17133
1	1902	15859
2	5896	15813
0	593	20390
1	1421	17227
2	4175	9706
0	14	126
1	177	126
2	2359	126

Stop Event

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

Compiler

Compiled 198 to 98 computations (50.5% saved)

preprocess38.0ms (0.6%)

Compiler: Compiled 148 to 92 computations (37.8% saved)

Iter	Nodes	Cost
0	14	152
1	26	152
2	32	152
3	45	152
4	70	152
5	110	152
6	155	152
7	236	152
8	409	152
9	659	152
10	817	152
11	821	152

Iter	Nodes	Cost
0	14	152
1	26	152
2	32	152
3	45	152
4	70	152
5	110	152
6	155	152
7	236	152
8	409	152
9	659	152
10	817	152
11	821	152

analyze6.0ms (0.1%)

sample1.5s (24.4%)

preprocess71.0ms (1.2%)

explain78.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize107.0ms (1.8%)

series5.0ms (0.1%)

rewrite289.0ms (4.7%)

simplify194.0ms (3.2%)

eval108.0ms (1.8%)

prune45.0ms (0.7%)

localize496.0ms (8.1%)

series20.0ms (0.3%)

rewrite254.0ms (4.2%)

simplify240.0ms (3.9%)

eval354.0ms (5.8%)

prune96.0ms (1.6%)

localize250.0ms (4.1%)

series14.0ms (0.2%)

rewrite219.0ms (3.6%)

simplify193.0ms (3.2%)

eval110.0ms (1.8%)

prune54.0ms (0.9%)

localize118.0ms (1.9%)

series7.0ms (0.1%)

rewrite118.0ms (1.9%)

simplify274.0ms (4.5%)

eval90.0ms (1.5%)

prune173.0ms (2.8%)

regimes34.0ms (0.6%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify6.0ms (0.1%)

soundness539.0ms (8.8%)

preprocess38.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	152
1	26	152
2	32	152
3	45	152
4	70	152
5	110	152
6	155	152
7	236	152
8	409	152
9	659	152
10	817	152
11	821	152