Metrics for arccos

analyze7.0ms (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 (31.6% of total)

ival-sqrt: 1.0ms (31.6% 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)

sample1.2s (21.2%)

Results

761.0ms	8256×	0	valid
1.0ms	15×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 529.0ms

ival-sqrt: 141.0ms (26.7% of total)

ival-mult: 91.0ms (17.2% of total)

ival-sub: 89.0ms (16.8% of total)

ival-atan: 82.0ms (15.5% of total)

ival-div: 64.0ms (12.1% of total)

ival-add: 46.0ms (8.7% of total)

const: 14.0ms (2.6% of total)

backward-pass: 2.0ms (0.4% of total)

Bogosity

preprocess72.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

321×	`fma-define`
224×	`fma-neg`
80×	`times-frac`
68×	`associate-l`
61×	`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	1293	156
7	1538	156
8	1618	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))

explain82.0ms (1.4%)

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-atan: 8.0ms (29.2% of total)

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

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

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

ival-sub: 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)

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

162×	`fma-define`
129×	`fma-neg`
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)

localize71.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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))

Results

24.0ms

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 (16.3% of total)

ival-div: 2.0ms (16.3% of total)

ival-mult: 2.0ms (16.3% of total)

ival-sqrt: 2.0ms (16.3% of total)

ival-atan: 2.0ms (16.3% of total)

ival-add: 1.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

4 → 32

Calls

Call 1

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

Outputs
#<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))))))>
#<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 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 #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))>

Calls

12 calls:

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

rewrite260.0ms (4.6%)

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	2363	126

Stop Event

1×	node limit

Counts

4 → 197

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)))))
(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))

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

simplify230.0ms (4%)

Algorithm

1×	egg-herbie

Rules

475×	`distribute-lft-in`
413×	`distribute-rgt-in`
374×	`times-frac`
250×	`fma-neg`
181×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	594	20384
1	1345	17300
2	4013	9701

Stop Event

1×	node limit

Counts

229 → 324

Calls

Call 1

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

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

eval52.0ms (0.9%)

Compiler: Compiled 9643 to 1646 computations (82.9% saved)

prune40.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	318	6	324
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	318	7	325

Accuracy

100.0%

Counts

325 → 7

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))))
▶	98.8%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
▶	99.4%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
▶	99.2%	(.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)))))
	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
▶	97.5%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

Compiler

Compiled 158 to 119 computations (24.7% saved)

simplify236.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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)
✓	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	0	(atan.f64 #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
✓	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))))

Rules

1455×	`fma-neg`
317×	`fma-define`
187×	`sub-neg`
182×	`distribute-lft-neg-in`
177×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	683
1	73	613
2	116	607
3	200	607
4	352	607
5	599	607
6	926	607
7	1990	607
8	2748	607
9	3151	607
10	3225	607
11	3305	607
12	3386	607
13	4699	607
14	4699	607
15	4699	607

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.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)
(*.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 #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 (+.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)

Outputs
(*.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)
(*.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 #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 (+.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)

localize189.0ms (3.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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 2 binary64) (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 1/2 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 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
✓	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 2 binary64) (atan.f64 #s(literal 1 binary64)))
✓	accuracy	100.0%	(atan.f64 #s(literal 1 binary64))
✓	accuracy	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))))
✓	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))

Results

141.0ms

256×

valid

Compiler

Compiled 222 to 32 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 17.0ms (32.8% of total)

ival-pow: 12.0ms (23.2% of total)

ival-atan: 10.0ms (19.3% of total)

ival-add: 6.0ms (11.6% of total)

ival-sub: 4.0ms (7.7% of total)

ival-div: 2.0ms (3.9% of total)

const: 1.0ms (1.9% of total)

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

series28.0ms (0.5%)

Counts

19 → 134

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite146.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

276×	`log1p-expm1-u`
276×	`expm1-log1p-u`
269×	`pow1`
268×	`add-exp-log`
268×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	442
1	601	408

Stop Event

1×	node limit

Counts

19 → 371

Calls

Call 1

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

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

simplify240.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

532×	`fma-neg`
313×	`associate-r`
287×	`associate-l`
278×	`exp-prod`
248×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	871	15376
1	1794	14161
2	5435	13860

Stop Event

1×	node limit

Counts

505 → 534

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

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) 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) 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) 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) (.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) x) (+.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) x) (+.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) x) (+.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) x) (+.f64 #s(literal 1 binary64) x)))))
(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))))
(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))))
(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))))
(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))))
(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) x) (+.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) x) (+.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) x) (+.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) x) (+.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 binary64) (.f64 x (-.f64 (.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))))
(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) (sqrt.f64 #s(literal -1 binary64))) x))
(+.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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (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 (/.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 1/2 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)) (neg.f64 (/.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 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (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)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.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)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.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))))
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(*.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)))))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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)))))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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))))))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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)))))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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)))))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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)))
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(atan.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(log.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(exp.f64 (log.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(atan.f64 (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 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)))

eval130.0ms (2.3%)

Compiler: Compiled 17920 to 4098 computations (77.1% saved)

prune298.0ms (5.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	778	2	780
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	779	8	787

Accuracy

100.0%

Counts

787 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓	98.8%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.4%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
✓	99.2%	(.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))))))
▶	98.8%	(.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)))))
▶	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
✓	97.5%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

Compiler

Compiled 96 to 73 computations (24% saved)

simplify95.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-12544	(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/8 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	256	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	256	(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	256	(atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	256	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))

Rules

971×	`fma-neg`
538×	`distribute-lft-in`
524×	`distribute-rgt-in`
361×	`sub-neg`
280×	`+-commutative`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	29	549
1	53	533
2	85	500
3	174	488
4	452	488
5	2058	452
6	3809	428
7	4370	428
8	5745	428

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 x (+.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)))))
#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 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) 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 (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
x
(-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.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 x (-.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) x)))))
(*.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) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(atan.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (-.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) x))))
(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) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.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) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.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) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 x (+.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 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 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) 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 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #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 (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))
x
(-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)

localize130.0ms (2.3%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
✓	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	99.7%	(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))

Results

95.0ms	254×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 171 to 25 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 11.0ms (25.8% of total)

ival-div: 9.0ms (21.1% of total)

ival-atan: 8.0ms (18.7% of total)

ival-sub: 5.0ms (11.7% of total)

ival-pow: 3.0ms (7% of total)

ival-add: 3.0ms (7% of total)

ival-sqrt: 2.0ms (4.7% of total)

const: 1.0ms (2.3% of total)

backward-pass: 1.0ms (2.3% of total)

series34.0ms (0.6%)

Counts

15 → 105

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))>
#<alt (atan.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (atan.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (atan.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (atan.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.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 #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 #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 (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 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 1/8 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 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1/2 binary64)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 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 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 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 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x)))>
#<alt (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))>
#<alt (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))>
#<alt (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))>
#<alt (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #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 1/2 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 -1/8 binary64) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x))))>

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x (- (* 1/8 x) 1/2))
2.0ms	x	@	0	(* x (- (* 1/8 x) 1/2))
1.0ms	x	@	-inf	(* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
1.0ms	x	@	inf	(* 2 (atan (pow (+ 1 (* x (- (* 1/8 x) 1/2))) 2)))
1.0ms	x	@	-inf	(* 2 (atan (pow (+ 1 (* x (- (* 1/8 x) 1/2))) 2)))

rewrite254.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`log1p-expm1-u`
220×	`expm1-log1p-u`
217×	`add-cube-cbrt`
215×	`add-exp-log`
215×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	406
1	486	394
2	6785	394

Stop Event

1×	node limit

Counts

15 → 372

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.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)))))
(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)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))

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

simplify403.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-neg`
343×	`exp-prod`
302×	`associate-r`
294×	`cube-prod`
287×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	954	17974
1	2165	15237
2	6725	15229

Stop Event

1×	node limit

Counts

477 → 620

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(atan.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(atan.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(atan.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(atan.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.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)))))
(+.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)))
#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 #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)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 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 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
#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) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x)))
(atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #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 1/2 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 -1/8 binary64) x))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
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(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (-.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (-.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (-.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (-.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))

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

eval90.0ms (1.6%)

Compiler: Compiled 11611 to 3026 computations (73.9% saved)

prune153.0ms (2.7%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	619	1	620
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	619	9	628

Accuracy

100.0%

Counts

628 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓	98.8%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.4%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
✓	99.2%	(.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))))))
▶	98.8%	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
✓	98.8%	(.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)))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
✓	97.5%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

Compiler

Compiled 107 to 81 computations (24.3% saved)

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	256	(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))
✓	cost-diff	256	(atan.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
✓	cost-diff	256	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))))

Rules

818×	`fma-neg`
474×	`associate-/r*`
389×	`times-frac`
344×	`distribute-lft-neg-out`
317×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	151
1	27	136
2	44	100
3	67	76
4	127	76
5	209	76
6	488	76
7	1876	76
8	4819	76
9	7332	76

Stop Event

1×	node limit

Calls

Call 1

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

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

localize106.0ms (1.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
✓	accuracy	100.0%	(atan.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.7%	(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))

Results

90.0ms	254×	0	valid
1.0ms	2×	5	exit

Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 66.0ms (81.8% of total)

ival-div: 9.0ms (11.2% of total)

ival-atan: 3.0ms (3.7% of total)

ival-sub: 2.0ms (2.5% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite116.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`log1p-expm1-u`
768×	`expm1-log1p-u`
710×	`unpow-prod-down`
397×	`log-prod`
194×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	117
1	152	105
2	2054	105

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

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

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

simplify111.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-define`
485×	`associate-*r/`
418×	`associate-*l/`
267×	`unswap-sqr`
229×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	5693
1	893	4982
2	2573	4908

Stop Event

1×	node limit

Counts

226 → 255

Calls

Call 1

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

eval42.0ms (0.7%)

Compiler: Compiled 4675 to 1192 computations (74.5% saved)

prune33.0ms (0.6%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	255	0	255
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	255	9	264

Accuracy

100.0%

Counts

264 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓	98.8%	(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.4%	(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
✓	99.2%	(.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))))))
✓	98.8%	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
✓	98.8%	(.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)))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
✓	97.5%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

Compiler

Compiled 220 to 138 computations (37.3% saved)

regimes186.0ms (3.3%)

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 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) 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) (+.f64 #s(literal 1 binary64) x)) (/.f64 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 (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))))

Calls

5 calls:

174.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
3.0ms	x
3.0ms	(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))

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)

regimes15.0ms (0.3%)

Counts

9 → 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 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) 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) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))

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

Calls

5 calls:

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

regimes14.0ms (0.2%)

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 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 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:

4.0ms	x
2.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
2.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
2.0ms	(/.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%)

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	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 x (/.f64 (-.f64 #s(literal 1 binary64) x) x))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	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
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

17×	`unsub-neg`
17×	`*-commutative`
12×	`+-commutative`
10×	`neg-mul-1`
8×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	268
1	73	268
2	87	268
3	101	268
4	120	268
5	149	268
6	151	268

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness452.0ms (7.9%)

Rules

875×	`log1p-expm1-u`
875×	`expm1-log1p-u`
475×	`distribute-lft-in`
443×	`log-prod`
413×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	594	20384
1	1345	17300
2	4013	9701
0	14	126
1	177	126
2	2363	126

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 221 to 104 computations (52.9% saved)

preprocess46.0ms (0.8%)

Compiler: Compiled 182 to 102 computations (44% 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

analyze7.0ms (0.1%)

sample1.2s (21.2%)

preprocess72.0ms (1.3%)

explain82.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.6%)

localize71.0ms (1.2%)

series7.0ms (0.1%)

rewrite260.0ms (4.6%)

simplify230.0ms (4%)

eval52.0ms (0.9%)

prune40.0ms (0.7%)

simplify236.0ms (4.1%)

localize189.0ms (3.3%)

series28.0ms (0.5%)

rewrite146.0ms (2.6%)

simplify240.0ms (4.2%)

eval130.0ms (2.3%)

prune298.0ms (5.2%)

simplify95.0ms (1.7%)

localize130.0ms (2.3%)

series34.0ms (0.6%)

rewrite254.0ms (4.5%)

simplify403.0ms (7.1%)

eval90.0ms (1.6%)

prune153.0ms (2.7%)

simplify70.0ms (1.2%)

localize106.0ms (1.9%)

series4.0ms (0.1%)

rewrite116.0ms (2%)

simplify111.0ms (1.9%)

eval42.0ms (0.7%)

prune33.0ms (0.6%)

regimes186.0ms (3.3%)

regimes15.0ms (0.3%)

regimes14.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify10.0ms (0.2%)

soundness452.0ms (7.9%)

preprocess46.0ms (0.8%)

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