Given's Rotation SVD example

Time bar (total: 10.1s)

analyze885.0ms (8.8%)

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

Compiled 28 to 20 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 464.0ms
ival-mult: 112.0ms (24.1% of total)
...c/correct-round.rkt:121:19: 105.0ms (22.6% of total)
ival-add: 89.0ms (19.2% of total)
ival-sqrt: 51.0ms (11% of total)
ival-<: 48.0ms (10.3% of total)
ival-fabs: 27.0ms (5.8% of total)
ival-div: 22.0ms (4.7% of total)
ival-and: 5.0ms (1.1% of total)
const: 4.0ms (0.9% of total)
backward-pass: 1.0ms (0.2% of total)

sample3.0s (30.1%)

Results
1.7s6172×0valid
545.0ms1219×2valid
184.0ms645×1valid
110.0ms220×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
...c/correct-round.rkt:121:19: 513.0ms (26.4% of total)
ival-mult: 369.0ms (19% of total)
ival-div: 326.0ms (16.7% of total)
ival-sqrt: 272.0ms (14% of total)
ival-add: 195.0ms (10% of total)
backward-pass: 77.0ms (4% of total)
ival-<: 64.0ms (3.3% of total)
const: 61.0ms (3.1% of total)
ival-fabs: 54.0ms (2.8% of total)
ival-and: 15.0ms (0.8% of total)
Bogosity

preprocess190.0ms (1.9%)

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)

explain364.0ms (3.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
690-0-(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
320-0-(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
290-1(1.8294882901256605e-268 -4.964007736198429e-108)(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-rescue690
↳(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))overflow69
↳(*.f64 (*.f64 #s(literal 4 binary64) p) p)overflow69
+.f64(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))cancellation320
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-rescue280
↳(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)))))))underflow9
↳(*.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))))))underflow37
↳(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))underflow37
↳(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))underflow12
↳(*.f64 (*.f64 #s(literal 4 binary64) p) p)underflow64
Confusion
Predicted +Predicted -
+600
-69127
Precision
0.46511627906976744
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6000
-690127
Precision?
0.46511627906976744
Recall?
1.0
Freqs
test
numberfreq
0127
1129
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
69.0ms376×0valid
53.0ms84×2valid
16.0ms18×3valid
12.0ms34×1valid
Compiler

Compiled 232 to 58 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 19.0ms (34% of total)
ival-sqrt: 12.0ms (21.5% of total)
backward-pass: 9.0ms (16.1% of total)
ival-add: 8.0ms (14.3% of total)
ival-div: 6.0ms (10.7% of total)
const: 2.0ms (3.6% of total)

eval1.0ms (0%)

Compiler

Compiled 49 to 22 computations (55.1% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.5%
(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)

simplify11.0ms (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)

localize92.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
✓accuracy89.9%
(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)))))))
✓accuracy88.9%
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓accuracy74.9%
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
Results
39.0ms188×0valid
22.0ms42×2valid
7.0ms9×3valid
6.0ms17×1valid
Compiler

Compiled 97 to 15 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 10.0ms (34.9% of total)
ival-sqrt: 6.0ms (21% of total)
backward-pass: 5.0ms (17.5% of total)
ival-add: 4.0ms (14% of total)
ival-div: 3.0ms (10.5% of total)
const: 1.0ms (3.5% of total)

series28.0ms (0.3%)

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

33 calls:

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

rewrite278.0ms (2.8%)

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

simplify269.0ms (2.7%)

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

Useful iterations: 2 (0.0ms)

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

eval144.0ms (1.4%)

Compiler

Compiled 11687 to 2804 computations (76% saved)

prune73.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New43112443
Fresh000
Picked101
Done000
Total43212444
Accuracy
99.8%
Counts
444 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.8%
(/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 x))
▶28.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
77.7%
(-.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))
73.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) (/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))))
15.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
17.5%
(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)))))
51.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
▶78.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
▶7.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
34.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶55.5%
(sqrt.f64 #s(literal 1/2 binary64))
▶78.4%
(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)))))
Compiler

Compiled 368 to 266 computations (27.7% saved)

simplify74.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(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)))
✓cost-diff0
(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))))
✓cost-diff12800
(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)))))
✓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-diff192
(/.f64 x (neg.f64 x))
✓cost-diff320
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
✓cost-diff448
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
✓cost-diff448
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal 2 binary64) p)
✓cost-diff0
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
✓cost-diff0
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
Rules
509×fma-define
104×distribute-lft-in
94×fmm-def
87×associate-*l*
84×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034656
175536
2167536
3327536
4515536
5653536
6835536
71094536
81232536
91727536
101735536
111735536
121746536
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
#s(literal 1 binary64)
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
x
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(*.f64 #s(literal 2 binary64) p)
#s(literal 2 binary64)
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
#s(literal 1 binary64)
(/.f64 x (neg.f64 x))
x
(neg.f64 x)
(/.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
(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)))))
(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))))
(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)))
(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
x
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(*.f64 #s(literal 2 binary64) p)
#s(literal 2 binary64)
p
#s(literal 1/2 binary64)
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 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(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)))
(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 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
#s(literal 1 binary64)
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
x
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(*.f64 #s(literal 2 binary64) p)
#s(literal 2 binary64)
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (neg.f64 x)) #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (neg.f64 x)) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (neg.f64 x)) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 x (neg.f64 x))
#s(literal -1 binary64)
x
(neg.f64 x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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 p (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 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
(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)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(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)))
(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)))
(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))))
(exp.f64 (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))))
(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)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
x
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(*.f64 #s(literal 2 binary64) p)
#s(literal 2 binary64)
p
#s(literal 1/2 binary64)

localize242.0ms (2.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
✓accuracy89.9%
(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)))
✓accuracy88.9%
(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓accuracy78.8%
(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)))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(neg.f64 x)
✓accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy99.2%
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 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))
✓accuracy89.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
✓accuracy88.9%
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
Results
85.0ms188×0valid
65.0ms42×2valid
20.0ms9×3valid
17.0ms17×1valid
Compiler

Compiled 267 to 33 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-sqrt: 21.0ms (23.1% of total)
ival-mult: 17.0ms (18.7% of total)
ival-add: 13.0ms (14.3% of total)
ival-div: 12.0ms (13.2% of total)
ival-log: 11.0ms (12.1% of total)
backward-pass: 10.0ms (11% of total)
ival-exp: 5.0ms (5.5% of total)
ival-neg: 2.0ms (2.2% of total)
const: 1.0ms (1.1% of total)

series64.0ms (0.6%)

Counts
21 → 336
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))>
#<alt (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))>
#<alt (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)>
#<alt (*.f64 #s(literal 2 binary64) p)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))>
#<alt (/.f64 x (neg.f64 x))>
#<alt (/.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 (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)))))>
#<alt (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))))>
#<alt (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)))>
#<alt (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 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 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (*.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)>
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#<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 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (*.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) p)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) p))>
Calls

90 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 2 p) (* 2 p)) (* x x)))))))
5.0ms
x
@inf
(/ (* (sqrt 2) (* p (sqrt 1/2))) (neg x))
3.0ms
x
@inf
(exp (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1/2) 1/2)))
2.0ms
x
@-inf
(log (exp (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1/2) 1/2))))
2.0ms
x
@inf
(log (exp (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1/2) 1/2))))

rewrite66.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
234×log1p-expm1-u
234×expm1-log1p-u
232×add-log-exp
232×add-cube-cbrt
231×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034521
1536521
Stop Event
1×node limit
Counts
21 → 487
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(*.f64 #s(literal 2 binary64) p)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
(/.f64 x (neg.f64 x))
(/.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)))
(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)))))
(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))))
(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)))
(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (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 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
Outputs
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 p))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (exp.f64 p))
(*.f64 (exp.f64 p) #s(literal -2 binary64))
(*.f64 (exp.f64 p) (exp.f64 p))
(/.f64 #s(literal -2 binary64) (exp.f64 p))
(pow.f64 #s(literal -2 binary64) p)
(pow.f64 (exp.f64 p) #s(literal -2 binary64))
(pow.f64 (exp.f64 p) p)
(pow.f64 (exp.f64 p) #s(literal 1/3 binary64))
(sqrt.f64 (exp.f64 p))
(fabs.f64 (exp.f64 p))
(log.f64 (exp.f64 (exp.f64 p)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (exp.f64 p))))
(cbrt.f64 (exp.f64 p))
(expm1.f64 (log1p.f64 (exp.f64 p)))
(log1p.f64 (expm1.f64 (exp.f64 p)))
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)

simplify253.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
740×fma-define
458×associate-*r*
368×associate-*l*
303×*-commutative
303×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079924776
1248323650
Stop Event
1×node limit
Counts
823 → 424
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(sqrt.f64 #s(literal 1/2 binary64))
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(exp.f64 (sqrt.f64 #s(literal 1/2 binary64)))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x))) x)))
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(exp.f64 #s(literal 1 binary64))
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(exp.f64 (sqrt.f64 #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 binary64)
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(-.f64 p p)
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(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
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(-.f64 #s(literal -2 binary64) p)
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(+.f64 #s(literal -2 binary64) p)
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#s(literal -2 binary64)
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#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 p))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (exp.f64 p))
(*.f64 (exp.f64 p) #s(literal -2 binary64))
(*.f64 (exp.f64 p) (exp.f64 p))
(/.f64 #s(literal -2 binary64) (exp.f64 p))
(pow.f64 #s(literal -2 binary64) p)
(pow.f64 (exp.f64 p) #s(literal -2 binary64))
(pow.f64 (exp.f64 p) p)
(pow.f64 (exp.f64 p) #s(literal 1/3 binary64))
(sqrt.f64 (exp.f64 p))
(fabs.f64 (exp.f64 p))
(log.f64 (exp.f64 (exp.f64 p)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (exp.f64 p))))
(cbrt.f64 (exp.f64 p))
(expm1.f64 (log1p.f64 (exp.f64 p)))
(log1p.f64 (expm1.f64 (exp.f64 p)))
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(/.f64 #s(literal -2 binary64) p)
(/.f64 p #s(literal -2 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) p)
(+.f64 p #s(literal -2 binary64))
(+.f64 p p)
(+.f64 p (fma.f64 p #s(literal -2 binary64) p))
(-.f64 #s(literal -2 binary64) p)
(-.f64 p #s(literal -2 binary64))
(-.f64 p p)
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)
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 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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(E.f64)
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#s(literal 1 binary64)
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#s(literal 0 binary64)
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#s(literal 1 binary64)
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p
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p
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p
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p
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(*.f64 p #s(literal -2 binary64))
(*.f64 p p)
(pow.f64 p #s(literal 2 binary64))
(pow.f64 p #s(literal -2 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(cbrt.f64 p)
(neg.f64 p)
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
p
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log.f64 p))
(-.f64 p #s(literal 1 binary64))
(+.f64 p #s(literal -1 binary64))
(hypot.f64 #s(literal -2 binary64) p)
(hypot.f64 p #s(literal -2 binary64))
(log1p.f64 (expm1.f64 p))
p
(exp.f64 (log.f64 p))
p
(exp.f64 (*.f64 (log.f64 p) #s(literal -2 binary64)))
(pow.f64 p #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) p)
(+.f64 #s(literal 4 binary64) p)
(fma.f64 #s(literal -2 binary64) p #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 p p #s(literal -2 binary64))
(fma.f64 p p p)

eval66.0ms (0.7%)

Compiler

Compiled 13305 to 2446 computations (81.6% saved)

prune63.0ms (0.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New4266432
Fresh527
Picked325
Done000
Total43410444
Accuracy
100.0%
Counts
444 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶22.8%
(/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 x))
28.8%
(/.f64 (neg.f64 p) x)
▶51.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
✓78.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
✓55.5%
(sqrt.f64 #s(literal 1/2 binary64))
23.2%
(neg.f64 (/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x))
▶34.1%
(log.f64 (E.f64))
▶15.3%
#s(literal 3/2 binary64)
13.5%
#s(literal 1/8 binary64)
▶7.4%
#s(literal 0 binary64)
Compiler

Compiled 182 to 139 computations (23.6% saved)

simplify62.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
✓cost-diff128
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
✓cost-diff6656
(fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
✓cost-diff6656
(/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 x))
✓cost-diff0
(E.f64)
✓cost-diff6400
(log.f64 (E.f64))
✓cost-diff-6144
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p)))
✓cost-diff-6144
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/2 binary64)) p)
Rules
687×distribute-neg-frac
680×distribute-neg-frac2
483×cancel-sign-sub-inv
446×fmm-def
445×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038633
177597
2175573
3630565
42266565
55114565
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))
#s(literal 1 binary64)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) p)
(*.f64 x #s(literal 1/2 binary64))
x
p
#s(literal 0 binary64)
#s(literal 3/2 binary64)
(log.f64 (E.f64))
(E.f64)
(/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 x))
(fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
p
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
(/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -12 binary64)
#s(literal 1/4 binary64)
(neg.f64 x)
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) p)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 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 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) p)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) p)
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) p)
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
p
#s(literal 0 binary64)
#s(literal 3/2 binary64)
(log.f64 (E.f64))
#s(literal 1 binary64)
(E.f64)
(/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 x))
(/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))))) (neg.f64 x))
(/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))
(fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
(fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))
p
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) p)))
(*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) p))
(*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))) p) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
(/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -12 binary64)
#s(literal 1/4 binary64)
(neg.f64 x)

localize222.0ms (2.2%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy98.9%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy97.8%
(/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 x))
✓accuracy78.4%
(/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(log.f64 (E.f64))
✓accuracy73.9%
(E.f64)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p)))
✓accuracy96.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
Results
148.0ms187×0valid
35.0ms69×0invalid
Compiler

Compiled 194 to 33 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 17.0ms (31.6% of total)
ival-mult: 13.0ms (24.2% of total)
ival-div: 8.0ms (14.9% of total)
ival-sqrt: 5.0ms (9.3% of total)
ival-add: 3.0ms (5.6% of total)
ival-e: 3.0ms (5.6% of total)
ival-log: 3.0ms (5.6% of total)
const: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series50.0ms (0.5%)

Counts
14 → 252
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x #s(literal 1/2 binary64)) p)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p)))>
#<alt (log.f64 (E.f64))>
#<alt (E.f64)>
#<alt (/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 x))>
#<alt (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))>
#<alt (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))>
#<alt (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x))) (*.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) p)>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))))))) p)>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))))))) p)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) p)) (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt #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 #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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 p (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 p (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) x))) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) x))) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) x))) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
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#<alt (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #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 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal 1/2 binary64) x)) p)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal 1/2 binary64) x)) p)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal 1/2 binary64) 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 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 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 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
Calls

63 calls:

TimeVariablePointExpression
6.0ms
p
@0
(/ (+ (* p (* (sqrt 1/2) (sqrt 2))) (* (sqrt 1/2) (* (* (/ (pow p 4) (* p (pow x 2))) (/ -12 (sqrt 2))) 1/4))) (neg x))
4.0ms
p
@0
(sqrt (* 1/2 (+ 1 (/ (* x 1/2) p))))
3.0ms
x
@0
(/ (+ (* p (* (sqrt 1/2) (sqrt 2))) (* (sqrt 1/2) (* (* (/ (pow p 4) (* p (pow x 2))) (/ -12 (sqrt 2))) 1/4))) (neg x))
3.0ms
x
@0
(* (* (/ (pow p 4) (* p (pow x 2))) (/ -12 (sqrt 2))) 1/4)
2.0ms
x
@-inf
(sqrt (* 1/2 (+ 1 (/ (* x 1/2) p))))

rewrite237.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
651×log1p-expm1-u
224×expm1-log1p-u
221×add-cube-cbrt
219×add-log-exp
218×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036498
1544394
27269394
Stop Event
1×node limit
Counts
14 → 369
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 1/2 binary64)) p)
(*.f64 x #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p)))
(log.f64 (E.f64))
(E.f64)
(/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 x))
(fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))
(/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) p)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) p))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 p)))
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) p)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/2 binary64) p)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) p))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) p)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) p))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) p)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) p)))
(*.f64 (/.f64 #s(literal 1 binary64) p) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) p) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 p)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 p)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 p)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 p)))
(*.f64 (/.f64 x (sqrt.f64 p)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 p)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 p)) (/.f64 x (sqrt.f64 p)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 p)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) p))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 p)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 p)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) p))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 p)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) p))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))) #s(literal 2 binary64))
(pow.f64 (/.f64 p (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x)))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))))
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(/.f64 (*.f64 #s(literal -12 binary64) (neg.f64 (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 12 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 12 binary64) (neg.f64 (pow.f64 p #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 12 binary64) (pow.f64 p #s(literal 3 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64)))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 12 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 72 binary64)) (neg.f64 (pow.f64 p #s(literal 4 binary64)))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 72 binary64)) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 72 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 72 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64))) p) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64))) #s(literal 1 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64))) (pow.f64 x #s(literal 2 binary64))) p)
(/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))) (cbrt.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64))) (*.f64 x (sqrt.f64 p))) (*.f64 x (sqrt.f64 p)))
(pow.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 p (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 72 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 p #s(literal 3 binary64))) x) (sqrt.f64 (sqrt.f64 #s(literal 72 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 72 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 72 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -864 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal -864 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64)))) #s(literal 1 binary64)))

simplify245.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
767×associate-*r*
691×associate-*l*
563×times-frac
361×associate-*r/
322×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099927594
1247226175
Stop Event
1×node limit
Counts
621 → 633
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))))
(*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x))) (*.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) p)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))))))) p)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))))))) p)
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) p)) (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))
#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)))
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(/.f64 (*.f64 #s(literal 12 binary64) (neg.f64 (pow.f64 p #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 12 binary64) (pow.f64 p #s(literal 3 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64)))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 12 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 72 binary64)) (neg.f64 (pow.f64 p #s(literal 4 binary64)))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 72 binary64)) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 72 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 72 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64))) p) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64))) #s(literal 1 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64))) (pow.f64 x #s(literal 2 binary64))) p)
(/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))) (cbrt.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 72 binary64))) (*.f64 x (sqrt.f64 p))) (*.f64 x (sqrt.f64 p)))
(pow.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 p (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 72 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 p #s(literal 3 binary64))) x) (sqrt.f64 (sqrt.f64 #s(literal 72 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 72 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 72 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -864 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal -864 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/32 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (*.f64 (*.f64 #s(literal -1/32 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 3 binary64))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/128 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/4 binary64))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 x p)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(neg.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))
(fma.f64 x (/.f64 #s(literal 1/4 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 (/.f64 x p) #s(literal 1/4 binary64)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
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(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))
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(*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 72 binary64)) (pow.f64 x #s(literal 2 binary64))))
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(*.f64 (/.f64 (sqrt.f64 #s(literal 72 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 72 binary64)) (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 72 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 72 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
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eval90.0ms (0.9%)

Compiler

Compiled 14954 to 2905 computations (80.6% saved)

prune334.0ms (3.3%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New6303633
Fresh033
Picked235
Done022
Total63211643
Accuracy
100.0%
Counts
643 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.2%
(/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.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))))) (neg.f64 x))
▶28.8%
(/.f64 (neg.f64 p) x)
▶51.6%
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))))
▶51.8%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
✓78.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
✓55.5%
(sqrt.f64 #s(literal 1/2 binary64))
▶23.2%
(neg.f64 (/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x))
✓34.1%
(log.f64 (E.f64))
✓15.3%
#s(literal 3/2 binary64)
▶13.5%
#s(literal 1/8 binary64)
✓7.4%
#s(literal 0 binary64)
Compiler

Compiled 222 to 147 computations (33.8% saved)

simplify86.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 p #s(literal 4 binary64))
✓cost-diff0
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
✓cost-diff0
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
✓cost-diff128
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
✓cost-diff-5952
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) p)
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))
✓cost-diff0
(neg.f64 p)
✓cost-diff0
(/.f64 (neg.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
774×distribute-lft-neg-in
720×distribute-rgt-neg-in
550×fmm-def
516×fma-define
493×cancel-sign-sub-inv
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037864
192754
2291715
31262706
44072694
57389694
Stop Event
1×node limit
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)
#s(literal 1/8 binary64)
(/.f64 (neg.f64 p) x)
(neg.f64 p)
p
x
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) p)
p
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))
(neg.f64 (/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x))
(/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x)
(+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
p
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/8 binary64)
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -12 binary64)
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
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 (*.f64 x #s(literal 1/4 binary64)) p)
(/.f64 x p)
x
p
#s(literal 1/4 binary64)
#s(literal 1/8 binary64)
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(neg.f64 p)
p
x
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/4 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))))
(sqrt.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) p) p) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 #s(literal -1/4 binary64) p) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 p p)))) (fma.f64 x (/.f64 #s(literal -1/4 binary64) p) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 p p)) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 #s(literal -1/4 binary64) p) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/4 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) p) p) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 #s(literal -1/4 binary64) p) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 p p)))) (fma.f64 x (/.f64 #s(literal -1/4 binary64) p) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 p p)) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 #s(literal -1/4 binary64) p) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/4 binary64) p))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) p) p) #s(literal 1/4 binary64))
(-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 p p))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 p p)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/4 binary64) p)))
(*.f64 (*.f64 (/.f64 x p) (/.f64 x p)) #s(literal 1/16 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 p p)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))
(*.f64 (/.f64 x p) #s(literal 1/4 binary64))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) p)
p
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) p)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))
(fma.f64 x (/.f64 #s(literal -1/4 binary64) p) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x))
(/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))) (neg.f64 x))
(/.f64 (+.f64 p (/.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))) (neg.f64 x))
(/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) p) (neg.f64 x))
(/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 2 binary64))) p) p) (neg.f64 x))
(/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))) x)
(/.f64 (+.f64 p (/.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 2 binary64))) p) p) x)
(+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(+.f64 p (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 p (/.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) p)
(fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 2 binary64))) p) p)
p
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 2 binary64))) p))
#s(literal 1/8 binary64)
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) p)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -12 binary64) p) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) p))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -12 binary64)
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

localize160.0ms (1.6%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
✓accuracy99.8%
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
✓accuracy97.8%
(/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x)
✓accuracy76.1%
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))
✓accuracy99.7%
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))
✓accuracy96.6%
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))))
✓accuracy91.3%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))))
✓accuracy100.0%
(/.f64 (neg.f64 p) x)
✓accuracy100.0%
(neg.f64 p)
✓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))
✓accuracy96.6%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
Results
88.0ms187×0valid
28.0ms69×0invalid
Compiler

Compiled 248 to 32 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 14.0ms (27.8% of total)
ival-mult: 14.0ms (27.8% of total)
ival-pow: 10.0ms (19.8% of total)
ival-sqrt: 4.0ms (7.9% of total)
ival-add: 3.0ms (6% of total)
ival-sub: 2.0ms (4% of total)
ival-neg: 2.0ms (4% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series41.0ms (0.4%)

Counts
17 → 288
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 (neg.f64 p) x)>
#<alt (neg.f64 p)>
#<alt (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))>
#<alt (/.f64 #s(literal 1/2 binary64) p)>
#<alt (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))>
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))>
#<alt (pow.f64 p #s(literal 4 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))))>
#<alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))))>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (*.f64 p (pow.f64 x #s(literal 2 binary64)))>
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 #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 (*.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 (*.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) 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) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) 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 (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))>
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#<alt (*.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 p x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 p x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
Calls

90 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (+ p (* 1/8 (/ (* (pow p 4) -12) (* p (pow x 2))))) x)
3.0ms
x
@0
(* (* (* x 1/2) (/ 1/2 p)) (* (* x 1/2) (/ 1/2 p)))
1.0ms
x
@-inf
(sqrt (+ 1/2 (* (/ x p) 1/4)))
1.0ms
x
@inf
(/ (- 1/4 (* (* (* x 1/2) (/ 1/2 p)) (* (* x 1/2) (/ 1/2 p)))) (- 1/2 (* (* x 1/2) (/ 1/2 p))))
1.0ms
x
@inf
(sqrt (+ 1/2 (* (/ x p) 1/4)))

rewrite154.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
275×log1p-expm1-u
275×expm1-log1p-u
273×associate-*r*
268×add-cube-cbrt
267×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036522
1603391
Stop Event
1×node limit
Counts
17 → 436
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 (neg.f64 p) x)
(neg.f64 p)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))
(/.f64 #s(literal 1/2 binary64) p)
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
(pow.f64 p #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))))
(/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #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 (neg.f64 (*.f64 x #s(literal 1/4 binary64))) p)
(pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x p)) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x p))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) p))
(*.f64 #s(literal 1 binary64) (/.f64 x p))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x p)))
(*.f64 (sqrt.f64 (/.f64 x p)) (sqrt.f64 (/.f64 x p)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) p))
(*.f64 #s(literal -1 binary64) (/.f64 x 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) (sqrt.f64 p)) (/.f64 x (sqrt.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)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 (/.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 (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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 x) p))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) p))
(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 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 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 p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x p))))))
(pow.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 p x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x p))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x p)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x p)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x p))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x p)))))
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(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) p))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))) (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))) #s(literal 1/2 binary64))))))
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(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)) (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 p)) #s(literal 2 binary64))
(neg.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 p) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 p) (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify360.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
709×times-frac
577×associate-*r*
556×associate-*l*
276×associate-*r/
255×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107723801
1239222685
Stop Event
1×node limit
Counts
724 → 669
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))
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(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)) (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) p) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 p)) #s(literal 2 binary64))
(neg.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 p) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 p) (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(/.f64 (*.f64 #s(literal 1/4 binary64) 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))))))
(fma.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 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 (fma.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 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 x (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.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 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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.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 (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 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/1024 binary64) (/.f64 (/.f64 x (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 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (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 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) x))
(*.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 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 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 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 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)))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
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eval119.0ms (1.2%)

Compiler

Compiled 17263 to 3434 computations (80.1% saved)

prune178.0ms (1.8%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New8203823
Fresh101
Picked145
Done055
Total82212834
Accuracy
100.0%
Counts
834 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓28.8%
(/.f64 (neg.f64 p) x)
28.7%
(*.f64 p (/.f64 #s(literal 1 binary64) (neg.f64 x)))
✓51.6%
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))))
✓51.8%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
✓78.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
✓55.5%
(sqrt.f64 #s(literal 1/2 binary64))
28.6%
(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
9.9%
(neg.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 p #s(literal 2 binary64)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))))))
✓34.1%
(log.f64 (E.f64))
✓15.3%
#s(literal 3/2 binary64)
✓13.5%
#s(literal 1/8 binary64)
✓7.4%
#s(literal 0 binary64)
Compiler

Compiled 423 to 211 computations (50.1% saved)

regimes53.0ms (0.5%)

Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 (neg.f64 p) x)
(*.f64 p (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(log.f64 (E.f64))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))))
(/.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)))))
(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)))))))
(neg.f64 (/.f64 (+.f64 p (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) 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)))))
(neg.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 p #s(literal 2 binary64)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 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)))))
(-.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))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) (/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.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))))) (neg.f64 x))
(/.f64 (fma.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 x))
Outputs
(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
Calls

7 calls:

9.0ms
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
8.0ms
p
8.0ms
x
7.0ms
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
6.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
Results
AccuracySegmentsBranch
78.5%1p
83.6%2x
100.0%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)))))))
100.0%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))))))
100.0%2(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
100.0%2(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
78.5%1(*.f64 (*.f64 #s(literal 4 binary64) p) p)
Compiler

Compiled 80 to 56 computations (30% saved)

regimes12.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 (neg.f64 p) x)
(*.f64 p (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(log.f64 (E.f64))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) p)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
Outputs
(/.f64 (neg.f64 p) x)
(log.f64 (E.f64))
(sqrt.f64 #s(literal 1/2 binary64))
Calls

2 calls:

5.0ms
x
5.0ms
p
Results
AccuracySegmentsBranch
73.2%3p
69.3%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 (neg.f64 p) x)
(*.f64 p (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(log.f64 (E.f64))
Outputs
(/.f64 (neg.f64 p) x)
(log.f64 (E.f64))
Calls

2 calls:

3.0ms
p
3.0ms
x
Results
AccuracySegmentsBranch
56.7%2x
38.8%2p
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 (neg.f64 p) x)
(*.f64 p (/.f64 #s(literal 1 binary64) (neg.f64 x)))
Outputs
(/.f64 (neg.f64 p) x)
#s(literal 3/2 binary64)
Calls

2 calls:

2.0ms
x
2.0ms
p
Results
AccuracySegmentsBranch
34.9%2p
38.2%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 3/2 binary64)
Outputs
#s(literal 0 binary64)
#s(literal 3/2 binary64)
Calls

2 calls:

2.0ms
x
2.0ms
p
Results
AccuracySegmentsBranch
17.7%2p
18.1%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/8 binary64)
Outputs
#s(literal 0 binary64)
#s(literal 1/8 binary64)
Calls

2 calls:

4.0ms
p
2.0ms
x
Results
AccuracySegmentsBranch
16.3%2p
16.4%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
p
1.0ms
x
Results
AccuracySegmentsBranch
7.4%1p
7.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999695230956
-2.9925296329592268e-6
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch64.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1.0968541455457842e-39
3.215478547192587e-34
32.0ms
6.436712311950895e-169
3.384655027042465e-166
Results
22.0ms178×0valid
18.0ms61×2valid
9.0ms33×1valid
Compiler

Compiled 210 to 188 computations (10.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 16.0ms (44.8% of total)
ival-sqrt: 9.0ms (25.2% of total)
ival-add: 4.0ms (11.2% of total)
ival-div: 3.0ms (8.4% of total)
backward-pass: 3.0ms (8.4% of total)
const: 1.0ms (2.8% of total)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
-1.5198009124865718e-112
-3.1885238438857917e-114
Results
9.0ms80×0valid
4.0ms15×2valid
3.0ms17×1valid
Compiler

Compiled 108 to 88 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.3% of total)
ival-sqrt: 2.0ms (19.7% of total)
ival-add: 2.0ms (19.7% of total)
ival-div: 1.0ms (9.8% of total)
backward-pass: 1.0ms (9.8% of total)
const: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-1.4547411375495678e-130
-2.1131905205748698e-131
Results
7.0ms72×0valid
5.0ms16×2valid
2.0ms8×1valid
Compiler

Compiled 90 to 72 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.8% of total)
ival-sqrt: 2.0ms (23.2% of total)
ival-div: 1.0ms (11.6% of total)
backward-pass: 1.0ms (11.6% of total)
ival-add: 1.0ms (11.6% of total)
const: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
-6.657407105321615e+21
-3.805339038470287e+19
Results
12.0ms41×2valid
5.0ms57×0valid
3.0ms13×1valid
0.0ms1×3valid
Compiler

Compiled 80 to 74 computations (7.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (36.6% of total)
ival-sqrt: 3.0ms (22% of total)
ival-div: 2.0ms (14.6% of total)
backward-pass: 2.0ms (14.6% of total)
ival-add: 2.0ms (14.6% of total)
const: 0.0ms (0% of total)

bsearch141.0ms (1.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
-6.657407105321615e+21
-3.805339038470287e+19
Results
12.0ms43×2valid
5.0ms55×0valid
2.0ms13×1valid
0.0ms1×3valid
Compiler

Compiled 80 to 74 computations (7.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (36.1% of total)
ival-sqrt: 3.0ms (21.6% of total)
ival-div: 2.0ms (14.4% of total)
backward-pass: 2.0ms (14.4% of total)
ival-add: 2.0ms (14.4% of total)
const: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×*-commutative
10×+-commutative
7×sub-neg
7×neg-sub0
7×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061297
183297
2101297
3114297
4122297
5125297
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)) (neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 p #s(literal 5863763440697109/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 p #s(literal 972775489807449/748288838313422294120286634350736906063837462003712 binary64)) (log.f64 (E.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -554533938824163/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (/.f64 (neg.f64 p) x) (log.f64 (E.f64)))
(if (<=.f64 x #s(literal -4395421958844917/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) (/.f64 (neg.f64 p) x) #s(literal 3/2 binary64))
(if (<=.f64 x #s(literal -500000000000000000000 binary64)) #s(literal 0 binary64) #s(literal 3/2 binary64))
(if (<=.f64 x #s(literal -500000000000000000000 binary64)) #s(literal 0 binary64) #s(literal 1/8 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)) (neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal -1/2 binary64)) (neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal -1/2 binary64)) (-.f64 (/.f64 p (neg.f64 x)) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))))))
(if (<=.f64 p #s(literal 5863763440697109/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 p #s(literal 972775489807449/748288838313422294120286634350736906063837462003712 binary64)) (log.f64 (E.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 p #s(literal 5863763440697109/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 972775489807449/748288838313422294120286634350736906063837462003712 binary64)) (log.f64 (E.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -554533938824163/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (/.f64 (neg.f64 p) x) (log.f64 (E.f64)))
(if (<=.f64 x #s(literal -554533938824163/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (/.f64 p (neg.f64 x)) (log.f64 (E.f64)))
(if (<=.f64 x #s(literal -4395421958844917/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) (/.f64 (neg.f64 p) x) #s(literal 3/2 binary64))
(if (<=.f64 x #s(literal -4395421958844917/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) (/.f64 p (neg.f64 x)) #s(literal 3/2 binary64))
(if (<=.f64 x #s(literal -500000000000000000000 binary64)) #s(literal 0 binary64) #s(literal 3/2 binary64))
(if (<=.f64 x #s(literal -500000000000000000000 binary64)) #s(literal 0 binary64) #s(literal 1/8 binary64))
#s(literal 0 binary64)

soundness964.0ms (9.6%)

Rules
802×log1p-expm1-u
802×expm1-log1p-u
740×fma-define
709×times-frac
666×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082415584
1205714813
2699814775
020211
1269158
23572154
034521
1536521
0107723801
1239222685
079924776
1248323650
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 660 to 275 computations (58.3% saved)

preprocess205.0ms (2%)

Compiler

Compiled 412 to 270 computations (34.5% saved)

end0.0ms (0%)

Profiling

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