Diagrams.TwoD.Apollonian:descartes from diagrams-contrib-1.3.0.5

Time bar (total: 15.0s)

analyze463.0ms (3.1%)

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
25%25%74.9%0.1%0%0%0%7
25%25%74.9%0.1%0%0%0%8
26.2%25%70.2%0.1%0%4.7%0%9
28.9%25%61.4%0.1%0%13.5%0%10
31.2%26.3%58%0.1%0%15.5%0%11
37.2%28.9%48.7%0.1%0%22.3%0%12
Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 68.0ms (59% of total)
ival-add: 25.0ms (21.7% of total)
ival-sqrt: 19.0ms (16.5% of total)
const: 2.0ms (1.7% of total)
backward-pass: 1.0ms (0.9% of total)

sample2.3s (15.2%)

Results
1.3s8256×0valid
360.0ms4494×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 756.0ms (64.9% of total)
ival-add: 263.0ms (22.6% of total)
ival-sqrt: 123.0ms (10.6% of total)
const: 19.0ms (1.6% of total)
backward-pass: 5.0ms (0.4% of total)
Bogosity

preprocess218.0ms (1.4%)

Algorithm
egg-herbie
Rules
843×fma-neg
694×fma-define
234×cancel-sign-sub-inv
147×sub-neg
102×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 y z)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 z x)) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x z) (*.f64 x y)) (*.f64 z y))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 (neg.f64 y) z) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 y (-.f64 z x)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (neg.f64 z) (*.f64 x (-.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 y z) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (fma.f64 y z (*.f64 x (-.f64 z y))))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z)))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (neg.f64 x) (+.f64 y z)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (neg.f64 y) z) (*.f64 y z))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y (-.f64 z x)) (*.f64 x z))) #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z)))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (*.f64 y (neg.f64 z)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y z)) (*.f64 y z))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (neg.f64 z) (*.f64 x (-.f64 z y)))) #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) (*.f64 y (neg.f64 z)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y z (*.f64 x (-.f64 z y))))) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 y z)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 z x)) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x z) (*.f64 x y)) (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
Symmetry

(sort x y z)

explain172.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
790-0-(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
60-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
20-0-(+.f64 (*.f64 x y) (*.f64 x z))
00-0-x
00-0-(*.f64 y z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
00-0-(*.f64 x y)
00-0-(*.f64 x z)
00-0-z
Results
97.0ms512×0valid
Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-sqrt: 45.0ms (65.1% of total)
ival-mult: 17.0ms (24.6% of total)
ival-add: 6.0ms (8.7% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 20 computations (45.9% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
70.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
70.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Compiler

Compiled 46 to 30 computations (34.8% saved)

localize172.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (+.f64 x z))
cost-diff0
(fma.f64 x z (*.f64 y (+.f64 x z)))
cost-diff0
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 x y)
cost-diff128
(+.f64 (*.f64 x y) (*.f64 x z))
cost-diff-6272
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 z (+.f64 y x))
cost-diff0
(*.f64 x y)
accuracy100.0%
(*.f64 y (+.f64 x z))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
accuracy100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
accuracy70.9%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
accuracy99.3%
(+.f64 (*.f64 x y) (*.f64 x z))
accuracy98.1%
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
accuracy70.9%
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
accuracy100.0%
(*.f64 z (+.f64 y x))
accuracy98.7%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
accuracy70.9%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Rules
25×fma-define
24×fma-define
24×fma-define
+-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017183
130183
247183
365183
479183
581183
018208
130196
252196
371196
475196
576196
017170
128170
239170
355170
475170
579170
680170
Stop Event
saturated
saturated
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
Call 2
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x y)
x
y
(*.f64 x z)
z
(*.f64 y z)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
(sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 z x))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x y)
x
y
(*.f64 x z)
z
(*.f64 y z)
Call 3
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(*.f64 x y)
x
y
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 z y))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 y z (*.f64 x (+.f64 z y)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 x y)
x
y
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
z
(+.f64 y x)
(+.f64 x y)
Results
110.0ms256×0valid
Compiler

Compiled 147 to 22 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 14.0ms (45.9% of total)
ival-add: 7.0ms (23% of total)
ival-sqrt: 6.0ms (19.7% of total)
ival-fma: 3.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series95.0ms (0.6%)

Counts
16 → 438
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))>
#<alt (*.f64 z (+.f64 y x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))>
#<alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))>
#<alt (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))>
#<alt (fma.f64 x z (*.f64 y (+.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 x y)>
#<alt (+.f64 y x)>
#<alt (*.f64 x z)>
#<alt (*.f64 y z)>
Outputs
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))>
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#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<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))))>
#<alt y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x 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))))>
Calls

132 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(sqrt (+ (* x z) (* y (+ x z))))
2.0ms
x
@-inf
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
2.0ms
z
@-inf
(* 2 (sqrt (+ (* x y) (* z (+ y x)))))
2.0ms
x
@-inf
(sqrt (+ (* x y) (* z (+ y x))))
2.0ms
z
@-inf
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite486.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
774×log1p-expm1-u
212×add-cube-cbrt
212×expm1-log1p-u
208×add-exp-log
208×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029484
1464484
26933484
Stop Event
node limit
Counts
16 → 509
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(+.f64 y x)
(*.f64 x z)
(*.f64 y z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(*.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(hypot.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 y z)))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(hypot.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 y (+.f64 x z))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 x (+.f64 y z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z (+.f64 x y))))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 (+.f64 y z) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
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simplify573.0ms (3.8%)

Algorithm
egg-herbie
Rules
650×distribute-rgt-in
643×distribute-lft-in
389×*-commutative
273×associate-+r+
195×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0117566063
1339364595
Stop Event
node limit
Counts
947 → 711
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
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(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 y z)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x 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 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 y x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(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)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.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 y y (*.f64 x (-.f64 x y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x 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))
(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 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(-.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))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x 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 z))) #s(literal 1 binary64))
(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))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 y z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (+.f64 y z) #s(literal 5 binary64)))) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 y z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 (neg.f64 y) z))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 y) z))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x)))) (neg.f64 x))
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eval231.0ms (1.5%)

Compiler

Compiled 19712 to 3489 computations (82.3% saved)

prune242.0ms (1.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New70720727
Fresh000
Picked303
Done000
Total71020730
Accuracy
83.9%
Counts
730 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.1%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
42.4%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
36.6%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
70.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
70.0%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))))
70.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
70.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64)))))
42.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x)))))
35.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
36.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
46.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
61.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
37.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
34.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
50.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
36.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
49.8%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64))))
Compiler

Compiled 674 to 448 computations (33.5% saved)

localize828.0ms (5.5%)

Algorithm
egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff6592
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
cost-diff6592
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
cost-diff12864
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
cost-diff12864
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
cost-diff-6144
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 x (/.f64 y z))
cost-diff0
(+.f64 y x)
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 z (+.f64 y x))
cost-diff0
(sqrt.f64 (*.f64 z (+.f64 y x)))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
cost-diff0
(*.f64 y x)
cost-diff0
(sqrt.f64 (*.f64 y x))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
cost-diff-6144
(sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))
cost-diff-6144
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
cost-diff0
(*.f64 x z)
cost-diff0
(/.f64 (*.f64 x z) y)
accuracy100.0%
(sqrt.f64 (+.f64 x y))
accuracy100.0%
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
accuracy99.8%
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
accuracy91.5%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
accuracy100.0%
(*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))
accuracy99.9%
(*.f64 x (/.f64 y z))
accuracy91.5%
(sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z)))))
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
accuracy100.0%
(*.f64 z (+.f64 y x))
accuracy91.5%
(sqrt.f64 (*.f64 z (+.f64 y x)))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
accuracy94.4%
(sqrt.f64 (*.f64 y x))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
accuracy100.0%
(*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))
accuracy96.9%
(/.f64 (*.f64 x z) y)
accuracy91.5%
(sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))
Rules
1761×fma-define
1676×fma-define
1275×associate-*r*
1110×associate-*r*
1011×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018280
133260
262260
3131248
4213248
5273230
6351230
7615230
81518230
93285230
104214230
114351230
124414230
134418230
144418230
155864230
165891230
175892230
185892230
195892230
205892230
215986230
226038230
236038230
01262
11462
015106
124106
232106
334106
018262
133246
275234
3153234
4225216
5322216
6584216
71474216
83209216
94136216
104257216
114315216
124317216
134317216
145624216
155649216
165650216
175650216
185650216
195650216
205739216
215781216
225781216
019273
127213
235213
349213
477213
5101213
6107213
7109213
Stop Event
saturated
node limit
saturated
saturated
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))
(*.f64 x y)
x
y
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
z
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 x y (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))
(fma.f64 x y (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(*.f64 x y)
x
y
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 z (+.f64 x y))
z
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 x y)
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
Call 2
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))
z
(+.f64 (+.f64 y x) (*.f64 x (/.f64 y z)))
(+.f64 y x)
y
x
(*.f64 x (/.f64 y z))
(/.f64 y z)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 x (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 (*.f64 y #s(literal 1 binary64)) z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z)))))
(sqrt.f64 (*.f64 z (+.f64 y (+.f64 x (*.f64 x (/.f64 y z))))))
(sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))
(sqrt.f64 (*.f64 z (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y)))
(sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 (*.f64 y #s(literal 1 binary64)) z))))
(sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y))))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (+.f64 x (*.f64 x (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))
(*.f64 z (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y))
(fma.f64 z y (*.f64 x (+.f64 (*.f64 y #s(literal 1 binary64)) z)))
(fma.f64 z y (*.f64 x (+.f64 z y)))
(fma.f64 z x (*.f64 y (+.f64 z x)))
z
(+.f64 (+.f64 y x) (*.f64 x (/.f64 y z)))
(+.f64 y (+.f64 x (*.f64 x (/.f64 y z))))
(fma.f64 x (/.f64 y z) (+.f64 y x))
(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 (/.f64 x z) #s(literal 1 binary64)) x)
(+.f64 y x)
y
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 y z)
Call 3
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
Call 4
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
Call 5
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))
y
(+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))
x
(+.f64 z (/.f64 (*.f64 x z) y))
z
(/.f64 (*.f64 x z) y)
(*.f64 x z)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 (+.f64 x z) (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (fma.f64 z (/.f64 x y) x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (fma.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x (*.f64 z #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))
(sqrt.f64 (*.f64 y (+.f64 (+.f64 x z) (*.f64 x (/.f64 z y)))))
(sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))
(sqrt.f64 (*.f64 y (+.f64 z (fma.f64 z (/.f64 x y) x))))
(sqrt.f64 (*.f64 y (fma.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) x z)))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x (*.f64 z #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 (+.f64 x z) (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))
(*.f64 y (+.f64 z (fma.f64 z (/.f64 x y) x)))
(*.f64 y (fma.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) x z))
(fma.f64 y (+.f64 x z) (*.f64 x (*.f64 z #s(literal 1 binary64))))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
y
(+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))
(+.f64 (+.f64 x z) (*.f64 x (/.f64 z y)))
(+.f64 x (fma.f64 x (/.f64 z y) z))
(+.f64 z (fma.f64 z (/.f64 x y) x))
(fma.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) x z)
(fma.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)) z)
x
(+.f64 z (/.f64 (*.f64 x z) y))
(+.f64 z (*.f64 x (/.f64 z y)))
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
z
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 x z)
Results
109.0ms188×0invalid
25.0ms68×0valid
Compiler

Compiled 240 to 33 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-div: 48.0ms (49.9% of total)
ival-mult: 24.0ms (25% of total)
ival-sqrt: 12.0ms (12.5% of total)
ival-add: 8.0ms (8.3% of total)
ival-pow: 4.0ms (4.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series200.0ms (1.3%)

Counts
19 → 549
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))>
#<alt (sqrt.f64 (*.f64 y x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))>
#<alt (*.f64 y x)>
#<alt (sqrt.f64 (*.f64 z (+.f64 y x)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z)))))>
#<alt (*.f64 x (/.f64 y z))>
#<alt (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))>
#<alt (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))>
#<alt (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (+.f64 x y))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))>
Outputs
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))>
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#<alt (*.f64 y z)>
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#<alt (*.f64 y z)>
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#<alt (sqrt.f64 x)>
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#<alt (sqrt.f64 y)>
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#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))>
Calls

153 calls:

TimeVariablePointExpression
35.0ms
z
@-inf
(sqrt (* z (+ (+ y x) (* x (/ y z)))))
23.0ms
z
@-inf
(* 2 (sqrt (* y (+ x (+ z (/ (* x z) y))))))
17.0ms
y
@-inf
(* 2 (sqrt (* z (+ (+ y x) (* x (/ y z))))))
13.0ms
z
@-inf
(sqrt (* y (+ x (+ z (/ (* x z) y)))))
5.0ms
z
@0
(sqrt (* z (+ y x)))

rewrite196.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
294×log1p-expm1-u
294×expm1-log1p-u
288×add-cube-cbrt
287×add-exp-log
287×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039628
1732604
Stop Event
node limit
Counts
19 → 426
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))
(/.f64 (*.f64 x z) y)
(*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
(sqrt.f64 (*.f64 y x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 y x)
(sqrt.f64 (*.f64 z (+.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z)))))
(*.f64 x (/.f64 y z))
(*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 x y))
(/.f64 y z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))) (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 z y) z))))
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 z y) z))) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))))
(pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (neg.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(*.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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.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 (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)))
(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))
(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)))
(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 (*.f64 y x) (*.f64 y (fma.f64 x (/.f64 z y) z)))
(+.f64 (*.f64 y x) (*.f64 (fma.f64 x (/.f64 z y) z) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 x (/.f64 z y) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (fma.f64 x (/.f64 z y) z)) (*.f64 y (fma.f64 x (/.f64 z y) z))) (*.f64 (*.f64 y x) (*.f64 y (fma.f64 x (/.f64 z y) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x (/.f64 z y) z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 x (/.f64 z y) z) y) (*.f64 (fma.f64 x (/.f64 z y) z) y)) (*.f64 (*.f64 y x) (*.f64 (fma.f64 x (/.f64 z y) z) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y (fma.f64 x (/.f64 z y) z)) (*.f64 y (fma.f64 x (/.f64 z y) z)))) (-.f64 (*.f64 y x) (*.f64 y (fma.f64 x (/.f64 z y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x (/.f64 z y) z) y) (*.f64 (fma.f64 x (/.f64 z y) z) y))) (-.f64 (*.f64 y x) (*.f64 (fma.f64 x (/.f64 z y) z) y)))
(pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x (fma.f64 x (/.f64 z y) z))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x (fma.f64 x (/.f64 z y) z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (fma.f64 x (/.f64 z y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x (fma.f64 x (/.f64 z y) z)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
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(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 (*.f64 z y) (*.f64 x z))
(+.f64 (*.f64 y z) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
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(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
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(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
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(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
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(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
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simplify712.0ms (4.7%)

Algorithm
egg-herbie
Rules
905×*-commutative
399×+-commutative
360×associate-*r*
285×fma-define
242×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0229564360
1698062278
Stop Event
node limit
Counts
975 → 1239
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) (sqrt.f64 (/.f64 y z)))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 z y)))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))))))))
(sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))) z))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))) z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 5 binary64))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z y))))) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)) #s(literal 5 binary64))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) z)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) z)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) z)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y z)
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (*.f64 y z))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (*.f64 y z))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (*.f64 y z))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) (/.f64 (*.f64 y z) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 x y) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 x y) (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (*.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))))
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(*.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 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #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 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.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 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.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 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 y x)))
(exp.f64 (log.f64 (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 (*.f64 z y) (*.f64 x z))
(+.f64 (*.f64 y z) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 x z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 (*.f64 z y) (*.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 x z)))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 x z))
(fma.f64 z y (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x)))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 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)) #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))
(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)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) (*.f64 y (+.f64 x z))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (+.f64 x z)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (pow.f64 (+.f64 x z) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (+.f64 x z)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (pow.f64 (+.f64 x z) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))))))
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(sqrt.f64 x)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))))
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(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 1 binary64)))
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eval465.0ms (3.1%)

Compiler

Compiled 39623 to 6732 computations (83% saved)

prune704.0ms (4.7%)

Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1392301422
Fresh12315
Picked235
Done000
Total1406361442
Accuracy
88.0%
Counts
1442 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
37.1%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
3.6%
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
44.5%
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))
42.4%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
46.5%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z))) (*.f64 x (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))))
37.0%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
37.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
34.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
37.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
64.6%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
51.7%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
1.3%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
33.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
44.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))))
36.1%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))))))
37.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
33.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 x z))))
36.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
45.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
32.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
35.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
37.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
58.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
37.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
37.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
37.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 y x)))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))))
70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
34.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
17.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
36.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
35.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
26.8%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
35.6%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))))
Compiler

Compiled 1111 to 782 computations (29.6% saved)

localize435.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 z (+.f64 y x)))
cost-diff0
(cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
cost-diff12864
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
cost-diff12864
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
cost-diff6528
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff0
(*.f64 x (/.f64 y z))
cost-diff256
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
cost-diff256
(sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
cost-diff256
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
cost-diff0
(*.f64 x z)
cost-diff0
(sqrt.f64 (*.f64 x z))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
cost-diff0
(fma.f64 x (/.f64 y z) (+.f64 y x))
cost-diff0
(sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
accuracy100.0%
(*.f64 z (+.f64 y x))
accuracy99.8%
(cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
accuracy99.7%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
accuracy91.5%
(sqrt.f64 (*.f64 z (+.f64 y x)))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy99.8%
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy94.4%
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
accuracy100.0%
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
accuracy99.9%
(*.f64 x (/.f64 y z))
accuracy91.5%
(sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
accuracy100.0%
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
accuracy100.0%
(*.f64 x z)
accuracy97.0%
(sqrt.f64 (*.f64 x z))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
accuracy100.0%
(sqrt.f64 z)
accuracy100.0%
(sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x)))
accuracy99.9%
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))
Rules
1169×associate-/r*
936×fma-define
728×times-frac
509×associate-/r/
372×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019235
126235
241235
359223
469223
580223
695223
7124223
8151223
9191223
10204223
11205223
01262
11462
017213
129197
251197
371188
485155
5125155
6256155
7665155
82865155
94145155
104450155
114571155
124661155
134801155
144924155
157213155
01398
11686
22382
32682
018163
131163
245163
352163
Stop Event
saturated
saturated
node limit
saturated
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
#s(literal 3 binary64)
Call 2
Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(*.f64 y x)
y
x
#s(literal 1/4 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 y x))
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(*.f64 y x)
y
x
#s(literal 1/4 binary64)
Call 3
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
z
(+.f64 y (*.f64 x (/.f64 y z)))
y
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1 binary64)) (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z x))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
(sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))
(sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1 binary64)) (*.f64 z y)))
(sqrt.f64 (*.f64 y (+.f64 z x)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(fma.f64 x (*.f64 y #s(literal 1 binary64)) (*.f64 z y))
(*.f64 y (+.f64 z x))
z
(+.f64 y (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 y (/.f64 x z) y)
y
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
x
(/.f64 y z)
Call 4
Inputs
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x z))
(*.f64 x z)
x
z
#s(literal 2 binary64)
Outputs
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x z))
(*.f64 x z)
x
z
#s(literal 2 binary64)
Call 5
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))
(sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x)))
(fma.f64 x (/.f64 y z) (+.f64 y x))
x
(/.f64 y z)
y
z
(+.f64 y x)
(sqrt.f64 z)
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)) y)) (sqrt.f64 z)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (sqrt.f64 z))
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)) y)) (sqrt.f64 z))
(sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x)))
(sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))
(sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y)))
(sqrt.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y))
(sqrt.f64 (fma.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)) y))
(fma.f64 x (/.f64 y z) (+.f64 y x))
(fma.f64 x (/.f64 y z) (+.f64 x y))
(+.f64 x (fma.f64 x (/.f64 y z) y))
(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)) y)
x
(/.f64 y z)
y
z
(+.f64 y x)
(+.f64 x y)
(sqrt.f64 z)
Results
106.0ms188×0invalid
26.0ms68×0valid
Compiler

Compiled 199 to 31 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 18.0ms (30% of total)
ival-pow: 15.0ms (25% of total)
ival-sqrt: 14.0ms (23.3% of total)
ival-add: 4.0ms (6.7% of total)
ival-div: 3.0ms (5% of total)
ival-fma: 3.0ms (5% of total)
ival-cbrt: 3.0ms (5% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series473.0ms (3.1%)

Counts
16 → 468
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))>
#<alt (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x)))>
#<alt (sqrt.f64 z)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))>
#<alt (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))>
#<alt (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))>
#<alt (fma.f64 x (/.f64 y z) (+.f64 y x))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))>
Outputs
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 z y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y)))))>
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#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))))>
Calls

123 calls:

TimeVariablePointExpression
113.0ms
z
@inf
(cbrt (sqrt (* z (+ y x))))
74.0ms
x
@-inf
(pow (* y x) 1/4)
57.0ms
z
@0
(cbrt (sqrt (* z (+ y x))))
45.0ms
y
@-inf
(pow (* y x) 1/4)
27.0ms
y
@0
(pow (* y x) 1/4)

rewrite311.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
464×log1p-expm1-u
296×associate-*r*
252×expm1-log1p-u
248×add-exp-log
248×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038513
1599495
27659495
Stop Event
node limit
Counts
16 → 346
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))
(sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x)))
(sqrt.f64 z)
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
(sqrt.f64 (*.f64 x z))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
(fma.f64 x (/.f64 y z) (+.f64 y x))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(hypot.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 x z))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (sqrt.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))) (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(*.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) (cbrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 (fma.f64 x (/.f64 y z) y))))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x (/.f64 y z) y))))
(*.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3/2 binary64)))
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(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
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(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) (+.f64 x y)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(*.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 z (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (-.f64 y x)) (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 z (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 y z)) (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 y z)) (+.f64 x y)))
(pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 1 binary64)))

simplify826.0ms (5.5%)

Algorithm
egg-herbie
Rules
788×*-commutative
548×associate-+r+
372×+-commutative
275×associate-*r*
243×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0199749901
1569147675
Stop Event
node limit
Counts
814 → 983
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 z y)))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))
(sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 5 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
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(+.f64 (+.f64 x y) (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 x (/.f64 y z)) (+.f64 x y))
(+.f64 (fma.f64 x (/.f64 y z) y) x)
(+.f64 (+.f64 (*.f64 x (/.f64 y z)) x) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) (+.f64 x y)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(*.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 z (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (-.f64 y x)) (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 z (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 y z)) (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 y z)) (+.f64 x y)))
(pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 z y)))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (/.f64 z y))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (/.f64 y z) x) (sqrt.f64 (/.f64 z y)))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (/.f64 z y)))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (/.f64 z y))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64))))))))))))
(sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))
(*.f64 x (+.f64 (sqrt.f64 (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (pow.f64 x #s(literal 3 binary64)))))) y)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y)))))
(*.f64 x (+.f64 (sqrt.f64 (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (pow.f64 x #s(literal 3 binary64)))))) y))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 5 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))))
(*.f64 x (+.f64 (sqrt.f64 (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (pow.f64 x #s(literal 3 binary64)))))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z x) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z x) (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 z (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) x))))))
(*.f64 x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 z (/.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) x)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 z (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) x)))))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64))) (pow.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 z (/.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) x))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 z (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) x))))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64))) (pow.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64))) (pow.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 z (/.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) x))))))) (neg.f64 x))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 z x))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
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(+.f64 y (fma.f64 x (/.f64 y z) x))
(+.f64 (+.f64 (*.f64 x (/.f64 y z)) x) y)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y (fma.f64 x (/.f64 y z) x))))
(*.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1 binary64))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) (+.f64 x y)))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64)))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(*.f64 (cbrt.f64 (+.f64 y (fma.f64 x (/.f64 y z) x))) (*.f64 (sqrt.f64 (+.f64 y (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (sqrt.f64 (+.f64 y (fma.f64 x (/.f64 y z) x))))))
(*.f64 (cbrt.f64 (+.f64 y (fma.f64 x (/.f64 y z) x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y (fma.f64 x (/.f64 y z) x)))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(*.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1/4 binary64)))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y (fma.f64 x (/.f64 y z) x)))) (*.f64 (sqrt.f64 (+.f64 y (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (+.f64 y (fma.f64 x (/.f64 y z) x)))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 z (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (fma.f64 (*.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 z (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (-.f64 y x)) (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 z (-.f64 y x)))
(/.f64 (fma.f64 (*.f64 y x) (-.f64 y x) (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 z (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 y z)) (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 x (*.f64 (/.f64 y z) (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 y z)) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 y z)) (+.f64 y x)))
(pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 1 binary64))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 2 binary64))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 3 binary64))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 y (fma.f64 x (/.f64 y z) x)))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 y (fma.f64 x (/.f64 y z) x)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)))))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 x y)) #s(literal 3 binary64)))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(expm1.f64 (log1p.f64 (+.f64 y (fma.f64 x (/.f64 y z) x))))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) (+.f64 x y))) #s(literal 1 binary64)))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 y (fma.f64 x (/.f64 y z) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 y x) #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))

eval185.0ms (1.2%)

Compiler

Compiled 30552 to 5518 computations (81.9% saved)

prune307.0ms (2%)

Pruning

40 alts after pruning (34 fresh and 6 done)

PrunedKeptTotal
New1164161180
Fresh101828
Picked235
Done033
Total1176401216
Accuracy
98.6%
Counts
1216 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.8%
(*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
3.6%
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64))
3.6%
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))) #s(literal 2 binary64))
37.1%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
3.6%
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
6.9%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 z x))) #s(literal 2 binary64))
44.5%
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))
46.5%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
37.0%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
34.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
39.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
41.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
39.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)))
51.5%
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))))
9.7%
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 y x)))))) z) (sqrt.f64 z)))
51.7%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
13.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 z)))
14.8%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 z)))
50.9%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
33.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
51.3%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 z) (*.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 z)))))
37.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
33.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 x z))))
36.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
32.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
35.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
37.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
58.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
58.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
37.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
37.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))))
70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
34.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
17.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
36.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
26.8%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
35.6%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))))
3.6%
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))))
Compiler

Compiled 1099 to 808 computations (26.5% saved)

localize746.0ms (5%)

Algorithm
egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))
cost-diff0
(pow.f64 z #s(literal 1/4 binary64))
cost-diff6656
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y))))
cost-diff6656
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))))
cost-diff0
(cbrt.f64 (*.f64 y x))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
cost-diff12864
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)))
cost-diff12864
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
cost-diff0
(sqrt.f64 z)
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
cost-diff0
(*.f64 y z)
cost-diff0
(sqrt.f64 (*.f64 y z))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
cost-diff0
(/.f64 x (/.f64 z y))
cost-diff256
(*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))
cost-diff256
(sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y)))))
cost-diff256
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))))
accuracy100.0%
(sqrt.f64 (+.f64 x y))
accuracy99.9%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y))))
accuracy99.8%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
accuracy99.7%
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
accuracy94.4%
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)))
accuracy94.3%
(cbrt.f64 (*.f64 y x))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
accuracy100.0%
(sqrt.f64 z)
accuracy100.0%
(sqrt.f64 y)
accuracy99.9%
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
accuracy100.0%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
accuracy100.0%
(*.f64 y z)
accuracy91.5%
(sqrt.f64 (*.f64 y z))
accuracy100.0%
(*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
accuracy100.0%
(/.f64 x (/.f64 z y))
accuracy91.5%
(sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y)))))
Rules
1434×associate-/r/
1250×fma-define
852×cube-prod
680×associate-/l/
448×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017213
128197
248197
387197
4122161
5172155
6405155
71430155
82608155
93122155
103375155
113381155
123460155
133461155
144515155
154989155
165513155
176407155
187287155
197843155
01262
11462
01373
11773
22473
32673
01593
12193
018186
126156
245152
362152
Stop Event
saturated
saturated
saturated
saturated
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))))
#s(literal 2 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y))))
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 z #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))
#s(literal 2 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z))
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y
Call 2
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
#s(literal 2 binary64)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 y x)
(cbrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 3 binary64)
Call 3
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
y
(sqrt.f64 z)
z
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
y
(sqrt.f64 z)
z
Call 4
Inputs
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
#s(literal 2 binary64)
Outputs
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
#s(literal 2 binary64)
Call 5
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y)))))
(*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))
z
(+.f64 y (/.f64 x (/.f64 z y)))
y
(/.f64 x (/.f64 z y))
x
(/.f64 z y)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 (/.f64 x z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fma.f64 (/.f64 x z) y y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fma.f64 y (/.f64 x z) y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 1 binary64) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z x))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y)))))
(sqrt.f64 (*.f64 z (+.f64 y (*.f64 (/.f64 x z) y))))
(sqrt.f64 (*.f64 z (fma.f64 (/.f64 x z) y y)))
(sqrt.f64 (*.f64 z (fma.f64 y (/.f64 x z) y)))
(sqrt.f64 (*.f64 y (fma.f64 x #s(literal 1 binary64) z)))
(sqrt.f64 (*.f64 y (+.f64 z x)))
(*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))
(*.f64 z (+.f64 y (*.f64 (/.f64 x z) y)))
(*.f64 z (fma.f64 (/.f64 x z) y y))
(*.f64 z (fma.f64 y (/.f64 x z) y))
(*.f64 y (fma.f64 x #s(literal 1 binary64) z))
(*.f64 y (+.f64 z x))
z
(+.f64 y (/.f64 x (/.f64 z y)))
(+.f64 y (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 x z) y y)
(fma.f64 y (/.f64 x z) y)
y
(/.f64 x (/.f64 z y))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
x
(/.f64 z y)
Results
464.0ms188×0invalid
25.0ms68×0valid
Compiler

Compiled 171 to 31 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 17.0ms (32% of total)
ival-pow: 13.0ms (24.5% of total)
ival-sqrt: 11.0ms (20.7% of total)
ival-div: 6.0ms (11.3% of total)
ival-add: 3.0ms (5.6% of total)
ival-cbrt: 2.0ms (3.8% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series180.0ms (1.2%)

Counts
17 → 444
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y)))))>
#<alt (/.f64 x (/.f64 z y))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))>
#<alt (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))>
#<alt (*.f64 (sqrt.f64 y) (sqrt.f64 z))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))>
#<alt (cbrt.f64 (*.f64 y x))>
#<alt (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))>
#<alt (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))))>
#<alt (pow.f64 z #s(literal 1/4 binary64))>
Outputs
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y x)) z)))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) z)))))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 y x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 y x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 y x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 7 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))>
Calls

117 calls:

TimeVariablePointExpression
68.0ms
z
@0
(* (pow z 1/4) (sqrt (+ x y)))
27.0ms
y
@inf
(cbrt (* y x))
16.0ms
z
@-inf
(* (pow z 1/4) (sqrt (+ x y)))
9.0ms
z
@inf
(* (pow z 1/4) (sqrt (+ x y)))
2.0ms
x
@-inf
(sqrt (* z (+ y (/ x (/ z y)))))

rewrite263.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
713×log1p-expm1-u
284×associate-*r*
235×add-cube-cbrt
234×expm1-log1p-u
232×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037456
1594400
27319400
Stop Event
node limit
Counts
17 → 383
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y)))))
(/.f64 x (/.f64 z y))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
(*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))
(sqrt.f64 (*.f64 y z))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 y)
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(cbrt.f64 (*.f64 y x))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))))
(pow.f64 z #s(literal 1/4 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (sqrt.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x (/.f64 y z) y))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))) (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(*.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) (cbrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 (fma.f64 x (/.f64 y z) y))))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))))
(*.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))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (/.f64 (neg.f64 z) y)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 z y) (*.f64 z (*.f64 x (/.f64 y z))))
(+.f64 (*.f64 z y) (*.f64 (*.f64 z (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (*.f64 x (/.f64 y z))) (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 x (/.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 x (/.f64 y z))) (*.f64 z (*.f64 x (/.f64 y z)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 x (/.f64 y z)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 x (/.f64 y z))) (*.f64 z (*.f64 x (/.f64 y z))))) (-.f64 (*.f64 z y) (*.f64 z (*.f64 x (/.f64 y z)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (*.f64 x (/.f64 y z)) (-.f64 (*.f64 x (/.f64 y z)) y))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 (*.f64 x (/.f64 y z)) (-.f64 (*.f64 x (/.f64 y z)) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) z) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 x (/.f64 y z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64)))
(fma.f64 z y (*.f64 z (*.f64 x (/.f64 y z))))
(fma.f64 y z (*.f64 z (*.f64 x (/.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z (*.f64 x (/.f64 y z))))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 z (*.f64 x (/.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 z (*.f64 x (/.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z y)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z y))) (cbrt.f64 (*.f64 z y)))
(*.f64 (cbrt.f64 (*.f64 z y)) (cbrt.f64 (sqrt.f64 (*.f64 z y))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 1/2 binary64)))
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(*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
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(pow.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 (sqrt.f64 z))))
(sqrt.f64 (sqrt.f64 z))
(fabs.f64 (pow.f64 z #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1 binary64)))

simplify493.0ms (3.3%)

Algorithm
egg-herbie
Rules
498×distribute-lft-in
496×distribute-rgt-in
480×*-commutative
333×+-commutative
298×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0130531961
1345330350
2783830346
Stop Event
node limit
Counts
827 → 740
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y x)) z)))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) z)))))))
(sqrt.f64 (*.f64 y z))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))))))))
(sqrt.f64 (*.f64 x y))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 y x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 y x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 y x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 7 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) z))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 y x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 (sqrt.f64 z))))
(sqrt.f64 (sqrt.f64 z))
(fabs.f64 (pow.f64 z #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y x)) z)))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x))) z))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x))))))
(+.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 z (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x))))) (sqrt.f64 (*.f64 x y)))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) z)))))))
(+.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 z (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))))))))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 y z))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 y z)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(pow.f64 z #s(literal 1/4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 1/4 binary64)))))
(pow.f64 z #s(literal 1/4 binary64))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(pow.f64 z #s(literal 1/4 binary64))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 1/4 binary64))))
(pow.f64 z #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)))
(pow.f64 z #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1 binary64)))
(pow.f64 z #s(literal 1/4 binary64))

eval162.0ms (1.1%)

Compiler

Compiled 18624 to 3719 computations (80% saved)

prune234.0ms (1.6%)

Pruning

45 alts after pruning (35 fresh and 10 done)

PrunedKeptTotal
New88410894
Fresh42529
Picked145
Done066
Total88945934
Accuracy
98.6%
Counts
934 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.8%
(*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
3.6%
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64))
50.8%
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) #s(literal 2 binary64))
50.8%
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z))) #s(literal 2 binary64))
50.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) #s(literal 2 binary64))
36.7%
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))) #s(literal 2 binary64))
3.6%
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))) #s(literal 2 binary64))
37.1%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
3.6%
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
6.9%
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 z x))) #s(literal 2 binary64))
44.5%
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))
37.0%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
34.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
39.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
41.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
33.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
39.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)))
50.8%
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
51.5%
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))))
9.7%
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 y x)))))) z) (sqrt.f64 z)))
51.7%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
13.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 z)))
14.8%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 z)))
50.8%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
50.9%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
47.3%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))))
44.3%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 z)))
33.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 x z))))
36.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
33.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))))
32.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
35.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
37.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
58.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
58.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
37.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
37.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))))
70.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
34.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
17.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
36.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
35.6%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))))
3.6%
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))))
Compiler

Compiled 1665 to 859 computations (48.4% saved)

regimes147.0ms (1%)

Counts
79 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 z x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 z)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z))) #s(literal 2 binary64))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x)))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z))) (*.f64 x (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))))
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 z) (*.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 y x)))))) z) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))))
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
Calls

6 calls:

24.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
23.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
23.0ms
z
22.0ms
x
22.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
92.0%3x
97.0%3y
91.3%2z
87.3%3(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
87.3%3(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
87.3%3(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes72.0ms (0.5%)

Counts
75 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 z x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 z)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z))) #s(literal 2 binary64))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x)))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z))) (*.f64 x (sqrt.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))))
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 z) (*.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 z)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
Calls

3 calls:

22.0ms
y
22.0ms
x
22.0ms
z
Results
AccuracySegmentsBranch
82.9%2x
86.8%2z
86.5%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes38.0ms (0.3%)

Counts
55 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 z x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 z)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 x z) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z))) #s(literal 2 binary64))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
Calls

2 calls:

17.0ms
z
15.0ms
y
Results
AccuracySegmentsBranch
86.5%2y
85.0%2z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 z x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 y x)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
85.8%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes61.0ms (0.4%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 y z) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Calls

6 calls:

17.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
11.0ms
x
8.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
8.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
7.0ms
z
Results
AccuracySegmentsBranch
70.8%1x
70.8%1z
70.8%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
70.8%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
70.8%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
70.8%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes17.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
Calls

3 calls:

5.0ms
x
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
70.9%2y
70.2%2z
69.5%2x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
70.9%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
70.4%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0%)

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

3 calls:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
63.6%2x
65.3%2z
68.4%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes32.0ms (0.2%)

Accuracy

Total -19.9b remaining (-47.4%)

Threshold costs -19.9b (-47.4%)

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

3 calls:

2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
34.2%1x
34.2%1z
34.2%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch77.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
7.611779489910978e-296
1.2168334432140643e-277
32.0ms
-1.2989851063227404e+26
-7439096581939127000.0
Results
27.0ms319×0invalid
25.0ms304×0valid
Compiler

Compiled 693 to 497 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 17.0ms (56.5% of total)
ival-add: 7.0ms (23.3% of total)
ival-sqrt: 6.0ms (20% of total)
const: 1.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
1.8179466830041925e-181
5.115363609986709e-170
Results
14.0ms160×0valid
3.0ms34×0invalid
Compiler

Compiled 323 to 226 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (54.6% of total)
ival-add: 2.0ms (21.8% of total)
ival-sqrt: 2.0ms (21.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch68.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
64.0ms
-1.5214157038234024e-286
7.611779489910978e-296
Results
14.0ms176×0valid
40.0ms170×0invalid
Compiler

Compiled 298 to 225 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 29.0ms (67% of total)
ival-sqrt: 9.0ms (20.8% of total)
ival-add: 4.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch516.0ms (3.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
294.0ms
7.611779489910978e-296
1.2168334432140643e-277
Results
277.0ms160×0valid
8.0ms115×0invalid
Compiler

Compiled 313 to 226 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 277.0ms
ival-mult: 272.0ms (98.2% of total)
ival-add: 3.0ms (1.1% of total)
ival-sqrt: 2.0ms (0.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch150.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
146.0ms
-1.5214157038234024e-286
7.611779489910978e-296
Results
14.0ms176×0valid
12.0ms159×0invalid
Compiler

Compiled 331 to 247 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (59.9% of total)
ival-add: 3.0ms (20% of total)
ival-sqrt: 3.0ms (20% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch4.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
-1.5214157038234024e-286
7.611779489910978e-296
Results
1.0ms16×0invalid
1.0ms16×0valid
Compiler

Compiled 47 to 34 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (69.3% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch123.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
120.0ms
-1.5214157038234024e-286
7.611779489910978e-296
Results
14.0ms176×0valid
10.0ms139×0invalid
Compiler

Compiled 265 to 203 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (55.5% of total)
ival-add: 3.0ms (20.8% of total)
ival-sqrt: 2.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch66.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
62.0ms
-1.5214157038234024e-286
7.611779489910978e-296
Results
19.0ms228×0invalid
14.0ms176×0valid
Compiler

Compiled 243 to 192 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 10.0ms (50.3% of total)
ival-add: 6.0ms (30.2% of total)
ival-sqrt: 3.0ms (15.1% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

simplify28.0ms (0.2%)

Algorithm
egg-herbie
Rules
25×*-commutative
+-commutative
1-exp
sub-neg
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094822
1133818
2136818
3138818
4140818
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -15499999999999998934646784 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 3686675374229359/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 z #s(literal 1495020541582441/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 6903141637871293/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 146179710171/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 6903141637871293/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(if (<=.f64 y #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 6903141637871293/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
Outputs
(if (<=.f64 y #s(literal -15499999999999998934646784 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 3686675374229359/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -15499999999999998934646784 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 3686675374229359/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -15499999999999998934646784 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 3686675374229359/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
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(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))))
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(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))

soundness842.0ms (5.6%)

Rules
843×fma-neg
694×fma-define
650×distribute-rgt-in
643×distribute-lft-in
389×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039628
1732604
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
0117566063
1339364595
Stop Event
fuel
node limit
saturated
node limit
Compiler

Compiled 747 to 285 computations (61.8% saved)

preprocess90.0ms (0.6%)

Compiler

Compiled 800 to 372 computations (53.5% saved)

end0.0ms (0%)

Profiling

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