Statistics.Math.RootFinding:ridders from math-functions-0.1.5.2

Time bar (total: 13.1s)

analyze525.0ms (4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
25%24.9%74.8%0.2%0%0%0%6
25%24.9%74.8%0.2%0%0%0%7
25%24.9%74.8%0.2%0%0%0%8
37.5%37.4%62.3%0.2%0%0%0%9
40.6%40.5%59.2%0.2%0%0%0%10
51.7%48.3%45.2%0.2%0%6.2%0%11
51.7%48.3%45.2%0.2%0%6.2%0%12
Compiler

Compiled 20 to 13 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 62.0ms (62.7% of total)
ival-sqrt: 16.0ms (16.2% of total)
ival-sub: 13.0ms (13.2% of total)
ival-div: 6.0ms (6.1% of total)
const: 1.0ms (1% of total)
backward-pass: 1.0ms (1% of total)

sample2.7s (20.9%)

Results
1.7s8256×0valid
256.0ms2038×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-sqrt: 574.0ms (45.4% of total)
ival-mult: 490.0ms (38.8% of total)
ival-sub: 119.0ms (9.4% of total)
ival-div: 67.0ms (5.3% of total)
const: 10.0ms (0.8% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess128.0ms (1%)

Algorithm
egg-herbie
Rules
819×fma-neg
763×unsub-neg
602×div-sub
591×times-frac
514×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031384
12851368
26711368
318161368
448471368
571631368
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 z)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 (neg.f64 t) a))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t (neg.f64 a)))))
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(neg.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(neg.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 z)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 t a)))))
(neg.f64 (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 (neg.f64 t) a)))))
(neg.f64 (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t (neg.f64 a))))))
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 t y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 x a))))
(/.f64 (*.f64 (*.f64 a y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t x))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 x t) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y a))))
(/.f64 (*.f64 (*.f64 x a) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t y))))
(/.f64 (*.f64 (*.f64 x y) t) (sqrt.f64 (-.f64 (*.f64 t t) (*.f64 z a))))
(/.f64 (*.f64 (*.f64 x y) a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 t z))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))))
Outputs
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 (neg.f64 y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 x (*.f64 y (/.f64 (neg.f64 z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 (neg.f64 y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 x (*.f64 y (/.f64 (neg.f64 z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 z)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 t a))))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 (neg.f64 y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 x (*.f64 y (/.f64 (neg.f64 z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 (neg.f64 t) a))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (+.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (*.f64 t a)))))
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (fma.f64 z z (*.f64 t a))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (fma.f64 z z (*.f64 t a)))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t (neg.f64 a)))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (+.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (*.f64 t a)))))
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (fma.f64 z z (*.f64 t a))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (fma.f64 z z (*.f64 t a)))))
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(neg.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(neg.f64 (/.f64 (*.f64 (*.f64 x y) (neg.f64 z)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 t a)))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(neg.f64 (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 (neg.f64 t) a)))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 z)) (sqrt.f64 (+.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 x (/.f64 (*.f64 z (neg.f64 y)) (sqrt.f64 (fma.f64 z z (*.f64 t a)))))
(neg.f64 (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t (neg.f64 a))))))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 z)) (sqrt.f64 (+.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 x (/.f64 (*.f64 z (neg.f64 y)) (sqrt.f64 (fma.f64 z z (*.f64 t a)))))
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 t a))))
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 t a))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 t a)))))
(*.f64 y (*.f64 x (/.f64 z (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 t a))))))
(/.f64 (*.f64 (*.f64 t y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 x a))))
(*.f64 (*.f64 y t) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 x a)))))
(*.f64 z (/.f64 (*.f64 y t) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 x a)))))
(*.f64 y (/.f64 (*.f64 z t) (sqrt.f64 (fma.f64 x (neg.f64 a) (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 a y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t x))))
(/.f64 (*.f64 z (*.f64 y a)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 x t))))
(*.f64 z (/.f64 (*.f64 y a) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 x t)))))
(*.f64 y (*.f64 a (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 x t))))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 t a))))
(*.f64 (*.f64 x z) (/.f64 y (sqrt.f64 (fma.f64 y y (*.f64 a (neg.f64 t))))))
(*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 y y (*.f64 a (neg.f64 t))))))
(*.f64 z (*.f64 x (/.f64 y (sqrt.f64 (fma.f64 a (neg.f64 t) (*.f64 y y))))))
(*.f64 y (*.f64 x (/.f64 z (sqrt.f64 (fma.f64 a (neg.f64 t) (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x t) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y a))))
(*.f64 (*.f64 x t) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y a)))))
(*.f64 x (/.f64 (*.f64 z t) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y a)))))
(*.f64 x (*.f64 z (/.f64 t (sqrt.f64 (fma.f64 z z (neg.f64 (*.f64 y a)))))))
(*.f64 x (*.f64 z (/.f64 t (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y a))))))
(/.f64 (*.f64 (*.f64 x a) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t y))))
(/.f64 (*.f64 x (*.f64 z a)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y t))))
(*.f64 x (/.f64 (*.f64 z a) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y t)))))
(*.f64 a (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y t)))))
(*.f64 z (/.f64 (*.f64 x a) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y t)))))
(/.f64 (*.f64 (*.f64 x y) t) (sqrt.f64 (-.f64 (*.f64 t t) (*.f64 z a))))
(/.f64 (*.f64 x (*.f64 y t)) (sqrt.f64 (-.f64 (*.f64 t t) (*.f64 z a))))
(*.f64 x (/.f64 (*.f64 y t) (sqrt.f64 (-.f64 (*.f64 t t) (*.f64 z a)))))
(*.f64 x (/.f64 (*.f64 y t) (sqrt.f64 (fma.f64 t t (neg.f64 (*.f64 z a))))))
(*.f64 x (*.f64 y (/.f64 t (sqrt.f64 (-.f64 (*.f64 t t) (*.f64 z a))))))
(/.f64 (*.f64 (*.f64 x y) a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 t z))))
(/.f64 (*.f64 x (*.f64 y a)) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 z t))))
(*.f64 a (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 z t)))))
(*.f64 x (*.f64 y (/.f64 a (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 z t))))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

(sort t a)

explain139.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
910-2(4.124517191786353e-132 2.142949667181017e-44 1.925676164082409e-200 -5.745226686114192e-260 1.6665006024294245e-63)(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
320-1(1.662000911346985e-174 6.045909815170344e-116 7.563008776831146e-24 2.2411396900733663e-164 3.8969422404629853e+37)(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
240-3(6.961741955551305e-181 2.9506720429031326e-139 11948777178.656864 -1.709551897566868e+190 2.236585866678741e-144)(*.f64 (*.f64 x y) z)
50-0-(-.f64 (*.f64 z z) (*.f64 t a))
00-0-x
00-0-(*.f64 t a)
00-0-(*.f64 z z)
00-0-y
00-0-(*.f64 x y)
00-0-z
00-0-t
00-0-a
Results
69.0ms512×0valid
Compiler

Compiled 127 to 38 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 17.0ms (53.6% of total)
ival-sqrt: 8.0ms (25.2% of total)
ival-sub: 3.0ms (9.5% of total)
ival-div: 3.0ms (9.5% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 47 to 17 computations (63.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
70.0%
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
61.8%
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
70.7%
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
Compiler

Compiled 76 to 48 computations (36.8% saved)

localize294.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 t a)
cost-diff0
(*.f64 z z)
accuracy91.8%
(/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
accuracy91.7%
(*.f64 (*.f64 x y) z)
accuracy88.5%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
accuracy67.1%
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
Rules
1007×fma-define
361×fma-neg
326×times-frac
251×distribute-lft-in
228×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028951
149951
274951
3101951
4131951
5170951
6238951
7316951
8526951
91147951
101996951
113221951
124299951
134642951
144733951
154733951
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
x
(*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
y
(/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(-.f64 (*.f64 z z) (*.f64 t a))
(*.f64 z z)
(*.f64 t a)
t
a
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
y
(/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 x z)
x
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(-.f64 (*.f64 z z) (*.f64 t a))
(*.f64 z z)
(*.f64 t a)
t
a
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x y)
x
y
(/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(-.f64 (*.f64 z z) (*.f64 t a))
(*.f64 z z)
(*.f64 t a)
t
a
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(-.f64 (*.f64 z z) (*.f64 t a))
(*.f64 z z)
(*.f64 t a)
t
a
Outputs
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))))
x
(*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 y (/.f64 z (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))))
y
(/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 z (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z))))
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))
(-.f64 (*.f64 z z) (*.f64 t a))
(fma.f64 t (neg.f64 a) (*.f64 z z))
(*.f64 z z)
(*.f64 t a)
t
a
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))))
y
(/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 x (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (/.f64 z (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))))
(*.f64 x z)
x
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))
(-.f64 (*.f64 z z) (*.f64 t a))
(fma.f64 t (neg.f64 a) (*.f64 z z))
(*.f64 z z)
(*.f64 t a)
t
a
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))))
(*.f64 x y)
x
y
(/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 z (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z))))
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))
(-.f64 (*.f64 z z) (*.f64 t a))
(fma.f64 t (neg.f64 a) (*.f64 z z))
(*.f64 z z)
(*.f64 t a)
t
a
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))))
(*.f64 (*.f64 x y) z)
(*.f64 x (*.f64 y z))
(*.f64 y (*.f64 x z))
(*.f64 x y)
x
y
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(sqrt.f64 (fma.f64 t (neg.f64 a) (*.f64 z z)))
(-.f64 (*.f64 z z) (*.f64 t a))
(fma.f64 t (neg.f64 a) (*.f64 z z))
(*.f64 z z)
(*.f64 t a)
t
a
Results
120.0ms256×0valid
Compiler

Compiled 224 to 20 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 64.0ms (88% of total)
ival-div: 5.0ms (6.9% of total)
ival-sqrt: 2.0ms (2.8% of total)
ival-sub: 1.0ms (1.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series96.0ms (0.7%)

Counts
7 → 216
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))>
#<alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))>
#<alt (*.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))>
#<alt (*.f64 z z)>
#<alt (*.f64 t a)>
#<alt (*.f64 x z)>
Outputs
#<alt (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))))))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))>
#<alt (+.f64 z (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) t) (pow.f64 z #s(literal 3 binary64)))))))>
#<alt (+.f64 z (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) (*.f64 t (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) t) (pow.f64 z #s(literal 5 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 t (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 t (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 7 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 7 binary64))))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))>
#<alt (+.f64 z (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))))))>
#<alt (+.f64 z (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
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#<alt (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t x) (pow.f64 z #s(literal 2 binary64)))) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 8 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 2 binary64))))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (*.f64 x (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (*.f64 x (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64)))) (/.f64 (*.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 a (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 x (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 x (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (*.f64 x (*.f64 z (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (pow.f64 z #s(literal 4 binary64))) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))))))))) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
#<alt (*.f64 a t)>
Calls

60 calls:

TimeVariablePointExpression
19.0ms
a
@0
(sqrt (- (* z z) (* t a)))
13.0ms
t
@inf
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
4.0ms
a
@inf
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
3.0ms
z
@0
(/ (* x z) (sqrt (- (* z z) (* t a))))
3.0ms
z
@0
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))

rewrite372.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1026×log1p-expm1-u
895×prod-diff
270×expm1-log1p-u
147×associate-*r*
142×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023199
1324199
24415199
Stop Event
node limit
Counts
7 → 185
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 x y) z)
(/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 z z)
(*.f64 t a)
(*.f64 x z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 t a) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 z z (*.f64 t a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t a) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 t a) (fma.f64 z z (*.f64 t a))))))
(pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))) #s(literal 1 binary64))
(*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 z (*.f64 (*.f64 x y) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64))))
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 x (*.f64 (*.f64 z y) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64))))
(*.f64 y (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (*.f64 z (*.f64 x y)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) (sqrt.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) (/.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) (*.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (neg.f64 x) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64)) (*.f64 z (*.f64 x y)))
(*.f64 (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (*.f64 x y))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 z (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (*.f64 x y) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (/.f64 z (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (*.f64 x y) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 x y) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 z y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (*.f64 z y) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (*.f64 z y) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (*.f64 x y) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 z (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (*.f64 z (*.f64 x y)) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (*.f64 z (*.f64 x y)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(pow.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) (*.f64 z (*.f64 x y))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 z (*.f64 x y)) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 z y)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))) #s(literal 1 binary64))
(*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 z (*.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64))))
(*.f64 x (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (*.f64 z x) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) (sqrt.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64)) (*.f64 z x))
(*.f64 (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) x)
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 z (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (/.f64 z (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 z (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (*.f64 z x) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (*.f64 z x) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(pow.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) (*.f64 z x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(neg.f64 (/.f64 (*.f64 z (neg.f64 x)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(exp.f64 (log.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t a))) #s(literal 1 binary64))
(pow.f64 (*.f64 t a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 t a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 t a) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) t))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t a))))
(cbrt.f64 (pow.f64 (*.f64 t a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 t a)))
(log1p.f64 (expm1.f64 (*.f64 t a)))
(exp.f64 (log.f64 (*.f64 t a)))
(exp.f64 (*.f64 (log.f64 (*.f64 t a)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))

simplify234.0ms (1.8%)

Algorithm
egg-herbie
Rules
782×fma-define
421×*-commutative
383×associate-*r/
381×distribute-rgt-in
381×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100927300
1297826776
Stop Event
node limit
Counts
401 → 452
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))))))))
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))
(+.f64 z (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) t) (pow.f64 z #s(literal 3 binary64)))))))
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(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
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z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))
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(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
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(*.f64 x y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y))
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(*.f64 #s(literal -1 binary64) (*.f64 x y))
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(pow.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 1 binary64))
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(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (*.f64 z x) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (*.f64 z x) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(pow.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) (*.f64 z x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(neg.f64 (/.f64 (*.f64 z (neg.f64 x)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(exp.f64 (log.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t a))) #s(literal 1 binary64))
(pow.f64 (*.f64 t a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 t a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 t a) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) t))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t a))))
(cbrt.f64 (pow.f64 (*.f64 t a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 t a)))
(log1p.f64 (expm1.f64 (*.f64 t a)))
(exp.f64 (log.f64 (*.f64 t a)))
(exp.f64 (*.f64 (log.f64 (*.f64 t a)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a t) #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64)))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (pow.f64 z #s(literal 4 binary64))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a t)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))))
(*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))))))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (pow.f64 z #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a t)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))))))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 z))
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)
(+.f64 z (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) t) (pow.f64 z #s(literal 3 binary64)))))))
(+.f64 z (*.f64 t (fma.f64 #s(literal -1/2 binary64) (/.f64 a z) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))))))))
(fma.f64 t (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) z)) z)
(+.f64 z (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) (*.f64 t (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) t) (pow.f64 z #s(literal 5 binary64)))))))))
(+.f64 z (*.f64 t (fma.f64 #s(literal -1/2 binary64) (/.f64 a z) (*.f64 t (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 t (pow.f64 a #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))))))))
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(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(/.f64 (*.f64 z x) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))
(exp.f64 (log.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(/.f64 (*.f64 z x) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 1 binary64)))
(*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(/.f64 (*.f64 z x) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(cbrt.f64 (pow.f64 z #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 z #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t a))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 a t)))
(pow.f64 (*.f64 t a) #s(literal 1 binary64))
(*.f64 a t)
(pow.f64 (cbrt.f64 (*.f64 t a)) #s(literal 3 binary64))
(*.f64 a t)
(pow.f64 (pow.f64 (*.f64 t a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 a t)
(pow.f64 (sqrt.f64 (*.f64 t a)) #s(literal 2 binary64))
(*.f64 a t)
(sqrt.f64 (pow.f64 (*.f64 t a) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)))
(fabs.f64 (*.f64 a t))
(log.f64 (pow.f64 (exp.f64 a) t))
(*.f64 a t)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t a))))
(*.f64 a t)
(cbrt.f64 (pow.f64 (*.f64 t a) #s(literal 3 binary64)))
(*.f64 a t)
(expm1.f64 (log1p.f64 (*.f64 t a)))
(expm1.f64 (log1p.f64 (*.f64 a t)))
(log1p.f64 (expm1.f64 (*.f64 t a)))
(*.f64 a t)
(exp.f64 (log.f64 (*.f64 t a)))
(*.f64 a t)
(exp.f64 (*.f64 (log.f64 (*.f64 t a)) #s(literal 1 binary64)))
(*.f64 a t)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(*.f64 z x)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z x)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(*.f64 z x)
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z x))
(log.f64 (pow.f64 (exp.f64 z) x))
(*.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(*.f64 z x)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(*.f64 z x)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 z x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 z x)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (log.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(*.f64 z x)

eval342.0ms (2.6%)

Compiler

Compiled 29609 to 18169 computations (38.6% saved)

prune301.0ms (2.3%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New88616902
Fresh000
Picked134
Done000
Total88719906
Accuracy
97.0%
Counts
906 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))
69.4%
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
66.4%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
67.5%
(/.f64 (*.f64 (*.f64 x y) z) z)
63.9%
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
78.5%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
70.0%
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
67.0%
(*.f64 (*.f64 x y) (/.f64 z (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))))
57.6%
(*.f64 (*.f64 x y) (/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))))
66.6%
(*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
75.4%
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
73.5%
(*.f64 y (/.f64 (*.f64 x z) z))
62.6%
(*.f64 y (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
62.5%
(*.f64 y (*.f64 z (*.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64)))))
72.3%
(*.f64 y x)
76.3%
(*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))))
70.7%
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
49.1%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
63.5%
(exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
Compiler

Compiled 645 to 436 computations (32.4% saved)

localize795.0ms (6.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 t z)
cost-diff0
(*.f64 a (/.f64 t z))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
cost-diff0
(*.f64 x y)
accuracy89.7%
(*.f64 a (/.f64 t z))
accuracy75.3%
(*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
accuracy67.1%
(sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
accuracy52.2%
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))
Rules
994×fma-neg
607×div-sub
390×fma-define
361×associate-/r*
299×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0391042
1731018
21411018
32081018
42801018
53421018
64101018
75131018
811141018
929721018
1046181018
1162191018
1267781018
1374761018
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 x y)
x
y
(/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
#s(literal -1/2 binary64)
(*.f64 a (/.f64 t z))
a
(/.f64 t z)
t
(*.f64 y x)
y
x
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
y
(/.f64 (*.f64 x z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
(*.f64 x z)
x
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
#s(literal -1/2 binary64)
(*.f64 a (/.f64 t z))
a
(/.f64 t z)
t
(*.f64 y (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
y
(*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
z
(/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
x
(sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
(-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))
(pow.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 t a)
t
a
(*.f64 (*.f64 x y) (/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))))
(*.f64 x y)
x
y
(/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64))))
z
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64))
(-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))
(pow.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 t a)
t
a
#s(literal 3/2 binary64)
Outputs
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z) z)))
(*.f64 x y)
x
y
(/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
(/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z))
(/.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z) z))
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z) z)
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))
#s(literal -1/2 binary64)
(*.f64 a (/.f64 t z))
(/.f64 (*.f64 a t) z)
a
(/.f64 t z)
t
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z) z)))
y
(/.f64 (*.f64 x z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
(*.f64 x (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 x (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)))
(*.f64 z (/.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z) z)))
(*.f64 x z)
x
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z) z)
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))
#s(literal -1/2 binary64)
(*.f64 a (/.f64 t z))
(/.f64 (*.f64 a t) z)
a
(/.f64 t z)
t
(*.f64 y (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 y (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
y
(*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))
z
(/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))
x
(sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
(sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))
(-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))
(-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))
(pow.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 t a)
(*.f64 a t)
t
a
(*.f64 (*.f64 x y) (/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))))
(*.f64 (*.f64 x y) (/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)) #s(literal 3/2 binary64)))))
(*.f64 y (*.f64 x (/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)) #s(literal 3/2 binary64))))))
(*.f64 x (*.f64 y (/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)) #s(literal 3/2 binary64))))))
(*.f64 (*.f64 y z) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)) #s(literal 3/2 binary64)))))
(*.f64 x y)
x
y
(/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64))))
(/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)) #s(literal 3/2 binary64))))
z
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64))
(pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)) #s(literal 3/2 binary64))
(-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))
(-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))
(pow.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 t a)
(*.f64 a t)
t
a
#s(literal 3/2 binary64)
Results
280.0ms256×0valid
Compiler

Compiled 264 to 103 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-pow: 124.0ms (56.2% of total)
ival-mult: 35.0ms (15.9% of total)
ival-div: 17.0ms (7.7% of total)
ival-sub: 13.0ms (5.9% of total)
ival-cbrt: 12.0ms (5.4% of total)
ival-add: 8.0ms (3.6% of total)
ival-sqrt: 7.0ms (3.2% of total)
const: 4.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.3%)

Counts
7 → 192
Calls
Call 1
Inputs
#<alt (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))>
#<alt (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))>
#<alt (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))>
#<alt (*.f64 a (/.f64 t z))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))>
#<alt (/.f64 t z)>
Outputs
#<alt (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))>
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#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64))))))>
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#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))))))>
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#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))>
#<alt (+.f64 z (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) t) (pow.f64 z #s(literal 3 binary64)))))))>
#<alt (+.f64 z (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) (*.f64 t (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) t) (pow.f64 z #s(literal 5 binary64)))))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))>
#<alt (+.f64 z (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))))))>
#<alt (+.f64 z (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))))>
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#<alt (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt z>
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#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))))))>
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#<alt z>
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#<alt (+.f64 z (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) t) (pow.f64 z #s(literal 3 binary64)))))))>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
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#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 x (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))>
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#<alt (/.f64 (*.f64 a t) z)>
#<alt (/.f64 (*.f64 a t) z)>
#<alt (/.f64 (*.f64 a t) z)>
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#<alt (/.f64 (*.f64 a t) z)>
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#<alt (/.f64 (*.f64 a t) z)>
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#<alt (/.f64 (*.f64 a t) z)>
#<alt (/.f64 (*.f64 a t) z)>
#<alt (/.f64 (*.f64 a t) z)>
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#<alt (/.f64 (*.f64 a t) z)>
#<alt (/.f64 (*.f64 a t) z)>
#<alt (/.f64 (*.f64 a t) z)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
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#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
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#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
z
@0
(* z (/ x (sqrt (- (pow z 2) (* t a)))))
1.0ms
z
@0
(* a (/ t z))
1.0ms
t
@inf
(/ t z)
1.0ms
t
@inf
(* z (/ x (sqrt (- (pow z 2) (* t a)))))
1.0ms
a
@inf
(* z (/ x (sqrt (- (pow z 2) (* t a)))))

rewrite189.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
902×log1p-expm1-u
803×prod-diff
172×associate-*r*
170×expm1-log1p-u
162×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029202
1384190
24985190
Stop Event
node limit
Counts
7 → 173
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))
(sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
(*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 a (/.f64 t z))
(*.f64 x y)
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
(/.f64 t z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 t a) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 z z (*.f64 t a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t a) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 t a) (fma.f64 z z (*.f64 t a))))))
(pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
(fabs.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 t a) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 z z (*.f64 t a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t a) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 t a) (fma.f64 z z (*.f64 t a))))))
(pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)))) #s(literal 1 binary64))
(/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) (*.f64 z x)))
(/.f64 (*.f64 z x) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(/.f64 (neg.f64 (*.f64 z x)) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(/.f64 (*.f64 z (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(/.f64 (/.f64 (*.f64 z x) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)))))
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))))
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))))
(exp.f64 (log.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t (/.f64 a z)))) #s(literal 1 binary64))
(/.f64 a (/.f64 z t))
(/.f64 (*.f64 t a) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t a)))
(/.f64 (*.f64 t (neg.f64 a)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 t a) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 t a) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 t a) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (*.f64 t (/.f64 a z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t (/.f64 a z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t (/.f64 a z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 t (/.f64 a z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 t (/.f64 a z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 t z)) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 a z)))))
(cbrt.f64 (pow.f64 (*.f64 t (/.f64 a z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 t z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 t a) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 t (/.f64 a z))))
(log1p.f64 (expm1.f64 (*.f64 t (/.f64 a z))))
(exp.f64 (log.f64 (*.f64 t (/.f64 a z))))
(exp.f64 (*.f64 (log.f64 (*.f64 t (/.f64 a z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 z t))
(/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) t) z)
(/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t a)) z)
(/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (neg.f64 t)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 t a) #s(literal -1/2 binary64)) z)
(pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) (/.f64 t z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 t z))) #s(literal 1 binary64))
(*.f64 t (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 t z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 t z))
(*.f64 (cbrt.f64 (/.f64 t z)) (cbrt.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t z)))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (/.f64 (cbrt.f64 t) z))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 t z)) (sqrt.f64 (/.f64 t z)))
(*.f64 (sqrt.f64 t) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) t)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 t (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 t) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 t) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 z)))
(pow.f64 (/.f64 t z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 t z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z t) #s(literal -1 binary64))
(neg.f64 (/.f64 t (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 t) z))
(sqrt.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 t z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 t z))))
(cbrt.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 t z)))
(log1p.f64 (expm1.f64 (/.f64 t z)))
(exp.f64 (log.f64 (/.f64 t z)))
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal 1 binary64)))

simplify337.0ms (2.6%)

Algorithm
egg-herbie
Rules
782×associate-*r*
625×associate-*l*
533×fma-define
274×distribute-rgt-in
274×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077621140
1217820653
Stop Event
node limit
Counts
365 → 346
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))))))
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z
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z
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(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
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z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))))))))
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))
(+.f64 z (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) t) (pow.f64 z #s(literal 3 binary64)))))))
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(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 t #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))))
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z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))
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(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(/.f64 (/.f64 (*.f64 z x) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)))))
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))))
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))))
(exp.f64 (log.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t (/.f64 a z)))) #s(literal 1 binary64))
(/.f64 a (/.f64 z t))
(/.f64 (*.f64 t a) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t a)))
(/.f64 (*.f64 t (neg.f64 a)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 t a) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 t a) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 t a) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (*.f64 t (/.f64 a z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t (/.f64 a z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t (/.f64 a z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 t (/.f64 a z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 t (/.f64 a z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 t z)) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 a z)))))
(cbrt.f64 (pow.f64 (*.f64 t (/.f64 a z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 t z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 t a) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 t (/.f64 a z))))
(log1p.f64 (expm1.f64 (*.f64 t (/.f64 a z))))
(exp.f64 (log.f64 (*.f64 t (/.f64 a z))))
(exp.f64 (*.f64 (log.f64 (*.f64 t (/.f64 a z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 z t))
(/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) t) z)
(/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z t))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t a)) z)
(/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (neg.f64 t)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 t a) #s(literal -1/2 binary64)) z)
(pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) (/.f64 t z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 t z))) #s(literal 1 binary64))
(*.f64 t (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 t z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 t z))
(*.f64 (cbrt.f64 (/.f64 t z)) (cbrt.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t z)))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (/.f64 (cbrt.f64 t) z))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 t z)) (sqrt.f64 (/.f64 t z)))
(*.f64 (sqrt.f64 t) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) t)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 t (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 t) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 t) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 z)))
(pow.f64 (/.f64 t z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 t z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 t z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z t) #s(literal -1 binary64))
(neg.f64 (/.f64 t (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 t) z))
(sqrt.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 t z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 t z))))
(cbrt.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 t z)))
(log1p.f64 (expm1.f64 (/.f64 t z)))
(exp.f64 (log.f64 (/.f64 t z)))
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))))
(*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))))))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 z #s(literal 2 binary64)))))) (neg.f64 z))
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z
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(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))
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(*.f64 (sqrt.f64 (*.f64 a t)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
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z
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z
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z
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z
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eval135.0ms (1%)

Compiler

Compiled 12880 to 7616 computations (40.9% saved)

prune137.0ms (1.1%)

Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New4537460
Fresh01111
Picked145
Done033
Total45425479
Accuracy
97.0%
Counts
479 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))
69.4%
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
66.4%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
67.5%
(/.f64 (*.f64 (*.f64 x y) z) z)
63.9%
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
54.4%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
78.5%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))))
76.2%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t a)))))))
78.5%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
66.4%
(*.f64 (*.f64 x y) (/.f64 z (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))))
70.0%
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
67.0%
(*.f64 (*.f64 x y) (/.f64 z (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))))
57.6%
(*.f64 (*.f64 x y) (/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))))
76.4%
(*.f64 (expm1.f64 (log1p.f64 (*.f64 x y))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
66.6%
(*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
75.4%
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t)))))
75.4%
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 t) (sqrt.f64 z))))))))
73.5%
(*.f64 y (/.f64 (*.f64 x z) z))
62.6%
(*.f64 y (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
62.5%
(*.f64 y (*.f64 z (*.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64)))))
72.3%
(*.f64 y x)
76.3%
(*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))))
70.7%
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
49.1%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
63.5%
(exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
Compiler

Compiled 887 to 601 computations (32.2% saved)

localize706.0ms (5.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff6592
(+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
cost-diff6592
(/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))))
cost-diff6592
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))
accuracy75.1%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
accuracy74.7%
(/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
accuracy73.0%
(cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
accuracy67.1%
(sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
Rules
716×distribute-lft-neg-in
654×neg-mul-1
640×distribute-rgt-neg-in
599×fma-define
596×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0441042
1911022
21901022
34221022
414481022
534301022
657081022
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))))
(*.f64 x y)
x
y
(/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))))
z
(+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))
(/.f64 t z)
t
(*.f64 a #s(literal -1/2 binary64))
a
#s(literal -1/2 binary64)
#s(literal 3 binary64)
(*.f64 y (/.f64 (*.f64 x z) z))
y
(/.f64 (*.f64 x z) z)
(*.f64 x z)
x
z
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
#s(literal -1/2 binary64)
(*.f64 a (/.f64 t z))
a
(/.f64 t z)
t
(*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
z
(/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 x y)
x
y
(sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
(-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))
(pow.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 t a)
t
a
(sqrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
(pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64))
(*.f64 z (*.f64 x y))
z
(*.f64 x y)
x
y
#s(literal 2 binary64)
(-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))
(pow.f64 z #s(literal 2 binary64))
(*.f64 t a)
t
a
Outputs
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))))
(*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 x (*.f64 y (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 t (*.f64 a (/.f64 #s(literal -1/2 binary64) z)) z)))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 a z) z)))
(*.f64 x y)
x
y
(/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))))
(/.f64 z (+.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))
(/.f64 z (fma.f64 t (*.f64 a (/.f64 #s(literal -1/2 binary64) z)) z))
(/.f64 z (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 a z) z))
z
(+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(+.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 t (*.f64 a (/.f64 #s(literal -1/2 binary64) z)) z)
(fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 a z) z)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))
(*.f64 t (/.f64 (*.f64 a #s(literal -1/2 binary64)) z))
(*.f64 t (*.f64 a (/.f64 #s(literal -1/2 binary64) z)))
(cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(cbrt.f64 (*.f64 t (/.f64 (*.f64 a #s(literal -1/2 binary64)) z)))
(cbrt.f64 (*.f64 t (*.f64 a (/.f64 #s(literal -1/2 binary64) z))))
(*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))
(*.f64 t (/.f64 (*.f64 a #s(literal -1/2 binary64)) z))
(*.f64 t (*.f64 a (/.f64 #s(literal -1/2 binary64) z)))
(/.f64 t z)
t
(*.f64 a #s(literal -1/2 binary64))
a
#s(literal -1/2 binary64)
#s(literal 3 binary64)
(*.f64 y (/.f64 (*.f64 x z) z))
(*.f64 x y)
y
(/.f64 (*.f64 x z) z)
x
(*.f64 x z)
x
z
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
(*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 x (*.f64 y (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 t (*.f64 a (/.f64 #s(literal -1/2 binary64) z)) z)))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 a z) z)))
(*.f64 (*.f64 x y) z)
(*.f64 x (*.f64 y z))
(*.f64 x y)
x
y
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(+.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 t (*.f64 a (/.f64 #s(literal -1/2 binary64) z)) z)
(fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 a z) z)
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
(*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))
(*.f64 t (/.f64 (*.f64 a #s(literal -1/2 binary64)) z))
(*.f64 t (*.f64 a (/.f64 #s(literal -1/2 binary64) z)))
#s(literal -1/2 binary64)
(*.f64 a (/.f64 t z))
(*.f64 (/.f64 t z) a)
(*.f64 t (/.f64 a z))
a
(/.f64 t z)
t
(*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (*.f64 x z) (/.f64 y (sqrt.f64 (fma.f64 a (neg.f64 t) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
z
(/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 y (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 x (/.f64 y (sqrt.f64 (fma.f64 a (neg.f64 t) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x y)
x
y
(sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
(sqrt.f64 (fma.f64 a (neg.f64 t) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))
(fma.f64 a (neg.f64 t) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 t a)
t
a
(sqrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 a (neg.f64 t) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
(/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
(/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 a (neg.f64 t) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64))
(*.f64 z (*.f64 x y))
(*.f64 x (*.f64 y z))
z
(*.f64 x y)
x
y
#s(literal 2 binary64)
(-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))
(fma.f64 a (neg.f64 t) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 t a)
t
a
Results
261.0ms256×0valid
Compiler

Compiled 283 to 108 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-pow: 54.0ms (35.3% of total)
ival-mult: 44.0ms (28.7% of total)
ival-div: 18.0ms (11.8% of total)
ival-cbrt: 9.0ms (5.9% of total)
ival-sub: 9.0ms (5.9% of total)
ival-sqrt: 9.0ms (5.9% of total)
ival-add: 7.0ms (4.6% of total)
const: 4.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series288.0ms (2.2%)

Counts
7 → 324
Calls
Call 1
Inputs
#<alt (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))>
#<alt (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))>
#<alt (sqrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))>
#<alt (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))))>
#<alt (/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))))>
#<alt (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))>
Outputs
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))>
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#<alt (*.f64 a (+.f64 (/.f64 z a) (/.f64 (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) z)))>
#<alt (*.f64 a (+.f64 (/.f64 z a) (/.f64 (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) z)))>
#<alt (*.f64 a (+.f64 (/.f64 z a) (/.f64 (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z a)) (/.f64 (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z a)) (/.f64 (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z a)) (/.f64 (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z))))>
Calls

81 calls:

TimeVariablePointExpression
125.0ms
t
@0
(cbrt (* (/ t z) (* a -1/2)))
40.0ms
y
@-inf
(/ (pow (* z (* x y)) 2) (- (pow z 2) (* t a)))
20.0ms
x
@0
(* (* x y) (/ z (+ z (pow (cbrt (* (/ t z) (* a -1/2))) 3))))
8.0ms
t
@inf
(cbrt (* (/ t z) (* a -1/2)))
5.0ms
z
@-inf
(cbrt (* (/ t z) (* a -1/2)))

rewrite234.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
856×log1p-expm1-u
234×associate-*r*
212×expm1-log1p-u
207×add-cube-cbrt
205×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033333
1488315
26756315
Stop Event
node limit
Counts
7 → 260
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))))
(/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64))))
(+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 t z)) (cbrt.f64 (*.f64 a #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 t z)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 t z) a) #s(literal 1/3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 t z) a)) (cbrt.f64 #s(literal -1/2 binary64)))
(/.f64 (cbrt.f64 (*.f64 t (*.f64 a #s(literal -1/2 binary64)))) (cbrt.f64 z))
(pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 y z)) (/.f64 (*.f64 x (*.f64 y z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (*.f64 x (*.f64 y z)) (*.f64 (*.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (*.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (sqrt.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) (sqrt.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (/.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 y z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (/.f64 (*.f64 x (*.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 y z)) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 4 binary64))) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))) (cbrt.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t a) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 t a) (fma.f64 z z (*.f64 t a)))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 t a) #s(literal 2 binary64)))) (fma.f64 z z (*.f64 t a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (*.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) (/.f64 (cbrt.f64 z) (sqrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (*.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z))))
(*.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (-.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(neg.f64 (/.f64 (neg.f64 z) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(sqrt.f64 (pow.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))))
(cbrt.f64 (pow.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(log1p.f64 (expm1.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(exp.f64 (log.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) (sqrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z))) (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z))
(pow.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(exp.f64 (log.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 t z) z)
(fma.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) z)
(fma.f64 (*.f64 (/.f64 t z) a) #s(literal -1/2 binary64) z)

simplify497.0ms (3.8%)

Algorithm
egg-herbie
Rules
681×fma-define
525×*-commutative
302×distribute-rgt-in
300×distribute-lft-in
210×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0145944315
1443242302
Stop Event
node limit
Counts
584 → 667
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 a t)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 a t)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 a t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 a t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 a (*.f64 t (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))))
(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 z #s(literal 4 binary64))))))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
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(*.f64 x y)
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
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(/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 12 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 9 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))))))
#s(literal 1 binary64)
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(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 9 binary64)))) (pow.f64 z #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1 binary64)
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(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 9 binary64)))) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 a (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 t (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 9 binary64)))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64))) (pow.f64 z #s(literal 4 binary64)))))) (/.f64 (*.f64 a (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) t)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 9 binary64)))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))))) t)
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(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
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#s(literal 1 binary64)
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(/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
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z
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z
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z
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z
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(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z a)) (/.f64 (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z))))
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(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 t z)) (cbrt.f64 (*.f64 a #s(literal -1/2 binary64))))
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(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
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(/.f64 (cbrt.f64 (*.f64 t (*.f64 a #s(literal -1/2 binary64)))) (cbrt.f64 z))
(pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))
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(log1p.f64 (expm1.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(exp.f64 (log.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 t z) z)
(fma.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) z)
(fma.f64 (*.f64 (/.f64 t z) a) #s(literal -1/2 binary64) z)
Outputs
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 a t) z)) (cbrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 t z))) (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 a t)))
(neg.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) a) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) t)))
(/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 a (neg.f64 t)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 a t)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) a) (/.f64 (pow.f64 y #s(literal 2 binary64)) t)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64))) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 a t))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 a t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) a) (/.f64 (pow.f64 y #s(literal 2 binary64)) t)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64))) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 a (neg.f64 t)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 a t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) a) (/.f64 (pow.f64 y #s(literal 2 binary64)) t)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 t #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (neg.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 a (neg.f64 t)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 a (*.f64 t (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)) (*.f64 a (/.f64 (*.f64 t (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 a (/.f64 (*.f64 t (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (*.f64 a (/.f64 (*.f64 t (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))))
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#s(literal 1 binary64)
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(fma.f64 a (/.f64 (*.f64 t #s(literal 1/2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (*.f64 t #s(literal -1/2 binary64))))
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(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 t (pow.f64 a #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) t)
(/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 t (pow.f64 a #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64))))) t)
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(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 12 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 9 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 t (pow.f64 a #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)))))) t)
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(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
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(/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) a)) (*.f64 t #s(literal 1/2 binary64)))
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(/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 t (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)))))) (neg.f64 t))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (/.f64 t z) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) z)))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 3 binary64))) (fma.f64 z z (*.f64 (/.f64 t z) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))) (-.f64 z (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))) (+.f64 z (*.f64 a (*.f64 t (/.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (/.f64 t z) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) z)))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 3 binary64))) (fma.f64 z z (*.f64 (/.f64 t z) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z))))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 2 binary64)) (*.f64 z (+.f64 z (*.f64 a (*.f64 t (/.f64 #s(literal 1/2 binary64) z)))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))) (-.f64 z (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))) (+.f64 z (*.f64 a (*.f64 t (/.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 3 binary64)))) (fma.f64 z z (*.f64 (/.f64 t z) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) z))))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (*.f64 (/.f64 t z) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))) (neg.f64 (+.f64 (neg.f64 z) (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)) z))
(pow.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 3 binary64))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(pow.f64 (pow.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 2 binary64))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
(log.f64 (exp.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z))))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z) #s(literal 3 binary64)))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(exp.f64 (log.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 t z) z)
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(fma.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64)) z)
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) z)
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) z)
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) z)
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)
(fma.f64 (*.f64 (/.f64 t z) a) #s(literal -1/2 binary64) z)
(fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)
(fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z)

eval346.0ms (2.6%)

Compiler

Compiled 22372 to 13770 computations (38.4% saved)

prune163.0ms (1.2%)

Pruning

29 alts after pruning (18 fresh and 11 done)

PrunedKeptTotal
New6617668
Fresh21113
Picked145
Done077
Total66429693
Accuracy
97.0%
Counts
693 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.1%
(/.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 a (*.f64 t #s(literal -1/2 binary64))))
67.9%
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))
69.4%
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
66.4%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
67.5%
(/.f64 (*.f64 (*.f64 x y) z) z)
63.9%
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
54.4%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
20.0%
(*.f64 (*.f64 x y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (*.f64 t #s(literal -1/2 binary64)))))
20.1%
(*.f64 (*.f64 x y) (/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) a)) (*.f64 t #s(literal 1/2 binary64))))
57.0%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))))
78.5%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))))
76.2%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64))))))))
78.5%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
66.4%
(*.f64 (*.f64 x y) (/.f64 z (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))))
70.0%
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
67.0%
(*.f64 (*.f64 x y) (/.f64 z (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))))
57.6%
(*.f64 (*.f64 x y) (/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))))
76.4%
(*.f64 (expm1.f64 (log1p.f64 (*.f64 x y))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
66.6%
(*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
75.4%
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t)))))
73.5%
(*.f64 y (/.f64 (*.f64 x z) z))
62.6%
(*.f64 y (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
62.5%
(*.f64 y (*.f64 z (*.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64)))))
72.3%
(*.f64 y x)
76.3%
(*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))))
70.7%
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
34.9%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 a (neg.f64 t))))
70.9%
(exp.f64 (log.f64 (*.f64 (*.f64 z x) (/.f64 y (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))))
63.5%
(exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
Compiler

Compiled 947 to 651 computations (31.3% saved)

localize660.0ms (5.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff6528
(*.f64 (expm1.f64 (log1p.f64 (*.f64 x y))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
cost-diff6656
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
cost-diff12800
(expm1.f64 (log1p.f64 (*.f64 x y)))
cost-diff12928
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
accuracy88.5%
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
accuracy84.5%
(/.f64 (*.f64 (*.f64 x y) z) z)
accuracy67.1%
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
accuracy64.9%
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
Rules
763×fma-define
702×fma-neg
443×associate-/l/
395×div-sub
333×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0441186
1931148
21931124
34111064
49841064
523851064
654671064
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (expm1.f64 (log1p.f64 (*.f64 x y))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (*.f64 x y))
(*.f64 x y)
x
y
(/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
#s(literal -1/2 binary64)
(*.f64 a (/.f64 t z))
a
(/.f64 t z)
t
(/.f64 (*.f64 (*.f64 x y) z) z)
(*.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64))))))))
(*.f64 x y)
x
y
(/.f64 z (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64)))))))
z
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64)))))
#s(literal 1 binary64)
(/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64))))
(*.f64 t (*.f64 a #s(literal -1/2 binary64)))
t
(*.f64 a #s(literal -1/2 binary64))
a
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(-.f64 (*.f64 z z) (*.f64 t a))
(*.f64 z z)
(*.f64 t a)
t
a
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 1 binary64)
(/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
#s(literal -1/2 binary64)
(*.f64 a (/.f64 t z))
a
(/.f64 t z)
t
Outputs
(*.f64 (expm1.f64 (log1p.f64 (*.f64 x y))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))) (expm1.f64 (log1p.f64 (*.f64 x y))))
(*.f64 (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)) (expm1.f64 (log1p.f64 (*.f64 x y))))
(*.f64 (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)) (+.f64 (*.f64 x y) #s(literal 0 binary64)))
(*.f64 x (*.f64 y (/.f64 z (fma.f64 a (/.f64 #s(literal -1/2 binary64) (/.f64 z t)) z))))
(*.f64 (*.f64 x y) (/.f64 z (fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) z)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(*.f64 x y)
(log1p.f64 (*.f64 x y))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
x
y
(/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
(/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z))
(/.f64 z (fma.f64 a (/.f64 #s(literal -1/2 binary64) (/.f64 z t)) z))
(/.f64 z (fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) z))
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)
(fma.f64 a (/.f64 #s(literal -1/2 binary64) (/.f64 z t)) z)
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) z)
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
(/.f64 a (/.f64 (/.f64 z t) #s(literal -1/2 binary64)))
(*.f64 (*.f64 a t) (/.f64 #s(literal -1/2 binary64) z))
#s(literal -1/2 binary64)
(*.f64 a (/.f64 t z))
a
(/.f64 t z)
t
(/.f64 (*.f64 (*.f64 x y) z) z)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(*.f64 x y)
(*.f64 (*.f64 x y) z)
(*.f64 x (*.f64 y z))
(*.f64 y (*.f64 x z))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
x
y
z
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64))))))))
(*.f64 (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))) (expm1.f64 (log1p.f64 (*.f64 x y))))
(*.f64 (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)) (expm1.f64 (log1p.f64 (*.f64 x y))))
(*.f64 (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)) (+.f64 (*.f64 x y) #s(literal 0 binary64)))
(*.f64 x (*.f64 y (/.f64 z (fma.f64 a (/.f64 #s(literal -1/2 binary64) (/.f64 z t)) z))))
(*.f64 (*.f64 x y) (/.f64 z (fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) z)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
x
y
(/.f64 z (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
(/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z))
(/.f64 z (fma.f64 a (/.f64 #s(literal -1/2 binary64) (/.f64 z t)) z))
(/.f64 z (fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) z))
z
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64))))))
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)
(fma.f64 a (/.f64 #s(literal -1/2 binary64) (/.f64 z t)) z)
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
(/.f64 a (/.f64 (/.f64 z t) #s(literal -1/2 binary64)))
(*.f64 (*.f64 a t) (/.f64 #s(literal -1/2 binary64) z))
#s(literal 1 binary64)
(/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64))))
(/.f64 z (*.f64 t (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 z (*.f64 a (*.f64 t #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 z t) #s(literal -1/2 binary64)) a)
(/.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a t)))
(*.f64 t (*.f64 a #s(literal -1/2 binary64)))
(*.f64 t (*.f64 #s(literal -1/2 binary64) a))
(*.f64 a (*.f64 t #s(literal -1/2 binary64)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) t))
(*.f64 #s(literal -1/2 binary64) (*.f64 a t))
t
(*.f64 a #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) a)
a
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))))
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))
(*.f64 y (*.f64 (/.f64 z (sqrt.f64 (fma.f64 a (neg.f64 t) (*.f64 z z)))) x))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))))))
(*.f64 z (*.f64 y (/.f64 x (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 a t))))))
(*.f64 x (*.f64 y z))
(*.f64 y (*.f64 x z))
x
(*.f64 y z)
y
z
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))
(sqrt.f64 (fma.f64 a (neg.f64 t) (*.f64 z z)))
(-.f64 (*.f64 z z) (*.f64 t a))
(-.f64 (*.f64 z z) (*.f64 a t))
(fma.f64 a (neg.f64 t) (*.f64 z z))
(*.f64 z z)
(*.f64 t a)
(*.f64 a t)
t
a
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))) (expm1.f64 (log1p.f64 (*.f64 x y))))
(*.f64 (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)) (expm1.f64 (log1p.f64 (*.f64 x y))))
(*.f64 (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)) (+.f64 (*.f64 x y) #s(literal 0 binary64)))
(*.f64 x (*.f64 y (/.f64 z (fma.f64 a (/.f64 #s(literal -1/2 binary64) (/.f64 z t)) z))))
(*.f64 (*.f64 x y) (/.f64 z (fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(*.f64 x y)
(exp.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(log1p.f64 (*.f64 x y))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
x
y
#s(literal 1 binary64)
(/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
(/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z))
(/.f64 z (fma.f64 a (/.f64 #s(literal -1/2 binary64) (/.f64 z t)) z))
(/.f64 z (fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) z))
z
(+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)
(fma.f64 a (/.f64 #s(literal -1/2 binary64) (/.f64 z t)) z)
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 t z)) z)
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))
(/.f64 a (/.f64 (/.f64 z t) #s(literal -1/2 binary64)))
(*.f64 (*.f64 a t) (/.f64 #s(literal -1/2 binary64) z))
#s(literal -1/2 binary64)
(*.f64 a (/.f64 t z))
a
(/.f64 t z)
t
Results
95.0ms131×0valid
398.0ms125×1valid
Compiler

Compiled 297 to 97 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-mult: 85.0ms (41.6% of total)
ival-div: 48.0ms (23.5% of total)
ival-add: 20.0ms (9.8% of total)
backward-pass: 18.0ms (8.8% of total)
ival-sub: 9.0ms (4.4% of total)
ival-exp: 8.0ms (3.9% of total)
const: 5.0ms (2.4% of total)
ival-log1p: 5.0ms (2.4% of total)
ival-sqrt: 3.0ms (1.5% of total)
ival-expm1: 3.0ms (1.5% of total)

series42.0ms (0.3%)

Counts
6 → 264
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 (*.f64 x y) z) z)>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))>
#<alt (expm1.f64 (log1p.f64 (*.f64 x y)))>
#<alt (*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))>
#<alt (*.f64 (expm1.f64 (log1p.f64 (*.f64 x y))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))>
Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (/.f64 (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x y) (sqrt.f64 #s(literal -1 binary64)))))))))>
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#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 a t)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x y) (*.f64 a t)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x y) (*.f64 a t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x y) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x y) (*.f64 a t))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x y) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 x y))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 x y))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 x y))) (pow.f64 z #s(literal 4 binary64))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 x y))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 x y))) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 x y))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y))>
#<alt (+.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 x y))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 x y))>
#<alt (+.f64 (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 x y))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 x y)) (pow.f64 z #s(literal 4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 a t)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 a (pow.f64 t #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) t))) a)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) t))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 a (pow.f64 t #s(literal 2 binary64)))))) a)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 8 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 4 binary64))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) t))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 a (pow.f64 t #s(literal 2 binary64))))) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64))))))) a)>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 a t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) t)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 a (pow.f64 t #s(literal 2 binary64)))))) a))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))) (*.f64 a (pow.f64 t #s(literal 3 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (pow.f64 t #s(literal 2 binary64))))) a)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) t))) a))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 8 binary64)))) (*.f64 a (pow.f64 t #s(literal 4 binary64))))) (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))) (pow.f64 t #s(literal 3 binary64))))) a)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (pow.f64 t #s(literal 2 binary64))))) a)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) t))) a))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y))>
#<alt (+.f64 (*.f64 t (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 x y))>
#<alt (+.f64 (*.f64 t (-.f64 (*.f64 t (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x y)) (pow.f64 z #s(literal 4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 a t)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) t))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) a))) t)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) a))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) t)))) t)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 8 binary64)))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) a))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) t))) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 2 binary64))))))) t)>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 a t)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) a)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) t)))) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (pow.f64 a #s(literal 2 binary64))))) t)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) a))) t))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 8 binary64)))) (*.f64 (pow.f64 a #s(literal 4 binary64)) t))) (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64)))) (pow.f64 a #s(literal 3 binary64))))) t)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (pow.f64 a #s(literal 2 binary64))))) t)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) a))) t))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
3.0ms
a
@inf
(* (- (exp (log (+ 1 (* x y)))) 1) (/ z (+ z (* -1/2 (* a (/ t z))))))
1.0ms
x
@0
(* (- (exp (log (+ 1 (* x y)))) 1) (/ z (+ z (* -1/2 (* a (/ t z))))))
1.0ms
z
@0
(* (- (exp (log (+ 1 (* x y)))) 1) (/ z (+ z (* -1/2 (* a (/ t z))))))
1.0ms
t
@inf
(* (- (exp (log (+ 1 (* x y)))) 1) (/ z (+ z (* -1/2 (* a (/ t z))))))

rewrite707.0ms (5.4%)

Algorithm
batch-egg-rewrite
Rules
433×log1p-expm1-u
244×associate-*r*
238×expm1-log1p-u
232×add-exp-log
232×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037226
1565218
27772218
Stop Event
node limit
Counts
6 → 406
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (expm1.f64 (log1p.f64 (*.f64 x y))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
Outputs
(+.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 x (/.f64 (*.f64 y z) z))
(*.f64 x (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 z (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 y z) (/.f64 x z))
(*.f64 (*.f64 y z) (*.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 z x)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z x))) z))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 z x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 z x))) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z x))) z))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 z x))) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 x (neg.f64 (*.f64 y z))) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 z x)))
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 x y) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y (*.f64 z x)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 y z) z))
(*.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 z x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (*.f64 z x))) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 z x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y (*.f64 z x))) z))
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))))
(exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))) #s(literal 1 binary64)))

simplify486.0ms (3.7%)

Algorithm
egg-herbie
Rules
637×times-frac
627×fma-define
476×associate-*r/
410×associate-*l/
362×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094938911
1293238232
Stop Event
node limit
Counts
670 → 387
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (/.f64 (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x y) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x y) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (/.f64 (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 a (*.f64 t (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64)))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (/.f64 (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64)))))))))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))))))) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))) (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))))))) (pow.f64 z #s(literal 6 binary64)))))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y))
(+.f64 (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 x y))
(+.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 x y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 t (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 z #s(literal 8 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 2 binary64)))))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64))))))))))))) (*.f64 x y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 7 binary64)))) (/.f64 (*.f64 x (*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 t (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (*.f64 x (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 t (pow.f64 z #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 5 binary64)))) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))) (pow.f64 t #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 t (*.f64 x y))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 x y))
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(pow.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z))))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))))
(exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))) #s(literal 1 binary64)))
Outputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t)))))
(*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a t))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) t)) (*.f64 x (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) t)) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (*.f64 x (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (/.f64 (*.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x y) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 z (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) t)) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (*.f64 x (/.f64 (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (/.f64 y (sqrt.f64 #s(literal -1 binary64))))))))))
(*.f64 z (fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (*.f64 a t)) (*.f64 x (/.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (pow.f64 t #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 x (/.f64 y (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))))
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z) #s(literal 3 binary64))))
(*.f64 y (/.f64 (*.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z) z)))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))))
(*.f64 y (/.f64 (*.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))
(exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))))
(*.f64 y (/.f64 (*.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))) #s(literal 1 binary64)))
(*.f64 y (/.f64 (*.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)) z)))
(*.f64 x (/.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) (*.f64 t (/.f64 a z)) z)))

eval194.0ms (1.5%)

Compiler

Compiled 16988 to 9937 computations (41.5% saved)

prune446.0ms (3.4%)

Pruning

34 alts after pruning (21 fresh and 13 done)

PrunedKeptTotal
New49511506
Fresh31013
Picked145
Done2911
Total50134535
Accuracy
97.0%
Counts
535 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.1%
(/.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 a (*.f64 t #s(literal -1/2 binary64))))
69.4%
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
66.4%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
67.5%
(/.f64 (*.f64 (*.f64 x y) z) z)
57.7%
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))
63.9%
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
56.8%
(/.f64 (*.f64 x (*.f64 y z)) z)
56.5%
(-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
55.9%
(*.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
56.3%
(*.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
67.7%
(*.f64 (/.f64 (*.f64 y (*.f64 z x)) z) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
56.5%
(*.f64 (+.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
56.3%
(*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
53.0%
(*.f64 (*.f64 (*.f64 y z) (/.f64 x z)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
64.6%
(*.f64 (*.f64 y z) (*.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64))))
20.1%
(*.f64 (*.f64 x y) (/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) a)) (*.f64 t #s(literal 1/2 binary64))))
57.0%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))))
76.2%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64))))))))
78.5%
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
66.4%
(*.f64 (*.f64 x y) (/.f64 z (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))))
70.0%
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
67.0%
(*.f64 (*.f64 x y) (/.f64 z (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))))
76.4%
(*.f64 (expm1.f64 (log1p.f64 (*.f64 x y))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
66.6%
(*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
75.4%
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t)))))
73.5%
(*.f64 y (/.f64 (*.f64 x z) z))
62.6%
(*.f64 y (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
72.3%
(*.f64 y x)
76.3%
(*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))))
70.7%
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
18.8%
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (/.f64 y t) (/.f64 (pow.f64 z #s(literal 2 binary64)) a))))
34.9%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 a (neg.f64 t))))
70.9%
(exp.f64 (log.f64 (*.f64 (*.f64 z x) (/.f64 y (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))))
63.5%
(exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
Compiler

Compiled 1416 to 800 computations (43.5% saved)

regimes224.0ms (1.7%)

Counts
45 → 2
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 y (/.f64 (*.f64 x z) z))
(-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 y z)) z)
(/.f64 (*.f64 (*.f64 x y) z) z)
(*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))))
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t)))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t a)))))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64))))))))
(*.f64 (*.f64 (*.f64 y z) (/.f64 x z)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (+.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (/.f64 (*.f64 y (*.f64 z x)) z) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (/.f64 y t) (/.f64 (pow.f64 z #s(literal 2 binary64)) a))))
(*.f64 (*.f64 x y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (*.f64 t #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 a (*.f64 t #s(literal -1/2 binary64))))
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))
(*.f64 (*.f64 x y) (/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) a)) (*.f64 t #s(literal 1/2 binary64))))
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 a (neg.f64 t))))
(*.f64 y (*.f64 z (/.f64 x (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))))
(*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))
(*.f64 y (*.f64 z (*.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 y z) (*.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal -1/2 binary64))))
(*.f64 (expm1.f64 (log1p.f64 (*.f64 x y))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (cbrt.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)))) #s(literal 3 binary64)))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (pow.f64 (pow.f64 (*.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(exp.f64 (log.f64 (*.f64 (*.f64 z x) (/.f64 y (fma.f64 (/.f64 t z) (*.f64 a #s(literal -1/2 binary64)) z)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))))
(*.f64 (*.f64 x y) (/.f64 z (cbrt.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/2 binary64)))))
(*.f64 (*.f64 x y) (/.f64 z (exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a))) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)))))))
(*.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 t) (sqrt.f64 z))))))))
(*.f64 (*.f64 x y) (/.f64 z (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 t a)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))))
Outputs
(*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
Calls

8 calls:

41.0ms
a
33.0ms
t
32.0ms
x
32.0ms
y
25.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
80.7%3x
81.0%3y
95.3%2z
83.8%5t
85.9%3a
94.2%3(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
84.0%5(*.f64 x y)
87.8%2(*.f64 t a)
Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes131.0ms (1%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 y (/.f64 (*.f64 x z) z))
(-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 y z)) z)
(/.f64 (*.f64 (*.f64 x y) z) z)
(*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))))
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t)))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))
(/.f64 (*.f64 (*.f64 x y) z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t a)))))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t (*.f64 a #s(literal -1/2 binary64))))))))
(*.f64 (*.f64 (*.f64 y z) (/.f64 x z)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (+.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (/.f64 (*.f64 y (*.f64 z x)) z) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (/.f64 y t) (/.f64 (pow.f64 z #s(literal 2 binary64)) a))))
(*.f64 (*.f64 x y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 a (*.f64 t #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 a (*.f64 t #s(literal -1/2 binary64))))
Outputs
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
Calls

3 calls:

117.0ms
(*.f64 t a)
7.0ms
a
6.0ms
z
Results
AccuracySegmentsBranch
78.5%1a
78.5%1(*.f64 t a)
78.5%1z
Compiler

Compiled 20 to 16 computations (20% saved)

regimes23.0ms (0.2%)

Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 y (/.f64 (*.f64 x z) z))
(-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 y z)) z)
(/.f64 (*.f64 (*.f64 x y) z) z)
(*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))))
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 y (/.f64 (*.f64 x z) (+.f64 z (*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) z) t)))))
Outputs
(*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z))))))
(*.f64 y x)
Calls

6 calls:

6.0ms
y
5.0ms
z
3.0ms
t
3.0ms
a
3.0ms
x
Results
AccuracySegmentsBranch
76.3%1x
76.3%1t
76.3%1(*.f64 x y)
78.1%2y
76.3%1a
78.5%2z
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes19.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 y (/.f64 (*.f64 x z) z))
(-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 y z)) z)
(/.f64 (*.f64 (*.f64 x y) z) z)
Outputs
(/.f64 (*.f64 (*.f64 x y) z) z)
(*.f64 y x)
Calls

6 calls:

4.0ms
t
4.0ms
y
3.0ms
z
3.0ms
(*.f64 x y)
2.0ms
x
Results
AccuracySegmentsBranch
75.5%2t
73.5%1a
76.1%2(*.f64 x y)
73.5%1x
76.1%2y
76.2%2z
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes3.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 y (/.f64 (*.f64 x z) z))
(-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 y z)) z)
Outputs
(/.f64 (*.f64 x (*.f64 y z)) z)
(*.f64 y x)
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
76.2%2z
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes12.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 y (/.f64 (*.f64 x z) z))
(-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 y x)
Calls

3 calls:

6.0ms
(*.f64 x y)
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
75.5%2y
75.5%2(*.f64 x y)
75.6%2z
Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 y (/.f64 (*.f64 x z) z))
Outputs
(*.f64 y (/.f64 (*.f64 x z) z))
(*.f64 y x)
Calls

2 calls:

2.0ms
t
1.0ms
z
Results
AccuracySegmentsBranch
75.5%2t
73.5%1z
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 y x)
Outputs
(*.f64 y x)
Calls

5 calls:

0.0ms
t
0.0ms
x
0.0ms
y
0.0ms
a
0.0ms
z
Results
AccuracySegmentsBranch
72.3%1a
72.3%1x
72.3%1z
72.3%1y
72.3%1t
Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch65.0ms (0.5%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
63.0ms
6.518840519394038e+131
5.719360457830729e+134
Results
7.0ms80×0valid
0.0ms0invalid
Compiler

Compiled 232 to 154 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (49.6% of total)
ival-div: 1.0ms (24.8% of total)
ival-sqrt: 1.0ms (24.8% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2.5455786178946973e+61
5.587379581712975e+61
Results
7.0ms80×0valid
1.0ms11×0invalid
Compiler

Compiled 177 to 124 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (48.3% of total)
ival-sub: 1.0ms (24.2% of total)
ival-div: 1.0ms (24.2% of total)
ival-sqrt: 1.0ms (24.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
12.0ms
1.3785183976302583e-48
9.153404680443339e-48
Results
8.0ms80×0valid
1.0ms11×0invalid
Compiler

Compiled 137 to 99 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (38.2% of total)
ival-sub: 1.0ms (19.1% of total)
ival-div: 1.0ms (19.1% of total)
ival-sqrt: 1.0ms (19.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.3785183976302583e-48
9.153404680443339e-48
Results
9.0ms96×0valid
1.0ms18×0invalid
Compiler

Compiled 159 to 115 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (49.2% of total)
ival-sqrt: 2.0ms (32.8% of total)
ival-sub: 1.0ms (16.4% of total)
ival-div: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.6684401171840657e-104
3.927128098262568e-103
Results
10.0ms96×0valid
2.0ms19×0invalid
Compiler

Compiled 159 to 127 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (60% of total)
ival-sub: 1.0ms (15% of total)
ival-div: 1.0ms (15% of total)
ival-sqrt: 1.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-9.451992541595997e-201
-1.620733642560292e-201
Results
9.0ms96×0valid
Compiler

Compiled 159 to 115 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (44.2% of total)
ival-sub: 1.0ms (22.1% of total)
ival-div: 1.0ms (22.1% of total)
ival-sqrt: 1.0ms (22.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×*-commutative
10×neg-mul-1
10×+-commutative
unsub-neg
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069522
1102522
2116522
3127522
4144522
5167522
6169522
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal 1200000000000000052038690797064698616070394780208763982508493504565917650715989010234406355179386862706348711626861004560592139190272 binary64)) (*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))) (*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(if (<=.f64 z #s(literal 54000000000000004403143769571796424107466677842199825860263936 binary64)) (*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))))) (*.f64 y x))
(if (<=.f64 z #s(literal 2468256835981809/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (*.f64 (*.f64 x y) z) z) (*.f64 y x))
(if (<=.f64 z #s(literal 8556623698070271/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (/.f64 (*.f64 x (*.f64 y z)) z) (*.f64 y x))
(if (<=.f64 z #s(literal 3833027162785255/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y x))
(if (<=.f64 t #s(literal -4964087036791789/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)) (*.f64 y (/.f64 (*.f64 x z) z)) (*.f64 y x))
(*.f64 y x)
Outputs
(if (<=.f64 z #s(literal 1200000000000000052038690797064698616070394780208763982508493504565917650715989010234406355179386862706348711626861004560592139190272 binary64)) (*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))) (*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z)))))))
(if (<=.f64 z #s(literal 1200000000000000052038690797064698616070394780208763982508493504565917650715989010234406355179386862706348711626861004560592139190272 binary64)) (*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))) (*.f64 (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))) (*.f64 x y)))
(*.f64 (*.f64 x y) (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))))
(*.f64 (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 t z))))) (*.f64 x y))
(if (<=.f64 z #s(literal 54000000000000004403143769571796424107466677842199825860263936 binary64)) (*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a t) z)))))) (*.f64 y x))
(if (<=.f64 z #s(literal 54000000000000004403143769571796424107466677842199825860263936 binary64)) (*.f64 x (*.f64 y (/.f64 z (+.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t a) z)))))) (*.f64 x y))
(if (<=.f64 z #s(literal 2468256835981809/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (*.f64 (*.f64 x y) z) z) (*.f64 y x))
(if (<=.f64 z #s(literal 2468256835981809/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (*.f64 z (*.f64 x y)) z) (*.f64 x y))
(if (<=.f64 z #s(literal 8556623698070271/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (/.f64 (*.f64 x (*.f64 y z)) z) (*.f64 y x))
(if (<=.f64 z #s(literal 8556623698070271/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (/.f64 (*.f64 x (*.f64 z y)) z) (*.f64 x y))
(if (<=.f64 z #s(literal 3833027162785255/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y x))
(if (<=.f64 z #s(literal 3833027162785255/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (-.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(if (<=.f64 z #s(literal 3833027162785255/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (+.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x y))
(if (<=.f64 t #s(literal -4964087036791789/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)) (*.f64 y (/.f64 (*.f64 x z) z)) (*.f64 y x))
(if (<=.f64 t #s(literal -4964087036791789/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)) (*.f64 y (/.f64 (*.f64 z x) z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)

soundness814.0ms (6.2%)

Rules
819×fma-neg
782×fma-define
763×unsub-neg
602×div-sub
591×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037226
1565218
27772218
01031384
12851368
26711368
318161368
448471368
571631368
0100927300
1297826776
Stop Event
fuel
node limit
node limit
node limit
Compiler

Compiled 395 to 168 computations (57.5% saved)

preprocess119.0ms (0.9%)

Remove

(sort t a)

Compiler

Compiled 2426 to 1430 computations (41.1% saved)

end0.0ms (0%)

Profiling

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