Metrics for Falkner and Boettcher, Equation (22+)

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 22 to 17 computations (22.7% saved)

Precisions

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

ival-mult: 1.0ms (38.2% of total)

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.3s (17.9%)

Results

878.0ms	8256×	0	valid
1.0ms	8×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 666.0ms

ival-mult: 321.0ms (48.2% of total)

ival-sub: 144.0ms (21.6% of total)

ival-sqrt: 73.0ms (11% of total)

ival-div: 66.0ms (9.9% of total)

ival-pi: 36.0ms (5.4% of total)

const: 24.0ms (3.6% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess176.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-define`
594×	`times-frac`
473×	`fma-neg`
440×	`unsub-neg`
428×	`distribute-lft-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	292
1	91	272
2	210	252
3	706	248
4	2204	248
5	5036	236
6	7676	236

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v)))))))
(neg.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v))))))))

Outputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v)))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v))))))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))

Symmetry

(abs v)

explain291.0ms (4%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(PI.f64)`
-	-	`(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`
-	-	`(.f64 #s(literal 6 binary64) (.f64 v v))`
-	-	`(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))`
-	-	`#s(literal 2 binary64)`
-	-	`v`
-	-	`#s(literal 6 binary64)`
-	-	`(*.f64 #s(literal 3 binary64) (PI.f64))`
-	-	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
-	-	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
-	-	`(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))`
-	-	`#s(literal 4 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 v v)`

Results

140.0ms

512×

valid

Compiler

Compiled 195 to 122 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 57.0ms (57% of total)

ival-sub: 21.0ms (21% of total)

ival-sqrt: 11.0ms (11% of total)

const: 5.0ms (5% of total)

ival-div: 4.0ms (4% of total)

ival-pi: 2.0ms (2% of total)

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

eval1.0ms (0%)

Compiler: Compiled 89 to 59 computations (33.7% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))

Status

Accuracy

Program

▶

100.0%

(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))

▶

98.4%

(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))

Compiler

Compiled 40 to 30 computations (25% saved)

localize171.0ms (2.3%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	98.5%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	100.0%	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))))
✓	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))
✓	99.7%	(.f64 #s(literal -6 binary64) (.f64 v v))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))

Results

121.0ms

256×

valid

Compiler

Compiled 160 to 92 computations (42.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 45.0ms (51.1% of total)

ival-sqrt: 11.0ms (12.5% of total)

ival-sub: 10.0ms (11.4% of total)

ival-add: 10.0ms (11.4% of total)

ival-div: 6.0ms (6.8% of total)

const: 5.0ms (5.7% of total)

ival-pi: 1.0ms (1.1% of total)

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

series91.0ms (1.2%)

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))>
#<alt (.f64 #s(literal -6 binary64) (.f64 v v))>
#<alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))>
#<alt (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))))>
#<alt (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))>
#<alt (.f64 (.f64 v v) #s(literal -6 binary64))>
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))>
#<alt (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))>

Outputs
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))>
#<alt (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))>
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#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
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#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))>
#<alt (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))>
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#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64))))>
#<alt (PI.f64)>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>

Calls

24 calls:

Time	Variable		Point	Expression
66.0ms	v	@	0	(* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ 2 (* -6 (* v v))))))
3.0ms	v	@	inf	(/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ 2 (* -6 (* v v)))))))
2.0ms	v	@	0	(/ 4 (* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ 2 (* -6 (* v v)))))))
1.0ms	v	@	inf	(* (PI) (- 1 (* v v)))
1.0ms	v	@	inf	(* (* 3 (PI)) (* (- 1 (* v v)) (sqrt (+ 2 (* -6 (* v v))))))

rewrite299.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`log1p-expm1-u`
392×	`prod-diff`
290×	`expm1-log1p-u`
174×	`associate-r`
158×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	328
1	431	300
2	5212	300

Stop Event

1×	node limit

Counts

8 → 201

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(.f64 #s(literal -6 binary64) (.f64 v v))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (.f64 v v) #s(literal -6 binary64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 #s(literal 4/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 4 binary64))
(.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
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(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 4 binary64))
(.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify239.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac`
378×	`associate-r`
314×	`fma-define`
310×	`associate-l`
281×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	589	18662
1	1549	17403
2	6059	17403

Stop Event

1×	node limit

Counts

297 → 317

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))
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(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 #s(literal 4/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 #s(literal 4/3 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (/.f64 (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))))))
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(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(+.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))))
(*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))))
(*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64))))
(pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))

simplify227.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac`
378×	`associate-r`
314×	`fma-define`
310×	`associate-l`
281×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	589	18662
1	1549	17403
2	6059	17403

Stop Event

1×	node limit

Counts

297 → 317

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))
(/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64)))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))
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(pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 #s(literal 4/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 #s(literal 4/3 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (/.f64 (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 27/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal 4/3 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (/.f64 (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))) (/.f64 (/.f64 #s(literal 135/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (/.f64 (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))
(/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) (pow.f64 v #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))
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(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))

eval167.0ms (2.3%)

Compiler: Compiled 9671 to 8021 computations (17.1% saved)

prune92.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	313	4	317
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	313	6	319

Accuracy

100.0%

Counts

319 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.2%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	98.7%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	97.1%	(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
▶	98.6%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 92 to 75 computations (18.5% saved)

localize234.0ms (3.2%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
✓	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	98.5%	(/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))))
✓	47.5%	(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓	98.4%	(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	98.4%	(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	98.4%	(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))

Results

167.0ms

256×

valid

Compiler

Compiled 173 to 116 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult: 32.0ms (28% of total)

ival-pow: 22.0ms (19.3% of total)

ival-div: 21.0ms (18.4% of total)

ival-sqrt: 19.0ms (16.6% of total)

ival-add: 9.0ms (7.9% of total)

const: 6.0ms (5.3% of total)

ival-sub: 5.0ms (4.4% of total)

ival-pi: 1.0ms (0.9% of total)

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

series16.0ms (0.2%)

Counts

11 → 60

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))>
#<alt (/.f64 #s(literal 4/3 binary64) (PI.f64))>
#<alt (.f64 (.f64 v v) #s(literal -6 binary64))>
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))>
#<alt (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))))>
#<alt (.f64 (.f64 v v) #s(literal -6 binary64))>
#<alt (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))>

Outputs
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)>
#<alt (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))>
#<alt (PI.f64)>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 4/3 binary64) (PI.f64))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	v	@	-inf	(/ (/ 4/3 (PI)) (sqrt (+ 2 (* (* v v) -6))))
1.0ms	v	@	inf	(/ (/ 4/3 (PI)) (sqrt (+ 2 (* (* v v) -6))))
1.0ms	v	@	0	(/ (/ 4/3 (PI)) (sqrt (+ 2 (* (* v v) -6))))
1.0ms	v	@	0	(* (pow v 2) (- (/ (PI) (pow v 2)) (PI)))
0.0ms	v	@	inf	(* (pow v 2) (- (/ (PI) (pow v 2)) (PI)))

rewrite218.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`prod-diff`
209×	`log1p-expm1-u`
209×	`expm1-log1p-u`
208×	`add-cube-cbrt`
205×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	261
1	473	233
2	6683	233

Stop Event

1×	node limit

Counts

11 → 268

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(.f64 (.f64 v v) #s(literal -6 binary64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))))
(.f64 (.f64 v v) #s(literal -6 binary64))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 18 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 18 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 18 binary64))) #s(literal 2 binary64))
(sqrt.f64 #s(literal 18 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 18 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 18 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)))
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(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) v) (/.f64 (sqrt.f64 (PI.f64)) v))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) v) (/.f64 (cbrt.f64 (PI.f64)) v))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) v) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify166.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

329×	`cancel-sign-sub-inv`
312×	`exp-prod`
306×	`cube-prod`
300×	`associate-r`
273×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	665	10936
1	1462	10014
2	5140	9968

Stop Event

1×	node limit

Counts

328 → 379

Calls

Call 1

Inputs
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(PI.f64)
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 18 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 18 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 18 binary64))) #s(literal 2 binary64))
(sqrt.f64 #s(literal 18 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 18 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 18 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 18 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 18 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 18 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 18 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 18 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 #s(literal 18 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 18 binary64)) (PI.f64))) #s(literal 1 binary64)))
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(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) v) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))) (/.f64 (.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 27/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 45/8 binary64) (pow.f64 v #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 v (PI.f64)))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal -1/108 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/108 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal -5/1944 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 6 binary64)))))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))) #s(literal -4/3 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (neg.f64 v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v))
(/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal -1/108 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/108 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal -5/1944 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 6 binary64)))))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (neg.f64 v))
(PI.f64)
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (PI.f64))
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(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) v) (/.f64 (sqrt.f64 (PI.f64)) v))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (PI.f64))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 v #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) v) (/.f64 (cbrt.f64 (PI.f64)) v))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 v #s(literal 4 binary64))))
(pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) v) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))

simplify229.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

329×	`cancel-sign-sub-inv`
312×	`exp-prod`
306×	`cube-prod`
300×	`associate-r`
273×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	665	10936
1	1462	10014
2	5140	9968

Stop Event

1×	node limit

Counts

328 → 379

Calls

Call 1

Inputs
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(PI.f64)
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
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(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) v) (/.f64 (sqrt.f64 (PI.f64)) v))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) v) (/.f64 (cbrt.f64 (PI.f64)) v))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) v) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))) (/.f64 (.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 27/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 45/8 binary64) (pow.f64 v #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 v (PI.f64)))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal -1/108 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/108 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal -5/1944 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 6 binary64)))))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))) #s(literal -4/3 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v))
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(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64)))) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (neg.f64 (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)))
(cbrt.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -216 binary64)))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)))
(cbrt.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) v) (/.f64 (sqrt.f64 (PI.f64)) v))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (PI.f64))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 v #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) v) (/.f64 (cbrt.f64 (PI.f64)) v))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 v #s(literal 4 binary64))))
(pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) v) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 v #s(literal -2 binary64))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))

eval526.0ms (7.2%)

Compiler: Compiled 7755 to 5912 computations (23.8% saved)

prune63.0ms (0.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	390	4	394
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	392	8	400

Accuracy

100.0%

Counts

400 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.2%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶	46.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	98.7%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	98.7%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶	97.1%	(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
▶	98.6%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))

Compiler

Compiled 128 to 103 computations (19.5% saved)

localize369.0ms (5%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	99.6%	(/.f64 (PI.f64) v)
✓	98.5%	(/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v)) (PI.f64))))
✓	47.5%	(.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v)) (PI.f64)))
✓	100.0%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	98.4%	(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓	98.4%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))

Results

295.0ms

256×

valid

Compiler

Compiled 181 to 110 computations (39.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-sqrt: 78.0ms (44.7% of total)

ival-mult: 40.0ms (22.9% of total)

ival-div: 27.0ms (15.5% of total)

ival-pow: 10.0ms (5.7% of total)

ival-add: 8.0ms (4.6% of total)

const: 6.0ms (3.4% of total)

ival-sub: 5.0ms (2.9% of total)

ival-pi: 1.0ms (0.6% of total)

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

series8.0ms (0.1%)

Counts

6 → 36

Calls

Call 1

Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))>
#<alt (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))>
#<alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v)) (PI.f64)))>
#<alt (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v)) (PI.f64))))>
#<alt (/.f64 (PI.f64) v)>

Outputs
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)>
#<alt (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))>
#<alt (PI.f64)>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 4/3 binary64) (PI.f64))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(/ (* (/ 1 (PI)) 4/3) (sqrt (+ 2 (* (* v v) -6))))
0.0ms	v	@	inf	(/ (* (/ 1 (PI)) 4/3) (sqrt (+ 2 (* (* v v) -6))))
0.0ms	v	@	-inf	(/ (* (/ 1 (PI)) 4/3) (sqrt (+ 2 (* (* v v) -6))))
0.0ms	v	@	-inf	(/ (PI) v)
0.0ms	v	@	inf	(/ 4/3 (* (pow v 2) (- (* (/ 1 v) (/ (PI) v)) (PI))))

rewrite201.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`log1p-expm1-u`
206×	`expm1-log1p-u`
203×	`add-cube-cbrt`
201×	`add-exp-log`
201×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	172
1	501	168
2	6646	168

Stop Event

1×	node limit

Counts

6 → 203

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v)) (PI.f64))))
(/.f64 (PI.f64) v)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (PI.f64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4/3 binary64)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 8/9 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 8/9 binary64)))
(*.f64 (cbrt.f64 #s(literal 8/9 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 8/9 binary64))) (PI.f64)))
(.f64 (cbrt.f64 #s(literal 8/9 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8/9 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))) (cbrt.f64 (.f64 #s(literal 8/9 binary64) (pow.f64 (PI.f64) #s(literal -2 binary64)))))
(.f64 (cbrt.f64 (.f64 #s(literal 8/9 binary64) (pow.f64 (PI.f64) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))))
(*.f64 (pow.f64 #s(literal 8/9 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 8/9 binary64) #s(literal 1/4 binary64)) (PI.f64)))
(.f64 (pow.f64 #s(literal 8/9 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 8/9 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 8/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 8/9 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 8/9 binary64))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 8/9 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 8/9 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 8/9 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 #s(literal 8/9 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 8/9 binary64) #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (/.f64 (pow.f64 #s(literal 8/9 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 8/9 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 #s(literal 8/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 #s(literal 8/9 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
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(.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(.f64 (/.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 4/3 binary64))
(.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (PI.f64) (PI.f64) (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(pow.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) v))) #s(literal 1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))
(*.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 v)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) v))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) v)))
(.f64 (cbrt.f64 (pow.f64 v #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 v)) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) v)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (PI.f64) v)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) v))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (pow.f64 v #s(literal -1/2 binary64)) (/.f64 (PI.f64) (sqrt.f64 v)))
(.f64 (pow.f64 v #s(literal -1/2 binary64)) (.f64 (pow.f64 v #s(literal -1/2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) v)) (sqrt.f64 (/.f64 (PI.f64) v)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) v))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) v))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 v)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (PI.f64) v)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 v)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 v)))
(.f64 (.f64 (pow.f64 v #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 v #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 v #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 v)))
(.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -1/2 binary64))) (pow.f64 v #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64))
(pow.f64 (/.f64 v (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) (neg.f64 v)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) v))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (PI.f64) v)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) v))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) v)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) v)))
(exp.f64 (log.f64 (/.f64 (PI.f64) v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) v)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 (PI.f64))))

simplify164.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-define`
263×	`*-commutative`
235×	`associate-r`
225×	`associate-l`
214×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	593	9254
1	1427	8646
2	4388	8614

Stop Event

1×	node limit

Counts

239 → 347

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(PI.f64)
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (pow.f64 v #s(literal 2 binary64))) (*.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (PI.f64) (PI.f64) (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 v #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (PI.f64) (PI.f64) (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 v #s(literal 2 binary64))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 v (sqrt.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(exp.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))) #s(literal 1 binary64))
(.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(.f64 (/.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 4/3 binary64))
(.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (PI.f64) (PI.f64) (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(pow.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) v))) #s(literal 1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))
(*.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 v)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) v))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) v)))
(.f64 (cbrt.f64 (pow.f64 v #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 v)) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) v)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (PI.f64) v)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) v))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (pow.f64 v #s(literal -1/2 binary64)) (/.f64 (PI.f64) (sqrt.f64 v)))
(.f64 (pow.f64 v #s(literal -1/2 binary64)) (.f64 (pow.f64 v #s(literal -1/2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) v)) (sqrt.f64 (/.f64 (PI.f64) v)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) v))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) v))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 v)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (PI.f64) v)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 v)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 v)))
(.f64 (.f64 (pow.f64 v #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 v #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 v #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 v)))
(.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -1/2 binary64))) (pow.f64 v #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64))
(pow.f64 (/.f64 v (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) (neg.f64 v)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) v))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (PI.f64) v)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) v))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) v)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) v)))
(exp.f64 (log.f64 (/.f64 (PI.f64) v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) v)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 (PI.f64))))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
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(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
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(.f64 (pow.f64 v #s(literal -1/2 binary64)) (.f64 (pow.f64 v #s(literal -1/2 binary64)) (PI.f64)))
(/.f64 (PI.f64) v)
(*.f64 (sqrt.f64 (/.f64 (PI.f64) v)) (sqrt.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) v))
(/.f64 (PI.f64) v)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) v))
(/.f64 (PI.f64) v)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 v)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 v)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 v)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 v)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 v)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (PI.f64) v)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) v)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (PI.f64) v)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 v)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 v)))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 v)) (sqrt.f64 v))
(.f64 (.f64 (pow.f64 v #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 v #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (PI.f64) v)
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 v #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 v)))
(.f64 (cbrt.f64 (pow.f64 v #s(literal -2 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (cbrt.f64 v))))
(*.f64 (cbrt.f64 (pow.f64 v #s(literal -2 binary64))) (/.f64 (PI.f64) (cbrt.f64 v)))
(.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -1/2 binary64))) (pow.f64 v #s(literal -1/2 binary64)))
(/.f64 (PI.f64) v)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (PI.f64) v)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) v)
(pow.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 3 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (/.f64 v (PI.f64)) #s(literal -1 binary64))
(/.f64 (PI.f64) v)
(neg.f64 (/.f64 (PI.f64) (neg.f64 v)))
(/.f64 (PI.f64) v)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) v))
(/.f64 (PI.f64) v)
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))
(/.f64 (PI.f64) v)
(log.f64 (exp.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) v))))
(/.f64 (PI.f64) v)
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)))
(/.f64 (PI.f64) v)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) v)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(exp.f64 (log.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) v)) #s(literal 1 binary64)))
(/.f64 (PI.f64) v)
(exp.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 (PI.f64))))
(/.f64 (PI.f64) v)

simplify168.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-define`
263×	`*-commutative`
235×	`associate-r`
225×	`associate-l`
214×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	593	9254
1	1427	8646
2	4388	8614

Stop Event

1×	node limit

Counts

239 → 347

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(PI.f64)
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (PI.f64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4/3 binary64)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64)))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 v #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (PI.f64) (PI.f64) (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 v #s(literal 2 binary64))) (+.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 v (sqrt.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(exp.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))) #s(literal 1 binary64))
(.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(.f64 (/.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 4/3 binary64))
(.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (PI.f64) (PI.f64) (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))))
(pow.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) v))) #s(literal 1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))
(*.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 v)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) v))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) v)))
(.f64 (cbrt.f64 (pow.f64 v #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 v)) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) v)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (PI.f64) v)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) v))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (pow.f64 v #s(literal -1/2 binary64)) (/.f64 (PI.f64) (sqrt.f64 v)))
(.f64 (pow.f64 v #s(literal -1/2 binary64)) (.f64 (pow.f64 v #s(literal -1/2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) v)) (sqrt.f64 (/.f64 (PI.f64) v)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) v))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) v))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 v)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (PI.f64) v)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 v)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 v)))
(.f64 (.f64 (pow.f64 v #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 v #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 v #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 v)))
(.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -1/2 binary64))) (pow.f64 v #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64))
(pow.f64 (/.f64 v (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) (neg.f64 v)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) v))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (PI.f64) v)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) v))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) v)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) v)))
(exp.f64 (log.f64 (/.f64 (PI.f64) v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) v)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 (PI.f64))))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 9/4 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 #s(literal 9/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
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(/.f64 (PI.f64) v)
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 v #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 v)))
(.f64 (cbrt.f64 (pow.f64 v #s(literal -2 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (cbrt.f64 v))))
(*.f64 (cbrt.f64 (pow.f64 v #s(literal -2 binary64))) (/.f64 (PI.f64) (cbrt.f64 v)))
(.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -1/2 binary64))) (pow.f64 v #s(literal -1/2 binary64)))
(/.f64 (PI.f64) v)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (PI.f64) v)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) v)
(pow.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 3 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (/.f64 v (PI.f64)) #s(literal -1 binary64))
(/.f64 (PI.f64) v)
(neg.f64 (/.f64 (PI.f64) (neg.f64 v)))
(/.f64 (PI.f64) v)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) v))
(/.f64 (PI.f64) v)
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))
(/.f64 (PI.f64) v)
(log.f64 (exp.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) v))))
(/.f64 (PI.f64) v)
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)))
(/.f64 (PI.f64) v)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) v)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(exp.f64 (log.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) v)) #s(literal 1 binary64)))
(/.f64 (PI.f64) v)
(exp.f64 (+.f64 (neg.f64 (log.f64 v)) (log.f64 (PI.f64))))
(/.f64 (PI.f64) v)

eval188.0ms (2.6%)

Compiler: Compiled 9123 to 6916 computations (24.2% saved)

prune57.0ms (0.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	429	1	430
Fresh	0	0	0
Picked	0	4	4
Done	1	3	4
Total	430	8	438

Accuracy

100.0%

Counts

438 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	45.9%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	98.7%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	98.7%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	97.1%	(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
✓	98.6%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))

Compiler

Compiled 132 to 106 computations (19.7% saved)

localize154.0ms (2.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))
✓	98.5%	(/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))) (PI.f64))))
✓	47.5%	(.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))) (PI.f64)))

Results

113.0ms

256×

valid

Compiler

Compiled 120 to 79 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 32.0ms (35.9% of total)

ival-div: 28.0ms (31.4% of total)

ival-pow: 12.0ms (13.5% of total)

ival-sub: 5.0ms (5.6% of total)

ival-add: 4.0ms (4.5% of total)

const: 4.0ms (4.5% of total)

ival-sqrt: 4.0ms (4.5% of total)

ival-pi: 1.0ms (1.1% of total)

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

series4.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

Inputs

#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))) (PI.f64)))>

#<alt (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))) (PI.f64))))>

#<alt (*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))>

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	v	@	-inf	(/ 4/3 (* (pow v 2) (- (* (/ 1 v) (* (/ 1 v) (PI))) (PI))))
0.0ms	v	@	inf	(/ 4/3 (* (pow v 2) (- (* (/ 1 v) (* (/ 1 v) (PI))) (PI))))
0.0ms	v	@	0	(/ 4/3 (* (pow v 2) (- (* (/ 1 v) (* (/ 1 v) (PI))) (PI))))
0.0ms	v	@	inf	(* (pow v 2) (- (* (/ 1 v) (* (/ 1 v) (PI))) (PI)))
0.0ms	v	@	0	(* (pow v 2) (- (* (/ 1 v) (* (/ 1 v) (PI))) (PI)))

rewrite126.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1063×	`log1p-expm1-u`
1063×	`expm1-log1p-u`
332×	`fma-define`
194×	`fma-neg`
178×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	106
1	225	96
2	3058	96

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs

(*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))) (PI.f64)))

(/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))) (PI.f64))))

(*.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))

Outputs
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (pow.f64 v #s(literal 2 binary64))) (*.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)) (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)) (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)))
(pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 v (sqrt.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(fma.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (pow.f64 v #s(literal 2 binary64)) (.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) (pow.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 4/3 binary64))
(.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)) (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)))
(pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) v))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 v (PI.f64)))
(/.f64 (PI.f64) v)
(/.f64 (neg.f64 (PI.f64)) (neg.f64 v))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 v))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 v)) (sqrt.f64 v))
(/.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) v)
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 v))
(pow.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (PI.f64) v)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) v))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) v)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) v)))
(exp.f64 (log.f64 (/.f64 (PI.f64) v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) v)) #s(literal 1 binary64)))

simplify103.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

480×	`fma-neg`
446×	`associate-/r*`
386×	`times-frac`
368×	`div-sub`
357×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	3889
1	475	3769
2	1543	3604
3	5775	3344

Stop Event

1×	node limit

Counts

108 → 129

Calls

Call 1

Inputs
(PI.f64)
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (pow.f64 v #s(literal 2 binary64))) (*.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)) (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)) (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)))
(pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 v (sqrt.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(fma.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (pow.f64 v #s(literal 2 binary64)) (.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) (pow.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 4/3 binary64))
(.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)) (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)))
(pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) v))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 v (PI.f64)))
(/.f64 (PI.f64) v)
(/.f64 (neg.f64 (PI.f64)) (neg.f64 v))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 v))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 v)) (sqrt.f64 v))
(/.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) v)
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 v))
(pow.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (PI.f64) v)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) v))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) v)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) v)))
(exp.f64 (log.f64 (/.f64 (PI.f64) v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) v)) #s(literal 1 binary64)))

Outputs
(PI.f64)
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64)))
(*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64)))
(*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 4/3 binary64) (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 4/3 binary64) (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
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(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(exp.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) v))) #s(literal 1 binary64))
(/.f64 (PI.f64) v)
(/.f64 #s(literal 1 binary64) (/.f64 v (PI.f64)))
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (neg.f64 (PI.f64)) (neg.f64 v))
(/.f64 (PI.f64) v)
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 v))
(/.f64 (PI.f64) v)
(/.f64 (/.f64 (PI.f64) (sqrt.f64 v)) (sqrt.f64 v))
(/.f64 (PI.f64) v)
(/.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) v)
(/.f64 (PI.f64) v)
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 v))
(/.f64 (PI.f64) v)
(pow.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 3 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64))
(/.f64 (PI.f64) v)
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))
(/.f64 (PI.f64) v)
(log.f64 (exp.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) v))))
(/.f64 (PI.f64) v)
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)))
(/.f64 (PI.f64) v)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(exp.f64 (log.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) v)) #s(literal 1 binary64)))
(/.f64 (PI.f64) v)

simplify118.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

480×	`fma-neg`
446×	`associate-/r*`
386×	`times-frac`
368×	`div-sub`
357×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	3889
1	475	3769
2	1543	3604
3	5775	3344

Stop Event

1×	node limit

Counts

108 → 129

Calls

Call 1

Inputs
(PI.f64)
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (pow.f64 v #s(literal 2 binary64))) (*.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)) (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)) (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 v #s(literal 2 binary64))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)))
(pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 v (sqrt.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(fma.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) (pow.f64 v #s(literal 2 binary64)) (.f64 (neg.f64 (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) (pow.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 4/3 binary64))
(.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)) (pow.f64 (.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (PI.f64) (pow.f64 v #s(literal -2 binary64)) (PI.f64)))
(pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) v))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 v (PI.f64)))
(/.f64 (PI.f64) v)
(/.f64 (neg.f64 (PI.f64)) (neg.f64 v))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 v))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 v)) (sqrt.f64 v))
(/.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) v)
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 v))
(pow.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (PI.f64) v)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) v))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) v)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) v)))
(exp.f64 (log.f64 (/.f64 (PI.f64) v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) v)) #s(literal 1 binary64)))

Outputs
(PI.f64)
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64)))
(*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64)))
(*.f64 (PI.f64) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (neg.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
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(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) v) (sqrt.f64 (*.f64 (PI.f64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))) #s(literal 2 binary64))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) (.f64 v (sqrt.f64 (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 4/3 binary64)) v) (sqrt.f64 (*.f64 (PI.f64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))) #s(literal 2 binary64))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (*.f64 (PI.f64) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(exp.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 (PI.f64) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal -2 binary64)) (.f64 (PI.f64) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 v #s(literal -2 binary64))) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64))))) #s(literal 0 binary64))
(*.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) v))) #s(literal 1 binary64))
(/.f64 (PI.f64) v)
(/.f64 #s(literal 1 binary64) (/.f64 v (PI.f64)))
(/.f64 (PI.f64) v)
(/.f64 (PI.f64) v)
(/.f64 (neg.f64 (PI.f64)) (neg.f64 v))
(/.f64 (PI.f64) v)
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 v))
(/.f64 (PI.f64) v)
(/.f64 (/.f64 (PI.f64) (sqrt.f64 v)) (sqrt.f64 v))
(/.f64 (PI.f64) v)
(/.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) v)
(/.f64 (PI.f64) v)
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64))) (cbrt.f64 v))
(/.f64 (PI.f64) v)
(pow.f64 (/.f64 (PI.f64) v) #s(literal 1 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) v)) #s(literal 3 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (PI.f64) v)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) v)) #s(literal 2 binary64))
(/.f64 (PI.f64) v)
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 2 binary64)))
(/.f64 (PI.f64) v)
(log.f64 (exp.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) v))))
(/.f64 (PI.f64) v)
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64)))
(/.f64 (PI.f64) v)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))))
(/.f64 (PI.f64) v)
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(exp.f64 (log.f64 (/.f64 (PI.f64) v)))
(/.f64 (PI.f64) v)
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) v)) #s(literal 1 binary64)))
(/.f64 (PI.f64) v)

eval49.0ms (0.7%)

Compiler: Compiled 3928 to 2863 computations (27.1% saved)

prune28.0ms (0.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	144	8	152

Accuracy

100.0%

Counts

152 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	45.9%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	98.7%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	98.7%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	97.1%	(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
✓	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
✓	98.6%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))

Compiler

Compiled 313 to 233 computations (25.6% saved)

regimes9.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (PI.f64) v)) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (.f64 (/.f64 #s(literal 1 binary64) v) (PI.f64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))

Calls

4 calls:

4.0ms	v
2.0ms	(*.f64 v v)
1.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
1.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
100.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes4.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))

Outputs
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))

Calls

2 calls:

2.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.7%	1	`v`
98.7%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))

Calls

2 calls:

2.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.7%	1	`v`
98.7%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))

Outputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`v`

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 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))

Outputs
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`+-commutative`
3×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	191
1	45	191
2	52	191
3	56	191
4	58	191

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal 8/9 binary64)) (PI.f64))

soundness924.0ms (12.5%)

Rules

864×	`times-frac`
848×	`prod-diff`
647×	`fma-define`
594×	`times-frac`
473×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	665	10936
1	1462	10014
2	5140	9968
0	31	261
1	473	233
2	6683	233
0	589	18662
1	1549	17403
2	6059	17403
0	31	292
1	91	272
2	210	252
3	706	248
4	2204	248
5	5036	236
6	7676	236

Stop Event

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

Compiler

Compiled 1290 to 861 computations (33.3% saved)

preprocess63.0ms (0.9%)

Remove: (abs v)
Compiler: Compiled 342 to 252 computations (26.3% saved)

analyze5.0ms (0.1%)

sample1.3s (17.9%)

preprocess176.0ms (2.4%)

explain291.0ms (4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize171.0ms (2.3%)

series91.0ms (1.2%)

rewrite299.0ms (4.1%)

simplify239.0ms (3.2%)

simplify227.0ms (3.1%)

eval167.0ms (2.3%)

prune92.0ms (1.2%)

localize234.0ms (3.2%)

series16.0ms (0.2%)

rewrite218.0ms (3%)

simplify166.0ms (2.2%)

simplify229.0ms (3.1%)

eval526.0ms (7.2%)

prune63.0ms (0.9%)

localize369.0ms (5%)

series8.0ms (0.1%)

rewrite201.0ms (2.7%)

simplify164.0ms (2.2%)

simplify168.0ms (2.3%)

eval188.0ms (2.6%)

prune57.0ms (0.8%)

localize154.0ms (2.1%)

series4.0ms (0.1%)

rewrite126.0ms (1.7%)

simplify103.0ms (1.4%)

simplify118.0ms (1.6%)

eval49.0ms (0.7%)

prune28.0ms (0.4%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify89.0ms (1.2%)

soundness924.0ms (12.5%)

preprocess63.0ms (0.9%)

end0.0ms (0%)

Profiling