Given's Rotation SVD example

Time bar (total: 10.6s)

analyze471.0ms (4.5%)

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 27 to 21 computations (22.2% saved)

sample2.2s (20.8%)

Results
928.0ms6168×0valid
410.0ms1246×2valid
229.0ms653×1valid
76.0ms189×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 374.0ms (29.4% of total)
...in/eval/compile.rkt:71:19: 249.0ms (19.6% of total)
ival-sqrt: 195.0ms (15.3% of total)
ival-add: 133.0ms (10.5% of total)
ival-div: 101.0ms (7.9% of total)
ival-<: 72.0ms (5.7% of total)
adjust: 66.0ms (5.2% of total)
ival-fabs: 57.0ms (4.5% of total)
ival-and: 13.0ms (1% of total)
...in/eval/compile.rkt:70:19: 9.0ms (0.7% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess192.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
779×fma-define
424×fmm-def
126×distribute-lft-neg-in
100×associate-*l*
98×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048458
1116442
2225422
3459414
4806414
51322414
61990414
72493414
82750414
93055414
103173414
113237414
123243414
133244414
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 #s(literal 1 binary64) (/.f64 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)

explain375.0ms (3.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-0-(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)))))
210-2(1.9615744987220622e-180 -7.714028323599264e-25)(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-(*.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-#s(literal 1 binary64)
00-0-(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
00-0-#s(literal 4 binary64)
00-0-(*.f64 x x)
00-0-p
00-0-(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
00-0-(*.f64 (*.f64 #s(literal 4 binary64) p) p)
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 4 binary64) p)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))oflow-rescue660
↳(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))overflow66
↳(*.f64 (*.f64 #s(literal 4 binary64) p) p)overflow66
+.f64(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))cancellation340
sqrt.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) p) p) (*.f64 x x)))))))uflow-rescue190
↳(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)))))))underflow5
↳(*.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))))))underflow24
↳(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))underflow24
↳(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))underflow8
↳(*.f64 (*.f64 #s(literal 4 binary64) p) p)underflow52
Confusion
Predicted +Predicted -
+530
-66137
Precision
0.44537815126050423
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5300
-660137
Precision?
0.44537815126050423
Recall?
1.0
Freqs
test
numberfreq
0137
1119
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
146.0ms44×1valid
67.0ms396×0valid
34.0ms64×2valid
4.0ms8×3valid
Compiler

Compiled 230 to 60 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-div: 141.0ms (76.8% of total)
ival-mult: 19.0ms (10.4% of total)
ival-sqrt: 10.0ms (5.4% of total)
ival-add: 7.0ms (3.8% of total)
adjust: 5.0ms (2.7% of total)
...in/eval/compile.rkt:70:19: 1.0ms (0.5% of total)
ival-true: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% 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
▶80.7%
(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)

simplify12.0ms (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)

localize67.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
✓accuracy92.7%
(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)))))))
✓accuracy88.3%
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓accuracy75.9%
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
Results
29.0ms198×0valid
13.0ms32×2valid
5.0ms22×1valid
2.0ms4×3valid
Compiler

Compiled 96 to 16 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (32.4% of total)
ival-sqrt: 5.0ms (20.2% of total)
ival-add: 5.0ms (20.2% of total)
ival-div: 3.0ms (12.1% of total)
adjust: 3.0ms (12.1% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.6%)

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

33 calls:

TimeVariablePointExpression
40.0ms
x
@inf
(sqrt (* 1/2 (+ 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
(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
1.0ms
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)))))))

rewrite447.0ms (4.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
020224
1269161
23572157
Stop Event
1×node limit
Counts
7 → 201
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 x (sqrt.f64 (+.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))))))
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(+.f64 (log.f64 (sqrt.f64 (exp.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)))))) (log.f64 (sqrt.f64 (exp.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)))))))
(-.f64 (exp.f64 (log1p.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 #s(literal 1 binary64) (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))))
(*.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 (cbrt.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)))) (cbrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (cbrt.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)))))
(*.f64 (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 (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 (pow.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 1/4 binary64)) (pow.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 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (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))))
(*.f64 (pow.f64 (pow.f64 (cbrt.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 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.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)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.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 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(pow.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))
(pow.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))
(pow.f64 (cbrt.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 3 binary64))
(pow.f64 (pow.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 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.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 1/4 binary64)) #s(literal 2 binary64))
(fabs.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))))
(log.f64 (exp.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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (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))))))
(cbrt.f64 (pow.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 3/2 binary64)))
(expm1.f64 (log1p.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)))))
(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 #s(literal 0 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (cbrt.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) (log.f64 (sqrt.f64 (exp.f64 (/.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 x (/.f64 #s(literal 1 binary64) (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 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(neg.f64 (/.f64 (neg.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(exp.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.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)) #s(literal -1 binary64))
(fma.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))))) #s(literal -1 binary64))
(fma.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))))) #s(literal -1 binary64))
(fma.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) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.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))))) #s(literal -1 binary64))

simplify214.0ms (2%)

Algorithm
1×egg-herbie
Rules
455×fma-define
374×associate-*r*
357×*-commutative
327×associate-*l*
322×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080015286
1200614689
2694914653
Stop Event
1×node limit
Counts
321 → 473
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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#s(literal 1 binary64)
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(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (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 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(neg.f64 (/.f64 (neg.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(exp.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.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)) #s(literal -1 binary64))
(fma.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))))) #s(literal -1 binary64))
(fma.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))))) #s(literal -1 binary64))
(fma.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) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.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))))) #s(literal -1 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))
(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 (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 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #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 (*.f64 (pow.f64 p #s(literal 4 binary64)) #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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#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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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)
(*.f64 p #s(literal 2 binary64))
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#s(literal 1 binary64)
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(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(pow.f64 (/.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) x) #s(literal -1 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(neg.f64 (/.f64 x (neg.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (+.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 p #s(literal 2 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(fma.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)) #s(literal -1 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(fma.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))))) #s(literal -1 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(fma.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))))) #s(literal -1 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(fma.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) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) (+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))))
(fma.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))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))

eval74.0ms (0.7%)

Compiler

Compiled 12736 to 2709 computations (78.7% saved)

prune120.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4658473
Fresh000
Picked101
Done000
Total4668474
Accuracy
99.8%
Counts
474 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶24.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
▶11.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
15.3%
(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)))))
58.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
▶80.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
▶5.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
32.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶61.4%
(sqrt.f64 #s(literal 1/2 binary64))
Compiler

Compiled 190 to 148 computations (22.1% saved)

simplify640.0ms (6.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓cost-diff128
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
✓cost-diff384
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
✓cost-diff384
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
✓cost-diff128
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
✓cost-diff256
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
✓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
2132×fma-define
567×distribute-lft-in
508×distribute-rgt-in
481×fmm-def
389×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041699
181663
2184655
3470631
4922631
51362631
61762631
72449631
83330631
93810631
104090631
114185631
124219631
134231631
145178631
156270631
166353631
176408631
186443631
196515631
206554631
216637631
226670631
236740631
246778631
256833631
267214631
277379631
287511631
297596631
307800631
317892631
327946631
Stop Event
1×node limit
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) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 x)
x
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 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 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(literal 2 binary64)
(pow.f64 p #s(literal 2 binary64))
p
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64)))
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -12 binary64)
(pow.f64 x #s(literal 2 binary64))
x
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 #s(literal 1/2 binary64)) (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 #s(literal 1/2 binary64)) (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) #s(literal -1 binary64))))
(sqrt.f64 #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (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 (neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)))
(*.f64 p (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) x))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 x)
x
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (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)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #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 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #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 (*.f64 #s(literal 1/2 binary64) (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 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #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 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #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)))))
(fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #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 #s(literal 1/2 binary64) (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 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 2 binary64)
(pow.f64 p #s(literal 2 binary64))
p
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) (/.f64 #s(literal -12 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 2 binary64)))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64))
(*.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 -6 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64)))
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -12 binary64)
(pow.f64 x #s(literal 2 binary64))
x

localize190.0ms (1.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64))
✓accuracy97.9%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓accuracy94.5%
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
✓accuracy84.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(neg.f64 x)
✓accuracy99.7%
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
✓accuracy100.0%
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
✓accuracy92.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
✓accuracy88.3%
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
Results
44.0ms147×0invalid
28.0ms33×1valid
25.0ms25×2valid
15.0ms51×0valid
Compiler

Compiled 224 to 35 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 14.0ms (21.1% of total)
ival-sqrt: 11.0ms (16.6% of total)
ival-div: 10.0ms (15.1% of total)
ival-pow: 10.0ms (15.1% of total)
ival-hypot: 7.0ms (10.5% of total)
adjust: 6.0ms (9% of total)
ival-add: 3.0ms (4.5% of total)
ival-fma: 3.0ms (4.5% of total)
...in/eval/compile.rkt:70:19: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series73.0ms (0.7%)

Counts
21 → 300
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) #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<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 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 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))))>
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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 (+.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 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 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)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 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)))))>
#<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))))))>
#<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 (*.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)))) (*.f64 #s(literal -1/4 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 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.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 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.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 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 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)))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 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 1/4 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 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 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)))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.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 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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 -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/32 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 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 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 -1/32 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 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 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 -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))>
#<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)>
#<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 -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64)))>
Calls

81 calls:

TimeVariablePointExpression
18.0ms
p
@inf
(* p (sqrt 1/2))
6.0ms
p
@-inf
(* p (sqrt 1/2))
3.0ms
p
@inf
(* (sqrt 2) (* p (sqrt 1/2)))
2.0ms
x
@inf
(/ (* (* 1/2 (pow p 4)) -12) (pow x 2))
2.0ms
p
@0
(sqrt (* 1/2 (/ (+ (* 2 (pow p 2)) (/ (* (* 1/2 (pow p 4)) -12) (pow x 2))) (pow x 2))))

rewrite455.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
978×prod-diff
244×log1p-expm1-u
244×expm1-log1p-u
240×pow1
239×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041607
1577557
27756557
Stop Event
1×node limit
Counts
21 → 492
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) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #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 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 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 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 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)))))
(*.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)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))) (/.f64 (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64)) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64)) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64)))))
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(exp.f64 (+.f64 (log1p.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 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 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)))))
(*.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 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 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 -2 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 1/4 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) x) (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) x))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) x))
(*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) x) (/.f64 #s(literal -12 binary64) x))
(*.f64 (/.f64 #s(literal -12 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -12 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -12 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(pow.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64))
(neg.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 144 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 144 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 1 binary64)))

simplify443.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
839×fma-define
421×*-commutative
393×distribute-rgt-in
390×distribute-lft-in
188×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0152739036
1387638010
Stop Event
1×node limit
Counts
792 → 1009
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)))))))
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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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(*.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) x) (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) x))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) x))
(*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) x) (/.f64 #s(literal -12 binary64) x))
(*.f64 (/.f64 #s(literal -12 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -12 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -12 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(pow.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64))
(neg.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 144 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 144 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 1 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) (*.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))
#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) (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 -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (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 (*.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)) (*.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 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)))) (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 #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 (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 (pow.f64 p #s(literal 4 binary64)) (/.f64 #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 1/2 binary64) (/.f64 (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)))) (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)))
(/.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 (*.f64 #s(literal 2 binary64) (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 (pow.f64 p #s(literal 4 binary64)) (/.f64 #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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#s(literal 1 binary64)
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(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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(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
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#s(literal 1 binary64)
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#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))
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#s(literal 1/2 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1/2 binary64)
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(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 144 binary64)))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 36 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(exp.f64 (log.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))

eval138.0ms (1.3%)

Compiler

Compiled 24701 to 4330 computations (82.5% saved)

prune401.0ms (3.8%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1016131029
Fresh213
Picked235
Done000
Total1020171037
Accuracy
100.0%
Counts
1037 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.5%
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
25.0%
(/.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
24.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x))))
✓24.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
▶23.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
▶16.0%
(/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (neg.f64 x))
24.5%
(/.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) (neg.f64 x))
▶24.8%
(*.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
24.8%
(*.f64 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
8.0%
(sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
58.2%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
12.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))
✓80.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
32.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓61.4%
(sqrt.f64 #s(literal 1/2 binary64))
24.8%
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
▶5.4%
#s(literal 0 binary64)
Compiler

Compiled 386 to 305 computations (21% saved)

simplify276.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff12800
(exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
✓cost-diff12800
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
✓cost-diff12800
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
✓cost-diff128
(*.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(neg.f64 x)
✓cost-diff0
(pow.f64 p #s(literal 2 binary64))
✓cost-diff6464
(sqrt.f64 (pow.f64 p #s(literal 2 binary64)))
✓cost-diff6464
(/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (neg.f64 x))
✓cost-diff0
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
Rules
901×fma-define
680×fmm-def
377×associate-*r*
333×times-frac
281×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031374
162332
2163326
3518326
41330326
51816326
62160326
72687326
82869326
93145326
103408326
113516326
123599326
134221326
144726326
154803326
164827326
174834326
184836326
194836326
204836326
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (neg.f64 x))
(sqrt.f64 (pow.f64 p #s(literal 2 binary64)))
(pow.f64 p #s(literal 2 binary64))
p
#s(literal 2 binary64)
(neg.f64 x)
x
(*.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
p
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 x)
x
Outputs
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (fabs.f64 p) (neg.f64 x))
(sqrt.f64 (pow.f64 p #s(literal 2 binary64)))
(fabs.f64 p)
(pow.f64 p #s(literal 2 binary64))
p
#s(literal 2 binary64)
(neg.f64 x)
x
(*.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
p
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
p
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 x)
x

localize110.0ms (1%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
accuracy99.3%
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
✓accuracy91.2%
(exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
✓accuracy100.0%
(neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
✓accuracy99.3%
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.3%
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy100.0%
(pow.f64 p #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (neg.f64 x))
accuracy100.0%
(neg.f64 x)
✓accuracy55.8%
(sqrt.f64 (pow.f64 p #s(literal 2 binary64)))
✓accuracy100.0%
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
✓accuracy98.4%
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
Results
68.0ms256×0valid
Compiler

Compiled 118 to 27 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 10.0ms (27.8% of total)
ival-mult: 7.0ms (19.5% of total)
ival-div: 6.0ms (16.7% of total)
ival-sqrt: 5.0ms (13.9% of total)
ival-log: 3.0ms (8.3% of total)
ival-exp: 2.0ms (5.6% of total)
ival-neg: 2.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series74.0ms (0.7%)

Counts
13 → 132
Calls
Call 1
Inputs
#<alt (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))>
#<alt (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (neg.f64 x))>
#<alt (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))>
#<alt (pow.f64 p #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 p (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt p>
#<alt p>
#<alt p>
#<alt p>
#<alt p>
#<alt p>
#<alt p>
#<alt p>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<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 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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))>
Calls

39 calls:

TimeVariablePointExpression
37.0ms
p
@0
(log (* p (sqrt 1/2)))
19.0ms
p
@-inf
(log (* p (sqrt 1/2)))
6.0ms
p
@inf
(log (* p (sqrt 1/2)))
2.0ms
p
@inf
(* p (sqrt 2))
1.0ms
p
@0
(/ (sqrt (pow p 2)) (neg x))

rewrite124.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
183×associate-*r*
170×log1p-expm1-u
170×expm1-log1p-u
166×add-exp-log
166×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030224
1427224
25705224
Stop Event
1×unsound
Counts
13 → 387
Calls
Call 1
Inputs
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (neg.f64 x))
(sqrt.f64 (pow.f64 p #s(literal 2 binary64)))
(pow.f64 p #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (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)) (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(fabs.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/2 binary64))))
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(/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (log.f64 p))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (log.f64 p) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 p) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 p) (log.f64 p)) (-.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (log.f64 p) (log.f64 p)) (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(pow.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (-.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))

simplify461.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
712×fma-define
404×fmm-def
377×associate-*l/
282×associate-/l*
281×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063212691
1123512625
2335111897
3773011896
Stop Event
1×node limit
Counts
519 → 379
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
p
p
p
p
p
p
p
p
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
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(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
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(*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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(*.f64 #s(literal -1 binary64) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 p (*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
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(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.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 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))
(+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))
(+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))
(+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (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)) (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
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(pow.f64 (pow.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 p) (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 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 p #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (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)) (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (log.f64 p))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (log.f64 p) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 p) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 p) (log.f64 p)) (-.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (log.f64 p) (log.f64 p)) (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(pow.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (-.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
p
p
p
p
p
p
p
p
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (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 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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)) x) (*.f64 p (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
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p
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(log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(+.f64 (log.f64 p) (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))

eval144.0ms (1.4%)

Compiler

Compiled 6341 to 1376 computations (78.3% saved)

prune162.0ms (1.5%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New5027509
Fresh549
Picked325
Done123
Total51115526
Accuracy
100.0%
Counts
526 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶24.9%
(/.f64 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (neg.f64 x))
✓23.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
15.2%
(/.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 p)))) (neg.f64 x))
23.2%
(/.f64 (exp.f64 (log.f64 p)) (neg.f64 x))
25.0%
(/.f64 p (neg.f64 x))
▶5.4%
(/.f64 p x)
▶5.4%
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
25.0%
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
8.0%
(sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
▶58.2%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
12.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))
✓80.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
▶32.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓61.4%
(sqrt.f64 #s(literal 1/2 binary64))
✓5.4%
#s(literal 0 binary64)
Compiler

Compiled 263 to 194 computations (26.2% saved)

simplify132.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
✓cost-diff0
(sqrt.f64 p)
✓cost-diff12864
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
✓cost-diff12864
(/.f64 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (neg.f64 x))
✓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 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
✓cost-diff0
(/.f64 p x)
✓cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))
✓cost-diff-6272
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
✓cost-diff0
(/.f64 x p)
✓cost-diff0
(*.f64 (/.f64 x p) #s(literal 1/4 binary64))
Rules
933×fma-define
310×times-frac
236×fmm-def
83×unsub-neg
83×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025209
143191
270191
3151191
4273191
5329191
6392191
7499191
8530191
9593191
10698191
11754191
12958191
131406191
141968191
152625191
162739191
172787191
182818191
192825191
202826191
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 x p) #s(literal 1/4 binary64))
(/.f64 x p)
x
p
#s(literal 1/4 binary64)
(/.f64 p x)
p
x
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
p
(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)
(/.f64 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (neg.f64 x))
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
(sqrt.f64 p)
p
#s(literal 2 binary64)
(neg.f64 x)
x
Outputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
(sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (/.f64 x p) #s(literal 1/4 binary64))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 x p)
x
p
#s(literal 1/4 binary64)
(/.f64 p x)
p
x
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(/.f64 p x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
p
(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)
(/.f64 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (neg.f64 x))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
p
(sqrt.f64 p)
p
#s(literal 2 binary64)
(neg.f64 x)
x

localize92.0ms (0.9%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (neg.f64 x))
✓accuracy100.0%
(sqrt.f64 p)
accuracy100.0%
(neg.f64 x)
✓accuracy99.5%
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
✓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 1 binary64) x)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
✓accuracy100.0%
(/.f64 p x)
✓accuracy100.0%
(/.f64 x p)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))
✓accuracy100.0%
(*.f64 (/.f64 x p) #s(literal 1/4 binary64))
✓accuracy97.4%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
Results
50.0ms198×0valid
10.0ms58×0invalid
Compiler

Compiled 72 to 21 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 15.0ms (49.4% of total)
ival-mult: 5.0ms (16.5% of total)
ival-sqrt: 5.0ms (16.5% of total)
ival-pow: 3.0ms (9.9% of total)
ival-add: 1.0ms (3.3% of total)
ival-neg: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
12 → 136
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 x p) #s(literal 1/4 binary64))>
#<alt (/.f64 x p)>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))>
#<alt (/.f64 p x)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) p)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<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 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (neg.f64 x))>
#<alt (pow.f64 (sqrt.f64 p) #s(literal 2 binary64))>
#<alt (sqrt.f64 p)>
Outputs
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 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)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 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)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 p x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x)))) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 p x))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 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 p x))))))) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 p x))) (*.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 -1/4 binary64) (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 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 5 binary64))))))))))) p)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 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 -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) p)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/2 binary64) p)) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/2 binary64) p)) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/2 binary64) p)) p)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (/.f64 (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt p>
#<alt p>
#<alt p>
#<alt p>
#<alt p>
#<alt p>
#<alt p>
#<alt p>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

51 calls:

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

rewrite155.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
987×log1p-expm1-u
987×expm1-log1p-u
170×log1p-undefine
150×prod-diff
147×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025149
1312141
23691141
Stop Event
1×node limit
Counts
12 → 349
Calls
Call 1
Inputs
(*.f64 (/.f64 x p) #s(literal 1/4 binary64))
(/.f64 x p)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))
(/.f64 p x)
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (neg.f64 x))
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
(sqrt.f64 p)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 #s(literal 1 binary64) (/.f64 p (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(/.f64 (*.f64 x #s(literal 1/4 binary64)) (neg.f64 p))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/4 binary64))) (neg.f64 p))
(/.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) p)
(/.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (sqrt.f64 p)) (sqrt.f64 p))
(/.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x p))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 p)) (/.f64 x p))
(-.f64 (/.f64 #s(literal 0 binary64) p) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1 binary64) p))
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 p)))
(*.f64 (/.f64 x p) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x p))
(*.f64 #s(literal -1 binary64) (/.f64 x p))
(*.f64 (cbrt.f64 (/.f64 x p)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x p)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) p))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) p)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (neg.f64 p)))
(*.f64 (sqrt.f64 (/.f64 x p)) (sqrt.f64 (/.f64 x p)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) p))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) p)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (neg.f64 p)))
(*.f64 (/.f64 #s(literal 1 binary64) p) x)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 p)) (/.f64 x (sqrt.f64 p)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 p)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) p))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 p)) (/.f64 (cbrt.f64 x) (sqrt.f64 p)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x p)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) p))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 p)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 p)) (/.f64 x (sqrt.f64 p)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 p)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 p)) x)
(pow.f64 (/.f64 x p) #s(literal 1 binary64))
(pow.f64 (/.f64 p x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x p)) #s(literal 2 binary64))
(neg.f64 (/.f64 x p))
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x p))))
(cbrt.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x p)))
(log1p.f64 (expm1.f64 (/.f64 x p)))
(exp.f64 (log.f64 (/.f64 x p)))
(exp.f64 (*.f64 (log.f64 (/.f64 x p)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))) (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))))
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(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(neg.f64 (/.f64 p x))
(sqrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 p x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
(exp.f64 (log.f64 (/.f64 p x)))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal 1 binary64))
(*.f64 p #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) p)
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(*.f64 (cbrt.f64 p) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 p) (*.f64 (cbrt.f64 (sqrt.f64 p)) (sqrt.f64 p)))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (cbrt.f64 p))
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (*.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 p)))
(*.f64 (*.f64 (sqrt.f64 p) (pow.f64 p #s(literal 1/4 binary64))) (pow.f64 p #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 p) (cbrt.f64 p)) (cbrt.f64 (sqrt.f64 p)))
(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 (sqrt.f64 p))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 p))
(*.f64 (sqrt.f64 p) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 p)) (cbrt.f64 p))
(*.f64 (cbrt.f64 p) (cbrt.f64 (sqrt.f64 p)))
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 p #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 p))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 p)))
(pow.f64 p #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 p #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 p))
(log.f64 (exp.f64 (sqrt.f64 p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 p))))
(cbrt.f64 (pow.f64 p #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 p)))
(log1p.f64 (expm1.f64 (sqrt.f64 p)))
(exp.f64 (log.f64 (sqrt.f64 p)))
(exp.f64 (*.f64 (log.f64 p) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 p)) #s(literal 1 binary64)))

simplify318.0ms (3%)

Algorithm
1×egg-herbie
Rules
413×cube-prod
394×exp-prod
377×associate-*r*
349×associate-*l*
329×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068211069
1141810489
2567510485
Stop Event
1×node limit
Counts
485 → 396
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 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)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 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)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 p x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x)))) p)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 p x))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 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 p x))))))) p)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 p x))) (*.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 -1/4 binary64) (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 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 5 binary64))))))))))) p)
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 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 -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) p)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/2 binary64) p)) p)
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/2 binary64) p)) p)
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/2 binary64) p)) p)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)
(/.f64 (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)
(/.f64 (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)
(/.f64 (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
p
p
p
p
p
p
p
p
(*.f64 #s(literal -1 binary64) (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 p (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 #s(literal 1 binary64) (/.f64 p (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(/.f64 (*.f64 x #s(literal 1/4 binary64)) (neg.f64 p))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/4 binary64))) (neg.f64 p))
(/.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) p)
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(*.f64 (cbrt.f64 (/.f64 p x)) (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 p x))))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (*.f64 (cbrt.f64 p) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 p (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) p))
(*.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 p x)))
(*.f64 (sqrt.f64 (/.f64 p x)) (neg.f64 (sqrt.f64 (/.f64 p x))))
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 p (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 p) x))
(*.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 p) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 p) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 p) #s(literal -1 binary64)) (/.f64 (sqrt.f64 p) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 p x))) (sqrt.f64 (/.f64 p x)))
(*.f64 (*.f64 p (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 p (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 p)) (sqrt.f64 p))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(neg.f64 (/.f64 p x))
(sqrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 p x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
(exp.f64 (log.f64 (/.f64 p x)))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 p x))) #s(literal 1 binary64))
(/.f64 p x)
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x p) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) p))
(/.f64 #s(literal -1 binary64) (/.f64 x p))
(/.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 x p)))
(/.f64 (neg.f64 p) x)
(/.f64 (neg.f64 (neg.f64 p)) x)
(/.f64 (/.f64 p (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 p #s(literal 1 binary64)) x)
(/.f64 (*.f64 p #s(literal -1 binary64)) x)
(/.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x p)))
(/.f64 (/.f64 (neg.f64 p) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (neg.f64 p) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (neg.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (neg.f64 p) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 p #s(literal -1 binary64)) x)
(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(neg.f64 (/.f64 p x))
(sqrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 p x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
(exp.f64 (log.f64 (/.f64 p x)))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 p x))) #s(literal 1 binary64))
(*.f64 p (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 p x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 p x))
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 p))
(*.f64 (sqrt.f64 p) (/.f64 (sqrt.f64 p) x))
(*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 p) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) p))
(*.f64 (cbrt.f64 (/.f64 p x)) (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 p x))))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (*.f64 (cbrt.f64 p) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 p (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) p))
(*.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 p x)))
(*.f64 (sqrt.f64 (/.f64 p x)) (neg.f64 (sqrt.f64 (/.f64 p x))))
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 p (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 p) x))
(*.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 p) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 p) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 p) #s(literal -1 binary64)) (/.f64 (sqrt.f64 p) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 p x))) (sqrt.f64 (/.f64 p x)))
(*.f64 (*.f64 p (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 p (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 p)) (sqrt.f64 p))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(neg.f64 (/.f64 p x))
(sqrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 p x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
(exp.f64 (log.f64 (/.f64 p x)))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal 1 binary64))
(*.f64 p #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) p)
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(*.f64 (cbrt.f64 p) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 p) (*.f64 (cbrt.f64 (sqrt.f64 p)) (sqrt.f64 p)))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (cbrt.f64 p))
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (*.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 p)))
(*.f64 (*.f64 (sqrt.f64 p) (pow.f64 p #s(literal 1/4 binary64))) (pow.f64 p #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 p) (cbrt.f64 p)) (cbrt.f64 (sqrt.f64 p)))
(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)))
(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 (sqrt.f64 p))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 p))
(*.f64 (sqrt.f64 p) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 p)) (cbrt.f64 p))
(*.f64 (cbrt.f64 p) (cbrt.f64 (sqrt.f64 p)))
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 p #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 p))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 p)))
(pow.f64 p #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 p #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 p))
(log.f64 (exp.f64 (sqrt.f64 p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 p))))
(cbrt.f64 (pow.f64 p #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 p)))
(log1p.f64 (expm1.f64 (sqrt.f64 p)))
(exp.f64 (log.f64 (sqrt.f64 p)))
(exp.f64 (*.f64 (log.f64 p) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 p)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
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(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
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(/.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 p x)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x p)))
(/.f64 p x)
(/.f64 (/.f64 (neg.f64 p) #s(literal 1 binary64)) x)
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(/.f64 (/.f64 (neg.f64 p) #s(literal -1 binary64)) x)
(/.f64 p x)
(/.f64 (/.f64 (neg.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
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(/.f64 (/.f64 (neg.f64 p) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 p (neg.f64 x))
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(/.f64 p (neg.f64 x))
(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(/.f64 p x)
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(/.f64 p x)
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(/.f64 p x)
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 p x)
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(/.f64 p x)
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(/.f64 p (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(/.f64 p x)
(log.f64 (exp.f64 (/.f64 p x)))
(/.f64 p x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(/.f64 p x)
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(/.f64 p x)
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
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(cbrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
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(expm1.f64 (log1p.f64 (/.f64 p x)))
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(/.f64 p x)
(exp.f64 (log.f64 (/.f64 p x)))
(/.f64 p x)
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(/.f64 p x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
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(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 p x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 p x)))
(*.f64 p (/.f64 #s(literal 1 binary64) x))
(/.f64 p x)
(*.f64 (/.f64 p x) #s(literal 1 binary64))
(/.f64 p x)
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(/.f64 p x)
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(/.f64 p x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 p))
(/.f64 p (neg.f64 x))
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(/.f64 p x)
(*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 p) (/.f64 #s(literal 1 binary64) x)))
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(/.f64 p (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) p))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 p (cbrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 p x)) (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)))
(/.f64 p x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 p x)))
(/.f64 p x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 p x))))
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(*.f64 p (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) p))
(/.f64 p x)
(*.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 p x)))
(/.f64 p x)
(*.f64 (sqrt.f64 (/.f64 p x)) (neg.f64 (sqrt.f64 (/.f64 p x))))
(/.f64 p (neg.f64 x))
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(/.f64 p (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 p (cbrt.f64 x)))
(/.f64 p x)
(*.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 p) x))
(/.f64 p x)
(*.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 p) (cbrt.f64 x)))
(/.f64 p x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 p) x))
(/.f64 p x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (cbrt.f64 (/.f64 p x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 p) (sqrt.f64 x)))
(/.f64 p x)
(*.f64 (/.f64 (sqrt.f64 p) #s(literal -1 binary64)) (/.f64 (sqrt.f64 p) x))
(/.f64 p (neg.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 p) x))
(/.f64 p (neg.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(/.f64 p (neg.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 p x))) (sqrt.f64 (/.f64 p x)))
(/.f64 p (neg.f64 x))
(*.f64 (*.f64 p (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 p (cbrt.f64 x)))
(*.f64 (*.f64 p (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 p x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 p)) (sqrt.f64 p))
(/.f64 p x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(/.f64 p x)
(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(/.f64 p x)
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(/.f64 p x)
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(/.f64 p x)
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 p x)
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(/.f64 p x)
(neg.f64 (/.f64 p x))
(/.f64 p (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(/.f64 p x)
(log.f64 (exp.f64 (/.f64 p x)))
(/.f64 p x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(/.f64 p x)
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(/.f64 p x)
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 p x)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(/.f64 p x)
(cbrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 p x)
(expm1.f64 (log1p.f64 (/.f64 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
(/.f64 p x)
(exp.f64 (log.f64 (/.f64 p x)))
(/.f64 p x)
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(/.f64 p x)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 p))
(*.f64 p #s(literal 1 binary64))
p
(*.f64 #s(literal 1 binary64) p)
p
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
p
(*.f64 (cbrt.f64 p) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)))
p
(*.f64 (cbrt.f64 p) (*.f64 (cbrt.f64 (sqrt.f64 p)) (sqrt.f64 p)))
(*.f64 (cbrt.f64 p) (*.f64 (sqrt.f64 p) (cbrt.f64 (sqrt.f64 p))))
(*.f64 (cbrt.f64 p) (pow.f64 (cbrt.f64 (sqrt.f64 p)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (cbrt.f64 p))
p
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (*.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 p)))
p
(*.f64 (*.f64 (sqrt.f64 p) (pow.f64 p #s(literal 1/4 binary64))) (pow.f64 p #s(literal 1/4 binary64)))
p
(*.f64 (*.f64 (sqrt.f64 p) (cbrt.f64 p)) (cbrt.f64 (sqrt.f64 p)))
(*.f64 (cbrt.f64 p) (*.f64 (sqrt.f64 p) (cbrt.f64 (sqrt.f64 p))))
(*.f64 (cbrt.f64 p) (pow.f64 (cbrt.f64 (sqrt.f64 p)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 p #s(literal 2 binary64)))
p
(log.f64 (exp.f64 p))
p
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 p)))
p
(cbrt.f64 (pow.f64 p #s(literal 3 binary64)))
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
p
(exp.f64 (log.f64 p))
p
(exp.f64 (*.f64 (log.f64 p) #s(literal 1 binary64)))
p
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 p))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 p)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 p))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(*.f64 (sqrt.f64 p) #s(literal 1 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(*.f64 (cbrt.f64 (sqrt.f64 p)) (cbrt.f64 p))
(*.f64 (cbrt.f64 p) (cbrt.f64 (sqrt.f64 p)))
(*.f64 (cbrt.f64 p) (cbrt.f64 (sqrt.f64 p)))
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 p #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 p))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 p)))
(*.f64 (fabs.f64 (cbrt.f64 p)) (sqrt.f64 (cbrt.f64 p)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 p)))
(*.f64 (fabs.f64 (cbrt.f64 p)) (sqrt.f64 (cbrt.f64 p)))
(pow.f64 p #s(literal 1/2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(pow.f64 (sqrt.f64 p) #s(literal 1 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(pow.f64 (cbrt.f64 (sqrt.f64 p)) #s(literal 3 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 p #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 p #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(fabs.f64 (sqrt.f64 p))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(log.f64 (exp.f64 (sqrt.f64 p)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 p))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(cbrt.f64 (pow.f64 p #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 p)))
(log1p.f64 (expm1.f64 (sqrt.f64 p)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(exp.f64 (log.f64 (sqrt.f64 p)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(exp.f64 (*.f64 (log.f64 p) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 p)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 p)))
(sqrt.f64 p)

eval52.0ms (0.5%)

Compiler

Compiled 5793 to 1410 computations (75.7% saved)

prune169.0ms (1.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New4283431
Fresh246
Picked325
Done044
Total43313446
Accuracy
100.0%
Counts
446 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓24.9%
(/.f64 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (neg.f64 x))
✓23.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
15.2%
(/.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 p)))) (neg.f64 x))
25.0%
(/.f64 (neg.f64 p) x)
23.2%
(/.f64 (exp.f64 (log.f64 p)) (neg.f64 x))
25.0%
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
8.0%
(sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
✓58.2%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
12.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))
✓80.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
✓61.4%
(sqrt.f64 #s(literal 1/2 binary64))
32.6%
#s(literal 1 binary64)
✓5.4%
#s(literal 0 binary64)
Compiler

Compiled 427 to 226 computations (47.1% saved)

regimes170.0ms (1.6%)

Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) #s(literal -1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #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))))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 p)) (neg.f64 x))
(/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (neg.f64 x))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(*.f64 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(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 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) 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 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 p)))) (neg.f64 x))
(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 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x))))
(sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
Outputs
(/.f64 p (neg.f64 x))
(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:

55.0ms
(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)))))))
44.0ms
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
23.0ms
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
22.0ms
p
9.0ms
x
Results
AccuracySegmentsBranch
80.7%1p
80.7%1x
99.8%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)))))))
99.8%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))))))
99.8%2(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
99.8%2(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
80.7%1(*.f64 (*.f64 #s(literal 4 binary64) p) p)
Compiler

Compiled 80 to 56 computations (30% saved)

regimes18.0ms (0.2%)

Counts
20 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) #s(literal -1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #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))))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 p)) (neg.f64 x))
(/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (neg.f64 x))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(*.f64 (neg.f64 p) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
Outputs
(/.f64 p (neg.f64 x))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
Calls

2 calls:

6.0ms
x
6.0ms
p
Results
AccuracySegmentsBranch
75.3%3p
65.8%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 p (neg.f64 x))
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
p
3.0ms
x
Results
AccuracySegmentsBranch
49.9%2x
34.3%2p
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
p
2.0ms
x
Results
AccuracySegmentsBranch
32.6%1p
32.6%1x
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
5.4%1p
5.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999896876
-0.006339491058414655
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch102.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.3962363674858126e-67
5.312859605329974e-67
79.0ms
2.804479229266384e-144
1.3026091861086618e-139
Results
69.0ms57×2valid
16.0ms115×0valid
6.0ms36×1valid
Compiler

Compiled 155 to 136 computations (12.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 68.0ms (82.9% of total)
ival-sqrt: 5.0ms (6.1% of total)
ival-div: 3.0ms (3.7% of total)
ival-add: 3.0ms (3.7% of total)
adjust: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch73.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
70.0ms
-3.702087185133814e-134
-2.5830004156184878e-142
Results
57.0ms100×0valid
5.0ms30×1valid
4.0ms14×2valid
Compiler

Compiled 121 to 100 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (42.1% of total)
ival-sqrt: 3.0ms (25.2% of total)
ival-add: 2.0ms (16.8% of total)
adjust: 1.0ms (8.4% of total)
ival-div: 1.0ms (8.4% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×*-commutative
5×+-commutative
3×sub-neg
3×1-exp
3×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043198
158198
264198
369198
472198
573198
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 -1/2 binary64)) (/.f64 p (neg.f64 x)) (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 6678075163775057/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 1821252086461621/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -1081205631470571/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
#s(literal 1 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 -1/2 binary64)) (/.f64 p (neg.f64 x)) (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 -1/2 binary64)) (/.f64 p (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 6678075163775057/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 1821252086461621/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -1081205631470571/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)

soundness1.2s (11.6%)

Rules
987×log1p-expm1-u
987×expm1-log1p-u
978×prod-diff
839×fma-define
802×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0152739036
1387638010
041607
1577557
27756557
020224
1269161
23572157
080015286
1200614689
2694914653
063212691
1123512625
2335111897
3773011896
025149
1312141
23691141
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 488 to 216 computations (55.7% saved)

preprocess67.0ms (0.6%)

Compiler

Compiled 254 to 166 computations (34.6% saved)

end0.0ms (0%)

Profiling

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