Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, B

Time bar (total: 4.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample983.0ms (20.6%)

Results
783.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 331.0ms
ival-sub: 188.0ms (56.9% of total)
ival-mult: 90.0ms (27.2% of total)
ival-add: 42.0ms (12.7% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 4.0ms (1.2% of total)
Bogosity

preprocess204.0ms (4.3%)

Algorithm
egg-herbie
Rules
1183×fmm-def
316×fma-define
241×distribute-rgt-in
170×distribute-lft-in
160×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036377
178321
2237317
3843317
41879317
53212317
63515317
73547317
83547317
94182317
104182317
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z))
(+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z))
(+.f64 x (*.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z)))
(neg.f64 (+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z)))
(neg.f64 (+.f64 x (*.f64 (-.f64 y x) (neg.f64 z))))
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 x (*.f64 (-.f64 z x) y))
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
(+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z))
(+.f64 (neg.f64 x) (*.f64 z (-.f64 y (neg.f64 x))))
(-.f64 (*.f64 z (+.f64 x y)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z))
(+.f64 x (*.f64 z (-.f64 (neg.f64 y) x)))
(-.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (-.f64 (neg.f64 x) y) x)
(fma.f64 z (-.f64 (neg.f64 y) x) x)
(+.f64 x (*.f64 (-.f64 y x) (neg.f64 z)))
(-.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 z (-.f64 x y) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z)))
(+.f64 x (*.f64 z (-.f64 (neg.f64 y) x)))
(-.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (-.f64 (neg.f64 x) y) x)
(fma.f64 z (-.f64 (neg.f64 y) x) x)
(neg.f64 (+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z)))
(+.f64 (neg.f64 x) (*.f64 z (-.f64 y (neg.f64 x))))
(-.f64 (*.f64 z (+.f64 x y)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(neg.f64 (+.f64 x (*.f64 (-.f64 y x) (neg.f64 z))))
(-.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 (-.f64 y x) z (neg.f64 x))
(neg.f64 (fma.f64 z (-.f64 x y) x))
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 y (*.f64 z (-.f64 x y)))
(fma.f64 z (-.f64 x y) y)
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 x (*.f64 (-.f64 z x) y))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)

explain75.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 y x)
00-0-(+.f64 x (*.f64 (-.f64 y x) z))
00-0-(*.f64 (-.f64 y x) z)
00-0-y
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
32.0ms512×0valid
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (44.6% of total)
ival-sub: 3.0ms (26.8% of total)
ival-add: 2.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

prune3.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 y x) z x)
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify47.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 (-.f64 y x) z x)
cost-diff-6272
(+.f64 x (*.f64 (-.f64 y x) z))
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 (-.f64 y x) z)
Rules
273×fma-define
247×fmm-def
52×cancel-sign-sub-inv
48×distribute-rgt-in
42×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014126
119126
231126
359126
4107126
5181126
6293126
7489126
8880126
91111126
101211126
111218126
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
x
(*.f64 (-.f64 y x) z)
(-.f64 y x)
y
z
(fma.f64 (-.f64 y x) z x)
(-.f64 y x)
y
x
z
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
x
(*.f64 (-.f64 y x) z)
(-.f64 y x)
y
z
(fma.f64 (-.f64 y x) z x)
(-.f64 y x)
y
x
z

localize34.0ms (0.7%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(fma.f64 (-.f64 y x) z x)
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
accuracy100.0%
(*.f64 (-.f64 y x) z)
Results
24.0ms256×0valid
Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-fma: 3.0ms (40.5% of total)
ival-sub: 2.0ms (27% of total)
ival-mult: 2.0ms (27% of total)
ival-add: 1.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
4 → 129
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 y x) z)>
#<alt (-.f64 y x)>
#<alt (+.f64 x (*.f64 (-.f64 y x) z))>
#<alt (fma.f64 (-.f64 y x) z x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt x>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
Calls

33 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(+ x (* (- y x) z))
1.0ms
y
@-inf
(* (- y x) z)
1.0ms
x
@-inf
(* (- y x) z)
0.0ms
y
@inf
(* (- y x) z)
0.0ms
x
@inf
(* (- y x) z)

rewrite251.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
807×log1p-expm1-u
807×expm1-log1p-u
654×unpow-prod-down
367×log-prod
362×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01489
116889
2215389
Stop Event
node limit
Counts
4 → 278
Calls
Call 1
Inputs
(*.f64 (-.f64 y x) z)
(-.f64 y x)
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 y x) z))
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(+.f64 (*.f64 y z) (*.f64 (neg.f64 x) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 y x))
(pow.f64 (*.f64 (-.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (*.f64 (-.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 y x) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 y x) z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 y x) z))) #s(literal 2 binary64)))
(fma.f64 y z (*.f64 (neg.f64 x) z))
(fma.f64 z y (*.f64 z (neg.f64 x)))
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) (cbrt.f64 (exp.f64 (-.f64 y x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.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 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (*.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.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 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 y (neg.f64 x)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(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))))
(log.f64 (*.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.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 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) z))))
(*.f64 (fma.f64 (-.f64 y x) z x) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 y x) z x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) z x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) (sqrt.f64 (fma.f64 (-.f64 y x) z x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
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(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))

simplify176.0ms (3.7%)

Algorithm
egg-herbie
Rules
389×fmm-def
312×cancel-sign-sub-inv
303×unswap-sqr
275×distribute-lft-neg-in
265×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054615558
1120314092
2365513806
Stop Event
node limit
Counts
407 → 307
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
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(*.f64 #s(literal -1 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
y
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(+.f64 y (*.f64 #s(literal -1 binary64) x))
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(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
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(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 y z)
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))
x
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(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
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(*.f64 y z)
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))
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(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))
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(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 z (-.f64 y x)))
(+.f64 x (*.f64 z (-.f64 y x)))
(+.f64 x (*.f64 z (-.f64 y x)))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 y x) z))
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(+.f64 (*.f64 y z) (*.f64 (neg.f64 x) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))))
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(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y x))
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(pow.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(log.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))
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(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) z)))
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(exp.f64 (log.f64 (*.f64 (-.f64 y x) z)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 y x) z))) #s(literal 2 binary64)))
(fma.f64 y z (*.f64 (neg.f64 x) z))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y x)) z) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (-.f64 y x)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) z) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 y x)) x)
(fma.f64 (*.f64 (-.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 z (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) z x))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) z x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) z))))
(*.f64 (fma.f64 (-.f64 y x) z x) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 y x) z x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) z x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) (sqrt.f64 (fma.f64 (-.f64 y x) z x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 y x) z))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 y x) z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 (-.f64 y x) z x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) z x) (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) z x) (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 y x) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y x)) z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (-.f64 y x) z (neg.f64 x)))
(pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) z x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 y x)) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(-.f64 y x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
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(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z)))))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 y x)) z)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z)))))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))) (exp.f64 x)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)

eval62.0ms (1.3%)

Compiler

Compiled 6556 to 1140 computations (82.6% saved)

prune64.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4367443
Fresh000
Picked112
Done000
Total4378445
Accuracy
100.0%
Counts
445 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.7%
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
55.8%
(+.f64 x (*.f64 (neg.f64 x) z))
77.1%
(+.f64 x (*.f64 z y))
90.8%
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z)))
87.0%
(*.f64 y (+.f64 z (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))
55.8%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
32.5%
x
Compiler

Compiled 150 to 96 computations (36% saved)

simplify46.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff64
(+.f64 x (*.f64 (neg.f64 x) z))
cost-diff-6272
(+.f64 x (*.f64 z y))
cost-diff0
(*.f64 z y)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) z))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 z (neg.f64 x))
cost-diff0
(*.f64 z y)
cost-diff192
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
Rules
339×fma-define
275×fmm-def
44×cancel-sign-sub-inv
41×distribute-rgt-in
40×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021252
148236
288236
3147236
4256236
5437236
6750236
71057236
81207236
91224236
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
x
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(*.f64 z y)
z
y
(*.f64 z (neg.f64 x))
(neg.f64 x)
x
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(+.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(+.f64 x (*.f64 (neg.f64 x) z))
x
(*.f64 (neg.f64 x) z)
(neg.f64 x)
z
Outputs
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (*.f64 z (+.f64 y (neg.f64 x))))
(fma.f64 z (-.f64 y x) x)
x
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 z y)
z
y
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(neg.f64 x)
x
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(+.f64 x (*.f64 z y))
(fma.f64 z y x)
x
(*.f64 z y)
z
y
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(neg.f64 x)
z

localize144.0ms (3%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x (*.f64 (neg.f64 x) z))
accuracy100.0%
(*.f64 (neg.f64 x) z)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(+.f64 x (*.f64 z y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
accuracy96.2%
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
Results
98.0ms256×0valid
Compiler

Compiled 69 to 16 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (57% of total)
ival-add: 4.0ms (25.3% of total)
ival-sub: 1.0ms (6.3% of total)
ival-neg: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.4%)

Counts
10 → 240
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))>
#<alt (*.f64 z y)>
#<alt (*.f64 z (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (-.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 x (*.f64 z y))>
#<alt (+.f64 x (*.f64 (neg.f64 x) z))>
#<alt (*.f64 (neg.f64 x) z)>
#<alt (+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))>
Outputs
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 y z)>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x 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 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 x (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 x (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* x (- 1 z))
1.0ms
z
@0
(+ (* z y) (* z (neg x)))
1.0ms
z
@inf
(+ (* z y) (* z (neg x)))
1.0ms
y
@0
(+ (* z y) (* z (neg x)))
0.0ms
x
@0
(* x (- 1 z))

rewrite243.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
981×log1p-expm1-u
886×expm1-log1p-u
148×add-cube-cbrt
145×add-exp-log
144×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021186
1338156
24995156
Stop Event
node limit
Counts
10 → 334
Calls
Call 1
Inputs
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(*.f64 z y)
(*.f64 z (neg.f64 x))
(neg.f64 x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 x (*.f64 z y))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) z)
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
Outputs
(-.f64 (*.f64 z y) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 y x)))
(*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x))))))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x)))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 y x)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (neg.f64 (*.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 z y)))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 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)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 z) y) (pow.f64 (exp.f64 x) z)))
(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 z y (*.f64 z x))
(fma.f64 z x (*.f64 z y))
(fma.f64 y z (*.f64 z x))
(fma.f64 x z (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 x (*.f64 z x))
(+.f64 x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z x))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x))))
(+.f64 (*.f64 z x) x)
(+.f64 (fma.f64 z x x) (fma.f64 x z (*.f64 z x)))
(+.f64 (fma.f64 z x x) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(+.f64 (fma.f64 z x x) (fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 z x)))
(+.f64 (fma.f64 z x x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z x)))
(+.f64 (fma.f64 z x x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)))
(-.f64 x (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 z x x)) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (fma.f64 z x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x x) (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (fma.f64 z x x))
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(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y x) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 y x)) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) x))
(pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (+.f64 y x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 y x) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 y x) x)))
(exp.f64 (log.f64 (fma.f64 z (+.f64 y x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 1 binary64)))
(fma.f64 z (+.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (+.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 z y x) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (+.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (+.f64 y x)))

simplify229.0ms (4.8%)

Algorithm
egg-herbie
Rules
603×distribute-lft-neg-in
379×associate-*l*
367×fma-define
350×associate-*r*
253×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063115395
1145414884
2604014823
Stop Event
node limit
Counts
574 → 378
Calls
Call 1
Inputs
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
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(*.f64 #s(literal -1 binary64) (*.f64 x z))
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(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
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#s(literal 1 binary64)
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(*.f64 y z)
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
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x
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x
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(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z x) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 x (*.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z y) x))
(pow.f64 (fma.f64 z y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z y x))))
(cbrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z y x)))
(log1p.f64 (expm1.f64 (fma.f64 z y x)))
(exp.f64 (log.f64 (fma.f64 z y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z y x)) #s(literal 1 binary64)))
(fma.f64 z y x)
(fma.f64 y z x)
(fma.f64 #s(literal 1 binary64) (*.f64 z y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))
(-.f64 x (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 z x x)) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (fma.f64 z x x)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (fma.f64 z x x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 (fma.f64 z x x) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) x))
(*.f64 (cbrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) x))
(*.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x x) (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (fma.f64 z x x))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z x) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 z #s(literal 1 binary64)))
(pow.f64 (fma.f64 z x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) z)))
(cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 z x x)))
(log1p.f64 (expm1.f64 (fma.f64 z x x)))
(exp.f64 (log.f64 (fma.f64 z x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x x)) #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 x z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(-.f64 (fma.f64 z y x) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (+.f64 y x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 z (+.f64 y x)))) (/.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) x))
(*.f64 (fma.f64 z (+.f64 y x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (+.f64 y x) x)))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) x)) (sqrt.f64 (fma.f64 z (+.f64 y x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y x) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 y x)) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) x))
(pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (+.f64 y x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 y x) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 y x) x)))
(exp.f64 (log.f64 (fma.f64 z (+.f64 y x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 1 binary64)))
(fma.f64 z (+.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (+.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 z y x) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (+.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (+.f64 y x)))
Outputs
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (*.f64 y (/.f64 z x))))
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(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y x) x)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) x))
(fma.f64 z (+.f64 y x) x)
(*.f64 (fma.f64 z (+.f64 y x) x) #s(literal 1 binary64))
(fma.f64 z (+.f64 y x) x)
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64)))
(fma.f64 z (+.f64 y x) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (+.f64 y x) x)))
(fma.f64 z (+.f64 y x) x)
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) x)) (sqrt.f64 (fma.f64 z (+.f64 y x) x)))
(fma.f64 z (+.f64 y x) x)
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (fma.f64 z (+.f64 y x) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (fma.f64 z (+.f64 y x) (neg.f64 x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (fma.f64 z (+.f64 y x) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (fma.f64 z (+.f64 y x) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (fma.f64 z (+.f64 y x) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (fma.f64 z (+.f64 y x) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z (+.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z x) (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 z (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (fma.f64 z (+.f64 y x) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (fma.f64 z (+.f64 y x) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y x) (*.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (fma.f64 z y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (fma.f64 z y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 y x)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) x))
(pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 1 binary64))
(fma.f64 z (+.f64 y x) x)
(pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 3 binary64))
(fma.f64 z (+.f64 y x) x)
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 z (+.f64 y x) x)
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64))
(fma.f64 z (+.f64 y x) x)
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 2 binary64)))
(fma.f64 z (+.f64 y x) x)
(log.f64 (exp.f64 (fma.f64 z (+.f64 y x) x)))
(fma.f64 z (+.f64 y x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 y x) x))))
(fma.f64 z (+.f64 y x) x)
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)))
(fma.f64 z (+.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 y x) x)))
(fma.f64 z (+.f64 y x) x)
(exp.f64 (log.f64 (fma.f64 z (+.f64 y x) x)))
(fma.f64 z (+.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 1 binary64)))
(fma.f64 z (+.f64 y x) x)
(fma.f64 z (+.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (+.f64 y x)))
(fma.f64 z (+.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)) x)
(fma.f64 z (+.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 z y x) (*.f64 z x))
(fma.f64 z (+.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 z (+.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 z (+.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (+.f64 y x)))
(fma.f64 z (+.f64 y x) x)
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 z (+.f64 y x) x)
(fma.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 z (+.f64 y x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (+.f64 y x)))
(fma.f64 z (+.f64 y x) x)

eval215.0ms (4.5%)

Compiler

Compiled 5259 to 1109 computations (78.9% saved)

prune61.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4184422
Fresh112
Picked325
Done011
Total4228430
Accuracy
100.0%
Counts
430 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(-.f64 x (*.f64 z x))
95.7%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
77.1%
(+.f64 x (*.f64 z y))
90.8%
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z)))
74.1%
(*.f64 y (+.f64 z (/.f64 x y)))
26.3%
(*.f64 x (neg.f64 z))
32.5%
x
Compiler

Compiled 124 to 76 computations (38.7% saved)

simplify82.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
(/.f64 (*.f64 z y) x)
cost-diff0
(-.f64 (/.f64 (*.f64 z y) x) z)
cost-diff256
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
cost-diff-6144
(*.f64 y (+.f64 z (/.f64 x y)))
cost-diff0
(/.f64 x y)
cost-diff0
(+.f64 z (/.f64 x y))
cost-diff0
(*.f64 z x)
cost-diff0
(-.f64 x (*.f64 z x))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 x (neg.f64 z))
cost-diff-6144
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 z y)
cost-diff128
(-.f64 (*.f64 z y) (*.f64 z x))
Rules
531×div-sub
520×distribute-lft-neg-in
446×distribute-rgt-out
415×distribute-rgt-neg-in
388×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024376
156368
2107364
3226355
4450349
5853349
62392349
75201349
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
x
(-.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z y)
z
y
(*.f64 z x)
(*.f64 x (neg.f64 z))
x
(neg.f64 z)
z
(-.f64 x (*.f64 z x))
x
(*.f64 z x)
z
(*.f64 y (+.f64 z (/.f64 x y)))
y
(+.f64 z (/.f64 x y))
z
(/.f64 x y)
x
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z)))
x
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
(-.f64 (/.f64 (*.f64 z y) x) z)
(/.f64 (*.f64 z y) x)
(*.f64 z y)
z
y
Outputs
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
(+.f64 x (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 y x) x)
x
(-.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z (-.f64 y x))
(*.f64 z y)
z
y
(*.f64 z x)
(*.f64 x z)
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
x
(neg.f64 z)
z
(-.f64 x (*.f64 z x))
(-.f64 x (*.f64 x z))
(*.f64 x (fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(*.f64 z x)
(*.f64 x z)
z
(*.f64 y (+.f64 z (/.f64 x y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 z y))
(fma.f64 z y x)
y
(+.f64 z (/.f64 x y))
z
(/.f64 x y)
x
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z)))
(+.f64 x (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 y x) x)
x
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
(*.f64 z (-.f64 y x))
(-.f64 (/.f64 (*.f64 z y) x) z)
(-.f64 (*.f64 z (/.f64 y x)) z)
(fma.f64 z (/.f64 y x) (neg.f64 z))
(*.f64 z (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 (*.f64 z y) x)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(*.f64 z y)
z
y

localize94.0ms (2%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z)))
accuracy100.0%
(-.f64 (/.f64 (*.f64 z y) x) z)
accuracy92.2%
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
accuracy90.1%
(/.f64 (*.f64 z y) x)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(+.f64 z (/.f64 x y))
accuracy89.7%
(*.f64 y (+.f64 z (/.f64 x y)))
accuracy100.0%
(-.f64 x (*.f64 z x))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 x (neg.f64 z))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
accuracy96.2%
(-.f64 (*.f64 z y) (*.f64 z x))
Results
45.0ms256×0valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (43.3% of total)
ival-div: 4.0ms (19.2% of total)
ival-sub: 3.0ms (14.4% of total)
ival-add: 3.0ms (14.4% of total)
ival-neg: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.7%)

Counts
13 → 357
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 z y) (*.f64 z x))>
#<alt (*.f64 z x)>
#<alt (+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))>
#<alt (*.f64 x (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (-.f64 x (*.f64 z x))>
#<alt (+.f64 z (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))>
#<alt (-.f64 (/.f64 (*.f64 z y) x) z)>
#<alt (/.f64 (*.f64 z y) x)>
#<alt (+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z)))>
Outputs
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (-.f64 (*.f64 y z) (*.f64 x z))>
#<alt (-.f64 (*.f64 y z) (*.f64 x z))>
#<alt (-.f64 (*.f64 y z) (*.f64 x z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)) x)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (/.f64 (*.f64 y z) x) z)>
#<alt (-.f64 (/.f64 (*.f64 y z) x) z)>
#<alt (-.f64 (/.f64 (*.f64 y z) x) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (/.f64 (*.f64 y z) x) z)>
#<alt (-.f64 (/.f64 (*.f64 y z) x) z)>
#<alt (-.f64 (/.f64 (*.f64 y z) x) z)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (*.f64 z (-.f64 (/.f64 y x) #s(literal 1 binary64)))))>
#<alt (+.f64 x (*.f64 x (*.f64 z (-.f64 (/.f64 y x) #s(literal 1 binary64)))))>
#<alt (+.f64 x (*.f64 x (*.f64 z (-.f64 (/.f64 y x) #s(literal 1 binary64)))))>
#<alt (*.f64 x (*.f64 z (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
Calls

99 calls:

TimeVariablePointExpression
9.0ms
z
@inf
(* y (+ z (/ x y)))
3.0ms
z
@0
(* x (- (/ (* z y) x) z))
1.0ms
x
@-inf
(* x (- (/ (* z y) x) z))
1.0ms
z
@-inf
(* x (- (/ (* z y) x) z))
1.0ms
z
@inf
(* x (- (/ (* z y) x) z))

rewrite230.0ms (4.8%)

Algorithm
batch-egg-rewrite
Rules
654×log1p-expm1-u
209×add-cube-cbrt
209×expm1-log1p-u
205×add-exp-log
205×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024317
1440290
27346290
Stop Event
node limit
Counts
13 → 445
Calls
Call 1
Inputs
(-.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z x)
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
(*.f64 x (neg.f64 z))
(neg.f64 z)
(-.f64 x (*.f64 z x))
(+.f64 z (/.f64 x y))
(/.f64 x y)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z))
(-.f64 (/.f64 (*.f64 z y) x) z)
(/.f64 (*.f64 z y) x)
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z)))
Outputs
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 z y) (+.f64 (*.f64 z x) (+.f64 (*.f64 z x) (*.f64 z x))))
(+.f64 (*.f64 z x) (*.f64 z y))
(+.f64 (*.f64 z (-.f64 y x)) (+.f64 (*.f64 z x) (*.f64 z x)))
(+.f64 (*.f64 z (-.f64 y x)) (fma.f64 z x (*.f64 z x)))
(+.f64 (*.f64 z (-.f64 y x)) (fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 z x)))
(+.f64 (*.f64 z (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z x)))
(+.f64 (*.f64 z (-.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)))
(+.f64 (*.f64 z (-.f64 y x)) (*.f64 (+.f64 (*.f64 z x) (*.f64 z x)) #s(literal 1 binary64)))
(+.f64 (*.f64 z (-.f64 y x)) (+.f64 (+.f64 (*.f64 z x) (*.f64 z x)) (+.f64 (*.f64 z x) (*.f64 z x))))
(+.f64 (+.f64 (*.f64 z x) (*.f64 z x)) (*.f64 z (-.f64 y x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y x))
(*.f64 (*.f64 z (-.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (-.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (-.f64 y x)))
(*.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) (sqrt.f64 (*.f64 z (-.f64 y x))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x))))))
(*.f64 (-.f64 y x) z)
(*.f64 (+.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x)))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y x)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))) (neg.f64 (*.f64 z (-.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 z x) (*.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 z x) (*.f64 z x)) (+.f64 (*.f64 z x) (*.f64 z x))) (*.f64 (*.f64 z (-.f64 y x)) (+.f64 (*.f64 z x) (*.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 z x) (*.f64 z x)) (+.f64 (*.f64 z x) (*.f64 z x)))) (-.f64 (*.f64 z (-.f64 y x)) (+.f64 (*.f64 z x) (*.f64 z x))))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) #s(literal 2 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 z y (*.f64 z x))
(fma.f64 z (-.f64 y x) (+.f64 (*.f64 z x) (*.f64 z x)))
(fma.f64 y z (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x)) (+.f64 (*.f64 z x) (*.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (-.f64 y x))) (+.f64 (*.f64 z x) (*.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) (sqrt.f64 (*.f64 z (-.f64 y x))) (+.f64 (*.f64 z x) (*.f64 z x)))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z x))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(-.f64 (*.f64 z y) (-.f64 (*.f64 z x) x))
(-.f64 x (*.f64 z (-.f64 y x)))
(-.f64 (fma.f64 z (-.f64 y x) x) (+.f64 (*.f64 z x) (*.f64 z x)))
(-.f64 (+.f64 (*.f64 z y) x) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 y x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 z (-.f64 y x) x)) (/.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 z (-.f64 y x) x)))
(-.f64 (-.f64 x (*.f64 z y)) (*.f64 z x))
(*.f64 (fma.f64 z (-.f64 y x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y x) x))
(*.f64 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (-.f64 y x) x)))
(*.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y x) x)))
(*.f64 (sqrt.f64 (fma.f64 z (-.f64 y x) x)) (sqrt.f64 (fma.f64 z (-.f64 y x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z (-.f64 y x)) (-.f64 (*.f64 z (-.f64 y x)) x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (-.f64 y x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (-.f64 y x)) (-.f64 (*.f64 z (-.f64 y x)) x))) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 y x) x) (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 2 binary64)) (fma.f64 z (-.f64 y x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (-.f64 y x)) (-.f64 (*.f64 z (-.f64 y x)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z (-.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (-.f64 y x)) (-.f64 (*.f64 z (-.f64 y x)) x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (-.f64 y x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 x (*.f64 z (-.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 z y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 z y) x) (+.f64 (*.f64 z y) x)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 z y) x) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (-.f64 y x)) x))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 z y) x) (+.f64 (*.f64 z y) x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z (-.f64 y x) x))
(pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) #s(literal 3 binary64))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 y (/.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 y (/.f64 x y)))
(+.f64 (*.f64 x (*.f64 z (/.f64 y x))) (*.f64 z x))
(+.f64 (*.f64 (*.f64 z (/.f64 y x)) x) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 z (fma.f64 z (/.f64 y x) z))))
(/.f64 (*.f64 x (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64))) (fma.f64 z (/.f64 y x) z))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 z (fma.f64 z (/.f64 y x) z))))
(/.f64 (*.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64)) x) (fma.f64 z (/.f64 y x) z))
(pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 z (/.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) #s(literal 1 binary64)))
(+.f64 z (*.f64 z (/.f64 y x)))
(+.f64 (*.f64 z (/.f64 y x)) z)
(+.f64 (fma.f64 z (/.f64 y x) z) (fma.f64 z #s(literal 1 binary64) z))
(+.f64 (fma.f64 z (/.f64 y x) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 z (/.f64 y x) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z))
(*.f64 (cbrt.f64 (fma.f64 z (/.f64 y x) z)) (cbrt.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z (/.f64 y x) z)))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 y x) z)) (sqrt.f64 (fma.f64 z (/.f64 y x) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 z (fma.f64 z (/.f64 y x) z)))))
(*.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 z (fma.f64 z (/.f64 y x) z))) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 y x) z) (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 z (fma.f64 z (/.f64 y x) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (*.f64 z (/.f64 y x))))))
(/.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64)) (fma.f64 z (/.f64 y x) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 z (fma.f64 z (/.f64 y x) z)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (/.f64 y x) z)))
(pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (/.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (/.f64 y x) z))))
(cbrt.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 y x) z)))
(log1p.f64 (expm1.f64 (fma.f64 z (/.f64 y x) z)))
(exp.f64 (log.f64 (fma.f64 z (/.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (/.f64 y x) z)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 y x) z)
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x) z)
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 y x))) z)
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 (*.f64 z (/.f64 y x))) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(*.f64 y (*.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 z (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 (*.f64 z (/.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 (sqrt.f64 (*.f64 z y)) x))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 (/.f64 y x) z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 z (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 z y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z y)) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z y)) (cbrt.f64 x)))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z (/.f64 y x)))
(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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 z (/.f64 y x) z) x))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) (sqrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))))
(*.f64 (+.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x))) (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 z (/.f64 y x) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x))
(pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(fma.f64 (fma.f64 z (/.f64 y x) z) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (/.f64 y x) z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (fma.f64 z (/.f64 y x) z)))

simplify275.0ms (5.8%)

Algorithm
egg-herbie
Rules
596×fma-define
329×distribute-lft-in
320×distribute-rgt-in
271×times-frac
228×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097527085
1234625665
Stop Event
node limit
Counts
802 → 648
Calls
Call 1
Inputs
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(-.f64 (*.f64 y z) (*.f64 x z))
(-.f64 (*.f64 y z) (*.f64 x z))
(-.f64 (*.f64 y z) (*.f64 x z))
(*.f64 y z)
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y z)
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 z (fma.f64 z (/.f64 y x) z))) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 y x) z) (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 z (fma.f64 z (/.f64 y x) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (*.f64 z (/.f64 y x))))))
(/.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64)) (fma.f64 z (/.f64 y x) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 z (fma.f64 z (/.f64 y x) z)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (/.f64 y x) z)))
(pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (/.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (/.f64 y x) z))))
(cbrt.f64 (pow.f64 (fma.f64 z (/.f64 y x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 y x) z)))
(log1p.f64 (expm1.f64 (fma.f64 z (/.f64 y x) z)))
(exp.f64 (log.f64 (fma.f64 z (/.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (/.f64 y x) z)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 y x) z)
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x) z)
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 y x))) z)
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 (*.f64 z (/.f64 y x))) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(*.f64 y (*.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 z (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (sqrt.f64 (*.f64 z (/.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 (sqrt.f64 (*.f64 z y)) x))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 (/.f64 y x) z)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z y))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 z (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 z y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z y)) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z y)) (cbrt.f64 x)))
(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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z (/.f64 y x)))
(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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 z (/.f64 y x) z) x))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) (sqrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))))
(*.f64 (+.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x))) (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 z (/.f64 y x) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x))
(pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(fma.f64 (fma.f64 z (/.f64 y x) z) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (/.f64 y x) z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (fma.f64 z (/.f64 y x) z)))
Outputs
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 y x)))
(*.f64 z (neg.f64 (fma.f64 y #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 y x)))
(*.f64 z (neg.f64 (fma.f64 y #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 y x)))
(*.f64 z (neg.f64 (fma.f64 y #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 y x)))
(*.f64 z (neg.f64 (fma.f64 y #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(-.f64 (*.f64 y z) (*.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (*.f64 y z) (*.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (*.f64 y z) (*.f64 x z))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z (*.f64 x (/.f64 z y))))
(*.f64 (neg.f64 y) (*.f64 z (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z (*.f64 x (/.f64 z y))))
(*.f64 (neg.f64 y) (*.f64 z (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z (*.f64 x (/.f64 z y))))
(*.f64 (neg.f64 y) (*.f64 z (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 (/.f64 (*.f64 y z) x) z))
(*.f64 x (-.f64 (*.f64 z (/.f64 y x)) z))
(*.f64 (*.f64 z x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (-.f64 (/.f64 (*.f64 y z) x) z))
(*.f64 x (-.f64 (*.f64 z (/.f64 y x)) z))
(*.f64 (*.f64 z x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (-.f64 (/.f64 (*.f64 y z) x) z))
(*.f64 x (-.f64 (*.f64 z (/.f64 y x)) z))
(*.f64 (*.f64 z x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (*.f64 z (/.f64 y x)) z))
(*.f64 (*.f64 z x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (*.f64 z (/.f64 y x)) z))
(*.f64 (*.f64 z x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (*.f64 z (/.f64 y x)) z))
(*.f64 (*.f64 z x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x)))))
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(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64))) (*.f64 x (+.f64 x (*.f64 (fma.f64 z (/.f64 y x) z) (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x (fma.f64 z (/.f64 y x) z) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) #s(literal -1 binary64))))
(pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 3 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(exp.f64 (log.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 z (/.f64 y x) z) x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 (fma.f64 z (/.f64 y x) z) x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (fma.f64 z (/.f64 y x) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (/.f64 y x) z)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 y x) z))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) x)

eval93.0ms (1.9%)

Compiler

Compiled 10178 to 2028 computations (80.1% saved)

prune178.0ms (3.7%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New6911692
Fresh000
Picked055
Done033
Total6919700
Accuracy
100.0%
Counts
700 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(-.f64 x (*.f64 z x))
95.7%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
77.1%
(+.f64 x (*.f64 z y))
90.8%
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z)))
74.1%
(*.f64 y (+.f64 z (/.f64 x y)))
46.5%
(*.f64 y z)
26.3%
(*.f64 x (neg.f64 z))
32.5%
x
Compiler

Compiled 79 to 49 computations (38% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
1921
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y z)
y
z
Outputs
(*.f64 y z)
y
z

localize16.0ms (0.3%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
Results
12.0ms256×0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (80.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (*.f64 y z)>
Outputs
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* y z)
0.0ms
y
@inf
(* y z)
0.0ms
y
@-inf
(* y z)
0.0ms
z
@-inf
(* y z)
0.0ms
z
@inf
(* y z)

rewrite61.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
502×associate-*r*
437×associate-*l*
251×log1p-expm1-u
251×expm1-log1p-u
247×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
16513
270613
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 y z)
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 2 binary64)) #s(literal 1/2 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 (E.f64) (log.f64 (*.f64 y z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y z)))) (sqrt.f64 (log.f64 (*.f64 y z))))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y z))
(log.f64 (pow.f64 (exp.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 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))

simplify63.0ms (1.3%)

Algorithm
egg-herbie
Rules
663×cancel-sign-sub-inv
429×sub-neg
429×times-frac
381×prod-exp
301×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079805
1160547
2460533
32185533
44666533
Stop Event
node limit
Counts
25 → 33
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 2 binary64)) #s(literal 1/2 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 (E.f64) (log.f64 (*.f64 y z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y z)))) (sqrt.f64 (log.f64 (*.f64 y z))))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y z))
(log.f64 (pow.f64 (exp.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 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y z)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y z #s(literal 1 binary64)) (+.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(pow.f64 (E.f64) (log.f64 (*.f64 y z)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y z)))) (sqrt.f64 (log.f64 (*.f64 y z))))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(fabs.f64 (*.f64 y z))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(log.f64 (pow.f64 (exp.f64 y) z))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(log1p.f64 (expm1.f64 (*.f64 y z)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 y z)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y z)

eval4.0ms (0.1%)

Compiler

Compiled 346 to 102 computations (70.5% saved)

prune10.0ms (0.2%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New33033
Fresh000
Picked011
Done088
Total33942
Accuracy
100.0%
Counts
42 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(-.f64 x (*.f64 z x))
95.7%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
77.1%
(+.f64 x (*.f64 z y))
90.8%
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z)))
74.1%
(*.f64 y (+.f64 z (/.f64 x y)))
46.5%
(*.f64 y z)
26.3%
(*.f64 x (neg.f64 z))
32.5%
x
Compiler

Compiled 172 to 84 computations (51.2% saved)

regimes32.0ms (0.7%)

Counts
14 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 z y))
(-.f64 x (*.f64 z x))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 y (+.f64 z (/.f64 x y)))
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
(*.f64 y (+.f64 z (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))
(+.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 z y) x) z)))
(fma.f64 (-.f64 y x) z x)
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
Calls

4 calls:

15.0ms
z
7.0ms
x
5.0ms
y
4.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes12.0ms (0.2%)

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

3 calls:

4.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
88.2%3x
87.3%3y
81.3%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 z y))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
88.2%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y z)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Calls

3 calls:

4.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
67.0%3z
76.0%3y
76.2%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

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

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
66.4%3z
61.1%4y
60.1%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
32.5%1y
32.5%1x
32.5%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch22.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
531103.9040820992
4238136.216716185
12.0ms
-3.169702827008389e+81
-9.715801948777746e+77
Results
14.0ms224×0valid
Compiler

Compiled 265 to 188 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (46.7% of total)
ival-sub: 1.0ms (23.3% of total)
ival-add: 1.0ms (23.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
531103.9040820992
4238136.216716185
10.0ms
-3.169702827008389e+81
-9.715801948777746e+77
Results
12.0ms224×0valid
Compiler

Compiled 265 to 194 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (53.2% of total)
ival-mult: 2.0ms (35.5% of total)
ival-add: 1.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
25.73336861601198
531103.9040820992
10.0ms
-738571367442627.0
-4543673485807.876
Results
11.0ms240×0valid
Compiler

Compiled 253 to 192 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (44.3% of total)
ival-sub: 1.0ms (22.2% of total)
ival-add: 1.0ms (22.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
6.640864153016601e-108
7.110295944863715e-107
12.0ms
-1.0302679944054417e-23
-2.1561056733389625e-27
Results
13.0ms224×0valid
Compiler

Compiled 181 to 138 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (48.1% of total)
ival-sub: 1.0ms (24% of total)
ival-add: 1.0ms (24% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
sub-neg
if-if-or-not
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047305
179305
293305
399305
4102305
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 x #s(literal -1750000000000000066285854925244669025603309322965034358526744230779265314979840 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 4100000 binary64)) (+.f64 x (*.f64 z y)) (-.f64 x (*.f64 z x))))
(if (<=.f64 x #s(literal -1599999999999999972452180360873373707963962315424254360863601923484978465734656 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 1550000 binary64)) (+.f64 x (*.f64 z y)) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 x #s(literal -4600000000000 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 56 binary64)) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 z #s(literal -6794758302677299/348449143727040986586495598010130648530944 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 5784239726914675/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) x (*.f64 y z)))
x
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 x #s(literal -1750000000000000066285854925244669025603309322965034358526744230779265314979840 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 4100000 binary64)) (+.f64 x (*.f64 z y)) (-.f64 x (*.f64 z x))))
(if (<=.f64 x #s(literal -1750000000000000066285854925244669025603309322965034358526744230779265314979840 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 4100000 binary64)) (+.f64 x (*.f64 y z)) (-.f64 x (*.f64 x z))))
(if (<=.f64 x #s(literal -1599999999999999972452180360873373707963962315424254360863601923484978465734656 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 1550000 binary64)) (+.f64 x (*.f64 z y)) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (or (<=.f64 x #s(literal -1599999999999999972452180360873373707963962315424254360863601923484978465734656 binary64)) (not (<=.f64 x #s(literal 1550000 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 x (*.f64 y z)))
(if (<=.f64 x #s(literal -4600000000000 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 56 binary64)) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (or (<=.f64 x #s(literal -4600000000000 binary64)) (not (<=.f64 x #s(literal 56 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y z))
(if (<=.f64 z #s(literal -6794758302677299/348449143727040986586495598010130648530944 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 5784239726914675/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) x (*.f64 y z)))
(if (or (<=.f64 z #s(literal -6794758302677299/348449143727040986586495598010130648530944 binary64)) (not (<=.f64 z #s(literal 5784239726914675/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)))) (*.f64 y z) x)
x

soundness557.0ms (11.7%)

Rules
981×log1p-expm1-u
886×expm1-log1p-u
389×fmm-def
312×cancel-sign-sub-inv
303×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021186
1338156
24995156
054615558
1120314092
2365513806
Stop Event
done
node limit
node limit
Compiler

Compiled 156 to 77 computations (50.6% saved)

preprocess37.0ms (0.8%)

Compiler

Compiled 186 to 92 computations (50.5% saved)

end0.0ms (0%)

Profiling

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