Given's Rotation SVD example

Time bar (total: 10.4s)

analyze686.0ms (6.6%)

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

Compiled 28 to 20 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 379.0ms
ival-mult: 104.0ms (27.5% of total)
...c/correct-round.rkt:119:19: 97.0ms (25.6% of total)
ival-sqrt: 51.0ms (13.5% of total)
ival-add: 39.0ms (10.3% of total)
ival-div: 30.0ms (7.9% of total)
ival-<: 28.0ms (7.4% of total)
ival-fabs: 21.0ms (5.5% of total)
ival-and: 4.0ms (1.1% of total)
const: 4.0ms (1.1% of total)
backward-pass: 1.0ms (0.3% of total)

sample3.1s (30.1%)

Results
1.1s6199×0valid
865.0ms1174×2valid
220.0ms659×1valid
125.0ms224×3valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-add: 532.0ms (26.7% of total)
ival-mult: 452.0ms (22.7% of total)
...c/correct-round.rkt:119:19: 391.0ms (19.6% of total)
ival-sqrt: 201.0ms (10.1% of total)
ival-<: 152.0ms (7.6% of total)
ival-div: 107.0ms (5.4% of total)
backward-pass: 68.0ms (3.4% of total)
ival-fabs: 66.0ms (3.3% of total)
const: 15.0ms (0.8% of total)
ival-and: 10.0ms (0.5% of total)
Bogosity

preprocess188.0ms (1.8%)

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

Useful iterations: 3 (0.0ms)

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

(abs p)

explain230.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-0-(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
350-0-(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
190-2(2.055632101762153e-197 -2.7780827532161373e-37)(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
00-0-x
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 4 binary64) p)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) p) p)
00-0-(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
00-0-p
00-0-(*.f64 x x)
00-0-#s(literal 4 binary64)
00-0-(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
Results
103.0ms390×0valid
33.0ms58×2valid
13.0ms48×1valid
9.0ms16×3valid
Compiler

Compiled 213 to 44 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 25.0ms (39.1% of total)
ival-sqrt: 18.0ms (28.2% of total)
ival-add: 9.0ms (14.1% of total)
ival-div: 6.0ms (9.4% of total)
backward-pass: 5.0ms (7.8% of total)
const: 2.0ms (3.1% of total)

eval1.0ms (0%)

Compiler

Compiled 49 to 22 computations (55.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.8%
(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)

simplify16.0ms (0.2%)

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)

localize157.0ms (1.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
✓accuracy93.5%
(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)))))))
✓accuracy87.7%
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓accuracy74.6%
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
Results
98.0ms29×2valid
30.0ms195×0valid
6.0ms24×1valid
4.0ms8×3valid
Compiler

Compiled 97 to 15 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 11.0ms (42.3% of total)
ival-sqrt: 6.0ms (23.1% of total)
ival-add: 4.0ms (15.4% of total)
ival-div: 3.0ms (11.5% of total)
backward-pass: 3.0ms (11.5% of total)
const: 1.0ms (3.8% of total)

series92.0ms (0.9%)

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))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 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
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
3.0ms
x
@-inf
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
2.0ms
x
@-inf
(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
1.0ms
x
@0
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms
p
@0
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

rewrite382.0ms (3.7%)

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

Useful iterations: 2 (0.0ms)

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

simplify261.0ms (2.5%)

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

Useful iterations: 2 (0.0ms)

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

eval73.0ms (0.7%)

Compiler

Compiled 11687 to 2804 computations (76% saved)

prune66.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4358443
Fresh000
Picked101
Done000
Total4368444
Accuracy
99.8%
Counts
444 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶25.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
▶13.6%
(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)))))
16.7%
(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)))))
55.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) p))))
▶80.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
▶6.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
33.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶58.7%
(sqrt.f64 #s(literal 1/2 binary64))
Compiler

Compiled 196 to 150 computations (23.5% saved)

simplify671.0ms (6.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(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))))))
✓cost-diff128
(/.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)))
✓cost-diff384
(*.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))))
✓cost-diff384
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #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)))))
✓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
2137×fma-define
571×distribute-lft-in
510×distribute-rgt-in
481×fma-neg
387×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040820
190720
2211682
3470658
4874658
51336658
61789658
72481658
83362658
93842658
104120658
114215658
124249658
134261658
145220658
156313658
166396658
176449658
186486658
196558658
206600658
216673658
226708658
236764658
246803658
256862658
267245658
277412658
287546658
297639658
307845658
317907658
327963658
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
#s(literal 1 binary64)
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
x
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(*.f64 #s(literal 2 binary64) p)
#s(literal 2 binary64)
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.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
(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 #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))))
#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)))
(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))))))
#s(literal 2 binary64)
(pow.f64 p #s(literal 2 binary64))
p
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -12 binary64)
(pow.f64 x #s(literal 2 binary64))
x
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
#s(literal 1 binary64)
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
x
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(*.f64 #s(literal 2 binary64) p)
#s(literal 2 binary64)
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(sqrt.f64 #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))))
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 x (neg.f64 x))
#s(literal -1 binary64)
x
(neg.f64 x)
(/.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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 p (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 p)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 p x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
p
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 x)
x
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #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)))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #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 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #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 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #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))))))
(fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 2 binary64)
(pow.f64 p #s(literal 2 binary64))
p
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -12 binary64)
(pow.f64 x #s(literal 2 binary64))
x

localize464.0ms (4.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))
✓accuracy96.3%
(*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))
✓accuracy93.5%
(/.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)))
✓accuracy87.7%
(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)))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(neg.f64 x)
✓accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy99.7%
(*.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))
✓accuracy93.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
✓accuracy87.7%
(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
Results
155.0ms26×2valid
121.0ms35×1valid
117.0ms137×0invalid
21.0ms58×0valid
Compiler

Compiled 242 to 34 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 255.0ms
ival-div: 101.0ms (39.7% of total)
ival-hypot: 85.0ms (33.4% of total)
ival-mult: 28.0ms (11% of total)
ival-pow: 13.0ms (5.1% of total)
ival-sqrt: 11.0ms (4.3% of total)
backward-pass: 6.0ms (2.4% of total)
ival-fma: 4.0ms (1.6% of total)
ival-add: 3.0ms (1.2% of total)
ival-neg: 2.0ms (0.8% of total)
const: 1.0ms (0.4% of total)

series188.0ms (1.8%)

Counts
22 → 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 (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)))))>
#<alt (*.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))))>
#<alt (/.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)))>
#<alt (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))))))>
#<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 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (*.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))>
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#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))>
Calls

93 calls:

TimeVariablePointExpression
122.0ms
x
@0
(* 1/2 (/ (+ (* 2 (pow p 2)) (* 1/2 (* (pow p 4) (/ -12 (pow x 2))))) (pow x 2)))
8.0ms
x
@-inf
(+ 1 (/ x (sqrt (+ (* (* 2 p) (* 2 p)) (* x x)))))
3.0ms
x
@inf
(/ (* (sqrt 2) (* p (sqrt 1/2))) (neg x))
2.0ms
p
@0
(sqrt (* 1/2 (/ (+ (* 2 (pow p 2)) (* 1/2 (* (pow p 4) (/ -12 (pow x 2))))) (pow x 2))))
2.0ms
p
@0
(/ (* (sqrt 2) (* p (sqrt 1/2))) (neg x))

rewrite105.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
284×log1p-expm1-u
284×expm1-log1p-u
280×add-log-exp
280×pow1
279×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040300
1656300
Stop Event
1×node limit
Counts
22 → 499
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)))
(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 #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 (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)))
(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))))))
(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 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))
Outputs
(-.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(-.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(-.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(*.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(*.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(*.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(/.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) p)
(/.f64 (-.f64 p #s(literal -144 binary64)) (-.f64 p #s(literal -144 binary64)))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1/3 binary64))
(neg.f64 (+.f64 p #s(literal -144 binary64)))
(sqrt.f64 (+.f64 p #s(literal -144 binary64)))
(fabs.f64 (+.f64 p #s(literal -144 binary64)))
(log.f64 (exp.f64 (+.f64 p #s(literal -144 binary64))))
(log.f64 (+.f64 #s(literal -144 binary64) (expm1.f64 (+.f64 p #s(literal -144 binary64)))))
(log.f64 (/.f64 #s(literal -144 binary64) (exp.f64 (+.f64 p #s(literal -144 binary64)))))
(cbrt.f64 (+.f64 p #s(literal -144 binary64)))
(expm1.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(hypot.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(hypot.f64 p #s(literal -144 binary64))
(log1p.f64 (expm1.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(fma.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(fma.f64 p p #s(literal -144 binary64))
(+.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(+.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(+.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(+.f64 (+.f64 p #s(literal -144 binary64)) (fma.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64))))
(+.f64 p #s(literal -144 binary64))
(-.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(-.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(-.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(*.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(*.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(*.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1/3 binary64))
(neg.f64 (+.f64 p #s(literal -144 binary64)))
(sqrt.f64 (+.f64 p #s(literal -144 binary64)))
(fabs.f64 (+.f64 p #s(literal -144 binary64)))
(log.f64 (exp.f64 (+.f64 p #s(literal -144 binary64))))
(log.f64 (+.f64 #s(literal -144 binary64) (expm1.f64 (+.f64 p #s(literal -144 binary64)))))
(log.f64 (/.f64 #s(literal -144 binary64) (exp.f64 (+.f64 p #s(literal -144 binary64)))))
(cbrt.f64 (+.f64 p #s(literal -144 binary64)))
(expm1.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(hypot.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(hypot.f64 p #s(literal -144 binary64))
(log1p.f64 (expm1.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(fma.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(fma.f64 p p #s(literal -144 binary64))
(+.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(+.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(+.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(+.f64 (+.f64 p #s(literal -144 binary64)) (fma.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64))))
(+.f64 p #s(literal -144 binary64))
(-.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(-.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(-.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(*.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(*.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(*.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(/.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) p)
(/.f64 (-.f64 p #s(literal -144 binary64)) (-.f64 p #s(literal -144 binary64)))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1/3 binary64))
(neg.f64 (+.f64 p #s(literal -144 binary64)))
(sqrt.f64 (+.f64 p #s(literal -144 binary64)))
(fabs.f64 (+.f64 p #s(literal -144 binary64)))
(log.f64 (exp.f64 (+.f64 p #s(literal -144 binary64))))
(log.f64 (+.f64 #s(literal -144 binary64) (expm1.f64 (+.f64 p #s(literal -144 binary64)))))
(log.f64 (/.f64 #s(literal -144 binary64) (exp.f64 (+.f64 p #s(literal -144 binary64)))))
(cbrt.f64 (+.f64 p #s(literal -144 binary64)))
(expm1.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(log1p.f64 (expm1.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(fma.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(fma.f64 p p #s(literal -144 binary64))
(+.f64 p p)
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(/.f64 #s(literal -144 binary64) p)
(/.f64 p #s(literal -144 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -144 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 -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(fma.f64 #s(literal -144 binary64) p p)
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)
(+.f64 p p)
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(*.f64 #s(literal -144 binary64) p)
(*.f64 p #s(literal -144 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -144 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 -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(fma.f64 #s(literal -144 binary64) p p)
(+.f64 p p)
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(/.f64 #s(literal -144 binary64) p)
(/.f64 p #s(literal -144 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -144 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 -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(fma.f64 #s(literal -144 binary64) p p)
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)
(+.f64 p p)
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(/.f64 #s(literal -144 binary64) p)
(/.f64 p #s(literal -144 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -144 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 -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(fma.f64 #s(literal -144 binary64) p p)
(+.f64 p p)
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(*.f64 #s(literal -144 binary64) p)
(*.f64 p #s(literal -144 binary64))
(*.f64 p p)
(/.f64 #s(literal -144 binary64) p)
(/.f64 p #s(literal -144 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -144 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 -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(fma.f64 #s(literal -144 binary64) p p)
(+.f64 p p)
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(/.f64 #s(literal -144 binary64) p)
(/.f64 p #s(literal -144 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -144 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 -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(fma.f64 #s(literal -144 binary64) p p)
(+.f64 p p)
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(*.f64 #s(literal -144 binary64) p)
(*.f64 p #s(literal -144 binary64))
(*.f64 p p)
(pow.f64 p #s(literal -144 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 -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(fma.f64 #s(literal -144 binary64) p p)
(+.f64 p p)
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(*.f64 #s(literal -144 binary64) p)
(*.f64 p #s(literal -144 binary64))
(*.f64 p p)
(/.f64 #s(literal -144 binary64) p)
(/.f64 p #s(literal -144 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -144 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 -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(+.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(+.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(+.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(+.f64 (+.f64 p #s(literal -144 binary64)) (fma.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64))))
(+.f64 p #s(literal -144 binary64))
(-.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(-.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(-.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(*.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(*.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(*.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(/.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) p)
(/.f64 (-.f64 p #s(literal -144 binary64)) (-.f64 p #s(literal -144 binary64)))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1/3 binary64))
(neg.f64 (+.f64 p #s(literal -144 binary64)))
(fabs.f64 (+.f64 p #s(literal -144 binary64)))
(log.f64 (exp.f64 (+.f64 p #s(literal -144 binary64))))
(log.f64 (+.f64 #s(literal -144 binary64) (expm1.f64 (+.f64 p #s(literal -144 binary64)))))
(log.f64 (/.f64 #s(literal -144 binary64) (exp.f64 (+.f64 p #s(literal -144 binary64)))))
(cbrt.f64 (+.f64 p #s(literal -144 binary64)))
(expm1.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(hypot.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(hypot.f64 p #s(literal -144 binary64))
(log1p.f64 (expm1.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(fma.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(fma.f64 p p #s(literal -144 binary64))
(+.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(+.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(+.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(+.f64 (+.f64 p #s(literal -144 binary64)) (fma.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64))))
(+.f64 p #s(literal -144 binary64))
(-.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(-.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(-.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(/.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) p)
(/.f64 (-.f64 p #s(literal -144 binary64)) (-.f64 p #s(literal -144 binary64)))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1/3 binary64))
(neg.f64 (+.f64 p #s(literal -144 binary64)))
(sqrt.f64 (+.f64 p #s(literal -144 binary64)))
(fabs.f64 (+.f64 p #s(literal -144 binary64)))
(log.f64 (exp.f64 (+.f64 p #s(literal -144 binary64))))
(log.f64 (+.f64 #s(literal -144 binary64) (expm1.f64 (+.f64 p #s(literal -144 binary64)))))
(log.f64 (/.f64 #s(literal -144 binary64) (exp.f64 (+.f64 p #s(literal -144 binary64)))))
(cbrt.f64 (+.f64 p #s(literal -144 binary64)))
(expm1.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(hypot.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(hypot.f64 p #s(literal -144 binary64))
(log1p.f64 (expm1.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(fma.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(fma.f64 p p #s(literal -144 binary64))
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)
(+.f64 p p)
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(/.f64 #s(literal -144 binary64) p)
(/.f64 p #s(literal -144 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -144 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 -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
p
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(fma.f64 #s(literal -144 binary64) p p)
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)

simplify368.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
622×fma-define
450×*-commutative
440×associate-*r*
361×associate-*l*
312×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069122264
1215621219
2765921179
Stop Event
1×node limit
Counts
835 → 467
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)))))
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#s(literal 2 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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x
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(-.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(-.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(/.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) p)
(/.f64 (-.f64 p #s(literal -144 binary64)) (-.f64 p #s(literal -144 binary64)))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1/3 binary64))
(neg.f64 (+.f64 p #s(literal -144 binary64)))
(sqrt.f64 (+.f64 p #s(literal -144 binary64)))
(fabs.f64 (+.f64 p #s(literal -144 binary64)))
(log.f64 (exp.f64 (+.f64 p #s(literal -144 binary64))))
(log.f64 (+.f64 #s(literal -144 binary64) (expm1.f64 (+.f64 p #s(literal -144 binary64)))))
(log.f64 (/.f64 #s(literal -144 binary64) (exp.f64 (+.f64 p #s(literal -144 binary64)))))
(cbrt.f64 (+.f64 p #s(literal -144 binary64)))
(expm1.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(hypot.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(hypot.f64 p #s(literal -144 binary64))
(log1p.f64 (expm1.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(fma.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(fma.f64 p p #s(literal -144 binary64))
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)
(+.f64 p p)
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(/.f64 #s(literal -144 binary64) p)
(/.f64 p #s(literal -144 binary64))
(/.f64 p p)
(pow.f64 p #s(literal -144 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 -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(fma.f64 #s(literal -144 binary64) p p)
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 x p) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 3/256 binary64) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64))) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.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)))
(/.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 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64))) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#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 (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)) (fma.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.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) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))) #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)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.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) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.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) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 (*.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 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 x p) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) p)))
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(sqrt.f64 #s(literal 1/2 binary64))
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#s(literal 1/2 binary64)
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(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1/2 binary64)
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(-.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
#s(literal 0 binary64)
(*.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(+.f64 (*.f64 p #s(literal -144 binary64)) #s(literal 20736 binary64))
(fma.f64 p #s(literal -144 binary64) #s(literal 20736 binary64))
(*.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(+.f64 (*.f64 p #s(literal -144 binary64)) #s(literal 20736 binary64))
(fma.f64 p #s(literal -144 binary64) #s(literal 20736 binary64))
(*.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(/.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(/.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 p #s(literal -144 binary64)) p)
(/.f64 (-.f64 p #s(literal -144 binary64)) (-.f64 p #s(literal -144 binary64)))
#s(literal 1 binary64)
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 p #s(literal -144 binary64)))
(neg.f64 (+.f64 p #s(literal -144 binary64)))
(+.f64 (neg.f64 p) #s(literal 144 binary64))
(-.f64 #s(literal 144 binary64) p)
(fabs.f64 (+.f64 p #s(literal -144 binary64)))
(log.f64 (exp.f64 (+.f64 p #s(literal -144 binary64))))
(+.f64 p #s(literal -144 binary64))
(log.f64 (+.f64 #s(literal -144 binary64) (expm1.f64 (+.f64 p #s(literal -144 binary64)))))
(log.f64 (fma.f64 (exp.f64 p) (exp.f64 #s(literal -144 binary64)) #s(literal -145 binary64)))
(log.f64 (/.f64 #s(literal -144 binary64) (exp.f64 (+.f64 p #s(literal -144 binary64)))))
(cbrt.f64 (+.f64 p #s(literal -144 binary64)))
(expm1.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(-.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1 binary64))
(+.f64 p #s(literal -145 binary64))
(hypot.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(hypot.f64 p #s(literal -144 binary64))
(log1p.f64 (expm1.f64 (+.f64 p #s(literal -144 binary64))))
(+.f64 p #s(literal -144 binary64))
(exp.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(+.f64 p #s(literal -144 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(exp.f64 (-.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) (exp.f64 #s(literal -144 binary64)))
(*.f64 (+.f64 p #s(literal -144 binary64)) (exp.f64 #s(literal 144 binary64)))
(fma.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(+.f64 (*.f64 p #s(literal -144 binary64)) #s(literal 20592 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(*.f64 (+.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1 binary64)) (+.f64 p #s(literal -144 binary64)))
(fma.f64 p p #s(literal -144 binary64))
(+.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(+.f64 p #s(literal -288 binary64))
(+.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(+.f64 p #s(literal -288 binary64))
(+.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 p #s(literal -144 binary64)))
(+.f64 (*.f64 p #s(literal 2 binary64)) #s(literal -288 binary64))
(+.f64 (+.f64 p #s(literal -144 binary64)) (fma.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64))))
(+.f64 p (+.f64 #s(literal -144 binary64) (*.f64 #s(literal -143 binary64) (+.f64 p #s(literal -144 binary64)))))
(+.f64 p #s(literal -144 binary64))
(-.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(neg.f64 p)
(-.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(+.f64 p #s(literal 0 binary64))
p
(-.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
#s(literal 0 binary64)
(/.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(/.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 p #s(literal -144 binary64)) p)
(/.f64 (-.f64 p #s(literal -144 binary64)) (-.f64 p #s(literal -144 binary64)))
#s(literal 1 binary64)
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 p #s(literal -144 binary64)))
(neg.f64 (+.f64 p #s(literal -144 binary64)))
(+.f64 (neg.f64 p) #s(literal 144 binary64))
(-.f64 #s(literal 144 binary64) p)
(sqrt.f64 (+.f64 p #s(literal -144 binary64)))
(fabs.f64 (+.f64 p #s(literal -144 binary64)))
(log.f64 (exp.f64 (+.f64 p #s(literal -144 binary64))))
(+.f64 p #s(literal -144 binary64))
(log.f64 (+.f64 #s(literal -144 binary64) (expm1.f64 (+.f64 p #s(literal -144 binary64)))))
(log.f64 (fma.f64 (exp.f64 p) (exp.f64 #s(literal -144 binary64)) #s(literal -145 binary64)))
(log.f64 (/.f64 #s(literal -144 binary64) (exp.f64 (+.f64 p #s(literal -144 binary64)))))
(cbrt.f64 (+.f64 p #s(literal -144 binary64)))
(expm1.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(-.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1 binary64))
(+.f64 p #s(literal -145 binary64))
(hypot.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(hypot.f64 p #s(literal -144 binary64))
(log1p.f64 (expm1.f64 (+.f64 p #s(literal -144 binary64))))
(+.f64 p #s(literal -144 binary64))
(exp.f64 (log.f64 (+.f64 p #s(literal -144 binary64))))
(+.f64 p #s(literal -144 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(pow.f64 (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(exp.f64 (-.f64 (log.f64 (+.f64 p #s(literal -144 binary64))) #s(literal -144 binary64)))
(/.f64 (+.f64 p #s(literal -144 binary64)) (exp.f64 #s(literal -144 binary64)))
(*.f64 (+.f64 p #s(literal -144 binary64)) (exp.f64 #s(literal 144 binary64)))
(fma.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(+.f64 (*.f64 p #s(literal -144 binary64)) #s(literal 20592 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) #s(literal -144 binary64))
(fma.f64 (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)) (+.f64 p #s(literal -144 binary64)))
(*.f64 (+.f64 (+.f64 p #s(literal -144 binary64)) #s(literal 1 binary64)) (+.f64 p #s(literal -144 binary64)))
(fma.f64 p p #s(literal -144 binary64))
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)
(+.f64 p p)
(*.f64 p #s(literal 2 binary64))
(-.f64 #s(literal -144 binary64) p)
(-.f64 p p)
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal -144 binary64))
(+.f64 (exp.f64 (log1p.f64 p)) #s(literal 144 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) p) #s(literal 144 binary64))
(/.f64 #s(literal -144 binary64) p)
(/.f64 p #s(literal -144 binary64))
(/.f64 p p)
#s(literal 1 binary64)
(pow.f64 p #s(literal -144 binary64))
(pow.f64 p #s(literal 1/3 binary64))
(cbrt.f64 p)
(neg.f64 p)
(-.f64 #s(literal -144 binary64) (+.f64 p #s(literal -144 binary64)))
(sqrt.f64 p)
(fabs.f64 p)
(log.f64 (exp.f64 p))
(+.f64 p #s(literal 0 binary64))
p
(log.f64 (+.f64 #s(literal -144 binary64) (expm1.f64 p)))
(cbrt.f64 p)
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(+.f64 p #s(literal 0 binary64))
p
(exp.f64 (log.f64 p))
(+.f64 p #s(literal 0 binary64))
p
(fma.f64 #s(literal -144 binary64) p p)
(*.f64 #s(literal -143 binary64) p)
#s(literal -144 binary64)
#s(literal -12 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/12 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 6 binary64)
#s(literal 8 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 144 binary64)

eval68.0ms (0.7%)

Compiler

Compiled 12853 to 2397 computations (81.4% saved)

prune75.0ms (0.7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New47111482
Fresh213
Picked235
Done000
Total47515490
Accuracy
99.9%
Counts
490 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓25.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
9.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 3/2 binary64))) (neg.f64 x))
▶9.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64))) (neg.f64 x))
25.6%
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
8.0%
(*.f64 p p)
16.7%
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
9.4%
(sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
▶55.1%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓80.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
6.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
▶33.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓58.7%
(sqrt.f64 #s(literal 1/2 binary64))
▶15.8%
#s(literal 3/2 binary64)
13.9%
#s(literal 1/8 binary64)
▶6.9%
#s(literal 0 binary64)
Compiler

Compiled 230 to 185 computations (19.6% saved)

simplify49.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 p #s(literal 1/4 binary64))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64)))
✓cost-diff64
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64))) (neg.f64 x))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓cost-diff6528
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
✓cost-diff-6272
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓cost-diff0
(*.f64 x #s(literal 1/4 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
Rules
414×fma-define
73×fma-neg
71×associate-*l*
54×distribute-lft-in
49×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025185
144173
292173
3234173
4397173
5509173
6664173
7870173
8980173
91331173
101333173
111333173
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(*.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
p
#s(literal 0 binary64)
#s(literal 3/2 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64))) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 p #s(literal 1/4 binary64))
p
#s(literal 1/4 binary64)
(neg.f64 x)
x
Outputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(*.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
p
#s(literal 0 binary64)
#s(literal 3/2 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal 1/4 binary64)) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 p x)))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 p #s(literal -1/4 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 p #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) p)
p
#s(literal 1/4 binary64)
(neg.f64 x)
x

localize68.0ms (0.7%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(neg.f64 x)
✓accuracy99.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64))) (neg.f64 x))
✓accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
✓accuracy100.0%
(*.f64 x #s(literal 1/4 binary64))
✓accuracy96.6%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
Results
33.0ms195×0valid
9.0ms61×0invalid
Compiler

Compiled 67 to 19 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (32.4% of total)
ival-sqrt: 5.0ms (23.1% of total)
ival-div: 4.0ms (18.5% of total)
ival-add: 3.0ms (13.9% of total)
const: 1.0ms (4.6% of total)
ival-neg: 1.0ms (4.6% of total)
backward-pass: 0.0ms (0% of total)

series31.0ms (0.3%)

Counts
11 → 144
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)>
#<alt (*.f64 x #s(literal 1/4 binary64))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64))) (neg.f64 x))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 p #s(literal 1/4 binary64))>
#<alt (neg.f64 x)>
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 (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<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 -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) p)>
#<alt (*.f64 #s(literal 1/4 binary64) 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)>
Calls

36 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(sqrt (+ 1/2 (/ (* x 1/4) p)))
4.0ms
p
@inf
(sqrt (+ 1/2 (/ (* x 1/4) p)))
1.0ms
x
@-inf
(sqrt (+ 1/2 (/ (* x 1/4) p)))
1.0ms
p
@0
(/ (* (sqrt 2) (* p 1/4)) (neg x))
1.0ms
x
@0
(/ (* (sqrt 2) (* p 1/4)) (neg x))

rewrite167.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
836×log1p-expm1-u
836×expm1-log1p-u
203×expm1-undefine
203×log1p-undefine
192×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023161
1269145
23966145
Stop Event
1×node limit
Counts
11 → 290
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(*.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64))) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 p #s(literal 1/4 binary64))
(neg.f64 x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) p)))
(*.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) p))
(*.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 p)))
(*.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/4 binary64) p)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/4 binary64) p)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) p))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) p)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/4 binary64) p)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) p))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) p)))
(*.f64 (/.f64 #s(literal 1 binary64) p) (*.f64 x #s(literal 1/4 binary64)))
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(*.f64 (/.f64 x (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (cbrt.f64 p)))
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(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (cbrt.f64 p)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 p)) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (sqrt.f64 p)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) p) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (sqrt.f64 p)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) (sqrt.f64 p)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) p) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (cbrt.f64 p)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))
(*.f64 (*.f64 #s(literal 1/4 binary64) p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal 1/4 binary64) p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) x))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) x))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 p x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) p) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 1/4 binary64) p) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) p) (sqrt.f64 x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) x))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) x))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 p) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) p))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 p)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/4 binary64) p))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) p)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/4 binary64) p)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) p)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) p)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))

simplify199.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
642×associate-*r*
635×associate-*l*
374×exp-prod
334×times-frac
303×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070311943
1157211642
2710011544
Stop Event
1×node limit
Counts
434 → 435
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))
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(*.f64 (*.f64 #s(literal 1/4 binary64) p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) x))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) x))
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 p x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) p) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 1/4 binary64) p) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) p) (sqrt.f64 x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) x))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) x))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 p) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) p))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 p)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/4 binary64) p))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) p) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) p)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/4 binary64) p)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) p)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) p)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) 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)))
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(*.f64 #s(literal 1/4 binary64) p)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) p)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) p)
(+.f64 #s(literal 0 binary64) x)
x
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 x))
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x

eval149.0ms (1.4%)

Compiler

Compiled 6617 to 1419 computations (78.6% saved)

prune65.0ms (0.6%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New4323435
Fresh077
Picked325
Done033
Total43515450
Accuracy
99.9%
Counts
450 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓25.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
9.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 3/2 binary64))) (neg.f64 x))
▶9.3%
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
▶25.6%
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
8.0%
(*.f64 p p)
9.3%
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
16.7%
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
9.4%
(sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
✓55.1%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓80.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
▶6.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
✓58.7%
(sqrt.f64 #s(literal 1/2 binary64))
▶33.4%
#s(literal 1 binary64)
▶13.9%
#s(literal 1/8 binary64)
✓6.9%
#s(literal 0 binary64)
Compiler

Compiled 223 to 176 computations (21.1% saved)

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓cost-diff0
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓cost-diff0
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓cost-diff0
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) p)
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
Rules
1320×fma-define
83×distribute-lft-in
81×associate-*r*
81×associate-*l*
56×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024229
148229
2103229
3220229
4357229
5610229
6877229
71207229
81908229
92305229
102306229
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 1/8 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#s(literal 1/2 binary64)
p
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
p
(/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
p
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
Outputs
#s(literal 1 binary64)
#s(literal 1/8 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#s(literal 1/2 binary64)
p
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
p
(/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
p
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize78.0ms (0.7%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓accuracy99.6%
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
✓accuracy99.4%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓accuracy99.2%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.7%
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
✓accuracy99.4%
(/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) p)
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
Results
52.0ms256×0valid
Compiler

Compiled 75 to 19 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 15.0ms (56.4% of total)
ival-sqrt: 6.0ms (22.5% of total)
ival-div: 4.0ms (15% of total)
const: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.1%)

Counts
9 → 96
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))>
#<alt (*.f64 #s(literal 1/2 binary64) p)>
#<alt (*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))>
#<alt (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)>
Outputs
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
p
@-inf
(sqrt (* 1/2 p))
1.0ms
p
@0
(sqrt (* 1/2 p))
0.0ms
p
@inf
(sqrt (* 1/2 p))
0.0ms
x
@0
(/ (* -1/4 (sqrt 2)) x)
0.0ms
x
@-inf
(neg (* (sqrt 1/2) (/ (sqrt 2) x)))

rewrite157.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
790×log-prod
782×log1p-expm1-u
782×expm1-log1p-u
222×expm1-undefine
222×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022191
1292113
24017113
Stop Event
1×node limit
Counts
9 → 315
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 p))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 p)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 p)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) p))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) p))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) p)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) p)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) p)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))) #s(literal 1 binary64))
(/.f64 p (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/8 binary64)))))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 1/8 binary64))) x)
(/.f64 (neg.f64 (*.f64 p (sqrt.f64 #s(literal 1/8 binary64)))) (neg.f64 x))
(/.f64 (*.f64 p (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))) p) (neg.f64 x))
(/.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))))
(cbrt.f64 (pow.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))
(exp.f64 (log.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) x))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/8 binary64))) (cbrt.f64 x)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))) x))
(sqrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
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(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))

simplify279.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
821×fma-neg
535×associate-/r*
231×associate-*r*
203×distribute-lft-neg-in
201×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05788981
111328945
233788933
374718933
Stop Event
1×node limit
Counts
411 → 341
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 p))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 p)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 p)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) p))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) p))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) p) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) p)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) p)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) p)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) p))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 p (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))) #s(literal 1 binary64))
(/.f64 p (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/8 binary64)))))
(/.f64 (*.f64 p (sqrt.f64 #s(literal 1/8 binary64))) x)
(/.f64 (neg.f64 (*.f64 p (sqrt.f64 #s(literal 1/8 binary64)))) (neg.f64 x))
(/.f64 (*.f64 p (neg.f64 (sqrt.f64 #s(literal 1/8 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))) p) (neg.f64 x))
(/.f64 (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)) x)
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(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 x)))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 p) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 p)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 p) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 p)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 p) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 p)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 p) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 p)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
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(/.f64 #s(literal -1 binary64) x)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 x (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) x)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)

eval51.0ms (0.5%)

Compiler

Compiled 4293 to 1249 computations (70.9% saved)

prune106.0ms (1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New3971398
Fresh235
Picked325
Done145
Total40310413
Accuracy
100.0%
Counts
413 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.8%
(/.f64 (neg.f64 p) x)
8.0%
(*.f64 p p)
16.7%
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
9.4%
(sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
✓55.1%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓80.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
✓58.7%
(sqrt.f64 #s(literal 1/2 binary64))
✓33.4%
#s(literal 1 binary64)
✓13.9%
#s(literal 1/8 binary64)
✓6.9%
#s(literal 0 binary64)
Compiler

Compiled 272 to 152 computations (44.1% saved)

regimes78.0ms (0.8%)

Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(*.f64 p p)
(/.f64 (neg.f64 p) x)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 3/2 binary64))) (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))))
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (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)))))
Outputs
(/.f64 (neg.f64 p) x)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))))
Calls

7 calls:

37.0ms
x
7.0ms
p
7.0ms
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
7.0ms
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
6.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
Results
AccuracySegmentsBranch
85.9%3p
84.4%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))))
80.8%1(*.f64 (*.f64 #s(literal 4 binary64) p) p)
Compiler

Compiled 80 to 56 computations (30% saved)

regimes15.0ms (0.1%)

Counts
18 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(*.f64 p p)
(/.f64 (neg.f64 p) x)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 p (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 1/4 binary64))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p #s(literal 3/2 binary64))) (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))))
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
Outputs
(/.f64 (neg.f64 p) x)
#s(literal 1 binary64)
(/.f64 (neg.f64 p) x)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
Calls

2 calls:

8.0ms
p
6.0ms
x
Results
AccuracySegmentsBranch
80.0%5p
69.1%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 1 binary64)
#s(literal 3/2 binary64)
(*.f64 p p)
(/.f64 (neg.f64 p) x)
Outputs
(/.f64 (neg.f64 p) x)
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
p
3.0ms
x
Results
AccuracySegmentsBranch
52.4%2x
42.1%4p
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 1 binary64)
#s(literal 3/2 binary64)
(*.f64 p p)
Outputs
(*.f64 p p)
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
p
2.0ms
x
Results
AccuracySegmentsBranch
33.4%1p
35.8%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
35.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

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:

2.0ms
p
2.0ms
x
Results
AccuracySegmentsBranch
16.7%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
x
1.0ms
p
Results
AccuracySegmentsBranch
6.9%1x
6.9%1p
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999987
-5.420701469101989e-6
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch137.0ms (1.3%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
2.624662092999036e-17
2.4902409414045224e-13
32.0ms
1.3696741511296143e-124
7.482789315910599e-113
25.0ms
2.8044003333790625e-257
1.8639514518578135e-256
37.0ms
1.2190573677744488e-287
5.105711558480876e-284
Results
41.0ms130×2valid
31.0ms307×0valid
17.0ms37×3valid
8.0ms38×1valid
Compiler

Compiled 360 to 306 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 26.0ms (37.1% of total)
ival-sqrt: 19.0ms (27.1% of total)
ival-add: 10.0ms (14.3% of total)
ival-div: 8.0ms (11.4% of total)
backward-pass: 6.0ms (8.6% of total)
const: 2.0ms (2.9% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-1.257301815796483e-112
-3.161458315508741e-113
Results
9.0ms65×0valid
2.0ms7×2valid
2.0ms8×1valid
Compiler

Compiled 79 to 63 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (60.4% of total)
ival-sqrt: 2.0ms (20.1% of total)
ival-div: 1.0ms (10.1% of total)
ival-add: 1.0ms (10.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
-1.1194178241933857e+36
-1.6366965703090996e+31
Results
15.0ms42×2valid
7.0ms76×0valid
4.0ms20×1valid
2.0ms6×3valid
Compiler

Compiled 114 to 90 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (42.8% of total)
ival-sqrt: 4.0ms (21.4% of total)
ival-add: 3.0ms (16.1% of total)
ival-div: 2.0ms (10.7% of total)
backward-pass: 2.0ms (10.7% of total)
const: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
-1.1194178241933857e+36
-1.6366965703090996e+31
Results
14.0ms46×2valid
9.0ms18×1valid
6.0ms70×0valid
4.0ms10×3valid
Compiler

Compiled 96 to 90 computations (6.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (39.2% of total)
ival-sqrt: 5.0ms (24.5% of total)
ival-div: 3.0ms (14.7% of total)
ival-add: 3.0ms (14.7% of total)
backward-pass: 2.0ms (9.8% of total)
const: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
5.1868444717046185e-222
3.587918439261585e-219
Results
15.0ms50×2valid
6.0ms50×0valid
4.0ms20×1valid
3.0ms8×3valid
Compiler

Compiled 88 to 82 computations (6.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (33.6% of total)
ival-sqrt: 6.0ms (28.8% of total)
ival-add: 3.0ms (14.4% of total)
ival-div: 2.0ms (9.6% of total)
backward-pass: 2.0ms (9.6% of total)
const: 0.0ms (0% of total)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
060293
175293
281293
386293
489293
590293
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 p) x) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 p #s(literal 274574080591481/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 p #s(literal 2299137799502415/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 2441247760066141/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 p #s(literal 7463926734143815/81129638414606681695789005144064 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal -8318009082362445/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (/.f64 (neg.f64 p) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 p p) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -16599999999999998981256683924226048 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
(if (<=.f64 p #s(literal 4832926720608415/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176 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)) (/.f64 (neg.f64 p) x) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 p) x) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))))))
(if (<=.f64 p #s(literal 274574080591481/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 p #s(literal 2299137799502415/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 2441247760066141/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 p #s(literal 7463926734143815/81129638414606681695789005144064 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 p #s(literal 274574080591481/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 2299137799502415/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 2441247760066141/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 7463926734143815/81129638414606681695789005144064 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal -8318009082362445/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (/.f64 (neg.f64 p) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -8318009082362445/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 p p) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -16599999999999998981256683924226048 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
(if (<=.f64 p #s(literal 4832926720608415/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176 binary64)) #s(literal 0 binary64) #s(literal 1/8 binary64))
#s(literal 0 binary64)

soundness1.2s (11.8%)

Rules
836×log1p-expm1-u
836×expm1-log1p-u
821×fma-neg
802×log1p-expm1-u
802×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069122264
1215621219
2765921179
023161
1269145
23966145
05788981
111328945
233788933
374718933
022191
1292113
24017113
040300
1656300
020211
1269158
23572154
082415584
1205714813
2699814775
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 463 to 225 computations (51.4% saved)

preprocess56.0ms (0.5%)

Compiler

Compiled 384 to 246 computations (35.9% saved)

end0.0ms (0%)

Profiling

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