Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

Time bar (total: 7.0s)

analyze175.0ms (2.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
56.3%56.2%43.7%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
76.6%76.5%23.4%0.1%0%0%0%11
76.6%76.5%23.4%0.1%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 10.0ms (37.9% of total)
ival-add: 8.0ms (30.3% of total)
ival-sub: 6.0ms (22.7% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (22.8%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 615.0ms
ival-add: 327.0ms (53.2% of total)
ival-div: 228.0ms (37.1% of total)
ival-sub: 45.0ms (7.3% of total)
const: 12.0ms (2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess250.0ms (3.6%)

Algorithm
egg-herbie
Rules
1115×fma-neg
368×times-frac
295×fma-define
253×div-sub
206×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042443
194411
2174407
3390407
41214407
52650407
63856407
74832407
84990407
95072407
105132407
115200407
125200407
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))))
(neg.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)))))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(/.f64 (+.f64 z y) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (+.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 y (neg.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))))
(/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (-.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))))
(/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (neg.f64 (+.f64 y (neg.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (-.f64 y x) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))))
(/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))))
(/.f64 (-.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(neg.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)))))
(/.f64 (+.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)))))
(/.f64 (+.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 z))))
(/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(/.f64 (+.f64 z y) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (+.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (+.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 z y)))

explain73.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-0-(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
00-0-x
00-0-(/.f64 y z)
00-0-z
00-0-(+.f64 x y)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) (/.f64 y z))
Results
43.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (45.8% of total)
ival-add: 4.0ms (26.2% of total)
ival-sub: 3.0ms (19.6% of total)
const: 1.0ms (6.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
90.3%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize87.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy90.3%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Rules
244×fma-neg
209×fma-define
93×div-sub
60×times-frac
50×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01495
12395
23195
34295
45995
57795
610595
713695
817695
925895
1038695
1155495
1283995
13110695
14125395
15133095
16133495
17134695
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
Results
21.0ms256×0valid
Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (56.5% of total)
ival-add: 2.0ms (28.3% of total)
ival-sub: 1.0ms (14.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
4 → 78
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (+.f64 x y)>
#<alt (/.f64 y z)>
Outputs
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))))) y)) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (-.f64 (+.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (-.f64 (+.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x y)) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) z)) (*.f64 y (+.f64 x y))) z))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) z) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)))) z)) (*.f64 y (+.f64 x y))) z))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (/.f64 (-.f64 z y) z)>
#<alt (/.f64 (-.f64 z y) z)>
#<alt (/.f64 (-.f64 z y) z)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
z
@0
(/ (+ x y) (- 1 (/ y z)))
1.0ms
y
@inf
(/ (+ x y) (- 1 (/ y z)))
1.0ms
y
@inf
(- 1 (/ y z))
1.0ms
x
@inf
(/ (+ x y) (- 1 (/ y z)))
1.0ms
x
@0
(/ (+ x y) (- 1 (/ y z)))

rewrite229.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1040×log1p-expm1-u
1040×expm1-log1p-u
836×prod-diff
85×add-cube-cbrt
84×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01482
118582
2273182
Stop Event
node limit
Counts
4 → 137
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 x y)
(/.f64 y z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 y z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (/.f64 y z)) (neg.f64 (/.f64 y z))) (neg.f64 (/.f64 y z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y z)) (neg.f64 (/.f64 y z)))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 y z))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(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 (exp.f64 (+.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)))
(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)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (neg.f64 (/.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))

simplify128.0ms (1.8%)

Algorithm
egg-herbie
Rules
511×fma-neg
458×distribute-lft-neg-in
428×distribute-rgt-neg-in
266×sub-neg
215×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04708901
112287507
246857245
Stop Event
node limit
Counts
215 → 254
Calls
Call 1
Inputs
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.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)))
(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)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (neg.f64 (/.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
Outputs
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z))) z)) (neg.f64 (/.f64 x z))))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (/.f64 x z))) x)
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z))) z)))) (neg.f64 (/.f64 x z))))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z)) (/.f64 x z))) x)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (fma.f64 #s(literal -1 binary64) z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) (*.f64 z (/.f64 (-.f64 (neg.f64 (*.f64 z x)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (-.f64 (-.f64 (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (/.f64 x y))) z) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (fma.f64 #s(literal -1 binary64) z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (*.f64 z x)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (-.f64 (neg.f64 (*.f64 z x)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (/.f64 x y))) z) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y))) z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(-.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (-.f64 (fma.f64 x z (*.f64 z (/.f64 (-.f64 (*.f64 z x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y)))
(-.f64 (neg.f64 z) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (+.f64 x (/.f64 (fma.f64 z x (pow.f64 z #s(literal 2 binary64))) y)))) y))
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 x (/.f64 (fma.f64 z x (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))))) y)) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y))) (*.f64 z (-.f64 (*.f64 z x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) y) (*.f64 z x)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y)))
(-.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) (*.f64 z (fma.f64 z x (pow.f64 z #s(literal 2 binary64))))) y) (fma.f64 z x (pow.f64 z #s(literal 2 binary64)))) y))
(-.f64 (neg.f64 z) (/.f64 (+.f64 (fma.f64 z x (pow.f64 z #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 z x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 z (fma.f64 z x (pow.f64 z #s(literal 2 binary64))))) y)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))
(neg.f64 (*.f64 z (/.f64 (+.f64 y x) y)))
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))
(*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (+.f64 y x) y))))
(*.f64 (neg.f64 z) (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 y x) y)))
(*.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 y x) (neg.f64 y))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) y) (*.f64 z (-.f64 (*.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (-.f64 (*.f64 z (-.f64 (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (+.f64 y x) y)))
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(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y x)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 y x)
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 y x)
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(+.f64 y x)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 y x)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 (/.f64 y (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 (/.f64 y (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(neg.f64 (neg.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(log.f64 (exp.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(expm1.f64 (log1p.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(log1p.f64 (expm1.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(exp.f64 (log.f64 (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) #s(literal 0 binary64))
(/.f64 y z)

eval35.0ms (0.5%)

Compiler

Compiled 4537 to 922 computations (79.7% saved)

prune45.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New24212254
Fresh000
Picked101
Done000
Total24312255
Accuracy
100.0%
Counts
255 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.1%
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) #s(literal -1 binary64))
90.3%
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
37.5%
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))
90.3%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
39.5%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
53.6%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
53.9%
(+.f64 y x)
53.2%
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
45.6%
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
37.8%
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))
33.5%
(neg.f64 z)
41.1%
x
Compiler

Compiled 242 to 162 computations (33.1% saved)

localize202.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
(/.f64 y (neg.f64 z))
cost-diff0
(+.f64 x y)
cost-diff64
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
cost-diff0
(+.f64 y x)
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 (-.f64 z y) z)
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
accuracy100.0%
(/.f64 y (neg.f64 z))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(neg.f64 z)
accuracy84.3%
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy90.4%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 (-.f64 z y) z)
accuracy90.3%
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
Rules
1084×fma-neg
630×fma-define
593×times-frac
540×div-sub
278×distribute-lft-neg-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
022282
141273
266273
3131273
4228273
5476273
61001266
72150266
85556266
97327266
107727266
117949266
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
(+.f64 x y)
x
y
(/.f64 (-.f64 z y) z)
(-.f64 z y)
z
x
(+.f64 y x)
y
x
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))
(+.f64 x y)
x
y
(/.f64 y (neg.f64 z))
(neg.f64 z)
z
Outputs
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
(*.f64 (/.f64 (+.f64 x y) (-.f64 z y)) z)
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
x
y
(/.f64 (-.f64 z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 z y)
z
x
(+.f64 y x)
(+.f64 x y)
y
x
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (-.f64 z y) z)
#s(literal 1 binary64)
(/.f64 y z)
z
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))
(*.f64 (/.f64 (+.f64 x y) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 x y) y))
(/.f64 (*.f64 (+.f64 x y) (neg.f64 z)) y)
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 x y)
x
y
(/.f64 y (neg.f64 z))
(neg.f64 z)
z
Results
52.0ms256×0valid
Compiler

Compiled 71 to 16 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 13.0ms (50.4% of total)
ival-sub: 7.0ms (27.1% of total)
ival-add: 3.0ms (11.6% of total)
ival-neg: 1.0ms (3.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.4%)

Counts
8 → 201
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))>
#<alt (/.f64 (-.f64 z y) z)>
#<alt (-.f64 z y)>
#<alt (+.f64 y x)>
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))>
#<alt (neg.f64 z)>
#<alt (/.f64 y (neg.f64 z))>
Outputs
#<alt (/.f64 (*.f64 y z) (-.f64 z y))>
#<alt (+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))>
#<alt (+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))>
#<alt (+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))>
#<alt (*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))>
#<alt (*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
Calls

51 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ (+ x y) (/ y (neg z)))
3.0ms
z
@0
(/ y (neg z))
2.0ms
z
@inf
(/ (+ x y) (/ (- z y) z))
1.0ms
z
@0
(/ (+ x y) (/ y (neg z)))
1.0ms
x
@0
(/ (+ x y) (/ (- z y) z))

rewrite174.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1074×log1p-expm1-u
166×expm1-log1p-u
165×add-cube-cbrt
163×add-exp-log
163×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022176
1369158
26308158
Stop Event
node limit
Counts
8 → 329
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
(/.f64 (-.f64 z y) z)
(-.f64 z y)
(+.f64 y x)
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))
(neg.f64 z)
(/.f64 y (neg.f64 z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y)))
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(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 z (-.f64 z y))))
(*.f64 (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z (-.f64 z y))))
(*.f64 (neg.f64 y) (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 (/.f64 y z))))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.f64 z y)))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 z y))
(*.f64 z (/.f64 (+.f64 x y) y))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (/.f64 z y)))
(*.f64 (*.f64 (+.f64 x y) (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 z y)))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 z y))
(*.f64 (/.f64 z y) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))) (/.f64 (+.f64 x y) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (/.f64 y z))))
(*.f64 (*.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (/.f64 (+.f64 x y) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 (+.f64 x y) y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (/.f64 (+.f64 x y) y) #s(literal -1 binary64)) z)
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
(pow.f64 (*.f64 (+.f64 x y) (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y z) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (*.f64 (+.f64 x y) (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) (/.f64 z y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 (/.f64 y z))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))

simplify167.0ms (2.4%)

Algorithm
egg-herbie
Rules
883×times-frac
594×associate-*r*
495×fma-define
330×distribute-rgt-in
327×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090716354
1229415715
Stop Event
node limit
Counts
530 → 547
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) (-.f64 z y))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) z)
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(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 (/.f64 y z))))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.f64 z y)))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 z y))
(*.f64 z (/.f64 (+.f64 x y) y))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (/.f64 z y)))
(*.f64 (*.f64 (+.f64 x y) (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 z y)))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 z y))
(*.f64 (/.f64 z y) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))) (/.f64 (+.f64 x y) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (/.f64 y z))))
(*.f64 (*.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (/.f64 (+.f64 x y) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 (+.f64 x y) y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (/.f64 (+.f64 x y) y) #s(literal -1 binary64)) z)
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
(pow.f64 (*.f64 (+.f64 x y) (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y z) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (*.f64 (+.f64 x y) (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) (/.f64 z y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 (/.f64 y z))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 y z) (-.f64 z y))
(*.f64 y (/.f64 z (-.f64 z y)))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(*.f64 z (/.f64 (+.f64 y x) (-.f64 z y)))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(*.f64 z (/.f64 (+.f64 y x) (-.f64 z y)))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))
(*.f64 z (/.f64 (+.f64 y x) (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (*.f64 (/.f64 y x) (/.f64 z (-.f64 z y)))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 z (-.f64 z y))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (*.f64 (/.f64 y x) (/.f64 z (-.f64 z y)))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 z (-.f64 z y))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (*.f64 (/.f64 y x) (/.f64 z (-.f64 z y)))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 z (-.f64 z y))))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
(neg.f64 (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 z (-.f64 z y)) (*.f64 (/.f64 y x) (/.f64 z (-.f64 z y)))))))
(*.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 z (-.f64 z y)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
(neg.f64 (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 z (-.f64 z y)) (*.f64 (/.f64 y x) (/.f64 z (-.f64 z y)))))))
(*.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 z (-.f64 z y)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
(neg.f64 (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 z (-.f64 z y)) (*.f64 (/.f64 y x) (/.f64 z (-.f64 z y)))))))
(*.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 z (-.f64 z y)))) (neg.f64 x))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z))) z)) (neg.f64 (/.f64 x z))))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (/.f64 x z))) x)
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z))) z))))) (neg.f64 (/.f64 x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z)) (/.f64 x z))) x)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (-.f64 (neg.f64 z) (*.f64 x (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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eval104.0ms (1.5%)

Compiler

Compiled 10426 to 1939 computations (81.4% saved)

prune115.0ms (1.6%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New72011731
Fresh437
Picked145
Done000
Total72518743
Accuracy
100.0%
Counts
743 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.3%
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
41.7%
(/.f64 (*.f64 x z) (-.f64 z y))
14.8%
(/.f64 (neg.f64 (*.f64 z x)) y)
39.5%
(/.f64 y (/.f64 (-.f64 z y) z))
26.2%
(/.f64 y (/.f64 y (neg.f64 z)))
39.5%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
39.4%
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
53.6%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
44.7%
(-.f64 (neg.f64 z) (*.f64 x (/.f64 z y)))
53.9%
(+.f64 y x)
45.6%
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
74.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z)))
53.6%
(*.f64 x (/.f64 z (-.f64 z y)))
14.5%
(*.f64 x (/.f64 z (neg.f64 y)))
37.8%
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))
33.5%
(neg.f64 z)
16.1%
y
41.1%
x
Compiler

Compiled 308 to 201 computations (34.7% saved)

localize150.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 28 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(+.f64 x y)
cost-diff64
(/.f64 (+.f64 x y) (neg.f64 y))
cost-diff64
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
cost-diff-256
(neg.f64 z)
cost-diff0
(/.f64 y (neg.f64 z))
cost-diff256
(/.f64 y (/.f64 y (neg.f64 z)))
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 z y))
cost-diff128
(/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z))
cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z)))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(/.f64 (+.f64 x y) (neg.f64 y))
accuracy95.2%
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy96.2%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy100.0%
(/.f64 y (neg.f64 z))
accuracy100.0%
(neg.f64 z)
accuracy75.3%
(/.f64 y (/.f64 y (neg.f64 z)))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 z y))
accuracy99.7%
(/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z))
accuracy74.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z)))
Rules
746×div-sub
542×unsub-neg
517×fma-define
473×neg-mul-1
417×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026396
155342
2126342
3339342
4990325
53571325
65880325
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (-.f64 z y))
#s(literal 1 binary64)
(-.f64 z y)
z
y
(/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z))
(+.f64 x y)
x
(/.f64 #s(literal 1 binary64) z)
y
(/.f64 y (/.f64 y (neg.f64 z)))
y
(/.f64 y (neg.f64 z))
(neg.f64 z)
z
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
y
z
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
(/.f64 (+.f64 x y) (neg.f64 y))
(+.f64 x y)
x
y
(neg.f64 y)
z
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) z)) (-.f64 z y))
(/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y))
(*.f64 (+.f64 y x) (/.f64 z (-.f64 z y)))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (-.f64 z y))
(/.f64 #s(literal -1 binary64) (-.f64 y z))
#s(literal 1 binary64)
(-.f64 z y)
z
y
(/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) z)
(*.f64 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
(/.f64 #s(literal 1 binary64) z)
y
(/.f64 y (/.f64 y (neg.f64 z)))
(*.f64 (/.f64 y y) (neg.f64 z))
(neg.f64 z)
y
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(neg.f64 z)
(*.f64 (/.f64 y y) (neg.f64 z))
z
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
y
z
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
(/.f64 (*.f64 (+.f64 y x) z) (neg.f64 y))
(*.f64 (+.f64 y x) (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (+.f64 x y) (neg.f64 y))
(/.f64 (+.f64 y x) (neg.f64 y))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(+.f64 x y)
(+.f64 y x)
x
y
(neg.f64 y)
z
Results
56.0ms256×0valid
Compiler

Compiled 98 to 20 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 14.0ms (56% of total)
ival-mult: 4.0ms (16% of total)
ival-sub: 3.0ms (12% of total)
ival-neg: 3.0ms (12% of total)
ival-add: 1.0ms (4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series26.0ms (0.4%)

Counts
8 → 216
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 z y))>
#<alt (/.f64 y (/.f64 y (neg.f64 z)))>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)>
#<alt (/.f64 (+.f64 x y) (neg.f64 y))>
#<alt (neg.f64 y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (-.f64 (+.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (-.f64 (+.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x y)) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) z)) (*.f64 y (+.f64 x y))) z))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) z) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)))) z)) (*.f64 y (+.f64 x y))) z))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))))) y)) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (/.f64 (*.f64 y z) (-.f64 z y))>
#<alt (+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))>
#<alt (+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))>
#<alt (+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))>
#<alt (*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))>
#<alt (*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (/.f64 #s(literal -1 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) z)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 y z))) z)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) z)>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 #s(literal -1 binary64) y)) z)) #s(literal 1 binary64)) z))>
#<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 -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) (pow.f64 y #s(literal 2 binary64))) z)) (*.f64 #s(literal -1 binary64) y)) z)) #s(literal 1 binary64)) z))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)) y)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 z y))) y)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 z y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)>
#<alt (/.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) z) y))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)) z) y))) y))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)) (*.f64 x z)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) y) (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)) (*.f64 x z)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (-.f64 (+.f64 x (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (-.f64 (+.f64 x (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)) (*.f64 x y)) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) z) (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (*.f64 x y)) z)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) y)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(/ x (- 1 (/ y z)))
1.0ms
x
@inf
(/ x (- 1 (/ y z)))
1.0ms
x
@0
(/ x (- 1 (/ y z)))
1.0ms
y
@inf
(/ x (- 1 (/ y z)))
1.0ms
z
@0
(/ x (- 1 (/ y z)))

rewrite175.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
345×log1p-expm1-u
210×expm1-log1p-u
207×add-exp-log
206×add-cube-cbrt
205×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026216
1458170
27838170
Stop Event
node limit
Counts
8 → 291
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (-.f64 z y))
(/.f64 y (/.f64 y (neg.f64 z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
(/.f64 (+.f64 x y) (neg.f64 y))
(neg.f64 y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))) (+.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 z y) z) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (*.f64 z (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 y x) (+.f64 z y))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))))
(/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z))
(/.f64 (*.f64 z (+.f64 y x)) (+.f64 z y))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))) (+.f64 z y)))
(/.f64 (+.f64 y (neg.f64 x)) (/.f64 (+.f64 z y) z))
(/.f64 (+.f64 y (neg.f64 x)) (neg.f64 (/.f64 (+.f64 z y) z)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 z y) z) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 z y) z) (+.f64 y x)))
(/.f64 (/.f64 (+.f64 y x) (+.f64 z y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (neg.f64 x))) (/.f64 (+.f64 z y) z))
(/.f64 (*.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(/.f64 (*.f64 (+.f64 y (neg.f64 x)) #s(literal 1 binary64)) (/.f64 (+.f64 z y) z))
(/.f64 (*.f64 (+.f64 y (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(/.f64 (neg.f64 (/.f64 (+.f64 y x) (+.f64 z y))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 z y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (+.f64 y (neg.f64 x))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64)) (+.f64 z y))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y x))) (+.f64 z y))
(/.f64 (*.f64 (+.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (*.f64 z (+.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 z y)))
(/.f64 (/.f64 (/.f64 (+.f64 y x) (+.f64 z y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (/.f64 (+.f64 y x) (+.f64 z y)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (+.f64 y x) (+.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z))))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 z y) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y x)) z))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) z))
(*.f64 (sqrt.f64 z) (/.f64 (+.f64 y x) (pow.f64 z #s(literal -1/2 binary64))))
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(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (+.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 y x) y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 y x) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))

simplify164.0ms (2.3%)

Algorithm
egg-herbie
Rules
469×fma-define
449×associate-/l*
444×distribute-lft-in
427×distribute-rgt-in
341×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097216811
1256814932
Stop Event
node limit
Counts
507 → 574
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(+.f64 x y)
(+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))
(-.f64 (+.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x y)) z)))
(-.f64 (+.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x y)) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 x y)
(+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) z)) (*.f64 y (+.f64 x y))) z))))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) z) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)))) z)) (*.f64 y (+.f64 x y))) z))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 z (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))))) y)) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))
(/.f64 (*.f64 y z) (-.f64 z y))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(+.f64 (/.f64 (*.f64 x z) (-.f64 z y)) (/.f64 (*.f64 y z) (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(*.f64 x (+.f64 (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (-.f64 z y)))))))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(/.f64 #s(literal -1 binary64) y)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(-.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) z)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 y z))) z)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) z)
(/.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) z))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 #s(literal -1 binary64) y)) z)) #s(literal 1 binary64)) z))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) (pow.f64 y #s(literal 2 binary64))) z)) (*.f64 #s(literal -1 binary64) y)) z)) #s(literal 1 binary64)) z))
(/.f64 #s(literal 1 binary64) z)
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 z y))) y)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 z y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) z) y))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)) z) y))) y))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))) y)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) y)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)) (*.f64 x z)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) y) (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)) (*.f64 x z)) y))
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(*.f64 #s(literal -1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 z y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 y z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z y)))
(*.f64 (/.f64 z y) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))) (/.f64 y (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y z))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(neg.f64 z)
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 y z))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 z y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z (+.f64 y x))))
(/.f64 z (/.f64 y (+.f64 y x)))
(/.f64 (*.f64 z (+.f64 y x)) y)
(/.f64 (*.f64 z (+.f64 y (neg.f64 x))) y)
(/.f64 (/.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (*.f64 z (+.f64 y x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (+.f64 y x) (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) (/.f64 z y))) #s(literal 2 binary64))
(neg.f64 (*.f64 (+.f64 y x) (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 (+.f64 y x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y x) (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 y x) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 y x) y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) y)) (sqrt.f64 (/.f64 (+.f64 y x) y)))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (+.f64 y x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 y x) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(pow.f64 (/.f64 (+.f64 y x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (+.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 y x) y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 y x) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))
(*.f64 (+.f64 x y) (/.f64 (neg.f64 z) y))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (+.f64 x y) (neg.f64 y))))
(*.f64 z (neg.f64 (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y) (*.f64 z (-.f64 (*.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 z (fma.f64 z (-.f64 (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
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(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 x y)))
(fma.f64 x (/.f64 z y) z)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 x y)))
(fma.f64 x (/.f64 z y) z)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 z y))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (+.f64 x y) y))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 z y) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) (/.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 x y)))
(fma.f64 x (/.f64 z y) z)
(exp.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 x y)))
(fma.f64 x (/.f64 z y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y x) (/.f64 z y))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 x y)))
(fma.f64 x (/.f64 z y) z)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) y)))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 (+.f64 y x) y) #s(literal 1 binary64))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 y x) y)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) y))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) y)) (sqrt.f64 (/.f64 (+.f64 y x) y)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (+.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 y x))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 y)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (+.f64 y x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (+.f64 x y) (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) y))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 y x) y)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (+.f64 x y) (sqrt.f64 y)))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 y)))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (+.f64 y x)) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(pow.f64 (/.f64 (+.f64 y x) y) #s(literal 1 binary64))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) #s(literal 3 binary64))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) y)) #s(literal 2 binary64))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (/.f64 y (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(neg.f64 (/.f64 (+.f64 y x) y))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) y)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 y x) y))))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) y) #s(literal 3 binary64)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) y)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) y)))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) y)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) y)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) y)) #s(literal 1 binary64)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 #s(literal 0 binary64) y)
y
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 y))
(*.f64 #s(literal 1 binary64) y)
y
(*.f64 y #s(literal 1 binary64))
y
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(neg.f64 y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(neg.f64 y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)))
(neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(neg.f64 y)
(pow.f64 y #s(literal 1 binary64))
y
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
y
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
y
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(fabs.f64 y)
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
y
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y

eval107.0ms (1.5%)

Compiler

Compiled 13426 to 2764 computations (79.4% saved)

prune132.0ms (1.9%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New8879896
Fresh639
Picked235
Done044
Total89519914
Accuracy
100.0%
Counts
914 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(/.f64 (/.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64)) y)
90.3%
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
14.8%
(/.f64 (*.f64 (neg.f64 x) z) y)
26.2%
(/.f64 y (/.f64 y (neg.f64 z)))
39.5%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
53.7%
(/.f64 x (/.f64 (-.f64 z y) z))
14.5%
(/.f64 x (/.f64 y (neg.f64 z)))
53.6%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
44.7%
(-.f64 (neg.f64 z) (*.f64 x (/.f64 z y)))
53.9%
(+.f64 y x)
15.0%
(*.f64 (/.f64 (neg.f64 x) y) z)
41.6%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 z x))
45.6%
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
43.8%
(*.f64 z (/.f64 y (-.f64 z y)))
53.6%
(*.f64 x (/.f64 z (-.f64 z y)))
33.5%
(neg.f64 z)
3.3%
z
16.1%
y
41.1%
x
Compiler

Compiled 277 to 183 computations (33.9% saved)

localize193.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 y (-.f64 z y))
cost-diff0
(*.f64 z (/.f64 y (-.f64 z y)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff0
(/.f64 (*.f64 (neg.f64 x) z) y)
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) y)
cost-diff0
(*.f64 (/.f64 (neg.f64 x) y) z)
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 (-.f64 z y) z)
cost-diff0
(/.f64 x (/.f64 (-.f64 z y) z))
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(/.f64 y (-.f64 z y))
accuracy84.8%
(*.f64 z (/.f64 y (-.f64 z y)))
accuracy100.0%
(*.f64 (neg.f64 x) z)
accuracy100.0%
(neg.f64 x)
accuracy91.7%
(/.f64 (*.f64 (neg.f64 x) z) y)
accuracy100.0%
(/.f64 (neg.f64 x) y)
accuracy100.0%
(neg.f64 x)
accuracy90.0%
(*.f64 (/.f64 (neg.f64 x) y) z)
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(/.f64 (-.f64 z y) z)
accuracy96.2%
(/.f64 x (/.f64 (-.f64 z y) z))
Rules
600×fma-neg
595×fma-define
193×div-sub
163×times-frac
142×associate-*l*
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
020282
142276
277276
3145276
4212276
5362276
6688276
71229276
82399276
93425273
103681273
113754273
123925273
133925273
143925273
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 (-.f64 z y) z))
x
(/.f64 (-.f64 z y) z)
(-.f64 z y)
z
y
z
(*.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
z
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
(*.f64 z (/.f64 y (-.f64 z y)))
z
(/.f64 y (-.f64 z y))
y
(-.f64 z y)
Outputs
(/.f64 x (/.f64 (-.f64 z y) z))
(*.f64 (/.f64 x (-.f64 z y)) z)
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(/.f64 (-.f64 z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 z y)
z
y
z
(*.f64 (/.f64 (neg.f64 x) y) z)
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(neg.f64 x)
x
y
z
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 x) z)
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(neg.f64 x)
x
z
y
(*.f64 z (/.f64 y (-.f64 z y)))
(/.f64 (*.f64 z y) (-.f64 z y))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(/.f64 y (-.f64 z y))
y
(-.f64 z y)
Results
51.0ms256×0valid
Compiler

Compiled 70 to 14 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 11.0ms (44.4% of total)
ival-div: 9.0ms (36.4% of total)
ival-sub: 2.0ms (8.1% of total)
ival-neg: 2.0ms (8.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series26.0ms (0.4%)

Counts
8 → 216
Calls
Call 1
Inputs
#<alt (/.f64 x (/.f64 (-.f64 z y) z))>
#<alt (*.f64 (/.f64 (neg.f64 x) y) z)>
#<alt (neg.f64 x)>
#<alt (/.f64 (neg.f64 x) y)>
#<alt (/.f64 (*.f64 (neg.f64 x) z) y)>
#<alt (*.f64 (neg.f64 x) z)>
#<alt (*.f64 z (/.f64 y (-.f64 z y)))>
#<alt (/.f64 y (-.f64 z y))>
Outputs
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (/.f64 (*.f64 x z) (-.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64))))))>
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#<alt (/.f64 y z)>
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#<alt (/.f64 (-.f64 (+.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) z)>
#<alt (/.f64 (-.f64 (+.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))))) z)>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (pow.f64 y #s(literal 2 binary64))) z))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (pow.f64 y #s(literal 2 binary64))) z))) z))>
Calls

54 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* (/ (neg x) y) z)
1.0ms
z
@0
(* (/ (neg x) y) z)
1.0ms
x
@0
(/ x (/ (- z y) z))
1.0ms
x
@inf
(/ x (/ (- z y) z))
1.0ms
x
@inf
(* (/ (neg x) y) z)

rewrite166.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1077×log1p-expm1-u
555×prod-diff
248×expm1-log1p-u
151×times-frac
137×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020178
1318155
24952155
Stop Event
node limit
Counts
8 → 285
Calls
Call 1
Inputs
(/.f64 x (/.f64 (-.f64 z y) z))
(*.f64 (/.f64 (neg.f64 x) y) z)
(neg.f64 x)
(/.f64 (neg.f64 x) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(*.f64 z (/.f64 y (-.f64 z y)))
(/.f64 y (-.f64 z y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 z (/.f64 x (-.f64 z y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z (-.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z (-.f64 z y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 z (-.f64 z y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 x (-.f64 z y)) z)
(*.f64 (/.f64 x (-.f64 z y)) (neg.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 z y)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 z y)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (*.f64 (/.f64 x (-.f64 z y)) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (/.f64 x (-.f64 z y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 x (-.f64 z y)) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z (-.f64 z y)))
(pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) (neg.f64 y))
(/.f64 (*.f64 x z) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z 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))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(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))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.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))))
(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 x (/.f64 z y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x y) z)
(*.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 (sqrt.f64 (*.f64 x z)) y))
(*.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x z) (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x z)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 z (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z 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))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(neg.f64 (*.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #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 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z (-.f64 z y))))) #s(literal 1 binary64))
(/.f64 z (/.f64 (-.f64 z y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 z y)))
(/.f64 (*.f64 z y) (-.f64 z y))
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 (-.f64 z y)))
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 (-.f64 z y)))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 (-.f64 z y)))
(/.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) (-.f64 z y))
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z y)))
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 (-.f64 z y))) (sqrt.f64 (-.f64 z y)))
(pow.f64 (*.f64 y (/.f64 z (-.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z (-.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 z (-.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z (-.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z (-.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y (-.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 z (-.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z (-.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z (-.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z (-.f64 z y)))))
(exp.f64 (log.f64 (*.f64 y (/.f64 z (-.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z (-.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 z y)))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (/.f64 y (-.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 z y)))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (-.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (-.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 z y))) (sqrt.f64 (/.f64 y (-.f64 z y))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 z y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 z y))) (/.f64 y (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (-.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (-.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (-.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 z y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 z y))
(pow.f64 (/.f64 y (-.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 z y) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 (-.f64 z y))))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 z y)))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (-.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (-.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 z y))))
(exp.f64 (log.f64 (/.f64 y (-.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 z y))) #s(literal 1 binary64)))

simplify182.0ms (2.6%)

Algorithm
egg-herbie
Rules
579×associate-*l*
526×associate-*r*
311×times-frac
288×associate-/l*
278×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078713891
1191513360
Stop Event
node limit
Counts
501 → 451
Calls
Call 1
Inputs
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(-.f64 (+.f64 x (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))
(-.f64 (+.f64 x (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)) (*.f64 x y)) z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) z) (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (*.f64 x y)) z)))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))) y)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) y)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))) y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)) (*.f64 x z)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) y) (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)) (*.f64 x z)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(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))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.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))))
(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 x (/.f64 z y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x y) z)
(*.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 (sqrt.f64 (*.f64 x z)) y))
(*.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x z) (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x z)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 z (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z 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))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(neg.f64 (*.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #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 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z (-.f64 z y))))) #s(literal 1 binary64))
(/.f64 z (/.f64 (-.f64 z y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 z y)))
(/.f64 (*.f64 z y) (-.f64 z y))
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 (-.f64 z y)))
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 (-.f64 z y)))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 (-.f64 z y)))
(/.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) (-.f64 z y))
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z y)))
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 (-.f64 z y))) (sqrt.f64 (-.f64 z y)))
(pow.f64 (*.f64 y (/.f64 z (-.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z (-.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 z (-.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z (-.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z (-.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y (-.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 z (-.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z (-.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z (-.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z (-.f64 z y)))))
(exp.f64 (log.f64 (*.f64 y (/.f64 z (-.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z (-.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 z y)))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (/.f64 y (-.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 z y)))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (-.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (-.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 z y))) (sqrt.f64 (/.f64 y (-.f64 z y))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 z y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 z y))) (/.f64 y (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (-.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (-.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (-.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 z y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 z y))
(pow.f64 (/.f64 y (-.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 z y) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 (-.f64 z y))))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 z y)))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (-.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (-.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 z y))))
(exp.f64 (log.f64 (/.f64 y (-.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 z y))) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 (*.f64 x (neg.f64 z)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (neg.f64 z) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 z (-.f64 (/.f64 (*.f64 x (neg.f64 z)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 z (fma.f64 z (-.f64 (*.f64 x (/.f64 (neg.f64 z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (neg.f64 y))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 z (-.f64 (*.f64 z (-.f64 (/.f64 (*.f64 x (neg.f64 z)) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 z (fma.f64 z (fma.f64 z (-.f64 (*.f64 x (/.f64 (neg.f64 z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))) (/.f64 x (neg.f64 y))))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(-.f64 (+.f64 x (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))
(-.f64 (+.f64 x (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 x (/.f64 y z))))
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(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 z y)))
(/.f64 y (-.f64 z y))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) #s(literal 2 binary64)))
(/.f64 y (-.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (-.f64 z y))))
(/.f64 y (-.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (-.f64 z y)))
(/.f64 y (-.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(/.f64 y (-.f64 z y))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 z y))) (sqrt.f64 (/.f64 y (-.f64 z y))))
(/.f64 y (-.f64 z y))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 z y)))
(/.f64 y (-.f64 z y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(/.f64 y (-.f64 z y))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z y))))
(/.f64 y (-.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y)
(/.f64 y (-.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (-.f64 z y))))
(/.f64 (/.f64 y (cbrt.f64 (-.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 z y))) (/.f64 y (sqrt.f64 (-.f64 z y))))
(/.f64 (/.f64 y (sqrt.f64 (-.f64 z y))) (sqrt.f64 (-.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (-.f64 z y)))
(/.f64 y (-.f64 z y))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (-.f64 z y)))
(/.f64 y (-.f64 z y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (-.f64 z y))))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 z y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 z y))) (/.f64 y (sqrt.f64 (-.f64 z y))))
(/.f64 (/.f64 y (sqrt.f64 (-.f64 z y))) (sqrt.f64 (-.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (-.f64 z y))))
(/.f64 (/.f64 y (cbrt.f64 (-.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(*.f64 y (/.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 z y))
(*.f64 (+.f64 z y) (/.f64 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (/.f64 (+.f64 z y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (/.f64 y (-.f64 z y)) #s(literal 1 binary64))
(/.f64 y (-.f64 z y))
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 z y))) #s(literal 3 binary64))
(/.f64 y (-.f64 z y))
(pow.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y (-.f64 z y))
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 z y))) #s(literal 2 binary64))
(/.f64 y (-.f64 z y))
(pow.f64 (/.f64 (-.f64 z y) y) #s(literal -1 binary64))
(/.f64 y (-.f64 z y))
(neg.f64 (/.f64 y (neg.f64 (-.f64 z y))))
(/.f64 y (-.f64 z y))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 z y)))
(/.f64 y (-.f64 z y))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y (-.f64 z y)))
(log.f64 (exp.f64 (/.f64 y (-.f64 z y))))
(/.f64 y (-.f64 z y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (-.f64 z y)))))
(/.f64 y (-.f64 z y))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 z y)) #s(literal 3 binary64)))
(/.f64 y (-.f64 z y))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z y) #s(literal 3 binary64))))
(/.f64 y (-.f64 z y))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 z y))))
(/.f64 y (-.f64 z y))
(exp.f64 (log.f64 (/.f64 y (-.f64 z y))))
(/.f64 y (-.f64 z y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 z y))) #s(literal 1 binary64)))
(/.f64 y (-.f64 z y))

eval82.0ms (1.2%)

Compiler

Compiled 8562 to 1919 computations (77.6% saved)

prune169.0ms (2.4%)

Pruning

19 alts after pruning (7 fresh and 12 done)

PrunedKeptTotal
New6703673
Fresh347
Picked055
Done077
Total67319692
Accuracy
100.0%
Counts
692 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(/.f64 (/.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64)) y)
90.3%
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
14.8%
(/.f64 (*.f64 (neg.f64 x) z) y)
26.2%
(/.f64 y (/.f64 y (neg.f64 z)))
39.5%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
53.7%
(/.f64 x (/.f64 (-.f64 z y) z))
14.5%
(/.f64 x (/.f64 (neg.f64 y) z))
53.6%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
14.8%
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)))
44.7%
(-.f64 (neg.f64 z) (*.f64 x (/.f64 z y)))
53.9%
(+.f64 y x)
15.0%
(*.f64 (/.f64 (neg.f64 x) y) z)
53.6%
(*.f64 (/.f64 z (-.f64 z y)) x)
45.6%
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
43.8%
(*.f64 z (/.f64 y (-.f64 z y)))
33.5%
(neg.f64 z)
3.3%
z
16.1%
y
41.1%
x
Compiler

Compiled 417 to 182 computations (56.4% saved)

regimes143.0ms (2%)

Counts
36 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 x (/.f64 y (neg.f64 z)))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 y (/.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 y (-.f64 z y)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (/.f64 (-.f64 z y) z))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
(-.f64 (neg.f64 z) (*.f64 x (/.f64 z y)))
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 z x))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
(/.f64 (/.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64)) y)
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) z)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) #s(literal -1 binary64))
Outputs
(/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Calls

4 calls:

46.0ms
y
10.0ms
z
10.0ms
x
10.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
AccuracySegmentsBranch
90.3%1x
95.1%3y
95.5%3z
99.9%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.2%)

Counts
31 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 x (/.f64 y (neg.f64 z)))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 y (/.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 y (-.f64 z y)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (/.f64 (-.f64 z y) z))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
(-.f64 (neg.f64 z) (*.f64 x (/.f64 z y)))
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 z x))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Calls

1 calls:

9.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
AccuracySegmentsBranch
99.9%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes35.0ms (0.5%)

Counts
30 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 x (/.f64 y (neg.f64 z)))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 y (/.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 y (-.f64 z y)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 x (/.f64 (-.f64 z y) z))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (/.f64 (-.f64 z y) z))
(/.f64 (*.f64 x z) (-.f64 z y))
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 y)) z)
(-.f64 (neg.f64 z) (*.f64 x (/.f64 z y)))
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 x y)) y))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 z x))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
Outputs
(*.f64 z (/.f64 y (-.f64 z y)))
(/.f64 x (/.f64 (-.f64 z y) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
Calls

3 calls:

13.0ms
z
12.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
71.4%3x
80.0%3y
79.5%6z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
18 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 x (/.f64 y (neg.f64 z)))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 y (/.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 y (-.f64 z y)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Outputs
(*.f64 z (/.f64 y (-.f64 z y)))
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
80.0%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 x (/.f64 y (neg.f64 z)))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 y (/.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 y (-.f64 z y)))
Outputs
(*.f64 z (/.f64 y (-.f64 z y)))
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (/.f64 y (-.f64 z y)))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
79.5%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 x (/.f64 y (neg.f64 z)))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 y (/.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
Outputs
(neg.f64 z)
(*.f64 x (/.f64 z (-.f64 z y)))
(neg.f64 z)
Calls

2 calls:

7.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
71.2%6z
72.2%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(/.f64 x (/.f64 y (neg.f64 z)))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 y (/.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 (neg.f64 x) z) y)
Outputs
(neg.f64 z)
(+.f64 y x)
(neg.f64 z)
Calls

2 calls:

7.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
61.2%5x
70.1%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
Outputs
(neg.f64 z)
x
(neg.f64 z)
Calls

2 calls:

2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
54.4%4z
64.1%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
x
y
z
Outputs
y
x
y
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
43.1%2z
45.0%3x
45.6%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
41.1%1z
41.1%1x
41.1%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.6689982134763707e-308
0.0ms
-2.4207804587330953e-250
-2.5304570244157804e-252
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.6689982134763707e-308
0.0ms
-2.4207804587330953e-250
-2.5304570244157804e-252
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch182.0ms (2.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.020839957088439e+31
7.959669997981904e+41
166.0ms
-6.41423006965059e-28
-4.228652839679352e-31
Results
170.0ms288×0valid
Compiler

Compiled 414 to 275 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.4% of total)
ival-add: 2.0ms (25.7% of total)
ival-sub: 1.0ms (12.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch97.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.020839957088439e+31
7.959669997981904e+41
80.0ms
-6.41423006965059e-28
-4.228652839679352e-31
Results
85.0ms288×0valid
Compiler

Compiled 414 to 275 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-div: 72.0ms (94.9% of total)
ival-sub: 2.0ms (2.6% of total)
ival-add: 2.0ms (2.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch101.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
88.0ms
1.1282656115347067e+21
5.079749296222709e+22
11.0ms
-6.41423006965059e-28
-4.228652839679352e-31
Results
14.0ms240×0valid
Compiler

Compiled 348 to 223 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (45.9% of total)
ival-add: 2.0ms (30.6% of total)
ival-sub: 1.0ms (15.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
7.959669997981904e+41
3.066707375556581e+72
11.0ms
-6.41423006965059e-28
-4.228652839679352e-31
Results
20.0ms304×0valid
Compiler

Compiled 341 to 241 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (47.3% of total)
ival-sub: 2.0ms (23.7% of total)
ival-add: 2.0ms (23.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7.959669997981904e+41
3.066707375556581e+72
14.0ms
-6.41423006965059e-28
-4.228652839679352e-31
Results
20.0ms304×0valid
Compiler

Compiled 265 to 203 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (37.6% of total)
ival-add: 4.0ms (37.6% of total)
ival-sub: 2.0ms (18.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch103.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
7.959669997981904e+41
3.066707375556581e+72
83.0ms
-6.41423006965059e-28
-4.228652839679352e-31
Results
89.0ms304×0valid
Compiler

Compiled 227 to 184 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-div: 76.0ms (95% of total)
ival-sub: 2.0ms (2.5% of total)
ival-add: 2.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
4.3538232823973884e+88
7.979483137279135e+89
9.0ms
-8.672207523885087e-24
-7.297000995865475e-25
Results
21.0ms208×0valid
Compiler

Compiled 148 to 117 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 12.0ms (80.7% of total)
ival-sub: 1.0ms (6.7% of total)
ival-add: 1.0ms (6.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify16.0ms (0.2%)

Algorithm
egg-herbie
Rules
12×if-if-or-not
+-commutative
sub-neg
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081883
1118883
2134883
3143883
4148883
5149883
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1612226962694291/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1612226962694291/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -4906163943676737/22300745198530623141535718272648361505980416 binary64)) (*.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 17599999999999999503292667214692352 binary64)) (/.f64 x (/.f64 (-.f64 z y) z)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))
(if (<=.f64 y #s(literal -1895563341875103/22300745198530623141535718272648361505980416 binary64)) (*.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 100000000000000005366162204393472 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))
(if (<=.f64 y #s(literal -1505300300900817/2787593149816327892691964784081045188247552 binary64)) (*.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 13000000000000000000000 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (*.f64 z (/.f64 y (-.f64 z y)))))
(if (<=.f64 y #s(literal -7136238463529799/11150372599265311570767859136324180752990208 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 650000000000000016861264570893712151161023451749154816 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (neg.f64 z)))
(if (<=.f64 y #s(literal -348449143727041/1393796574908163946345982392040522594123776 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 47000000000000001732810512109808112100001536307735862326359962419200 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 800000000000000004960069160326226555961344 binary64)) x (neg.f64 z)))
(if (<=.f64 y #s(literal -110591769249305/85070591730234615865843651857942052864 binary64)) y (if (<=.f64 y #s(literal 190000000000000011724495359268796544399751765205309447639573277495082284698349555066863616 binary64)) x y))
x
Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1612226962694291/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1612226962694291/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (/.f64 (+.f64 x y) (/.f64 (-.f64 z y) z)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1612226962694291/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (or (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1612226962694291/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -4906163943676737/22300745198530623141535718272648361505980416 binary64)) (*.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 17599999999999999503292667214692352 binary64)) (/.f64 x (/.f64 (-.f64 z y) z)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))
(if (<=.f64 y #s(literal -4906163943676737/22300745198530623141535718272648361505980416 binary64)) (*.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 17599999999999999503292667214692352 binary64)) (/.f64 x (/.f64 (-.f64 z y) z)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(if (<=.f64 y #s(literal -1895563341875103/22300745198530623141535718272648361505980416 binary64)) (*.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 100000000000000005366162204393472 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))
(if (<=.f64 y #s(literal -1895563341875103/22300745198530623141535718272648361505980416 binary64)) (*.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 100000000000000005366162204393472 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(if (<=.f64 y #s(literal -1505300300900817/2787593149816327892691964784081045188247552 binary64)) (*.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 13000000000000000000000 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (*.f64 z (/.f64 y (-.f64 z y)))))
(if (or (<=.f64 y #s(literal -1505300300900817/2787593149816327892691964784081045188247552 binary64)) (not (<=.f64 y #s(literal 13000000000000000000000 binary64)))) (*.f64 z (/.f64 y (-.f64 z y))) (*.f64 x (/.f64 z (-.f64 z y))))
(if (<=.f64 y #s(literal -7136238463529799/11150372599265311570767859136324180752990208 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 650000000000000016861264570893712151161023451749154816 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (neg.f64 z)))
(if (or (<=.f64 y #s(literal -7136238463529799/11150372599265311570767859136324180752990208 binary64)) (not (<=.f64 y #s(literal 650000000000000016861264570893712151161023451749154816 binary64)))) (neg.f64 z) (*.f64 x (/.f64 z (-.f64 z y))))
(if (<=.f64 y #s(literal -348449143727041/1393796574908163946345982392040522594123776 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 47000000000000001732810512109808112100001536307735862326359962419200 binary64)) (+.f64 y x) (neg.f64 z)))
(if (or (<=.f64 y #s(literal -348449143727041/1393796574908163946345982392040522594123776 binary64)) (not (<=.f64 y #s(literal 47000000000000001732810512109808112100001536307735862326359962419200 binary64)))) (neg.f64 z) (+.f64 x y))
(if (<=.f64 y #s(literal -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 800000000000000004960069160326226555961344 binary64)) x (neg.f64 z)))
(if (or (<=.f64 y #s(literal -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) (not (<=.f64 y #s(literal 800000000000000004960069160326226555961344 binary64)))) (neg.f64 z) x)
(if (<=.f64 y #s(literal -110591769249305/85070591730234615865843651857942052864 binary64)) y (if (<=.f64 y #s(literal 190000000000000011724495359268796544399751765205309447639573277495082284698349555066863616 binary64)) x y))
x

soundness1.1s (15.6%)

Rules
1074×log1p-expm1-u
883×times-frac
594×associate-*r*
511×fma-neg
495×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04708901
112287507
246857245
090716354
1229415715
097216811
1256814932
022176
1369158
26308158
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 613 to 218 computations (64.4% saved)

preprocess82.0ms (1.2%)

Compiler

Compiled 556 to 204 computations (63.3% saved)

end0.0ms (0%)

Profiling

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