Main:bigenough2 from A

Time bar (total: 4.6s)

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 11 to 7 computations (36.4% saved)

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

sample1.0s (22.1%)

Results
843.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 487.0ms
ival-add: 339.0ms (69.6% of total)
ival-mult: 139.0ms (28.6% of total)
const: 7.0ms (1.4% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess173.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
994×fma-neg
513×fma-define
210×distribute-rgt-in
181×unsub-neg
147×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036369
1106313
2363313
3949313
42595313
53322313
63432313
73432313
84189313
94189313
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)))
(+.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)

explain81.0ms (1.7%)

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 64 to 26 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 6.0ms (56.4% of total)
ival-mult: 4.0ms (37.6% of total)
const: 1.0ms (9.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

prune4.0ms (0.1%)

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)

simplify13.0ms (0.3%)

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 (0.5%)

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 22 to 7 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (53.4% of total)
ival-mult: 2.0ms (35.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (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
4.0ms
y
@0
(* y (+ z x))
1.0ms
z
@-inf
(* y (+ z x))
1.0ms
y
@-inf
(* y (+ z x))
1.0ms
y
@inf
(+ x (* y (+ z x)))
0.0ms
y
@inf
(* y (+ z x))

rewrite219.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
864×log1p-expm1-u
864×expm1-log1p-u
441×fma-define
385×log-prod
199×fma-neg
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))

simplify151.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
464×associate-/l*
330×cancel-sign-sub-inv
285×distribute-lft-neg-in
262×distribute-rgt-neg-in
253×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04598917
111198263
232678188
Stop Event
1×node limit
Counts
283 → 246
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))))
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(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))
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 (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))))
(neg.f64 (*.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))))
(neg.f64 (*.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))
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 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 z 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 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 z 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 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 z 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 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) y))))
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(/.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)

eval35.0ms (0.7%)

Compiler

Compiled 3226 to 741 computations (77% saved)

prune45.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2424246
Fresh000
Picked011
Done000
Total2425247
Accuracy
100.0%
Counts
247 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
▶91.2%
(+.f64 x (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z))))
✓100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
▶73.9%
(+.f64 x (*.f64 y z))
▶68.4%
(+.f64 x (*.f64 y x))
Compiler

Compiled 52 to 32 computations (38.5% saved)

simplify286.0ms (6.2%)

Algorithm
1×egg-herbie
Localize:

Found 12 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-6016
(+.f64 x (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z))))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 (*.f64 x y) z)
✓cost-diff256
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
✓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
1373×fma-define
1205×associate-/l*
936×*-commutative
668×associate-/l/
368×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022358
153328
294328
3177286
4283286
5538286
61267286
72883286
83908286
94120286
104192286
114240286
124278286
134945286
145342286
155400286
165441286
175480286
185521286
195564286
205609286
215656286
227240286
Stop Event
1×node limit
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 x (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z))))
x
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
z
(+.f64 y (/.f64 (*.f64 x y) z))
y
(/.f64 (*.f64 x y) z)
(*.f64 x y)
(+.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 x (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z))))
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(fma.f64 y (+.f64 x z) x)
x
(*.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 (+.f64 x z))
z
(+.f64 y (/.f64 (*.f64 x y) z))
(+.f64 y (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 y (/.f64 x z) y)
y
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 x y)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(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

localize92.0ms (2%)

Localize:

Found 12 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))
✓accuracy99.3%
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(+.f64 y (/.f64 (*.f64 x y) z))
✓accuracy94.9%
(/.f64 (*.f64 x y) z)
✓accuracy91.1%
(*.f64 z (+.f64 y (/.f64 (*.f64 x 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
71.0ms256×0valid
Compiler

Compiled 87 to 17 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 10.0ms (44.8% of total)
ival-add: 8.0ms (35.9% of total)
ival-div: 5.0ms (22.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series114.0ms (2.5%)

Counts
12 → 222
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 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x y)>
#<alt (+.f64 x (*.f64 z (+.f64 y (/.f64 (*.f64 x 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))>
#<alt (+.f64 y (/.f64 (*.f64 x y) z))>
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 (*.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 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 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))>
#<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 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 (+.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)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))>
#<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)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt y>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x (+.f64 (/.f64 y x) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 (/.f64 y x) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 (/.f64 y x) (/.f64 y z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 y z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 y z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 y z)) z)>
#<alt y>
#<alt y>
Calls

87 calls:

TimeVariablePointExpression
86.0ms
x
@inf
(* z (+ y (/ (* x y) z)))
2.0ms
z
@-inf
(* z (+ y (/ (* x y) z)))
1.0ms
y
@0
(* y x)
1.0ms
y
@inf
(* z (+ y (/ (* x y) z)))
1.0ms
y
@-inf
(* z (+ y (/ (* x y) z)))

rewrite297.0ms (6.4%)

Algorithm
1×batch-egg-rewrite
Rules
1358×log1p-expm1-u
169×expm1-log1p-u
168×add-cube-cbrt
165×add-exp-log
165×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022284
1393261
25795261
Stop Event
1×node limit
Counts
12 → 384
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 x (*.f64 y x))
(*.f64 y z)
(+.f64 x (*.f64 y z))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(/.f64 (*.f64 x y) z)
(*.f64 x y)
(+.f64 x (*.f64 z (+.f64 y (/.f64 (*.f64 x 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))
(+.f64 y (/.f64 (*.f64 x y) z))
Outputs
(-.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 x) y))
(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) (-.f64 (*.f64 y x) 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) (-.f64 (*.f64 y x) 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) (-.f64 (*.f64 y x) 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) (-.f64 (*.f64 y x) 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))) (-.f64 (*.f64 y x) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y)))
(/.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 (pow.f64 y #s(literal 2 binary64)) y)))
(/.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))))
(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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 x (*.f64 y z))))
(*.f64 (fma.f64 y z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y z x))
(*.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z x)))
(*.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(pow.f64 (fma.f64 y z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z x))))
(cbrt.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(log1p.f64 (expm1.f64 (fma.f64 y z x)))
(exp.f64 (log.f64 (fma.f64 y z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z x)) #s(literal 1 binary64)))
(fma.f64 y z x)
(fma.f64 z y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 z (*.f64 y (/.f64 x z))))
(+.f64 (*.f64 y z) (*.f64 (*.f64 z (*.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (*.f64 y (/.f64 x z))) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 y (/.f64 x z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 y (/.f64 x z))) (*.f64 z (*.f64 y (/.f64 x z)))) (*.f64 (*.f64 y z) (*.f64 z (*.f64 y (/.f64 x z)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 y (/.f64 x z))) (*.f64 z (*.f64 y (/.f64 x z))))) (-.f64 (*.f64 y z) (*.f64 z (*.f64 y (/.f64 x z)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (-.f64 y (*.f64 y (/.f64 x z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) z) (-.f64 y (*.f64 y (/.f64 x z))))
(pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (/.f64 y z) y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 z (*.f64 y (/.f64 x z))))
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(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 z y (fma.f64 y x x))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (fma.f64 y x x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (*.f64 y z))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 y x x))
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(-.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 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) 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) (-.f64 (*.f64 y x) 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) (-.f64 (*.f64 y x) 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))) (-.f64 (*.f64 y x) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y)))
(/.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 (pow.f64 y #s(literal 2 binary64)) y)))
(/.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))))
(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))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 y (/.f64 x z)))) (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (-.f64 y (*.f64 y (/.f64 x z)))))
(*.f64 (fma.f64 x (/.f64 y z) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) y))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) (sqrt.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 y (/.f64 x z))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 y (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (-.f64 y (*.f64 y (/.f64 x z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 x z)) y))
(pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) y)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (/.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (/.f64 x z)))

simplify358.0ms (7.7%)

Algorithm
1×egg-herbie
Rules
952×fma-neg
475×associate-*r*
376×associate-*l*
314×fma-define
269×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078322560
1187820515
2660520457
Stop Event
1×node limit
Counts
606 → 498
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)))))
(*.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 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 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
(*.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 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.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 #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 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #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 #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 x y))
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(*.f64 y z)
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.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 (*.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 (*.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 (*.f64 x y)) z)))))
x
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))
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(/.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (fma.f64 y x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (fma.f64 y x x) (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (fma.f64 y x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 y x x) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (fma.f64 y x x)))
(pow.f64 (fma.f64 y z (fma.f64 y x x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z (fma.f64 y x x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z (fma.f64 y x x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z (fma.f64 y x x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z (fma.f64 y x x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z (fma.f64 y x x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z (fma.f64 y x x)))))
(cbrt.f64 (pow.f64 (fma.f64 y z (fma.f64 y x x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z (fma.f64 y x x))))
(log1p.f64 (expm1.f64 (fma.f64 y z (fma.f64 y x x))))
(exp.f64 (log.f64 (fma.f64 y z (fma.f64 y x x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z (fma.f64 y x x))) #s(literal 1 binary64)))
(fma.f64 y z (fma.f64 y x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 z y (fma.f64 y x x))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (fma.f64 y x x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (*.f64 y z))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 y x x))
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(-.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 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) 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) (-.f64 (*.f64 y x) 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) (-.f64 (*.f64 y x) 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))) (-.f64 (*.f64 y x) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y)))
(/.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 (pow.f64 y #s(literal 2 binary64)) y)))
(/.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))))
(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))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 y (/.f64 x z)))) (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (-.f64 y (*.f64 y (/.f64 x z)))))
(*.f64 (fma.f64 x (/.f64 y z) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) y))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) (sqrt.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 y (/.f64 x z))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 y (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (-.f64 y (*.f64 y (/.f64 x z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 x z)) y))
(pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) y)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (/.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (/.f64 x z)))
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))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 x (neg.f64 (-.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 x (neg.f64 (-.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 x (neg.f64 (-.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) 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 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 (neg.f64 y) (-.f64 (neg.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 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 (neg.f64 y) (-.f64 (neg.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 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 (neg.f64 y) (-.f64 (neg.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 x (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 (neg.f64 y) (/.f64 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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 (neg.f64 y) (/.f64 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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #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 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z (neg.f64 (/.f64 x y))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x (neg.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 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z (neg.f64 (/.f64 x y))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x (neg.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 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z (neg.f64 (/.f64 x y))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x (neg.f64 y)) z))
x
(*.f64 y z)
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(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 x z)) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 x (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64))))
(pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (/.f64 y z) y))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 x (/.f64 y z) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (/.f64 x z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (/.f64 x z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (/.f64 x z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)

eval72.0ms (1.5%)

Compiler

Compiled 7679 to 1521 computations (80.2% saved)

prune107.0ms (2.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New5093512
Fresh000
Picked134
Done011
Total5107517
Accuracy
100.0%
Counts
517 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.1%
(+.f64 (*.f64 x y) (*.f64 y z))
✓91.2%
(+.f64 x (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z))))
✓100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
✓73.9%
(+.f64 x (*.f64 y z))
✓68.4%
(+.f64 x (*.f64 y x))
▶36.7%
(*.f64 y z)
▶39.8%
x
Compiler

Compiled 60 to 37 computations (38.3% saved)

simplify12.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 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 y z)
Rules
4×fma-define
3×*-commutative
2×+-commutative
2×distribute-lft-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01290
11785
22485
32585
Stop Event
1×saturated
Calls
Call 1
Inputs
x
(*.f64 y z)
y
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 (*.f64 x y) (*.f64 y z))
(fma.f64 x y (*.f64 y z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 x y)
x
y
(*.f64 y z)
z

localize59.0ms (1.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.3%
(+.f64 (*.f64 x y) (*.f64 y z))
accuracy100.0%
(*.f64 y z)
Results
43.0ms256×0valid
Compiler

Compiled 26 to 7 computations (73.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (75.5% of total)
ival-add: 2.0ms (18.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (1%)

Counts
2 → 30
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 x y)>
Outputs
#<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

15 calls:

TimeVariablePointExpression
42.0ms
z
@-inf
(+ (* x y) (* y z))
0.0ms
x
@inf
(+ (* x y) (* y z))
0.0ms
x
@-inf
(+ (* x y) (* y z))
0.0ms
y
@-inf
(+ (* x y) (* y z))
0.0ms
x
@0
(+ (* x y) (* y z))

rewrite110.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
664×unpow-prod-down
661×log1p-expm1-u
661×expm1-log1p-u
355×log-prod
326×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01240
113835
2181535
Stop Event
1×node limit
Counts
2 → 106
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 x y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #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 y (+.f64 z x))
(*.f64 y (pow.f64 (+.f64 x z) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (+.f64 z x) #s(literal 1 binary64)))
(*.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(*.f64 (*.f64 y (+.f64 x z)) (log.f64 (exp.f64 #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 (sqrt.f64 (*.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y (+.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 x z)) (-.f64 (pow.f64 (*.f64 x y) #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 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 y (-.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #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 x y) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 x y)))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 x z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))
(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 x y))) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.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 x y)))))
(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 x y)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 x z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 y x (*.f64 y z))
(fma.f64 y z (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 z y (*.f64 x y))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x y))
(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 x y))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x y))
(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))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (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 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))

simplify137.0ms (3%)

Algorithm
1×egg-herbie
Rules
692×fma-define
516×times-frac
380×div-sub
260×distribute-lft-in
260×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02754344
16304191
217254141
369304110
Stop Event
1×node limit
Counts
136 → 134
Calls
Call 1
Inputs
(*.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 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 #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 #s(literal -1 binary64) z))))
(*.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 #s(literal -1 binary64) z))))
(*.f64 x y)
(*.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 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #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 y (+.f64 z x))
(*.f64 y (pow.f64 (+.f64 x z) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (+.f64 z x) #s(literal 1 binary64)))
(*.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(*.f64 (*.f64 y (+.f64 x z)) (log.f64 (exp.f64 #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 (sqrt.f64 (*.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y (+.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 x z)) (-.f64 (pow.f64 (*.f64 x y) #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 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 y (-.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #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 x y) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 x y)))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 x z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))
(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 x y))) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.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 x y)))))
(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 x y)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 x z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 y x (*.f64 y z))
(fma.f64 y z (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 z y (*.f64 x y))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x y))
(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 x y))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x y))
(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))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (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 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
Outputs
(*.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))))
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(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(*.f64 y (+.f64 z x))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))
(*.f64 y (+.f64 z x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(*.f64 y (+.f64 z x))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(*.f64 y (+.f64 z x))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 z) y)))
(*.f64 y (+.f64 z x))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(*.f64 y (+.f64 z x))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(*.f64 y (+.f64 z x))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 y) x)))
(*.f64 y (+.f64 z x))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(*.f64 y (+.f64 z x))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(*.f64 y (+.f64 z x))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(*.f64 y (+.f64 z x))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(*.f64 y (+.f64 z x))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(*.f64 y (+.f64 z x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(*.f64 y (+.f64 z x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(*.f64 y (+.f64 z x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 x z)))) #s(literal 1/3 binary64)))
(*.f64 y (+.f64 z x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(*.f64 y (+.f64 z x))
(fma.f64 x y (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 y x (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 y z (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 z y (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(*.f64 y (+.f64 z x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x y))
(*.f64 y (+.f64 z x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))
(*.f64 y (+.f64 z x))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 y x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 y x)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 y x)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 y x)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 y x)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 y x)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 y x)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 y x)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 y x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 y x)

eval21.0ms (0.4%)

Compiler

Compiled 2013 to 404 computations (79.9% saved)

prune29.0ms (0.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1593162
Fresh000
Picked033
Done224
Total1618169
Accuracy
100.0%
Counts
169 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.1%
(+.f64 (*.f64 x y) (*.f64 y z))
✓73.9%
(+.f64 x (*.f64 y z))
✓68.4%
(+.f64 x (*.f64 y x))
▶56.4%
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
▶61.9%
(*.f64 y (+.f64 z x))
✓36.7%
(*.f64 y z)
▶30.6%
(*.f64 y x)
✓39.8%
x
Compiler

Compiled 62 to 39 computations (37.1% saved)

simplify182.0ms (3.9%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 y (/.f64 (*.f64 x y) z))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
cost-diff256
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 y (+.f64 z x))
cost-diff0
(*.f64 y x)
Rules
1026×fma-define
777×times-frac
756×associate-/r*
618×cube-prod
581×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016168
131164
253164
379164
4103164
5127164
6268164
7697164
83009164
93734164
104330164
114780164
124904164
135057164
146782164
156926164
167278164
177881164
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 y x)
y
x
(*.f64 y (+.f64 z x))
y
(+.f64 z x)
z
x
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
z
(+.f64 y (/.f64 (*.f64 x y) z))
y
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
Outputs
(*.f64 y x)
y
x
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
y
(+.f64 z x)
(+.f64 x z)
z
x
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 y (+.f64 x z))
z
(+.f64 y (/.f64 (*.f64 x y) z))
(+.f64 y (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 y (/.f64 x z) y)
y
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 x y)
(*.f64 y x)
x

localize108.0ms (2.3%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 y (/.f64 (*.f64 x y) z))
accuracy94.9%
(/.f64 (*.f64 x y) z)
accuracy91.1%
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(*.f64 y (+.f64 z x))
accuracy100.0%
(*.f64 y x)
Results
95.0ms256×0valid
Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 69.0ms (92% of total)
ival-add: 4.0ms (5.3% of total)
ival-div: 2.0ms (2.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval44.0ms (0.9%)

Compiler

Compiled 4593 to 1054 computations (77.1% saved)

prune51.0ms (1.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3490349
Fresh000
Picked033
Done055
Total3498357
Accuracy
100.0%
Counts
357 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.1%
(+.f64 (*.f64 x y) (*.f64 y z))
✓73.9%
(+.f64 x (*.f64 y z))
✓68.4%
(+.f64 x (*.f64 y x))
✓56.4%
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
✓61.9%
(*.f64 y (+.f64 z x))
✓36.7%
(*.f64 y z)
✓30.6%
(*.f64 y x)
✓39.8%
x
Compiler

Compiled 130 to 59 computations (54.6% saved)

regimes17.0ms (0.4%)

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

4 calls:

4.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
4.0ms
x
4.0ms
z
4.0ms
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)

regimes10.0ms (0.2%)

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

3 calls:

4.0ms
y
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
91.2%4x
98.2%3y
89.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
90.0%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes82.0ms (1.8%)

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

3 calls:

78.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
61.9%1z
67.6%3x
89.1%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
73.7%5y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (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
x
Results
AccuracySegmentsBranch
39.8%1x
66.7%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
39.8%1z
39.8%1y
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch63.0ms (1.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.24375924766440107
19534.97188112966
49.0ms
-17.58495345803639
-0.0004121407569104337
Results
52.0ms272×0valid
Compiler

Compiled 322 to 215 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (55.4% of total)
ival-mult: 2.0ms (37% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
19534.97188112966
72337371.1408142
10.0ms
-1.0123329449297114e-38
-5.561517253227919e-43
Results
13.0ms256×0valid
Compiler

Compiled 304 to 203 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (58.4% of total)
ival-mult: 2.0ms (38.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.24375924766440107
19534.97188112966
12.0ms
-1.0123329449297114e-38
-5.561517253227919e-43
Results
17.0ms272×0valid
Compiler

Compiled 254 to 181 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (54.8% of total)
ival-mult: 2.0ms (36.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch114.0ms (2.5%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
65.0ms
7.919728577526644e+148
1.0295541818854294e+151
10.0ms
19534.97188112966
72337371.1408142
24.0ms
-1.0123329449297114e-38
-5.561517253227919e-43
12.0ms
-1.4633626308739076e+116
-7.910481495376689e+108
Results
39.0ms512×0valid
Compiler

Compiled 432 to 315 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 17.0ms (71.2% of total)
ival-add: 6.0ms (25.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.24375924766440107
19534.97188112966
12.0ms
-17.58495345803639
-0.0004121407569104337
Results
15.0ms272×0valid
Compiler

Compiled 220 to 164 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (54.3% of total)
ival-mult: 2.0ms (36.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
051394
176394
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 z x))))
(if (<=.f64 y #s(literal -4290987514424489/3064991081731777716716694054300618367237478244367204352 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 38000 binary64)) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 z x))))
(if (<=.f64 y #s(literal -5746858278247083/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 2206763817411543/9007199254740992 binary64)) x (*.f64 y (+.f64 z x))))
(if (<=.f64 y #s(literal -59999999999999995807196081557826383708039989008338610955695381169883378996985483422571781521365526805463368204288 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -1915619426082361/191561942608236107294793378393788647952342390272950272 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 20000 binary64)) x (if (<=.f64 y #s(literal 80000000000000003918138126012041646365778160282459511099603389967213461087470780492898522339782117103449045174520822140964274633493006817368182095872 binary64)) (*.f64 y z) (*.f64 y x)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 1 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 -1 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 z x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y (+.f64 x z)) (+.f64 x (*.f64 y z)))
(if (<=.f64 y #s(literal -4290987514424489/3064991081731777716716694054300618367237478244367204352 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 38000 binary64)) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 z x))))
(if (or (<=.f64 y #s(literal -4290987514424489/3064991081731777716716694054300618367237478244367204352 binary64)) (not (<=.f64 y #s(literal 38000 binary64)))) (*.f64 y (+.f64 x z)) (+.f64 x (*.f64 x y)))
(if (<=.f64 y #s(literal -5746858278247083/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 2206763817411543/9007199254740992 binary64)) x (*.f64 y (+.f64 z x))))
(if (or (<=.f64 y #s(literal -5746858278247083/766247770432944429179173513575154591809369561091801088 binary64)) (not (<=.f64 y #s(literal 2206763817411543/9007199254740992 binary64)))) (*.f64 y (+.f64 x z)) x)
(if (<=.f64 y #s(literal -59999999999999995807196081557826383708039989008338610955695381169883378996985483422571781521365526805463368204288 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -1915619426082361/191561942608236107294793378393788647952342390272950272 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 20000 binary64)) x (if (<=.f64 y #s(literal 80000000000000003918138126012041646365778160282459511099603389967213461087470780492898522339782117103449045174520822140964274633493006817368182095872 binary64)) (*.f64 y z) (*.f64 y x)))))
(if (<=.f64 y #s(literal -59999999999999995807196081557826383708039989008338610955695381169883378996985483422571781521365526805463368204288 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -1915619426082361/191561942608236107294793378393788647952342390272950272 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 20000 binary64)) x (if (<=.f64 y #s(literal 80000000000000003918138126012041646365778160282459511099603389967213461087470780492898522339782117103449045174520822140964274633493006817368182095872 binary64)) (*.f64 y z) (*.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) x (*.f64 y x)))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 x y) x)
x

soundness299.0ms (6.5%)

Rules
692×fma-define
516×times-frac
464×associate-/l*
380×div-sub
330×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02754344
16304191
217254141
369304110
04598917
111198263
232678188
Stop Event
1×done
1×node limit
1×node limit
Compiler

Compiled 141 to 63 computations (55.3% saved)

preprocess41.0ms (0.9%)

Compiler

Compiled 232 to 100 computations (56.9% saved)

end0.0ms (0%)

Profiling

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