Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

Time bar (total: 5.1s)

analyze1.0ms (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 11 to 10 computations (9.1% saved)

sample1.5s (29.3%)

Samples
977.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 557.0ms
ival-mult: 294.0ms (52.8% of total)
ival-sub: 206.0ms (37% of total)
ival-add: 44.0ms (7.9% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 4.0ms (0.7% of total)
...in/eval/compile.rkt:70:19: 3.0ms (0.5% of total)
Bogosity

preprocess496.0ms (9.7%)

Algorithm
egg-herbie
Rules
1 075×fmm-def
550×fma-define
209×distribute-rgt-in
154×unsub-neg
127×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040399
1100391
2228381
3636353
41598329
53149329
63533329
73596329
83604329
93604329
104064329
114064329
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z)))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z)))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z))))
(+.f64 (*.f64 y x) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(+.f64 (*.f64 z y) (*.f64 (-.f64 z #s(literal 1 binary64)) x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z))
(fma.f64 (neg.f64 x) y (*.f64 z (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 x y))
(-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) x)) (*.f64 x y))
(-.f64 (*.f64 (neg.f64 x) (+.f64 y z)) z)
(neg.f64 (fma.f64 x (+.f64 y z) z))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x (neg.f64 y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (-.f64 y z)) z)
(neg.f64 (fma.f64 x (-.f64 y z) z))
(-.f64 (*.f64 x (-.f64 z y)) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x y (fma.f64 x (neg.f64 z) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z)))
(neg.f64 (fma.f64 (neg.f64 x) y (*.f64 z (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 (*.f64 x y) (*.f64 z (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 x y))
(+.f64 z (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) z)
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x y (fma.f64 x (neg.f64 z) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z))))
(fma.f64 x (neg.f64 y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (-.f64 y z)) z)
(neg.f64 (fma.f64 x (-.f64 y z) z))
(-.f64 (*.f64 x (-.f64 z y)) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(fma.f64 y x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(fma.f64 x y (*.f64 z (+.f64 y #s(literal -1 binary64))))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) (*.f64 x y))
(-.f64 (*.f64 y (+.f64 x z)) z)
(+.f64 (*.f64 z y) (*.f64 (-.f64 z #s(literal 1 binary64)) x))
(fma.f64 z y (*.f64 x (+.f64 z #s(literal -1 binary64))))
(fma.f64 x (+.f64 z #s(literal -1 binary64)) (*.f64 y z))
(-.f64 (*.f64 z (+.f64 y x)) x)
(-.f64 (*.f64 z (+.f64 x y)) x)
(+.f64 (*.f64 x z) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 x z (*.f64 y (+.f64 x #s(literal -1 binary64))))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) (*.f64 x z))
(-.f64 (*.f64 x (+.f64 y z)) y)

explain89.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
60-0-(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
00-0-(*.f64 (-.f64 x #s(literal 1 binary64)) z)
00-0-y
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))nan-rescue60
(*.f64 x y)overflow29
(*.f64 (-.f64 x #s(literal 1 binary64)) z)overflow46
Confusion
Predicted +Predicted -
+60
-0250
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+600
-00250
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0250
16
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (49% of total)
ival-sub: 3.0ms (21% of total)
ival-add: 3.0ms (21% 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)

eval1.0ms (0%)

Compiler

Compiled 26 to 12 computations (53.8% saved)

prune1.0ms (0%)

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

Compiled 10 to 6 computations (40% saved)

simplify47.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-6336
(-.f64 (*.f64 x (+.f64 y z)) z)
cost-diff0
(+.f64 y z)
cost-diff0
(*.f64 x (+.f64 y z))
Rules
379×fma-define
337×fmm-def
89×cancel-sign-sub-inv
67×distribute-rgt-in
48×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01278
12578
24678
37278
412378
520278
636078
779278
8122778
9152178
10157678
11157978
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z
Outputs
(-.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (+.f64 y z) (neg.f64 z))
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z

localize22.0ms (0.4%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (*.f64 x (+.f64 y z)) z)
accuracy100.0%
(+.f64 y z)
accuracy100.0%
(*.f64 x (+.f64 y z))
Samples
16.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.7% of total)
ival-add: 2.0ms (30.5% of total)
ival-sub: 1.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
3 → 75
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 y z))>
#<alt (+.f64 y z)>
#<alt (-.f64 (*.f64 x (+.f64 y z)) z)>
Outputs
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt z>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt y>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))>
#<alt (-.f64 (*.f64 x z) z)>
#<alt (-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))>
#<alt (*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))>
#<alt (*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
Calls

24 calls:

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

rewrite519.0ms (10.2%)

Algorithm
batch-egg-rewrite
Rules
851×log1p-expm1-u
851×expm1-log1p-u
452×fma-define
393×log-prod
224×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
115466
2233566
Stop Event
node limit
Counts
3 → 242
Calls
Call 1
Inputs
(*.f64 x (+.f64 y z))
(+.f64 y z)
(-.f64 (*.f64 x (+.f64 y z)) z)
Outputs
(+.f64 (*.f64 x z) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y z)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y z)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y z)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y z)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y z)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 x y) (*.f64 x z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 x y) (*.f64 x z)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 y z))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (-.f64 y z))
(pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y z)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x z)) (exp.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y z))) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y z)) x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) (neg.f64 z))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y z))) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y z))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) (*.f64 x (+.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y z)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (-.f64 (*.f64 x z) z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (-.f64 (*.f64 x z) z))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (+.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) x) (neg.f64 z))
(fma.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (neg.f64 z))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 x (+.f64 y z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)) (neg.f64 z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 x z) z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (-.f64 (*.f64 x z) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (+.f64 y z)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (*.f64 x (+.f64 y z)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (-.f64 (*.f64 x z) z))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 x (+.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (-.f64 (*.f64 x z) z))
(fma.f64 #s(literal -1 binary64) z (*.f64 x (+.f64 y z)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (*.f64 x z) z))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (*.f64 x z) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x (+.f64 y z)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y z)) (neg.f64 z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (neg.f64 z))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 z))
(fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))
(fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (-.f64 (*.f64 x z) z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (*.f64 x z) z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 (*.f64 x z) z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (*.f64 x z) z))

simplify153.0ms (3%)

Algorithm
egg-herbie
Rules
587×fmm-def
369×cancel-sign-sub-inv
281×distribute-lft-neg-in
262×associate-+l+
257×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053110830
1126210527
2366410491
Stop Event
node limit
Counts
317 → 305
Calls
Call 1
Inputs
(*.f64 x z)
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
z
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
y
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))
(-.f64 (*.f64 x z) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(*.f64 x y)
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(+.f64 (*.f64 x z) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y z)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y z)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y z)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y z)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y z)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 x y) (*.f64 x z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 x y) (*.f64 x z)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 y z))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (-.f64 y z))
(pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y z)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x z)) (exp.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (+.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y z)))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 x z))
(fma.f64 x z (*.f64 x y))
(fma.f64 y x (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x z))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 x y))
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(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (+.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) x) (neg.f64 z))
(fma.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (neg.f64 z))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 x (+.f64 y z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)) (neg.f64 z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 x z) z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (-.f64 (*.f64 x z) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (+.f64 y z)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (*.f64 x (+.f64 y z)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (-.f64 (*.f64 x z) z))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 x (+.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (-.f64 (*.f64 x z) z))
(fma.f64 #s(literal -1 binary64) z (*.f64 x (+.f64 y z)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (*.f64 x z) z))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (*.f64 x z) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x (+.f64 y z)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y z)) (neg.f64 z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (neg.f64 z))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 z))
(fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))
(fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (-.f64 (*.f64 x z) z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (*.f64 x z) z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 (*.f64 x z) z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (*.f64 x z) z))
Outputs
(*.f64 x z)
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 z y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) x))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 z y))
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
z
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (+.f64 z y) (/.f64 (neg.f64 z) x)))
(*.f64 x (+.f64 y (-.f64 z (/.f64 z x))))
(*.f64 x (+.f64 z (-.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (+.f64 z y) (/.f64 (neg.f64 z) x)))
(*.f64 x (+.f64 y (-.f64 z (/.f64 z x))))
(*.f64 x (+.f64 z (-.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (+.f64 z y) (/.f64 (neg.f64 z) x)))
(*.f64 x (+.f64 y (-.f64 z (/.f64 z x))))
(*.f64 x (+.f64 z (-.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 z y) (/.f64 (neg.f64 z) x)))
(*.f64 x (+.f64 y (-.f64 z (/.f64 z x))))
(*.f64 x (+.f64 z (-.f64 y (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 z y) (/.f64 (neg.f64 z) x)))
(*.f64 x (+.f64 y (-.f64 z (/.f64 z x))))
(*.f64 x (+.f64 z (-.f64 y (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 z y) (/.f64 (neg.f64 z) x)))
(*.f64 x (+.f64 y (-.f64 z (/.f64 z x))))
(*.f64 x (+.f64 z (-.f64 y (/.f64 z x))))
(-.f64 (*.f64 x z) z)
(fma.f64 x z (neg.f64 z))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 x y)
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x z (neg.f64 z)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) y)))
(*.f64 y (+.f64 x (*.f64 (/.f64 z y) (+.f64 x #s(literal -1 binary64)))))
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x z (neg.f64 z)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) y)))
(*.f64 y (+.f64 x (*.f64 (/.f64 z y) (+.f64 x #s(literal -1 binary64)))))
(*.f64 y (-.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x z (neg.f64 z)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) y)))
(*.f64 y (+.f64 x (*.f64 (/.f64 z y) (+.f64 x #s(literal -1 binary64)))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x z (neg.f64 z)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) y)))
(*.f64 y (+.f64 x (*.f64 (/.f64 z y) (+.f64 x #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x z (neg.f64 z)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) y)))
(*.f64 y (+.f64 x (*.f64 (/.f64 z y) (+.f64 x #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x z) z) y)))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x z (neg.f64 z)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) y)))
(*.f64 y (+.f64 x (*.f64 (/.f64 z y) (+.f64 x #s(literal -1 binary64)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(fma.f64 x z (neg.f64 z))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (+.f64 (+.f64 x (*.f64 x (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) #s(literal -1 binary64))))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (+.f64 (+.f64 x (*.f64 x (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) #s(literal -1 binary64))))
(*.f64 z (-.f64 (+.f64 x (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (+.f64 (+.f64 x (*.f64 x (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(fma.f64 x z (neg.f64 z))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(*.f64 z (+.f64 (+.f64 x (*.f64 x (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(*.f64 z (+.f64 (+.f64 x (*.f64 x (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
(*.f64 z (+.f64 (+.f64 x (*.f64 x (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) #s(literal -1 binary64))))
(+.f64 (*.f64 x z) (*.f64 x y))
(*.f64 x (+.f64 z y))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (+.f64 z y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 z y))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y z))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) (*.f64 x (+.f64 y z)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y z)) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (+.f64 (neg.f64 z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) x) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 x (+.f64 y z)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 z y) z) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 x (+.f64 z y) z) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 z y) z) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 x (+.f64 z y) z) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 y z) z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (+.f64 (neg.f64 z) z))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (+.f64 z y) z) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 x (+.f64 z y) z) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (+.f64 z y) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (+.f64 z y) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) z)) (+.f64 (neg.f64 z) z))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (+.f64 z y) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (+.f64 y z)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (*.f64 x (+.f64 y z)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 x (+.f64 y z)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 #s(literal -1 binary64) z (*.f64 x (+.f64 y z)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) (+.f64 z (neg.f64 z)))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) (+.f64 z (neg.f64 z)))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) (+.f64 z (neg.f64 z)))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 z)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x (+.f64 y z)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y z)) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (*.f64 x z) z))
(-.f64 (*.f64 x (+.f64 z y)) z)

eval155.0ms (3%)

Compiler

Compiled 4 365 to 815 computations (81.3% saved)

prune50.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3014305
Fresh000
Picked101
Done000
Total3024306
Accuracy
100.0%
Counts
306 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(-.f64 (*.f64 x z) z)
75.4%
(-.f64 (*.f64 x y) z)
66.1%
(*.f64 x (+.f64 y z))
36.6%
(neg.f64 z)
Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify41.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x z)
cost-diff0
(-.f64 (*.f64 x z) z)
cost-diff0
(*.f64 x y)
cost-diff0
(-.f64 (*.f64 x y) z)
cost-diff0
(+.f64 y z)
cost-diff0
(*.f64 x (+.f64 y z))
cost-diff0
(neg.f64 z)
Rules
202×fmm-def
174×fma-define
39×distribute-lft-neg-in
36×cancel-sign-sub-inv
32×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017149
132146
247146
372146
4102146
5147146
6293146
7563146
8770146
9895146
10922146
11923146
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 z)
z
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z
(-.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(-.f64 (*.f64 x z) z)
(*.f64 x z)
x
z
Outputs
(neg.f64 z)
z
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
x
(+.f64 y z)
(+.f64 z y)
y
z
(-.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(-.f64 (*.f64 x z) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 x z)
(*.f64 z x)
x
z

localize117.0ms (2.3%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(-.f64 (*.f64 x z) z)
accuracy100.0%
(-.f64 (*.f64 x y) z)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 y z)
accuracy100.0%
(*.f64 x (+.f64 y z))
accuracy100.0%
(neg.f64 z)
Samples
28.0ms256×0valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (47.5% of total)
ival-sub: 2.0ms (19% of total)
ival-add: 1.0ms (9.5% of total)
ival-neg: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
5 → 63
Calls
Call 1
Inputs
#<alt (neg.f64 z)>
#<alt (-.f64 (*.f64 x y) z)>
#<alt (*.f64 x y)>
#<alt (-.f64 (*.f64 x z) z)>
#<alt (*.f64 x z)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) 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) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
Calls

30 calls:

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

rewrite182.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
818×log1p-expm1-u
818×expm1-log1p-u
431×log-prod
316×fma-define
180×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01578
119166
2271466
Stop Event
node limit
Counts
5 → 275
Calls
Call 1
Inputs
(neg.f64 z)
(-.f64 (*.f64 x y) z)
(*.f64 x y)
(-.f64 (*.f64 x z) z)
(*.f64 x z)
Outputs
(+.f64 #s(literal 0 binary64) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (log.f64 (cbrt.f64 (exp.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 z (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 z (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(+.f64 (fma.f64 x y z) (+.f64 z z))
(+.f64 (fma.f64 x y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 #s(literal 0 binary64) (fma.f64 x y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y z))) (cbrt.f64 (exp.f64 (fma.f64 x y z))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y z)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y z)))))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 (fma.f64 x y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x y z) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 x y z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 x y z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (fma.f64 x y z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 x y z) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x y z)))
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 x y z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x y z) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(log.f64 (*.f64 (exp.f64 z) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(hypot.f64 (*.f64 x y) z)
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 z #s(literal -1 binary64) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 (fma.f64 x y z) #s(literal 1 binary64) (+.f64 z z))
(fma.f64 (fma.f64 x y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 #s(literal 1 binary64) (fma.f64 x y z) (+.f64 z z))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (+.f64 z z))
(fma.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)) (+.f64 z z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (+.f64 z z))
(fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 x y))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x y z) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 z z))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x y z) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(fma.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (+.f64 z z))
(fma.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 z)) (+.f64 z z))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(+.f64 z (*.f64 z x))
(+.f64 (*.f64 z x) z)
(+.f64 (fma.f64 z x z) (+.f64 z z))
(+.f64 (fma.f64 z x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 #s(literal 0 binary64) (fma.f64 z x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 z x z))) (cbrt.f64 (exp.f64 (fma.f64 z x z))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z x z)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z x z)))))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 z (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 z x z) #s(literal 1 binary64))
(*.f64 (fma.f64 z x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 z x z))
(*.f64 (cbrt.f64 (fma.f64 z x z)) (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x z)))
(*.f64 (sqrt.f64 (fma.f64 z x z)) (sqrt.f64 (fma.f64 z x z)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 z) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)))
(*.f64 (+.f64 x #s(literal 1 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x z) (pow.f64 (fma.f64 z x z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (fma.f64 z x z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x z)))
(pow.f64 (fma.f64 z x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z x z) (pow.f64 (fma.f64 z x z) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x z))))
(log.f64 (*.f64 (exp.f64 z) (pow.f64 (exp.f64 x) z)))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) z) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) z) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (exp.f64 z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z x z)))
(hypot.f64 (*.f64 z x) z)
(log1p.f64 (expm1.f64 (fma.f64 z x z)))
(exp.f64 (log.f64 (fma.f64 z x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 z x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z x z))) #s(literal 2 binary64)))
(fma.f64 z x z)
(fma.f64 z #s(literal 1 binary64) (*.f64 z x))
(fma.f64 z #s(literal -1 binary64) (*.f64 z x))
(fma.f64 z (+.f64 x #s(literal -1 binary64)) (+.f64 z z))
(fma.f64 z (+.f64 x #s(literal -1 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (+.f64 z z))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 x z z)
(fma.f64 (*.f64 z x) #s(literal 1 binary64) z)
(fma.f64 (fma.f64 z x z) #s(literal 1 binary64) (+.f64 z z))
(fma.f64 (fma.f64 z x z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) z)
(fma.f64 #s(literal 1 binary64) (fma.f64 z x z) (+.f64 z z))
(fma.f64 #s(literal 1 binary64) (fma.f64 z x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (fma.f64 z x z)) (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)) (+.f64 z z))
(fma.f64 (cbrt.f64 (fma.f64 z x z)) (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x z)) (+.f64 z z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) z)
(fma.f64 (sqrt.f64 (fma.f64 z x z)) (sqrt.f64 (fma.f64 z x z)) (+.f64 z z))
(fma.f64 (sqrt.f64 (fma.f64 z x z)) (sqrt.f64 (fma.f64 z x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) z)
(fma.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (+.f64 z z))
(fma.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal -1 binary64) z (*.f64 z x))
(fma.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)) (+.f64 z z))
(fma.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 z) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (+.f64 z z))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 z) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) z (+.f64 z z))
(fma.f64 (+.f64 x #s(literal 1 binary64)) z (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z)
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) z)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x))
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) (cbrt.f64 (pow.f64 (exp.f64 x) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))

simplify139.0ms (2.7%)

Algorithm
egg-herbie
Rules
355×cancel-sign-sub-inv
346×distribute-rgt-neg-in
342×distribute-lft-neg-in
312×prod-exp
287×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05408089
110917762
238057664
Stop Event
node limit
Counts
338 → 342
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 x z)
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(+.f64 #s(literal 0 binary64) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (log.f64 (cbrt.f64 (exp.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 z (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 z (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(+.f64 z (*.f64 x y))
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(fma.f64 (cbrt.f64 (fma.f64 z x z)) (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)) (+.f64 z z))
(fma.f64 (cbrt.f64 (fma.f64 z x z)) (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x z)) (+.f64 z z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) z)
(fma.f64 (sqrt.f64 (fma.f64 z x z)) (sqrt.f64 (fma.f64 z x z)) (+.f64 z z))
(fma.f64 (sqrt.f64 (fma.f64 z x z)) (sqrt.f64 (fma.f64 z x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) z)
(fma.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (+.f64 z z))
(fma.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal -1 binary64) z (*.f64 z x))
(fma.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)) (+.f64 z z))
(fma.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 z) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (+.f64 z z))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 z) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) z (+.f64 z z))
(fma.f64 (+.f64 x #s(literal 1 binary64)) z (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z)
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) z)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x))
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) (cbrt.f64 (pow.f64 (exp.f64 x) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 y (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 y (/.f64 z x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 x (+.f64 y (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 x (+.f64 y (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 z x))))
(*.f64 x (+.f64 y (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 x (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 x (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 x (/.f64 z y)))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(fma.f64 x y (neg.f64 z))
(-.f64 (*.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(fma.f64 x y (neg.f64 z))
(-.f64 (*.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(fma.f64 x y (neg.f64 z))
(-.f64 (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 x z)
(*.f64 z x)
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 z (/.f64 z x)))
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 z (/.f64 z x)))
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 z (/.f64 z x)))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 z (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 z (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 z (/.f64 z x)))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 0 binary64) z)
z
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (log.f64 (cbrt.f64 (exp.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 z))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 z))) #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) z)
(neg.f64 z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 z))
(*.f64 z #s(literal 1 binary64))
z
(*.f64 z #s(literal -1 binary64))
(neg.f64 z)
(*.f64 z (log.f64 (exp.f64 #s(literal 1 binary64))))
z
(*.f64 z (log.f64 (exp.f64 #s(literal -1 binary64))))
(neg.f64 z)
(*.f64 #s(literal 1 binary64) z)
z
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
z
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
z
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(neg.f64 z)
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
z
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(neg.f64 z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 z)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 z)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(neg.f64 z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(neg.f64 z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(neg.f64 z)
(pow.f64 z #s(literal 1 binary64))
z
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
z
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
z
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
z
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
z
(log.f64 (exp.f64 z))
z
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
z
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(neg.f64 z)
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
z
(exp.f64 (log.f64 z))
z
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
z
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
z
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
z
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(+.f64 (fma.f64 x y z) (+.f64 z z))
(+.f64 (fma.f64 x y z) (*.f64 #s(literal 2 binary64) z))
(fma.f64 #s(literal 2 binary64) z (fma.f64 x y z))
(+.f64 (*.f64 x y) (*.f64 z #s(literal 3 binary64)))
(+.f64 (fma.f64 x y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 x y z)
(+.f64 #s(literal 0 binary64) (fma.f64 x y z))
(fma.f64 x y z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y z))) (cbrt.f64 (exp.f64 (fma.f64 x y z))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y z)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y z)))))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 (fma.f64 x y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x y z)
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(fma.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) z (*.f64 z x))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)) (+.f64 z z))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))
(*.f64 z (+.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 z x z)
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 z) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (+.f64 z z))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 z) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (*.f64 z #s(literal 2 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 z) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 z) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)))
(*.f64 (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) z (+.f64 z z))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))
(*.f64 z (+.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) z (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 z x z)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 z x z)
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 z x z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z)
(fma.f64 z x z)
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) z)
(fma.f64 z x z)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(*.f64 z x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) (cbrt.f64 (pow.f64 (exp.f64 x) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x)) (cbrt.f64 (pow.f64 (exp.f64 z) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(*.f64 z x)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z x)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(*.f64 z x)
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(*.f64 z x)
(log.f64 (pow.f64 (exp.f64 x) z))
(*.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(*.f64 z x)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(*.f64 z x)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (log.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(*.f64 z x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(*.f64 z x)

eval101.0ms (2%)

Compiler

Compiled 5 227 to 1 013 computations (80.6% saved)

prune66.0ms (1.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4783481
Fresh000
Picked044
Done000
Total4787485
Accuracy
100.0%
Counts
485 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(-.f64 (*.f64 x z) z)
75.4%
(-.f64 (*.f64 x y) z)
30.2%
(*.f64 z x)
66.1%
(*.f64 x (+.f64 y z))
41.6%
(*.f64 x y)
36.6%
(neg.f64 z)
2.7%
z
Compiler

Compiled 45 to 30 computations (33.3% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
11346
Stop Event
saturated
Calls
Call 1
Inputs
z
(*.f64 x y)
x
y
(*.f64 z x)
z
x
Outputs
z
(*.f64 x y)
x
y
(*.f64 z x)
z
x

localize19.0ms (0.4%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 x y)
Samples
14.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 4.0ms (98.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 z x)>
Outputs
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
Calls

6 calls:

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

rewrite59.0ms (1.2%)

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 z x)
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 #s(literal 2 binary64) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log.f64 (*.f64 z x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z x))
(log.f64 (pow.f64 (exp.f64 z) x))
(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 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))

simplify72.0ms (1.4%)

Algorithm
egg-herbie
Rules
662×cancel-sign-sub-inv
430×sub-neg
429×times-frac
381×prod-exp
306×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080877
1160859
2460845
32198845
44680845
Stop Event
node limit
Counts
49 → 35
Calls
Call 1
Inputs
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 #s(literal 2 binary64) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log.f64 (*.f64 z x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z x))
(log.f64 (pow.f64 (exp.f64 z) x))
(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 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
Outputs
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64))
(*.f64 x z)
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(*.f64 x z)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 #s(literal 2 binary64) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64))
(*.f64 x z)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x z)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x z #s(literal 1 binary64)) (fma.f64 x z #s(literal 1 binary64)) (+.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x z #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x z #s(literal 1 binary64)) (fma.f64 x z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64)))
(*.f64 x z)
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(*.f64 x z)
(pow.f64 (E.f64) (log.f64 (*.f64 z x)))
(*.f64 x z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x z)))) (sqrt.f64 (log.f64 (*.f64 x z))))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(*.f64 x z)
(fabs.f64 (*.f64 z x))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 z) x))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(*.f64 x z)
(log1p.f64 (expm1.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(*.f64 x z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(*.f64 x z)

eval7.0ms (0.1%)

Compiler

Compiled 519 to 157 computations (69.7% saved)

prune12.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New55055
Fresh000
Picked033
Done044
Total55762
Accuracy
100.0%
Counts
62 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(-.f64 (*.f64 x z) z)
75.4%
(-.f64 (*.f64 x y) z)
30.2%
(*.f64 z x)
66.1%
(*.f64 x (+.f64 y z))
41.6%
(*.f64 x y)
36.6%
(neg.f64 z)
2.7%
z
Compiler

Compiled 88 to 46 computations (47.7% saved)

regimes15.0ms (0.3%)

Counts
9 → 1
Calls
Call 1
Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x (+.f64 y z))
(-.f64 (*.f64 x y) z)
(-.f64 (*.f64 x z) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Outputs
(-.f64 (*.f64 x (+.f64 y z)) z)
Calls

4 calls:

4.0ms
y
4.0ms
z
3.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes19.0ms (0.4%)

Counts
7 → 3
Calls
Call 1
Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x (+.f64 y z))
(-.f64 (*.f64 x y) z)
(-.f64 (*.f64 x z) z)
Outputs
(*.f64 x (+.f64 y z))
(-.f64 (*.f64 x y) z)
(*.f64 x (+.f64 y z))
Calls

3 calls:

12.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
90.2%3y
90.0%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x (+.f64 y z))
Outputs
(*.f64 x (+.f64 y z))
(neg.f64 z)
(*.f64 x (+.f64 y z))
Calls

3 calls:

3.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
66.1%1z
69.6%3y
85.2%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
4 → 5
Calls
Call 1
Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
Outputs
(*.f64 z x)
(*.f64 x y)
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
59.1%3z
58.8%3y
68.2%5x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
60.8%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
z
(neg.f64 z)
Outputs
(neg.f64 z)
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
36.6%1y
36.6%1z
36.6%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

3 calls:

2.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
2.7%1z
2.7%1x
2.7%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch22.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
1.9352537046229367e-16
1.3880881499260934e-15
12.0ms
-1.2878359601150572e+22
-89599133058187600.0
Samples
13.0ms240×0valid
Compiler

Compiled 285 to 194 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (64.7% of total)
ival-sub: 1.0ms (16.2% of total)
ival-add: 1.0ms (16.2% 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)

bsearch62.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
7.668640784898201e-23
2.3226072257908485e-22
52.0ms
-2.382115815870402e-31
-1.0691437229720668e-36
Samples
53.0ms224×0valid
Compiler

Compiled 225 to 168 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 43.0ms (93.4% of total)
ival-sub: 1.0ms (2.2% of total)
ival-add: 1.0ms (2.2% 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)

bsearch52.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.3090043117865362e+59
1.89503921373652e+64
8.0ms
7.668640784898201e-23
2.3226072257908485e-22
12.0ms
-2.382115815870402e-31
-1.0691437229720668e-36
13.0ms
-2.766716739676916e+166
-9.697362213172764e+162
Samples
30.0ms496×0valid
Compiler

Compiled 435 to 324 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (54.8% of total)
ival-sub: 3.0ms (23.5% of total)
ival-add: 2.0ms (15.7% 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)

bsearch27.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
7.668640784898201e-23
2.3226072257908485e-22
12.0ms
-2.382115815870402e-31
-1.0691437229720668e-36
Samples
12.0ms224×0valid
Compiler

Compiled 197 to 154 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.1% of total)
ival-sub: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% 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)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
050339
171339
275339
376339
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x #s(literal -90000000000000000 binary64)) (*.f64 x (+.f64 y z)) (if (<=.f64 x #s(literal 6845313241232439/5070602400912917605986812821504 binary64)) (-.f64 (*.f64 x y) z) (*.f64 x (+.f64 y z))))
(if (<=.f64 x #s(literal -8860353676318599/182687704666362864775460604089535377456991567872 binary64)) (*.f64 x (+.f64 y z)) (if (<=.f64 x #s(literal 5316911983139663/42535295865117307932921825928971026432 binary64)) (neg.f64 z) (*.f64 x (+.f64 y z))))
(if (<=.f64 x #s(literal -44999999999999998801582541477025908457651413828854707885189888260986092889594788440368827639101935243667223851493128818974602453386080142578698094227171889876303872 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal -8418249431026001/23384026197294446691258957323460528314494920687616 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 6592970859093183/42535295865117307932921825928971026432 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 1119999999999999914768637678603703509833563023345116554199040 binary64)) (*.f64 x y) (*.f64 z x)))))
(if (<=.f64 x #s(literal -4022052505934645/187072209578355573530071658587684226515959365500928 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 1595073594941899/10633823966279326983230456482242756608 binary64)) (neg.f64 z) (*.f64 x y)))
(neg.f64 z)
z
Outputs
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x #s(literal -90000000000000000 binary64)) (*.f64 x (+.f64 y z)) (if (<=.f64 x #s(literal 6845313241232439/5070602400912917605986812821504 binary64)) (-.f64 (*.f64 x y) z) (*.f64 x (+.f64 y z))))
(if (or (<=.f64 x #s(literal -90000000000000000 binary64)) (not (<=.f64 x #s(literal 6845313241232439/5070602400912917605986812821504 binary64)))) (*.f64 x (+.f64 y z)) (-.f64 (*.f64 x y) z))
(if (<=.f64 x #s(literal -8860353676318599/182687704666362864775460604089535377456991567872 binary64)) (*.f64 x (+.f64 y z)) (if (<=.f64 x #s(literal 5316911983139663/42535295865117307932921825928971026432 binary64)) (neg.f64 z) (*.f64 x (+.f64 y z))))
(if (or (<=.f64 x #s(literal -8860353676318599/182687704666362864775460604089535377456991567872 binary64)) (not (<=.f64 x #s(literal 5316911983139663/42535295865117307932921825928971026432 binary64)))) (*.f64 x (+.f64 y z)) (neg.f64 z))
(if (<=.f64 x #s(literal -44999999999999998801582541477025908457651413828854707885189888260986092889594788440368827639101935243667223851493128818974602453386080142578698094227171889876303872 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal -8418249431026001/23384026197294446691258957323460528314494920687616 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 6592970859093183/42535295865117307932921825928971026432 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 1119999999999999914768637678603703509833563023345116554199040 binary64)) (*.f64 x y) (*.f64 z x)))))
(if (<=.f64 x #s(literal -44999999999999998801582541477025908457651413828854707885189888260986092889594788440368827639101935243667223851493128818974602453386080142578698094227171889876303872 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal -8418249431026001/23384026197294446691258957323460528314494920687616 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 6592970859093183/42535295865117307932921825928971026432 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 1119999999999999914768637678603703509833563023345116554199040 binary64)) (*.f64 x y) (*.f64 x z)))))
(if (<=.f64 x #s(literal -4022052505934645/187072209578355573530071658587684226515959365500928 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 1595073594941899/10633823966279326983230456482242756608 binary64)) (neg.f64 z) (*.f64 x y)))
(if (or (<=.f64 x #s(literal -4022052505934645/187072209578355573530071658587684226515959365500928 binary64)) (not (<=.f64 x #s(literal 1595073594941899/10633823966279326983230456482242756608 binary64)))) (*.f64 x y) (neg.f64 z))
(neg.f64 z)
z

soundness932.0ms (18.3%)

Rules
1 075×fmm-def
818×log1p-expm1-u
818×expm1-log1p-u
587×fmm-def
550×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01578
119166
2271466
05408089
110917762
238057664
040399
1100391
2228381
3636353
41598329
53149329
63533329
73596329
83604329
93604329
104064329
114064329
053110830
1126210527
2366410491
Stop Event
done
node limit
saturated
node limit
node limit
Compiler

Compiled 251 to 110 computations (56.2% saved)

preprocess68.0ms (1.3%)

Compiler

Compiled 208 to 102 computations (51% saved)

end0.0ms (0%)

Profiling

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