Given's Rotation SVD example

Time bar (total: 11.5s)

analyze690.0ms (6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%48.6%51.4%0%0%0%0
0%0%48.6%51.4%0%0%0%1
0%0%48.6%51.4%0%0%0%2
0%0%48.6%51.4%0%0%0%3
0%0%48.6%51.4%0%0%0%4
31.3%15.2%33.4%51.4%0%0%0%5
34.4%16.7%31.9%51.4%0%0%0%6
51.6%25.1%23.6%51.4%0%0%0%7
53.1%25.8%22.8%51.4%0%0%0%8
62.5%30.4%18.2%51.4%0%0%0%9
63.7%31%17.7%51.4%0%0%0%10
68.6%33.3%15.3%51.4%0%0%0%11
69.2%33.7%15%51.4%0%0%0%12
Compiler

Compiled 28 to 20 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 490.0ms
ival-mult: 157.0ms (32% of total)
...c/correct-round.rkt:121:19: 102.0ms (20.8% of total)
ival-add: 86.0ms (17.6% of total)
ival-sqrt: 63.0ms (12.9% of total)
ival-<: 28.0ms (5.7% of total)
ival-div: 26.0ms (5.3% of total)
ival-fabs: 20.0ms (4.1% of total)
ival-and: 4.0ms (0.8% of total)
const: 4.0ms (0.8% of total)
backward-pass: 1.0ms (0.2% of total)

sample3.0s (26.4%)

Results
1.5s6284×0valid
565.0ms1173×2valid
237.0ms619×1valid
81.0ms180×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 558.0ms (29.6% of total)
...c/correct-round.rkt:121:19: 435.0ms (23.1% of total)
ival-sqrt: 250.0ms (13.3% of total)
ival-<: 208.0ms (11% of total)
ival-add: 140.0ms (7.4% of total)
ival-div: 110.0ms (5.8% of total)
backward-pass: 93.0ms (4.9% of total)
ival-fabs: 63.0ms (3.3% of total)
const: 15.0ms (0.8% of total)
ival-and: 11.0ms (0.6% of total)
Bogosity

preprocess243.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
779×fma-define
424×fma-neg
127×distribute-lft-neg-in
109×unsub-neg
99×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048458
1116442
2225422
3463414
4812414
51330414
61995414
72498414
82755414
93060414
103178414
113242414
123248414
133249414
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 p)) (neg.f64 p)) (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) (neg.f64 x))))))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 p)) (neg.f64 p)) (*.f64 x x))))))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) (neg.f64 x)))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 p (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 p p)))))))
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 p)) (neg.f64 p)) (*.f64 x x)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) (neg.f64 x))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 p)) (neg.f64 p)) (*.f64 x x))))))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 p)) (neg.f64 p) (*.f64 x x))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p)))))))))
(neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) (neg.f64 x)))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p)))))))))
(neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64))))
(neg.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 p (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 p p)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 p (sqrt.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (*.f64 p p)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) p) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 p p))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 p p)))) #s(literal 1/2 binary64)))
Symmetry

(abs p)

explain227.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
550-0-(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
340-0-(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
230-0-(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
00-0-x
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 4 binary64) p)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) p) p)
00-0-(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
00-0-p
00-0-(*.f64 x x)
00-0-#s(literal 4 binary64)
00-0-(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
Results
60.0ms386×0valid
31.0ms68×2valid
12.0ms46×1valid
6.0ms12×3valid
Compiler

Compiled 213 to 44 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 21.0ms (38.6% of total)
ival-sqrt: 12.0ms (22.1% of total)
ival-add: 8.0ms (14.7% of total)
ival-div: 6.0ms (11% of total)
backward-pass: 6.0ms (11% of total)
const: 2.0ms (3.7% of total)

eval1.0ms (0%)

Compiler

Compiled 49 to 22 computations (55.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal 4 binary64) p)
✓cost-diff0
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
Rules
9×fma-define
6×*-commutative
3×1-exp
2×distribute-rgt-in
2×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020341
140341
250333
355333
457333
558333
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
x
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
(/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p)))))
x
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))
(sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))
(fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p)))
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) (*.f64 p p))
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)

localize282.0ms (2.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
✓accuracy92.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
✓accuracy87.5%
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓accuracy79.9%
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
Results
240.0ms193×0valid
14.0ms34×2valid
7.0ms23×1valid
3.0ms6×3valid
Compiler

Compiled 97 to 15 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 11.0ms (38.8% of total)
ival-sqrt: 6.0ms (21.2% of total)
ival-add: 5.0ms (17.6% of total)
ival-div: 3.0ms (10.6% of total)
backward-pass: 3.0ms (10.6% of total)
const: 1.0ms (3.5% of total)

series48.0ms (0.4%)

Counts
7 → 120
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 4 binary64) p) p)>
#<alt (*.f64 #s(literal 4 binary64) p)>
#<alt (*.f64 x x)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))>
#<alt (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))>
#<alt (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))>
Outputs
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) x))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 20 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 p #s(literal 3 binary64)))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) p)) (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
Calls

33 calls:

TimeVariablePointExpression
19.0ms
x
@-inf
(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
3.0ms
x
@-inf
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
2.0ms
x
@inf
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
2.0ms
x
@0
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms
p
@0
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

rewrite408.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
802×log1p-expm1-u
802×expm1-log1p-u
666×log-prod
484×fma-define
229×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020211
1269158
23572154
Stop Event
1×node limit
Counts
7 → 221
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
(*.f64 x x)
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) p))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) p))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) p))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) p) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) p)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) p)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) p)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) p)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 1 binary64))
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(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (*.f64 (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (*.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 p (*.f64 #s(literal 4 binary64) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) p)) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (*.f64 (cbrt.f64 p) (*.f64 #s(literal 4 binary64) p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 #s(literal 2 binary64) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 p) (*.f64 #s(literal 4 binary64) p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (*.f64 p (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal 4 binary64) p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 p (*.f64 #s(literal 2 binary64) (sqrt.f64 p))) (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) (sqrt.f64 p)) (sqrt.f64 p) (pow.f64 x #s(literal 2 binary64)))

simplify303.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
412×associate-*r*
406×fma-define
367×*-commutative
342×associate-*l*
279×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082415584
1205714813
2699814775
Stop Event
1×node limit
Counts
341 → 443
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
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x
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(pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 p (*.f64 #s(literal 4 binary64) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) p)) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (*.f64 (cbrt.f64 p) (*.f64 #s(literal 4 binary64) p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 #s(literal 2 binary64) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 p) (*.f64 #s(literal 4 binary64) p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (*.f64 p (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal 4 binary64) p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 p (*.f64 #s(literal 2 binary64) (sqrt.f64 p))) (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) (sqrt.f64 p)) (sqrt.f64 p) (pow.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 x p) #s(literal 3 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -12 binary64))) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
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#s(literal 2 binary64)
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(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
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#s(literal 1 binary64)
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(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64))
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x
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(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x) x)
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(*.f64 #s(literal 2 binary64) p)
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(*.f64 #s(literal -2 binary64) p)
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(*.f64 #s(literal 2 binary64) p)
(*.f64 p #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (*.f64 #s(literal 2 binary64) p))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p) (*.f64 p #s(literal 2 binary64)))
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(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 x x (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) p)) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 p (cbrt.f64 (*.f64 #s(literal 4 binary64) p))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (*.f64 (cbrt.f64 p) (*.f64 #s(literal 4 binary64) p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 #s(literal 2 binary64) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 p) (*.f64 #s(literal 4 binary64) p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 p (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal 4 binary64) p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 p (cbrt.f64 (*.f64 #s(literal 4 binary64) p))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 p (*.f64 #s(literal 2 binary64) (sqrt.f64 p))) (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) (sqrt.f64 p)) (sqrt.f64 p) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))

eval68.0ms (0.6%)

Compiler

Compiled 11687 to 2804 computations (76% saved)

prune68.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New43310443
Fresh000
Picked101
Done000
Total43410444
Accuracy
99.8%
Counts
444 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
▶48.9%
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
78.9%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))
17.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
49.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
▶79.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
▶6.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
38.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶53.0%
(sqrt.f64 #s(literal 1/2 binary64))
▶26.4%
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
Compiler

Compiled 226 to 180 computations (20.4% saved)

simplify624.0ms (5.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff128
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x)
✓cost-diff0
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
✓cost-diff192
(/.f64 x (neg.f64 x))
✓cost-diff320
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
✓cost-diff448
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
✓cost-diff448
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal 2 binary64) p)
✓cost-diff0
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
✓cost-diff0
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
Rules
1541×fma-define
1033×fma-neg
329×times-frac
289×distribute-lft-neg-in
261×distribute-lft-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033563
180459
2190451
3396451
4660451
5819447
61034447
71408447
81767447
92005447
102271447
112944447
123480447
133965447
144362447
154832447
165311447
175643447
185740447
195800447
205842447
215939447
226620447
236620447
246620447
256640447
266650447
276650447
286708447
297054447
307062447
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
#s(literal 1 binary64)
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
x
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(*.f64 #s(literal 2 binary64) p)
#s(literal 2 binary64)
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
#s(literal 1 binary64)
(/.f64 x (neg.f64 x))
x
(neg.f64 x)
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
p
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))
#s(literal 1/4 binary64)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
x
p
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
#s(literal 1 binary64)
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
x
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(*.f64 #s(literal 2 binary64) p)
#s(literal 2 binary64)
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (neg.f64 x)))))
(sqrt.f64 #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (neg.f64 x))))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (neg.f64 x))))
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 x (neg.f64 x))
#s(literal -1 binary64)
x
(neg.f64 x)
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 p (neg.f64 x)))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
p
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
#s(literal 1/4 binary64)
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 x p))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
x
p

localize215.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))
✓accuracy100.0%
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
✓accuracy99.6%
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
✓accuracy99.3%
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
✓accuracy98.4%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) p)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
✓accuracy92.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
✓accuracy87.5%
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
Results
59.0ms193×0valid
32.0ms34×1valid
26.0ms29×2valid
Compiler

Compiled 164 to 28 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-hypot: 19.0ms (27.4% of total)
ival-mult: 17.0ms (24.5% of total)
ival-div: 10.0ms (14.4% of total)
ival-sqrt: 9.0ms (13% of total)
backward-pass: 5.0ms (7.2% of total)
ival-add: 5.0ms (7.2% of total)
ival-neg: 3.0ms (4.3% of total)
const: 1.0ms (1.4% of total)

series49.0ms (0.4%)

Counts
21 → 219
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))>
#<alt (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))>
#<alt (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)>
#<alt (*.f64 #s(literal 2 binary64) p)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))>
#<alt (/.f64 x (neg.f64 x))>
#<alt (neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x)>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))>
#<alt (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))>
#<alt (neg.f64 x)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (*.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) p)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) p))>
#<alt x>
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#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))))))>
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#<alt (sqrt.f64 #s(literal 1/2 binary64))>
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#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 p #s(literal 3 binary64)))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
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#<alt #s(literal 1/2 binary64)>
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#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
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#<alt #s(literal 1 binary64)>
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#<alt #s(literal 1/2 binary64)>
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#<alt #s(literal 1/2 binary64)>
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#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
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#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
Calls

84 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(neg (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
2.0ms
p
@-inf
(* 1/4 (/ (* x (sqrt 1/2)) p))
1.0ms
p
@0
(neg (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
1.0ms
p
@-inf
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
1.0ms
x
@-inf
(* 1/2 (+ 1 (/ x (sqrt (+ (* (* 2 p) (* 2 p)) (* x x))))))

rewrite62.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
230×log1p-expm1-u
230×expm1-log1p-u
228×add-cube-cbrt
226×add-exp-log
226×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033453
1566453
Stop Event
1×node limit
Counts
21 → 505
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(*.f64 #s(literal 2 binary64) p)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
(/.f64 x (neg.f64 x))
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
(neg.f64 x)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)

simplify350.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
871×distribute-lft-in
500×fma-define
344×*-commutative
316×associate-*r*
255×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052514085
1163313581
2573913451
Stop Event
1×node limit
Counts
724 → 349
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (*.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) p)
(*.f64 #s(literal -1/2 binary64) (/.f64 x p))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) p))
x
(+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x)))
(+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) p)
(*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) p)
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) p)
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (*.f64 #s(literal 2 binary64) p))
(+.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
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(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 x p) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 3/256 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 3/256 binary64) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64))) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
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#s(literal 2 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1/2 binary64)
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p
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(-.f64 p #s(literal 1 binary64))
(+.f64 p #s(literal -1 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(hypot.f64 p #s(literal -2 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(log1p.f64 (expm1.f64 p))
p
(exp.f64 (log.f64 p))
p
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(pow.f64 p #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(+.f64 #s(literal 4 binary64) p)
(+.f64 p #s(literal 4 binary64))
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(*.f64 p #s(literal 2 binary64))
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
#s(literal 0 binary64)
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
#s(literal 0 binary64)
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(+.f64 p #s(literal 2 binary64))
(-.f64 p p)
#s(literal 0 binary64)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
#s(literal 1 binary64)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(cbrt.f64 p)
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
p
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(-.f64 p #s(literal 1 binary64))
(+.f64 p #s(literal -1 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(hypot.f64 p #s(literal -2 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(log1p.f64 (expm1.f64 p))
p
(exp.f64 (log.f64 p))
p
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(pow.f64 p #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(+.f64 #s(literal 4 binary64) p)
(+.f64 p #s(literal 4 binary64))
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(*.f64 p #s(literal 2 binary64))
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
#s(literal 0 binary64)
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
#s(literal 0 binary64)
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(+.f64 p #s(literal 2 binary64))
(-.f64 p p)
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal 2 binary64))
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(cbrt.f64 p)
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
p
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(-.f64 p #s(literal 1 binary64))
(+.f64 p #s(literal -1 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(hypot.f64 p #s(literal -2 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(log1p.f64 (expm1.f64 p))
p
(exp.f64 (log.f64 p))
p
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(pow.f64 p #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(+.f64 #s(literal 4 binary64) p)
(+.f64 p #s(literal 4 binary64))
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(*.f64 p #s(literal 2 binary64))
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
#s(literal 0 binary64)
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
#s(literal 0 binary64)
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(+.f64 p #s(literal 2 binary64))
(-.f64 p p)
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
#s(literal 1 binary64)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(cbrt.f64 p)
(neg.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
p
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(-.f64 p #s(literal 1 binary64))
(+.f64 p #s(literal -1 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(hypot.f64 p #s(literal -2 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(log1p.f64 (expm1.f64 p))
p
(exp.f64 (log.f64 p))
p
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(pow.f64 p #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(+.f64 #s(literal 4 binary64) p)
(+.f64 p #s(literal 4 binary64))
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(*.f64 p #s(literal 2 binary64))
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
#s(literal 0 binary64)
(+.f64 p (fma.f64 #s(literal -2 binary64) p p))
#s(literal 0 binary64)
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(+.f64 p #s(literal 2 binary64))
(-.f64 p p)
#s(literal 0 binary64)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
#s(literal 1 binary64)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(cbrt.f64 p)
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
p
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(-.f64 p #s(literal 1 binary64))
(+.f64 p #s(literal -1 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(hypot.f64 p #s(literal -2 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(log1p.f64 (expm1.f64 p))
p
(exp.f64 (log.f64 p))
p
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(pow.f64 p #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(+.f64 #s(literal 4 binary64) p)
(+.f64 p #s(literal 4 binary64))
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)

eval100.0ms (0.9%)

Compiler

Compiled 10587 to 1948 computations (81.6% saved)

prune70.0ms (0.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New37111382
Fresh235
Picked325
Done000
Total37616392
Accuracy
99.9%
Counts
392 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
▶48.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
▶78.9%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))
26.5%
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
17.8%
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
▶49.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓79.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
8.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
6.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
▶38.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓53.0%
(sqrt.f64 #s(literal 1/2 binary64))
9.0%
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
8.9%
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
15.8%
#s(literal 3/2 binary64)
12.5%
#s(literal 1/64 binary64)
▶6.3%
#s(literal 0 binary64)
Compiler

Compiled 262 to 215 computations (17.9% saved)

simplify141.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p))
✓cost-diff-6272
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
✓cost-diff0
(*.f64 x #s(literal 1/4 binary64))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
✓cost-diff-6272
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓cost-diff0
(*.f64 x #s(literal 1/4 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓cost-diff6528
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))
Rules
1329×associate-/r*
1032×fma-define
543×associate-*l/
496×associate-*r/
421×*-commutative
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
029390
156382
292382
3124382
4133382
5149382
6164382
7186379
8215379
9407379
101227379
113662379
124369379
134884379
145252379
156126379
166204379
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
#s(literal 1 binary64)
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
x
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(*.f64 #s(literal 2 binary64) p)
#s(literal 2 binary64)
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(*.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
p
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(*.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
p
Outputs
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
#s(literal 1 binary64)
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
x
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(*.f64 #s(literal 2 binary64) p)
#s(literal 2 binary64)
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
p
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) p)
(*.f64 (fma.f64 x #s(literal 1/4 binary64) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(fma.f64 x #s(literal 1/4 binary64) p)
(*.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
p

localize157.0ms (1.4%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 1/4 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy99.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
✓accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p))
✓accuracy100.0%
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
✓accuracy100.0%
(*.f64 x #s(literal 1/4 binary64))
✓accuracy95.5%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) p)
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
✓accuracy99.5%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))
Results
108.0ms193×0valid
18.0ms63×0invalid
Compiler

Compiled 126 to 24 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-div: 66.0ms (71.2% of total)
ival-mult: 9.0ms (9.7% of total)
ival-sqrt: 7.0ms (7.5% of total)
ival-hypot: 5.0ms (5.4% of total)
ival-add: 4.0ms (4.3% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series60.0ms (0.5%)

Counts
13 → 228
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))>
#<alt (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)>
#<alt (*.f64 x #s(literal 1/4 binary64))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p))>
#<alt (*.f64 #s(literal 2 binary64) p)>
Outputs
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal -3/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) x))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 20 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 p #s(literal 3 binary64)))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) p)) (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -3/128 binary64) (/.f64 x (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
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#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))>
#<alt (*.f64 p (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))>
#<alt (*.f64 p (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))))>
Calls

60 calls:

TimeVariablePointExpression
14.0ms
p
@inf
(sqrt (+ 1/2 (/ (* x 1/4) p)))
6.0ms
p
@-inf
(/ (* (sqrt 1/2) (+ (* x 1/4) p)) p)
1.0ms
x
@-inf
(sqrt (+ 1 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p)))))))
1.0ms
x
@-inf
(sqrt (+ 1/2 (/ (* x 1/4) p)))
1.0ms
x
@-inf
(* (sqrt (+ 1 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))) (sqrt 1/2))

rewrite236.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1364×log1p-expm1-u
179×expm1-log1p-u
177×add-cube-cbrt
176×add-exp-log
176×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028298
1398290
25775290
Stop Event
1×node limit
Counts
13 → 327
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(*.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(*.f64 #s(literal 2 binary64) p)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (/.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
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(/.f64 (*.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 p (-.f64 p (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) p)) (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #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)) (fma.f64 x #s(literal 1/4 binary64) p))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) p))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) p)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) p)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) p)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 1 binary64)))

simplify264.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
748×fma-define
734×associate-*r*
354×*-commutative
280×distribute-rgt-in
271×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124927121
1328825415
Stop Event
1×node limit
Counts
555 → 738
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal -3/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 20 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))))))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 p #s(literal 3 binary64)))))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) p)) (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -3/128 binary64) (/.f64 x (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) p)) (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #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)) (fma.f64 x #s(literal 1/4 binary64) p))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) p))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) p)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) p)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) p)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 1 binary64)))
Outputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 p #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) p))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (*.f64 (*.f64 #s(literal -1/32 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal -3/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -3/128 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 p #s(literal 3 binary64)))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -3/128 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (pow.f64 p #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(neg.f64 (*.f64 p (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) x))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) x p) p))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(+.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64)))) (-.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) x))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) p) (*.f64 #s(literal 1/4 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x (neg.f64 p))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 p (-.f64 p (*.f64 x #s(literal 1/4 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64)) (*.f64 p (-.f64 p (*.f64 #s(literal 1/4 binary64) x))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 p #s(literal 3 binary64))) (fma.f64 p (+.f64 p (*.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) (neg.f64 p))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) x (neg.f64 p))))
(/.f64 (*.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 p (-.f64 p (*.f64 x #s(literal 1/4 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64)) (*.f64 p (-.f64 p (*.f64 #s(literal 1/4 binary64) x))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 p #s(literal 3 binary64))) (fma.f64 p (+.f64 p (*.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) (neg.f64 p))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) x (neg.f64 p))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) x p) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/4 binary64) p)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 3 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(fma.f64 (*.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x p))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 p #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 1 binary64))
(*.f64 p #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 3 binary64))
(*.f64 p #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 p #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))
(*.f64 p #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 2 binary64)))
(*.f64 p #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) p))))
(*.f64 p #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 3 binary64)))
(*.f64 p #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) p)))
(expm1.f64 (log1p.f64 (*.f64 p #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) p)))
(*.f64 p #s(literal 2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) p)))
(*.f64 p #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 1 binary64)))
(*.f64 p #s(literal 2 binary64))

eval155.0ms (1.4%)

Compiler

Compiled 18147 to 3216 computations (82.3% saved)

prune129.0ms (1.1%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New7707777
Fresh189
Picked145
Done022
Total77221793
Accuracy
99.9%
Counts
793 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
✓48.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
10.6%
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
▶26.5%
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
26.6%
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
17.7%
(*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
▶49.0%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
26.5%
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
17.8%
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓49.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
48.9%
(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p))))
✓79.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
8.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
▶6.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
✓38.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓53.0%
(sqrt.f64 #s(literal 1/2 binary64))
▶9.0%
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
8.9%
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
15.8%
#s(literal 3/2 binary64)
▶12.5%
#s(literal 1/64 binary64)
✓6.3%
#s(literal 0 binary64)
Compiler

Compiled 353 to 283 computations (19.8% saved)

simplify94.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓cost-diff0
(neg.f64 p)
✓cost-diff0
(*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓cost-diff0
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)
✓cost-diff64
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) p)
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
✓cost-diff-6272
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) x) p)
Rules
979×fma-define
138×associate-*l*
130×associate-*r*
119×distribute-lft-in
82×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030381
164369
2143365
3364365
4734365
51227365
61611365
72344365
82467365
92502365
102509365
112509365
122511365
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) p)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/64 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#s(literal 1/2 binary64)
p
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
p
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 3/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(neg.f64 p)
p
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) p)
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/64 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#s(literal 1/2 binary64)
p
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 p (neg.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3/2 binary64) x)))
(/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (*.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
p
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 3/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 p (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 p (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))))
(*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 p (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x)))
(neg.f64 p)
p
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize98.0ms (0.9%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 p)
✓accuracy99.8%
(*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓accuracy99.6%
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy99.5%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓accuracy100.0%
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
✓accuracy99.7%
(/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)
✓accuracy99.3%
(*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy98.8%
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) p)
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy99.8%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy95.5%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p)))
Results
48.0ms193×0valid
15.0ms63×0invalid
Compiler

Compiled 117 to 25 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 12.0ms (37.5% of total)
ival-sqrt: 8.0ms (25% of total)
ival-div: 7.0ms (21.9% of total)
ival-neg: 2.0ms (6.2% of total)
ival-add: 1.0ms (3.1% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.4%)

Counts
14 → 204
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) p)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))>
#<alt (*.f64 #s(literal 1/2 binary64) p)>
#<alt (neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)>
#<alt (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (neg.f64 p)>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x))) (*.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) p)>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))))))) p)>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))))))) p)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) p)) (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
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#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 p x)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))))))) p)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) x) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p))) p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) p))) p)) (*.f64 #s(literal -1/4 binary64) x)) p)))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
p
@inf
(* (sqrt (+ 1 (/ (* 1/2 x) p))) (sqrt 1/2))
2.0ms
x
@inf
(sqrt (+ 1 (/ (* 1/2 x) p)))
2.0ms
x
@-inf
(* (sqrt (+ 1 (/ (* 1/2 x) p))) (sqrt 1/2))
1.0ms
x
@inf
(* (sqrt (+ 1 (/ (* 1/2 x) p))) (sqrt 1/2))
1.0ms
p
@0
(* (sqrt (+ 1 (/ (* 1/2 x) p))) (sqrt 1/2))

rewrite210.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
727×prod-diff
339×log1p-expm1-u
211×associate-*r*
189×add-cube-cbrt
189×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029300
1438248
26191248
Stop Event
1×node limit
Counts
14 → 428
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) p)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(neg.f64 p)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p)))
Outputs
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) p))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) p))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) p)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) p))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) p)))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) p))
(*.f64 (/.f64 #s(literal 1 binary64) p) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 x p) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (cbrt.f64 p)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 p)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 p)))
(*.f64 (/.f64 x (sqrt.f64 p)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 p)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 p)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 p)) (/.f64 x (sqrt.f64 p)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) p))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 p)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) p))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 p)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 p)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) p))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 p)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 p x)) #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 p))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 p)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 p)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) p))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) p))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) p)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) p)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) p)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) x)))
(-.f64 #s(literal 0 binary64) (*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) x)))) #s(literal 1 binary64))
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) x))
(*.f64 p (neg.f64 (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) x)))
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p x))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (*.f64 p (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p (neg.f64 x)))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
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(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (sqrt.f64 #s(literal 9/2 binary64))) p)))
(cbrt.f64 (pow.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 9/2 binary64)) #s(literal 9/2 binary64))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 9/2 binary64)) #s(literal 9/2 binary64)) (pow.f64 p #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
(exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 9/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 9/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 9/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 9/2 binary64)) #s(literal 9/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 9/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 #s(literal 9/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 9/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 9/2 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 9/2 binary64)) #s(literal 9/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 9/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 9/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 9/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 9/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)
(pow.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))) #s(literal 1 binary64))
(/.f64 p (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (*.f64 p (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) p) (neg.f64 x))
(/.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) p)
(-.f64 #s(literal 0 binary64) p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal 1 binary64))
(*.f64 p #s(literal 1 binary64))
(*.f64 p #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) p)
(*.f64 (cbrt.f64 p) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (cbrt.f64 p))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 p)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p)))
(*.f64 #s(literal -1 binary64) p)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 p)) (sqrt.f64 p))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) p))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 2 binary64))) p)
(pow.f64 p #s(literal 1 binary64))
(pow.f64 (cbrt.f64 p) #s(literal 3 binary64))
(pow.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 p #s(literal 2 binary64)))
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 p)))
(cbrt.f64 (pow.f64 p #s(literal 3 binary64)))
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))) #s(literal 1 binary64)))

simplify187.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
679×associate-*l*
676×associate-*r*
388×associate-/r*
367×times-frac
333×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097018549
1219918029
Stop Event
1×node limit
Counts
632 → 543
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -1/32 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 p #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p)))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/4 binary64))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 x p)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))) (neg.f64 x))
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(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))

eval103.0ms (0.9%)

Compiler

Compiled 9008 to 1979 computations (78% saved)

prune88.0ms (0.8%)

Pruning

28 alts after pruning (18 fresh and 10 done)

PrunedKeptTotal
New55411565
Fresh3710
Picked145
Done066
Total55828586
Accuracy
100.0%
Counts
586 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
✓48.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
9.0%
(/.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (neg.f64 x))
10.6%
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
9.0%
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
26.6%
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
26.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64)))
26.3%
(*.f64 (*.f64 (neg.f64 p) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓26.5%
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
8.9%
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))
26.6%
(*.f64 (*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
26.7%
(*.f64 (*.f64 (neg.f64 p) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64)))
9.0%
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
✓49.0%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
9.0%
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p (neg.f64 x)))
9.0%
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) (neg.f64 x)))
26.5%
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
17.8%
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓49.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
48.9%
(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p))))
✓79.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
8.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
✓6.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
✓38.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓53.0%
(sqrt.f64 #s(literal 1/2 binary64))
15.8%
#s(literal 3/2 binary64)
✓12.5%
#s(literal 1/64 binary64)
✓6.3%
#s(literal 0 binary64)
Compiler

Compiled 640 to 369 computations (42.3% saved)

regimes92.0ms (0.8%)

Counts
40 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 3/2 binary64)
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p (neg.f64 x)))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (neg.f64 x))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(*.f64 (*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 p) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 p) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
(*.f64 (*.f64 (neg.f64 p) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
Calls

7 calls:

26.0ms
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
12.0ms
x
12.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
11.0ms
p
10.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
Results
AccuracySegmentsBranch
79.3%1p
85.5%2x
99.9%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
99.9%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
99.9%2(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
99.9%2(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
79.3%1(*.f64 (*.f64 #s(literal 4 binary64) p) p)
Compiler

Compiled 80 to 56 computations (30% saved)

regimes38.0ms (0.3%)

Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 3/2 binary64)
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p (neg.f64 x)))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (neg.f64 x))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(*.f64 (*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
Calls

4 calls:

10.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
9.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
8.0ms
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
8.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
Results
AccuracySegmentsBranch
99.7%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
99.7%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
99.7%2(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
99.7%2(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes21.0ms (0.2%)

Counts
31 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 3/2 binary64)
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p (neg.f64 x)))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (neg.f64 x))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64)))
Calls

2 calls:

10.0ms
x
9.0ms
p
Results
AccuracySegmentsBranch
73.3%4p
71.3%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
28 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 3/2 binary64)
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p (neg.f64 x)))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (neg.f64 x))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
Calls

1 calls:

10.0ms
p
Results
AccuracySegmentsBranch
73.3%4p
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
24 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 3/2 binary64)
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p (neg.f64 x)))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (neg.f64 x))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
Calls

1 calls:

7.0ms
p
Results
AccuracySegmentsBranch
73.3%4p
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
22 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 3/2 binary64)
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p (neg.f64 x)))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (neg.f64 x))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
Calls

1 calls:

7.0ms
p
Results
AccuracySegmentsBranch
73.3%4p
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 3/2 binary64)
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p (neg.f64 x)))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (neg.f64 x))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 9/2 binary64)))))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(neg.f64 (/.f64 (*.f64 p (*.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
Calls

2 calls:

6.0ms
p
6.0ms
x
Results
AccuracySegmentsBranch
62.0%2x
69.4%2p
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 3/2 binary64)
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))
(*.f64 p (/.f64 (sqrt.f64 #s(literal 9/2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 9/2 binary64)) (/.f64 p (neg.f64 x)))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 9/2 binary64))) (neg.f64 x))
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
Calls

1 calls:

4.0ms
p
Results
AccuracySegmentsBranch
69.1%2p
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 3/2 binary64)
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
(sqrt.f64 #s(literal 1/2 binary64))
Outputs
(sqrt.f64 #s(literal 1/2 binary64))
Calls

2 calls:

5.0ms
x
2.0ms
p
Results
AccuracySegmentsBranch
53.0%1x
53.0%1p
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
#s(literal 3/2 binary64)
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) p)) p)
Outputs
#s(literal 0 binary64)
#s(literal 3/2 binary64)
Calls

2 calls:

2.0ms
p
2.0ms
x
Results
AccuracySegmentsBranch
18.0%2x
15.8%1p
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
Outputs
#s(literal 0 binary64)
#s(literal 1/64 binary64)
Calls

2 calls:

2.0ms
x
2.0ms
p
Results
AccuracySegmentsBranch
14.5%2p
14.9%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
p
Results
AccuracySegmentsBranch
6.3%1p
6.3%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0
-2.686707122280172e-5
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0
-2.686707122280172e-5
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch85.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.2763517171873255e+20
4.588502315515582e+23
25.0ms
1.0935138108643122e-153
1.3035028191106508e-151
30.0ms
3.618812269111273e-280
3.8769665967010335e-276
Results
24.0ms243×0valid
23.0ms73×2valid
8.0ms39×1valid
7.0ms13×3valid
Compiler

Compiled 492 to 432 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 17.0ms (37% of total)
ival-sqrt: 11.0ms (24% of total)
ival-div: 7.0ms (15.2% of total)
ival-add: 6.0ms (13.1% of total)
backward-pass: 3.0ms (6.5% of total)
const: 1.0ms (2.2% of total)

bsearch91.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.2763517171873255e+20
4.588502315515582e+23
26.0ms
1.0935138108643122e-153
1.3035028191106508e-151
33.0ms
3.618812269111273e-280
3.8769665967010335e-276
Results
33.0ms84×2valid
21.0ms224×0valid
8.0ms42×1valid
7.0ms18×3valid
Compiler

Compiled 468 to 416 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 17.0ms (34% of total)
ival-sqrt: 14.0ms (28% of total)
ival-div: 8.0ms (16% of total)
ival-add: 7.0ms (14% of total)
backward-pass: 4.0ms (8% of total)
const: 1.0ms (2% of total)

bsearch90.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.2763517171873255e+20
4.588502315515582e+23
27.0ms
1.0935138108643122e-153
1.3035028191106508e-151
30.0ms
3.618812269111273e-280
3.8769665967010335e-276
Results
27.0ms89×2valid
25.0ms219×0valid
9.0ms44×1valid
6.0ms16×3valid
Compiler

Compiled 468 to 416 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 19.0ms (40.4% of total)
ival-sqrt: 10.0ms (21.3% of total)
ival-div: 7.0ms (14.9% of total)
ival-add: 7.0ms (14.9% of total)
backward-pass: 4.0ms (8.5% of total)
const: 1.0ms (2.1% of total)

bsearch94.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.2763517171873255e+20
4.588502315515582e+23
25.0ms
1.0935138108643122e-153
1.3035028191106508e-151
36.0ms
3.618812269111273e-280
3.8769665967010335e-276
Results
26.0ms223×0valid
25.0ms86×2valid
10.0ms41×1valid
7.0ms18×3valid
Compiler

Compiled 468 to 416 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 20.0ms (42.8% of total)
ival-sqrt: 10.0ms (21.4% of total)
ival-add: 7.0ms (15% of total)
ival-div: 5.0ms (10.7% of total)
backward-pass: 4.0ms (8.6% of total)
const: 1.0ms (2.1% of total)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
1.2763517171873255e+20
4.588502315515582e+23
Results
10.0ms109×0valid
6.0ms15×1valid
1.0ms4×2valid
Compiler

Compiled 168 to 146 computations (13.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31.9% of total)
ival-mult: 4.0ms (31.9% of total)
ival-sqrt: 2.0ms (16% of total)
ival-add: 2.0ms (16% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.2763517171873255e+20
4.588502315515582e+23
Results
9.0ms101×0valid
7.0ms23×1valid
1.0ms4×2valid
Compiler

Compiled 120 to 114 computations (5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 5.0ms (38.6% of total)
ival-mult: 4.0ms (30.9% of total)
ival-add: 2.0ms (15.4% of total)
ival-div: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch150.0ms (1.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
147.0ms
-1.2883721227952615e+46
-3.1207383633433835e+43
Results
15.0ms52×2valid
5.0ms47×0valid
4.0ms10×3valid
4.0ms19×1valid
Compiler

Compiled 88 to 82 computations (6.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.2% of total)
ival-sqrt: 4.0ms (20.7% of total)
ival-add: 3.0ms (15.5% of total)
ival-div: 2.0ms (10.3% of total)
backward-pass: 2.0ms (10.3% of total)
const: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
-1.2883721227952615e+46
-3.1207383633433835e+43
Results
26.0ms47×2valid
6.0ms60×0valid
3.0ms7×3valid
3.0ms14×1valid
Compiler

Compiled 88 to 82 computations (6.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.8% of total)
ival-sqrt: 4.0ms (22.1% of total)
ival-add: 3.0ms (16.6% of total)
ival-div: 2.0ms (11.1% of total)
backward-pass: 2.0ms (11.1% of total)
const: 0.0ms (0% of total)

simplify27.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
46×*-commutative
26×neg-sub0
26×neg-mul-1
25×+-commutative
21×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117812
1165812
2217812
3290812
4324812
5338812
6341812
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 p) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 p #s(literal 4311015068594995/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 7170528607160929/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64))) (if (<=.f64 p #s(literal 290000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 p #s(literal 8781697361952767/9979201547673599058281863565184192830337256302177287707512736212186059459344820328924789827463178505446712234220962476219862189941967968303695858991424157101600028364755428382587688607221814935913266783722719619966654052275604351944444276342240220787535604534378780208211792476151720049639424 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 5307134659905293/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64))) (if (<=.f64 p #s(literal 36000000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(if (<=.f64 p #s(literal 5488560851220479/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 7371020360979573/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (if (<=.f64 p #s(literal 220000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(if (<=.f64 p #s(literal 5588352866697215/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 6227038000955543/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x)) (if (<=.f64 p #s(literal 1020000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(if (<=.f64 p #s(literal 3200000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))
(if (<=.f64 p #s(literal 1080000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -95000000000000004418885209327884628989575168 binary64)) #s(literal 0 binary64) #s(literal 3/2 binary64))
(if (<=.f64 x #s(literal -219999999999999995638546337394828531480920064 binary64)) #s(literal 0 binary64) #s(literal 1/64 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 p) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 p) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (*.f64 p (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))))))
(if (<=.f64 p #s(literal 4311015068594995/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 7170528607160929/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64))) (if (<=.f64 p #s(literal 290000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 p #s(literal 4311015068594995/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 7170528607160929/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x)))) (if (<=.f64 p #s(literal 290000000000000000000 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p)))))))
(if (<=.f64 p #s(literal 8781697361952767/9979201547673599058281863565184192830337256302177287707512736212186059459344820328924789827463178505446712234220962476219862189941967968303695858991424157101600028364755428382587688607221814935913266783722719619966654052275604351944444276342240220787535604534378780208211792476151720049639424 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 5307134659905293/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64))) (if (<=.f64 p #s(literal 36000000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(if (<=.f64 p #s(literal 8781697361952767/9979201547673599058281863565184192830337256302177287707512736212186059459344820328924789827463178505446712234220962476219862189941967968303695858991424157101600028364755428382587688607221814935913266783722719619966654052275604351944444276342240220787535604534378780208211792476151720049639424 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 5307134659905293/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (neg.f64 x)))) (if (<=.f64 p #s(literal 36000000000000000000000 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(if (<=.f64 p #s(literal 5488560851220479/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 7371020360979573/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (if (<=.f64 p #s(literal 220000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(if (<=.f64 p #s(literal 5488560851220479/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 7371020360979573/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))) (if (<=.f64 p #s(literal 220000000000000000000 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(if (<=.f64 p #s(literal 5488560851220479/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 7371020360979573/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (*.f64 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (if (<=.f64 p #s(literal 220000000000000000000 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(if (<=.f64 p #s(literal 5588352866697215/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 6227038000955543/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x)) (if (<=.f64 p #s(literal 1020000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(if (<=.f64 p #s(literal 5588352866697215/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 6227038000955543/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)) (if (<=.f64 p #s(literal 1020000000000000000000 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))))
(if (<=.f64 p #s(literal 3200000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))
(if (<=.f64 p #s(literal 3200000000000000000000 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))))
(if (<=.f64 p #s(literal 1080000000000000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 p #s(literal 1080000000000000000000 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -95000000000000004418885209327884628989575168 binary64)) #s(literal 0 binary64) #s(literal 3/2 binary64))
(if (<=.f64 x #s(literal -219999999999999995638546337394828531480920064 binary64)) #s(literal 0 binary64) #s(literal 1/64 binary64))
#s(literal 0 binary64)

soundness1.7s (14.9%)

Rules
871×distribute-lft-in
802×log1p-expm1-u
802×expm1-log1p-u
748×fma-define
734×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033453
1566453
052514085
1163313581
2573913451
0124927121
1328825415
029300
1438248
26191248
082415584
1205714813
2699814775
097018549
1219918029
020211
1269158
23572154
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1215 to 492 computations (59.5% saved)

preprocess101.0ms (0.9%)

Compiler

Compiled 828 to 436 computations (47.3% saved)

end0.0ms (0%)

Profiling

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