Main:bigenough2 from A

Time bar (total: 3.8s)

analyze0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

sample856.0ms (22.3%)

Results
640.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 282.0ms
ival-mult: 179.0ms (63.5% of total)
ival-add: 92.0ms (32.6% of total)
ival-true: 6.0ms (2.1% of total)
ival-assert: 4.0ms (1.4% of total)
Bogosity

preprocess257.0ms (6.7%)

Algorithm
1×egg-herbie
Rules
994×fmm-def
513×fma-define
210×distribute-rgt-in
149×sub-neg
145×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036369
1106313
2363313
3949313
42595313
53332313
63442313
73442313
84199313
94199313
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x))))
(+.f64 x (*.f64 (neg.f64 y) (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 (neg.f64 z) x)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x)))))
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (+.f64 z x))))
(neg.f64 (+.f64 x (*.f64 y (+.f64 (neg.f64 z) x))))
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 z (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 z (+.f64 y x)))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x))))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) (neg.f64 x))
(-.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 x (*.f64 (neg.f64 y) (+.f64 z x)))
(+.f64 x (*.f64 (+.f64 x z) (neg.f64 y)))
(-.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 (neg.f64 y) (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 (neg.f64 z) x)))
(+.f64 x (*.f64 y (+.f64 x (neg.f64 z))))
(fma.f64 y (-.f64 x z) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x)))))
(+.f64 x (*.f64 y (+.f64 x (neg.f64 z))))
(fma.f64 y (-.f64 x z) x)
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (+.f64 z x))))
(neg.f64 (+.f64 x (*.f64 (+.f64 x z) (neg.f64 y))))
(-.f64 (*.f64 y (+.f64 x z)) x)
(fma.f64 y (+.f64 x z) (neg.f64 x))
(neg.f64 (+.f64 x (*.f64 y (+.f64 (neg.f64 z) x))))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) (neg.f64 x))
(-.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 y (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) y)
(+.f64 z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) z)
(+.f64 x (*.f64 z (+.f64 y x)))
(+.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) x)

explain82.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 z x)
00-0-y
00-0-(*.f64 y (+.f64 z x))
00-0-(+.f64 x (*.f64 y (+.f64 z x)))
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
35.0ms512×0valid
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (53.3% of total)
ival-mult: 3.0ms (32% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

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

Compiled 10 to 6 computations (40% saved)

simplify14.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 x (*.f64 y (+.f64 z x)))
✓cost-diff0
(+.f64 z x)
✓cost-diff0
(*.f64 y (+.f64 z x))
Rules
66×fma-define
8×associate-*r*
8×associate-*l*
7×+-commutative
6×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01278
12174
23874
35374
46674
57374
67974
79874
811474
912874
1014674
1115374
1215474
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
x
(*.f64 y (+.f64 z x))
y
(+.f64 z x)
z
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
x
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
y
(+.f64 z x)
(+.f64 x z)
z

localize24.0ms (0.6%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 z x)
✓accuracy100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
✓accuracy100.0%
(*.f64 y (+.f64 z x))
Results
18.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 6.0ms (75.8% of total)
ival-mult: 2.0ms (25.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.3%)

Counts
3 → 96
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 z x))>
#<alt (+.f64 z x)>
#<alt (+.f64 x (*.f64 y (+.f64 z x)))>
Outputs
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt x>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
Calls

24 calls:

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

rewrite336.0ms (8.7%)

Algorithm
1×batch-egg-rewrite
Rules
864×log1p-expm1-u
864×expm1-log1p-u
441×fma-define
385×log-prod
199×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01266
115162
2236162
Stop Event
1×node limit
Counts
3 → 187
Calls
Call 1
Inputs
(*.f64 y (+.f64 z x))
(+.f64 z x)
(+.f64 x (*.f64 y (+.f64 z x)))
Outputs
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y z) (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 z x))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y) (-.f64 z x))
(pow.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 z x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 y x)) (exp.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (+.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 z x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(fma.f64 y z (*.f64 y x))
(fma.f64 y x (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 y x))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z x)))
(*.f64 (+.f64 z x) #s(literal 1 binary64))
(*.f64 (+.f64 z x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 (cbrt.f64 (+.f64 z x)) (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z x)))
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(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))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(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)))
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))))
(*.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (+.f64 z x) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) (sqrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 z x)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 z x) (neg.f64 x)))
(pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (+.f64 z x)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 y z (fma.f64 y x x))
(fma.f64 y (+.f64 z x) x)
(fma.f64 z y (fma.f64 y x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(fma.f64 (+.f64 z x) y x)
(fma.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (+.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 z x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (+.f64 z x)) (*.f64 (sqrt.f64 (+.f64 z x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 y x x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 y x x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 y x x))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 y x x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 z x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)) x)
(fma.f64 (*.f64 (+.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (+.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 y x x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y x x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x x))

simplify167.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
470×associate-/l*
338×cancel-sign-sub-inv
287×fmm-def
285×distribute-lft-neg-in
262×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04598917
111208263
232728188
Stop Event
1×node limit
Counts
283 → 248
Calls
Call 1
Inputs
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 y z)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
x
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
z
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
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(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 y z (fma.f64 y x x))
(fma.f64 y (+.f64 z x) x)
(fma.f64 z y (fma.f64 y x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(fma.f64 (+.f64 z x) y x)
(fma.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (+.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 z x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (+.f64 z x)) (*.f64 (sqrt.f64 (+.f64 z x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 y x x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 y x x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 y x x))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 y x x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 z x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)) x)
(fma.f64 (*.f64 (+.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (+.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 y x x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y x x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x x))
Outputs
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 y z)
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
x
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z))))
z
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (neg.f64 x))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (+.f64 y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 y (/.f64 z x) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (+.f64 y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 y (/.f64 z x) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (+.f64 y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 y (/.f64 z x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (+.f64 y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 y (/.f64 z x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (+.f64 y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 y (/.f64 z x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (+.f64 y (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 y (/.f64 z x) y) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(*.f64 y z)
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 (+.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (fma.f64 x (/.f64 y z) (/.f64 x z))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 y x x) z)))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 (+.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (fma.f64 x (/.f64 y z) (/.f64 x z))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 y x x) z)))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 (+.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (fma.f64 x (/.f64 y z) (/.f64 x z))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 y x x) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 z (+.f64 (+.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (fma.f64 x (/.f64 y z) (/.f64 x z))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 y x x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 z (+.f64 (+.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (fma.f64 x (/.f64 y z) (/.f64 x z))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 y x x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 z (+.f64 (+.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (fma.f64 x (/.f64 y z) (/.f64 x z))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 y x x) z)))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (+.f64 x z))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 z x)))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 x z))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 z x)) y))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 z x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 x z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 x z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 z x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 3 binary64))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(pow.f64 (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 x z))))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 z x) x))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (+.f64 z x)) y)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (exp.f64 x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 y z (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 y (+.f64 z x) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 z y (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (+.f64 z x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 z x)) y) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 z x)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (sqrt.f64 (+.f64 z x)) (*.f64 (sqrt.f64 (+.f64 z x)) y) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 z x)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 (+.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 (+.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y (+.f64 x z) x)

eval71.0ms (1.9%)

Compiler

Compiled 3265 to 751 computations (77% saved)

prune38.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2453248
Fresh000
Picked011
Done000
Total2454249
Accuracy
100.0%
Counts
249 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
✓100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
▶79.1%
(+.f64 x (*.f64 y z))
▶61.3%
(+.f64 x (*.f64 y x))
Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify17.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(*.f64 x (+.f64 #s(literal 1 binary64) y))
✓cost-diff-6144
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(+.f64 #s(literal 1 binary64) y)
✓cost-diff-6272
(+.f64 x (*.f64 y z))
✓cost-diff0
(*.f64 y z)
✓cost-diff-6272
(+.f64 x (*.f64 y x))
✓cost-diff0
(*.f64 y x)
Rules
63×fma-define
8×associate-*r*
8×associate-*l*
6×*-commutative
6×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017175
138168
253167
382163
4103163
5118163
6136163
7143163
8144163
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y x))
x
(*.f64 y x)
y
(+.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y z)
z
Outputs
(+.f64 x (*.f64 y x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
x
(*.f64 y x)
(*.f64 x y)
y
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
x
(*.f64 y z)
y
z
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 y z (fma.f64 x y x))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
x
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
y
(*.f64 y z)
z

localize45.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) y))
✓accuracy98.0%
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(+.f64 x (*.f64 y z))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(+.f64 x (*.f64 y x))
Results
32.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (49.2% of total)
ival-add: 4.0ms (39.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.3%)

Counts
7 → 126
Calls
Call 1
Inputs
#<alt (*.f64 y x)>
#<alt (+.f64 x (*.f64 y x))>
#<alt (*.f64 y z)>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x 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 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt #s(literal 1 binary64)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x 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 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
Calls

45 calls:

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

rewrite156.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
829×log1p-expm1-u
829×expm1-log1p-u
601×log-prod
388×fmm-def
205×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017129
1258122
23582122
Stop Event
1×node limit
Counts
7 → 264
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 x (*.f64 y x))
(*.f64 y z)
(+.f64 x (*.f64 y z))
(+.f64 #s(literal 1 binary64) y)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y x (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x))))
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(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y x (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(log1p.f64 (expm1.f64 (fma.f64 y x x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))

simplify153.0ms (4%)

Algorithm
1×egg-herbie
Rules
573×fmm-def
488×distribute-lft-neg-in
431×distribute-rgt-neg-in
368×associate-+r+
250×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052912111
1121811203
2414710774
Stop Event
1×node limit
Counts
390 → 288
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #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 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
x
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
#s(literal 1 binary64)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y z)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
x
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))))
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #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 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y x (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y x (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(log1p.f64 (expm1.f64 (fma.f64 y x x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
Outputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
x
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)))
x
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) z))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) z))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) z))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) z))
x
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
#s(literal 1 binary64)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y z)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) z)))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) z)))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 z (fma.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 z (fma.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 z (fma.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) z) y))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 z (fma.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 z (fma.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 z (fma.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) z) y))
x
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 y x)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) #s(literal 1 binary64))
(fma.f64 x y x)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
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(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(fma.f64 x y x)
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64))
(fma.f64 x y x)
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x y x)
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))
(fma.f64 x y x)
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(fma.f64 x y x)
(log.f64 (exp.f64 (fma.f64 y x x)))
(fma.f64 x y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x))))
(fma.f64 x y x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(fma.f64 x y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) x)))
(fma.f64 x y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(fma.f64 x y x)
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 x)))
(fma.f64 x y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x y x)
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 x y x)
(log1p.f64 (expm1.f64 (fma.f64 y x x)))
(fma.f64 x y x)
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(fma.f64 x y x)
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(fma.f64 x y x)

eval69.0ms (1.8%)

Compiler

Compiled 3859 to 771 computations (80% saved)

prune71.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3034307
Fresh000
Picked123
Done101
Total3056311
Accuracy
100.0%
Counts
311 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.3%
(+.f64 (*.f64 x y) (*.f64 y z))
✓79.1%
(+.f64 x (*.f64 y z))
✓61.3%
(+.f64 x (*.f64 y x))
▶63.7%
(*.f64 y (+.f64 x z))
▶42.6%
(*.f64 y z)
▶38.1%
x
Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
✓cost-diff0
(*.f64 x y)
✓cost-diff128
(+.f64 (*.f64 x y) (*.f64 y z))
✓cost-diff0
(+.f64 x z)
✓cost-diff0
(*.f64 y (+.f64 x z))
cost-diff0
(*.f64 y z)
Rules
4×fma-define
3×*-commutative
2×+-commutative
1×distribute-rgt-in
1×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014132
123132
226132
Stop Event
1×saturated
Calls
Call 1
Inputs
x
(*.f64 y z)
y
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
x
z
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 x y)
x
y
(*.f64 y z)
z
Outputs
x
(*.f64 y z)
y
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
x
z
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(*.f64 x y)
x
y
(*.f64 y z)
z

localize71.0ms (1.8%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy98.0%
(+.f64 (*.f64 x y) (*.f64 y z))
✓accuracy100.0%
(+.f64 x z)
✓accuracy100.0%
(*.f64 y (+.f64 x z))
accuracy100.0%
(*.f64 y z)
Results
58.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (62.9% of total)
ival-add: 2.0ms (25.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 x z))>
#<alt (+.f64 x z)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 x y)>
Outputs
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt z>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt x>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 y z)>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 x y)>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
Calls

30 calls:

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

rewrite116.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
909×log1p-expm1-u
909×expm1-log1p-u
466×fma-define
455×log-prod
213×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
119270
2248370
Stop Event
1×node limit
Counts
4 → 211
Calls
Call 1
Inputs
(*.f64 y (+.f64 x z))
(+.f64 x z)
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 x y)
Outputs
(+.f64 (*.f64 y x) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 x z)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 y (-.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 x z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y z))
(fma.f64 y z (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))
(*.f64 (+.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x z))
(*.f64 (cbrt.f64 (+.f64 x z)) (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x z)))
(*.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 x z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(pow.f64 (+.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x z))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x z)))
(log1p.f64 (expm1.f64 (+.f64 x z)))
(exp.f64 (log.f64 (+.f64 x z)))
(exp.f64 (*.f64 (log.f64 (+.f64 x z)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 x z))))
(*.f64 y (+.f64 x z))
(*.f64 (+.f64 x z) y)
(*.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x z)) y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x z)))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))))
(*.f64 (sqrt.f64 (+.f64 x z)) (*.f64 (sqrt.f64 (+.f64 x z)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x z)))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x z)))
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)))
(*.f64 (*.f64 (+.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 x z)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 y (-.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 x z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y z))
(fma.f64 y z (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))

simplify159.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
522×associate-/l*
518×distribute-lft-in
487×distribute-rgt-in
304×associate-/r*
285×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03618343
18338136
224078120
Stop Event
1×node limit
Counts
283 → 189
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
z
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
x
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
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(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y z))
(fma.f64 y z (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
Outputs
(*.f64 y z)
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
z
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (neg.f64 x))
x
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) (neg.f64 z))
(*.f64 y z)
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (+.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (+.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (+.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (+.f64 z x))
(*.f64 x y)
(*.f64 y x)
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(+.f64 (*.f64 y x) (*.f64 y z))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 z x))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (+.f64 z x))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 x z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 y (-.f64 x z)))
(/.f64 (*.f64 (*.f64 y y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y z) (*.f64 y (-.f64 z x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 y z) (*.f64 y (-.f64 z x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y (-.f64 z x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 x z)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 y (-.f64 x z)))
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(expm1.f64 (log1p.f64 (*.f64 y x)))
(*.f64 y x)
(log1p.f64 (expm1.f64 (*.f64 y x)))
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 y x)

eval53.0ms (1.4%)

Compiler

Compiled 2575 to 544 computations (78.9% saved)

prune161.0ms (4.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2261227
Fresh000
Picked044
Done022
Total2267233
Accuracy
100.0%
Counts
233 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.3%
(+.f64 (*.f64 x y) (*.f64 y z))
✓79.1%
(+.f64 x (*.f64 y z))
✓61.3%
(+.f64 x (*.f64 y x))
✓63.7%
(*.f64 y (+.f64 x z))
✓42.6%
(*.f64 y z)
▶26.2%
(*.f64 y x)
✓38.1%
x
Compiler

Compiled 50 to 32 computations (36% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize52.0ms (1.4%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
Results
48.0ms256×0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (81.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval2.0ms (0.1%)

Compiler

Compiled 136 to 46 computations (66.2% saved)

prune6.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New19019
Fresh000
Picked011
Done066
Total19726
Accuracy
100.0%
Counts
26 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.3%
(+.f64 (*.f64 x y) (*.f64 y z))
✓79.1%
(+.f64 x (*.f64 y z))
✓61.3%
(+.f64 x (*.f64 y x))
✓63.7%
(*.f64 y (+.f64 x z))
✓42.6%
(*.f64 y z)
✓26.2%
(*.f64 y x)
✓38.1%
x
Compiler

Compiled 98 to 50 computations (49% saved)

regimes16.0ms (0.4%)

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

4 calls:

5.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
3.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes85.0ms (2.2%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 y x)
(*.f64 y z)
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
Outputs
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y z))
(*.f64 y (+.f64 x z))
Calls

3 calls:

79.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
88.2%3x
99.8%3y
91.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

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

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
78.8%3x
82.2%3z
87.3%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
87.3%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.5%)

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

3 calls:

14.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
57.7%4x
65.0%5z
66.4%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 y x)
Outputs
(*.f64 y x)
x
(*.f64 y x)
Calls

2 calls:

2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
41.8%3z
61.1%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
38.1%1z
38.1%1x
38.1%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.1945589077788778e-18
3424874.9732274297
13.0ms
-9.079916664766024e+26
-3.5090837264604405e+21
Results
17.0ms320×0valid
Compiler

Compiled 373 to 252 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (52.7% of total)
ival-mult: 2.0ms (35.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
6.780217250061136e-36
4.090920240785814e-35
13.0ms
-0.5637293313902121
-6.415242162745031e-6
Results
13.0ms240×0valid
Compiler

Compiled 283 to 192 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 4.0ms (69.5% of total)
ival-mult: 2.0ms (34.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
6.780217250061136e-36
4.090920240785814e-35
17.0ms
-4.140887016932833e-15
-1.5808556135765542e-27
Results
12.0ms256×0valid
Compiler

Compiled 237 to 172 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (64.6% of total)
ival-mult: 2.0ms (43% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch95.0ms (2.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
6.780217250061136e-36
4.090920240785814e-35
86.0ms
-4.140887016932833e-15
-1.5808556135765542e-27
Results
12.0ms256×0valid
Compiler

Compiled 205 to 156 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (65.7% of total)
ival-mult: 2.0ms (43.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
24823050477997856.0
25290472327787380.0
11.0ms
-0.5637293313902121
-6.415242162745031e-6
Results
7.0ms144×0valid
Compiler

Compiled 121 to 93 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 1.0ms (37.7% of total)
ival-mult: 1.0ms (37.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×if-if-or-not
4×+-commutative
3×1-exp
3×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051338
182338
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y #s(literal -3550000000000000000000 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 x z))))
(if (<=.f64 y #s(literal -662929865148937/288230376151711744 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 5612166287350667/374144419156711147060143317175368453031918731001856 binary64)) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 x z))))
(if (<=.f64 y #s(literal -15057660889751/2596148429267413814265248164610048 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 5686995171182009/748288838313422294120286634350736906063837462003712 binary64)) x (*.f64 y (+.f64 x z))))
(if (<=.f64 y #s(literal -616761790044201/21267647932558653966460912964485513216 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 888592995497189/23384026197294446691258957323460528314494920687616 binary64)) x (*.f64 y z)))
(if (<=.f64 y #s(literal -2476979795053773/4503599627370496 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 25000000000000000 binary64)) x (*.f64 y x)))
x
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 y #s(literal -3550000000000000000000 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 x z))))
(if (or (<=.f64 y #s(literal -3550000000000000000000 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y (+.f64 x z)) (+.f64 x (*.f64 y z)))
(if (<=.f64 y #s(literal -662929865148937/288230376151711744 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 5612166287350667/374144419156711147060143317175368453031918731001856 binary64)) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 x z))))
(if (or (<=.f64 y #s(literal -662929865148937/288230376151711744 binary64)) (not (<=.f64 y #s(literal 5612166287350667/374144419156711147060143317175368453031918731001856 binary64)))) (*.f64 y (+.f64 x z)) (+.f64 x (*.f64 x y)))
(if (<=.f64 y #s(literal -15057660889751/2596148429267413814265248164610048 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 5686995171182009/748288838313422294120286634350736906063837462003712 binary64)) x (*.f64 y (+.f64 x z))))
(if (or (<=.f64 y #s(literal -15057660889751/2596148429267413814265248164610048 binary64)) (not (<=.f64 y #s(literal 5686995171182009/748288838313422294120286634350736906063837462003712 binary64)))) (*.f64 y (+.f64 x z)) x)
(if (<=.f64 y #s(literal -616761790044201/21267647932558653966460912964485513216 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 888592995497189/23384026197294446691258957323460528314494920687616 binary64)) x (*.f64 y z)))
(if (or (<=.f64 y #s(literal -616761790044201/21267647932558653966460912964485513216 binary64)) (not (<=.f64 y #s(literal 888592995497189/23384026197294446691258957323460528314494920687616 binary64)))) (*.f64 y z) x)
(if (<=.f64 y #s(literal -2476979795053773/4503599627370496 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 25000000000000000 binary64)) x (*.f64 y x)))
(if (or (<=.f64 y #s(literal -2476979795053773/4503599627370496 binary64)) (not (<=.f64 y #s(literal 25000000000000000 binary64)))) (*.f64 x y) x)
x

soundness332.0ms (8.7%)

Rules
522×associate-/l*
518×distribute-lft-in
487×distribute-rgt-in
470×associate-/l*
338×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04598917
111208263
232728188
03618343
18338136
224078120
Stop Event
1×done
1×node limit
1×node limit
Compiler

Compiled 112 to 57 computations (49.1% saved)

preprocess135.0ms (3.5%)

Compiler

Compiled 200 to 102 computations (49% saved)

end0.0ms (0%)

Profiling

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