Linear.V2:$cdot from linear-1.19.1.3, A

Time bar (total: 3.7s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample1.2s (33.2%)

Results
936.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-mult: 147.0ms (75% of total)
ival-add: 38.0ms (19.4% of total)
ival-true: 7.0ms (3.6% of total)
ival-assert: 5.0ms (2.6% of total)
Bogosity

preprocess136.0ms (3.6%)

Algorithm
egg-herbie
Rules
226×fma-define
118×fmm-def
49×associate-*r*
49×unsub-neg
43×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045464
196464
2170464
3374464
4603464
5810464
6965464
7987464
8991464
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 z t))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) t))
(+.f64 (*.f64 x y) (*.f64 z (neg.f64 t)))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 z t)))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 z t)))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (neg.f64 z) t)))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 z (neg.f64 t))))
(+.f64 (*.f64 y x) (*.f64 z t))
(+.f64 (*.f64 z y) (*.f64 x t))
(+.f64 (*.f64 t y) (*.f64 z x))
(+.f64 (*.f64 x z) (*.f64 y t))
(+.f64 (*.f64 x t) (*.f64 z y))
(+.f64 (*.f64 x y) (*.f64 t z))
Outputs
(+.f64 (*.f64 x y) (*.f64 z t))
(fma.f64 x y (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 z t))
(fma.f64 x y (*.f64 z t))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 z t))
(fma.f64 x (neg.f64 y) (*.f64 z t))
(-.f64 (*.f64 z t) (*.f64 x y))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 z t))
(fma.f64 x (neg.f64 y) (*.f64 z t))
(-.f64 (*.f64 z t) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) t))
(fma.f64 x y (*.f64 z (neg.f64 t)))
(-.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 z (neg.f64 t)))
(fma.f64 x y (*.f64 z (neg.f64 t)))
(-.f64 (*.f64 x y) (*.f64 z t))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 z t)))
(fma.f64 x y (*.f64 z (neg.f64 t)))
(-.f64 (*.f64 x y) (*.f64 z t))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 z t)))
(fma.f64 x y (*.f64 z (neg.f64 t)))
(-.f64 (*.f64 x y) (*.f64 z t))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (neg.f64 z) t)))
(fma.f64 x (neg.f64 y) (*.f64 z t))
(-.f64 (*.f64 z t) (*.f64 x y))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 z (neg.f64 t))))
(fma.f64 x (neg.f64 y) (*.f64 z t))
(-.f64 (*.f64 z t) (*.f64 x y))
(+.f64 (*.f64 y x) (*.f64 z t))
(fma.f64 x y (*.f64 z t))
(+.f64 (*.f64 z y) (*.f64 x t))
(fma.f64 x t (*.f64 y z))
(+.f64 (*.f64 t y) (*.f64 z x))
(fma.f64 t y (*.f64 x z))
(fma.f64 y t (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 y t))
(fma.f64 t y (*.f64 x z))
(fma.f64 y t (*.f64 x z))
(+.f64 (*.f64 x t) (*.f64 z y))
(fma.f64 x t (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 t z))
(fma.f64 x y (*.f64 z t))
Symmetry

(sort x y)

(sort z t)

explain77.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(+.f64 (*.f64 x y) (*.f64 z t))
00-0-y
00-0-t
00-0-(*.f64 z t)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 z t))nan-rescue20
(*.f64 x y)overflow44
(*.f64 z t)overflow33
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-01253
Precision?
0.6666666666666666
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
34.0ms512×0valid
Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (74.3% of total)
ival-add: 2.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 x y (*.f64 z t))
99.2%
(+.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z t)
cost-diff0
(fma.f64 x y (*.f64 z t))
cost-diff-6272
(+.f64 (*.f64 x y) (*.f64 z t))
cost-diff0
(*.f64 z t)
cost-diff0
(*.f64 x y)
Rules
fma-define
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016125
119125
222125
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
(fma.f64 x y (*.f64 z t))
x
y
(*.f64 z t)
z
t
Outputs
(+.f64 (*.f64 x y) (*.f64 z t))
(fma.f64 x y (*.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
(fma.f64 x y (*.f64 z t))
x
y
(*.f64 z t)
z
t

localize32.0ms (0.9%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z t)
accuracy99.6%
(fma.f64 x y (*.f64 z t))
accuracy100.0%
(*.f64 z t)
accuracy100.0%
(*.f64 x y)
accuracy99.3%
(+.f64 (*.f64 x y) (*.f64 z t))
Results
22.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (48.2% of total)
ival-fma: 3.0ms (36.2% of total)
ival-add: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.3%)

Counts
4 → 120
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
#<alt (*.f64 z t)>
#<alt (+.f64 (*.f64 x y) (*.f64 z t))>
#<alt (fma.f64 x y (*.f64 z t))>
Outputs
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t 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 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t 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 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
Calls

36 calls:

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

rewrite221.0ms (5.9%)

Algorithm
batch-egg-rewrite
Rules
739×log1p-expm1-u
739×expm1-log1p-u
711×unpow-prod-down
396×log-prod
314×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01680
116280
2202880
Stop Event
node limit
Counts
4 → 187
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z t)
(+.f64 (*.f64 x y) (*.f64 z t))
(fma.f64 x y (*.f64 z t))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 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)))
(+.f64 #s(literal 0 binary64) (*.f64 z t))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z)) (cbrt.f64 (pow.f64 (exp.f64 t) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z t))) #s(literal 1 binary64))
(pow.f64 (*.f64 z t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z t)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 t) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))))
(cbrt.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z t)))
(log1p.f64 (expm1.f64 (*.f64 z t)))
(exp.f64 (log.f64 (*.f64 z t)))
(exp.f64 (*.f64 (log.f64 (*.f64 z t)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z t))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z t))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z t))) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z t) (*.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 t) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 t) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z t))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))

simplify179.0ms (4.8%)

Algorithm
egg-herbie
Rules
393×distribute-lft-in
376×prod-exp
343×*-commutative
340×distribute-rgt-in
338×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034510943
175810667
2225410599
3731210527
Stop Event
node limit
Counts
307 → 170
Calls
Call 1
Inputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
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(*.f64 t z)
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(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
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(*.f64 t z)
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(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z t))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z t))) #s(literal 1 binary64))
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(sqrt.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 t) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))))
(cbrt.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z t)))
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(exp.f64 (log.f64 (*.f64 z t)))
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(*.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
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(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 z t))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z t)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.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 z t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z t) (*.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 t) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 t) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z t))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 z t))
(fma.f64 y x (*.f64 z t))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 z t))
(fma.f64 z t (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 (*.f64 z t) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z t))
(fma.f64 #s(literal 1 binary64) (*.f64 z t) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 z t)) (pow.f64 (cbrt.f64 (*.f64 z t)) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z t)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z t)) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z t))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 z t))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 z t))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) t) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 z t))
(fma.f64 (sqrt.f64 (*.f64 z t)) (sqrt.f64 (*.f64 z t)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z t))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 z t))
(fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) z) (*.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) t) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z t))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z t))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z t))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z t))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z t))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 t)) (sqrt.f64 t) (*.f64 x y))
(fma.f64 (*.f64 t (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 t (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 z t) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (fma.f64 x y (*.f64 z t)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t)))) (cbrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z t))))
(*.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(*.f64 (fma.f64 x y (*.f64 z t)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z t)))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) (sqrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.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 z t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z t))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z t))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y (*.f64 z t)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x y (*.f64 z t)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x y (*.f64 z t)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 z t))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z t)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.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 z t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z t) (*.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 t) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 t) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z t))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
Outputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.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 t z) x)))))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.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 t z) x)))))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t)))) (cbrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 t z (*.f64 x y)))) (cbrt.f64 (exp.f64 (fma.f64 t z (*.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 t z (*.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 t z (*.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1 binary64))
(fma.f64 t z (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(*.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(fma.f64 t z (*.f64 x y))
(*.f64 (fma.f64 x y (*.f64 z t)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 t z (*.f64 x y))
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(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y))) (cbrt.f64 (pow.f64 (fma.f64 t z (*.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 t z (*.f64 x y)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) (sqrt.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(*.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.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 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z t))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y))) (cbrt.f64 (pow.f64 (fma.f64 t z (*.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y (*.f64 z t)))
(fma.f64 t z (*.f64 x y))
(*.f64 (pow.f64 (*.f64 (fma.f64 x y (*.f64 z t)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x y (*.f64 z t)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(fma.f64 t z (*.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 t z (*.f64 x y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 t z (*.f64 x y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (*.f64 x y)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y))) #s(literal 7 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 x y))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 t z (*.f64 x y)))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 t z (*.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 t z (*.f64 x y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 t z (*.f64 x y)))) (cbrt.f64 (*.f64 (fma.f64 t z (*.f64 x y)) (pow.f64 (sqrt.f64 (fma.f64 t z (*.f64 x y))) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 t z (*.f64 x y)))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 t z (*.f64 x y))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 z t))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z t)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x (neg.f64 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 z t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z t) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 3 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z t)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 t) z)))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (pow.f64 (exp.f64 t) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (pow.f64 (exp.f64 y) x)))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(fma.f64 t z (*.f64 x y))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1 binary64)))
(fma.f64 t z (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(fma.f64 t z (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))

eval22.0ms (0.6%)

Compiler

Compiled 2670 to 513 computations (80.8% saved)

prune31.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1912193
Fresh000
Picked112
Done000
Total1923195
Accuracy
100.0%
Counts
195 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(+.f64 (*.f64 x y) (*.f64 z t))
55.9%
(*.f64 x y)
86.5%
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify194.0ms (5.2%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff-6272
(+.f64 z (*.f64 x (/.f64 y t)))
cost-diff-6144
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
cost-diff0
(/.f64 y t)
cost-diff0
(*.f64 x (/.f64 y t))
Rules
1071×cube-prod
705×cube-div
637×times-frac
625×associate-/l/
474×pow-sqr
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016143
127135
251135
378132
496126
5117126
6211126
7490126
82235126
92916126
103407126
113676126
123915126
134305126
145540126
156182126
166999126
177409126
187727126
197962126
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
t
(+.f64 z (*.f64 x (/.f64 y t)))
z
(*.f64 x (/.f64 y t))
x
(/.f64 y t)
y
(*.f64 x y)
x
y
Outputs
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (fma.f64 x (/.f64 y t) z))
(fma.f64 t z (*.f64 x (*.f64 y #s(literal 1 binary64))))
(fma.f64 t z (*.f64 x y))
t
(+.f64 z (*.f64 x (/.f64 y t)))
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
z
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
x
(/.f64 y t)
y
(*.f64 x y)
x
y

localize33.0ms (0.9%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(/.f64 y t)
accuracy100.0%
(+.f64 z (*.f64 x (/.f64 y t)))
accuracy92.4%
(*.f64 x (/.f64 y t))
accuracy91.8%
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
Results
22.0ms256×0valid
Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (55.2% of total)
ival-div: 2.0ms (22.1% of total)
ival-add: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.4%)

Counts
4 → 132
Calls
Call 1
Inputs
#<alt (*.f64 x (/.f64 y t))>
#<alt (/.f64 y t)>
#<alt (*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))>
#<alt (+.f64 z (*.f64 x (/.f64 y t)))>
Outputs
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t 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 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt z>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)>
#<alt (/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)>
#<alt (/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)>
#<alt z>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt z>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
t
@0
(* t (+ z (* x (/ y t))))
1.0ms
t
@-inf
(* t (+ z (* x (/ y t))))
0.0ms
t
@inf
(* x (/ y t))
0.0ms
x
@0
(* x (/ y t))
0.0ms
t
@0
(* x (/ y t))

rewrite128.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
1030×log1p-expm1-u
1030×expm1-log1p-u
533×log-prod
290×fma-define
170×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015106
119098
2277198
Stop Event
node limit
Counts
4 → 187
Calls
Call 1
Inputs
(*.f64 x (/.f64 y t))
(/.f64 y t)
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
(+.f64 z (*.f64 x (/.f64 y t)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y t)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y t))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y t)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y t)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y t)))) #s(literal 1 binary64))
(/.f64 x (/.f64 t y))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 x y)))
(/.f64 (*.f64 x y) t)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 t))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 t))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) t)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 t)) (sqrt.f64 t))
(pow.f64 (*.f64 x (/.f64 y t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y t)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y t))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y t))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y t))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y t))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y t))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y t))) (cbrt.f64 (exp.f64 (/.f64 y t))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y t)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y t)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y t))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 y t) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y t))
(*.f64 (cbrt.f64 (/.f64 y t)) (pow.f64 (cbrt.f64 (/.f64 y t)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y t)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y t)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) t))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (sqrt.f64 (/.f64 y t)) (sqrt.f64 (/.f64 y t)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) t))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 t)) (/.f64 (cbrt.f64 y) (sqrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) t))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 t)))
(pow.f64 (/.f64 y t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y t)) #s(literal 2 binary64))
(pow.f64 (/.f64 t y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 t)))
(neg.f64 (/.f64 (neg.f64 y) t))
(sqrt.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y t))))
(cbrt.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y t)))
(log1p.f64 (expm1.f64 (/.f64 y t)))
(exp.f64 (log.f64 (/.f64 y t)))
(exp.f64 (*.f64 (log.f64 (/.f64 y t)) #s(literal 1 binary64)))
(+.f64 (*.f64 t z) (*.f64 t (*.f64 x (/.f64 y t))))
(+.f64 (*.f64 t (*.f64 x (/.f64 y t))) (*.f64 t z))
(+.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 x (/.f64 y t) z)))
(+.f64 (*.f64 (*.f64 t z) #s(literal 1 binary64)) (*.f64 (*.f64 t (*.f64 x (/.f64 y t))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (fma.f64 x (/.f64 y t) z))) (cbrt.f64 (pow.f64 (exp.f64 t) (fma.f64 x (/.f64 y t) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (fma.f64 x (/.f64 y t) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (fma.f64 x (/.f64 y t) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (fma.f64 x (/.f64 y t) z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t (fma.f64 x (/.f64 y t) z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 t (*.f64 x (/.f64 y t))) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (*.f64 t z) (-.f64 (*.f64 (*.f64 t (*.f64 x (/.f64 y t))) (*.f64 t (*.f64 x (/.f64 y t)))) (*.f64 (*.f64 t z) (*.f64 t (*.f64 x (/.f64 y t)))))))
(/.f64 (-.f64 (*.f64 (*.f64 t z) (*.f64 t z)) (*.f64 (*.f64 t (*.f64 x (/.f64 y t))) (*.f64 t (*.f64 x (/.f64 y t))))) (-.f64 (*.f64 t z) (*.f64 t (*.f64 x (/.f64 y t)))))
(/.f64 (*.f64 t (+.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x (/.f64 y t)) (-.f64 (*.f64 x (/.f64 y t)) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 t (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 2 binary64)))) (-.f64 z (*.f64 x (/.f64 y t))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) t) (fma.f64 (*.f64 x (/.f64 y t)) (-.f64 (*.f64 x (/.f64 y t)) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 2 binary64))) t) (-.f64 z (*.f64 x (/.f64 y t))))
(pow.f64 (*.f64 t (fma.f64 x (/.f64 y t) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t (fma.f64 x (/.f64 y t) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t (fma.f64 x (/.f64 y t) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 t (fma.f64 x (/.f64 y t) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 t (fma.f64 x (/.f64 y t) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 t) (fma.f64 x (/.f64 y t) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (fma.f64 x (/.f64 y t) z)))))
(log.f64 (*.f64 (exp.f64 (*.f64 t (*.f64 x (/.f64 y t)))) (exp.f64 (*.f64 t z))))
(cbrt.f64 (pow.f64 (*.f64 t (fma.f64 x (/.f64 y t) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 x (/.f64 y t) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (/.f64 y t) z) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 t (fma.f64 x (/.f64 y t) z))))
(log1p.f64 (expm1.f64 (*.f64 t (fma.f64 x (/.f64 y t) z))))
(exp.f64 (log.f64 (*.f64 t (fma.f64 x (/.f64 y t) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 t (fma.f64 x (/.f64 y t) z))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (/.f64 y t) t) (*.f64 t z))
(fma.f64 t (*.f64 x (/.f64 y t)) (*.f64 t z))
(fma.f64 t z (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (/.f64 y t) (*.f64 x t) (*.f64 t z))
(fma.f64 (*.f64 x (/.f64 y t)) t (*.f64 t z))
(fma.f64 z t (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 #s(literal 1 binary64) (*.f64 t z) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 #s(literal 1 binary64) (*.f64 t (*.f64 x (/.f64 y t))) (*.f64 t z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) t) (*.f64 t z))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (*.f64 x (/.f64 y t))) (*.f64 t z))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) z) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) t) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 y t))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 y t))) t) (*.f64 t z))
(fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 y t))) (*.f64 t z))
(fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) z) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) t) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (*.f64 t z) #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 x (/.f64 y t))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 t (*.f64 x (/.f64 y t)))) (cbrt.f64 (*.f64 t (*.f64 x (/.f64 y t))))) (cbrt.f64 (*.f64 t (*.f64 x (/.f64 y t)))) (*.f64 t z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 t z)) (cbrt.f64 (*.f64 t z))) (cbrt.f64 (*.f64 t z)) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (sqrt.f64 (*.f64 t (*.f64 x (/.f64 y t)))) (sqrt.f64 (*.f64 t (*.f64 x (/.f64 y t)))) (*.f64 t z))
(fma.f64 (sqrt.f64 (*.f64 t z)) (sqrt.f64 (*.f64 t z)) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (/.f64 y t))) (sqrt.f64 t)) (*.f64 (sqrt.f64 (*.f64 x (/.f64 y t))) (sqrt.f64 t)) (*.f64 t z))
(fma.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 (*.f64 x (/.f64 y t)))) (*.f64 (sqrt.f64 t) (sqrt.f64 (*.f64 x (/.f64 y t)))) (*.f64 t z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 t)) (*.f64 (sqrt.f64 z) (sqrt.f64 t)) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 z)) (*.f64 (sqrt.f64 t) (sqrt.f64 z)) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (*.f64 (*.f64 x (/.f64 y t)) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t) (*.f64 t z))
(fma.f64 (*.f64 (*.f64 x (/.f64 y t)) (sqrt.f64 t)) (sqrt.f64 t) (*.f64 t z))
(fma.f64 (*.f64 t x) (/.f64 y t) (*.f64 t z))
(fma.f64 (*.f64 t (/.f64 y t)) x (*.f64 t z))
(fma.f64 (*.f64 t (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y t))) (*.f64 t z))
(fma.f64 (*.f64 t (sqrt.f64 (*.f64 x (/.f64 y t)))) (sqrt.f64 (*.f64 x (/.f64 y t))) (*.f64 t z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (*.f64 z (sqrt.f64 t)) (sqrt.f64 t) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (*.f64 t (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 t (*.f64 x (/.f64 y t))))
(fma.f64 (*.f64 t (sqrt.f64 z)) (sqrt.f64 z) (*.f64 t (*.f64 x (/.f64 y t))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y t) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (*.f64 x (/.f64 y t)))) (/.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 2 binary64)) (-.f64 z (*.f64 x (/.f64 y t)))))
(*.f64 (fma.f64 x (/.f64 y t) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y t) z))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y t) z)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y t) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y t) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y t) z)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y t) z)) (sqrt.f64 (fma.f64 x (/.f64 y t) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (/.f64 y t)) (-.f64 (*.f64 x (/.f64 y t)) z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x (/.f64 y t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 y t)) (-.f64 (*.f64 x (/.f64 y t)) z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 x (/.f64 y t))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 y t)) (-.f64 (*.f64 x (/.f64 y t)) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 y t)) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 2 binary64))) (-.f64 z (*.f64 x (/.f64 y t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (/.f64 y t)) (-.f64 (*.f64 x (/.f64 y t)) z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 x (/.f64 y t)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y t)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 y t)) z))
(pow.f64 (fma.f64 x (/.f64 y t) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y t) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y t) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y t) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y t) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y t) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y t) z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 y t)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y t)))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y t)))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y t))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) (/.f64 y t))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y t))))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y t) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y t) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y t) z)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y t) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y t) z)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y t) z)
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) x) z)
(fma.f64 (/.f64 y t) x z)
(fma.f64 (*.f64 x (/.f64 y t)) #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x (/.f64 y t)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y t)) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y t)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y t)) x) z)
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y t))) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y t)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x (/.f64 y t)))
(fma.f64 (sqrt.f64 (/.f64 y t)) (*.f64 (sqrt.f64 (/.f64 y t)) x) z)
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 y t))) (sqrt.f64 (*.f64 x (/.f64 y t))) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y t)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (/.f64 y t)))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) t) z)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y t) z)
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 t)) z)
(fma.f64 (/.f64 x (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 y t)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y t)) z)
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 y t))) (sqrt.f64 (/.f64 y t)) z)
(fma.f64 (*.f64 (/.f64 y t) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 (/.f64 y t) (sqrt.f64 x)) (sqrt.f64 x) z)

simplify455.0ms (12.1%)

Algorithm
egg-herbie
Rules
411×distribute-lft-neg-in
382×distribute-rgt-neg-in
351×fmm-def
302×associate-*r*
256×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04739797
111459632
238339536
Stop Event
node limit
Counts
319 → 247
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(/.f64 (*.f64 x y) t)
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 t z)
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 t z)
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 t 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 t z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(/.f64 (*.f64 x y) t)
(+.f64 z (/.f64 (*.f64 x y) t))
(+.f64 z (/.f64 (*.f64 x y) t))
(+.f64 z (/.f64 (*.f64 x y) t))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
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(pow.f64 (pow.f64 (fma.f64 x (/.f64 y t) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y t) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y t) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y t) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y t) z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 y t)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y t)))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y t)))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y t))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) (/.f64 y t))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y t))))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y t) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y t) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y t) z)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y t) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y t) z)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y t) z)
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) x) z)
(fma.f64 (/.f64 y t) x z)
(fma.f64 (*.f64 x (/.f64 y t)) #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x (/.f64 y t)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y t)) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y t)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y t)) x) z)
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y t))) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y t)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x (/.f64 y t)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x (/.f64 y t)))
(fma.f64 (sqrt.f64 (/.f64 y t)) (*.f64 (sqrt.f64 (/.f64 y t)) x) z)
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 y t))) (sqrt.f64 (*.f64 x (/.f64 y t))) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y t)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (/.f64 y t)))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) t) z)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y t) z)
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 t)) z)
(fma.f64 (/.f64 x (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 y t)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y t)) z)
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 y t))) (sqrt.f64 (/.f64 y t)) z)
(fma.f64 (*.f64 (/.f64 y t) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 (/.f64 y t) (sqrt.f64 x)) (sqrt.f64 x) z)
Outputs
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 t z)
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 t z)
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (fma.f64 t (/.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 t z) x)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (fma.f64 t (/.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 t z) x)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 t z)))))
(*.f64 z (fma.f64 x (/.f64 y (*.f64 t z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 x (/.f64 (/.f64 y z) t) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 t z)))))
(*.f64 z (fma.f64 x (/.f64 y (*.f64 t z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 x (/.f64 (/.f64 y z) t) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 t z)))))
(*.f64 z (fma.f64 x (/.f64 y (*.f64 t z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 x (/.f64 (/.f64 y z) t) #s(literal 1 binary64)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 t z)))))
(*.f64 z (fma.f64 x (/.f64 y (*.f64 t z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 x (/.f64 (/.f64 y z) t) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 t z)))))
(*.f64 z (fma.f64 x (/.f64 y (*.f64 t z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 x (/.f64 (/.f64 y z) t) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 t z)))))
(*.f64 z (fma.f64 x (/.f64 y (*.f64 t z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 x (/.f64 (/.f64 y z) t) #s(literal 1 binary64)))
z
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
z
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)
(/.f64 (fma.f64 t z (*.f64 x y)) t)
(/.f64 (fma.f64 x y (*.f64 t z)) t)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)
(/.f64 (fma.f64 t z (*.f64 x y)) t)
(/.f64 (fma.f64 x y (*.f64 t z)) t)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)
(/.f64 (fma.f64 t z (*.f64 x y)) t)
(/.f64 (fma.f64 x y (*.f64 t z)) t)
z
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
(+.f64 z (/.f64 (*.f64 x y) t))
(fma.f64 x (/.f64 y t) z)
z
(+.f64 z (/.f64 (*.f64 x y) t))
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(fma.f64 (*.f64 x (sqrt.f64 (/.f64 y t))) (sqrt.f64 (/.f64 y t)) z)
(fma.f64 x (/.f64 y t) z)
(fma.f64 (*.f64 (/.f64 y t) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 x (/.f64 y t) z)
(fma.f64 (*.f64 (/.f64 y t) (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 x (/.f64 y t) z)

eval130.0ms (3.5%)

Compiler

Compiled 3918 to 876 computations (77.6% saved)

prune182.0ms (4.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2691270
Fresh000
Picked112
Done011
Total2703273
Accuracy
100.0%
Counts
273 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(+.f64 (*.f64 x y) (*.f64 z t))
55.9%
(*.f64 x y)
48.2%
(*.f64 t z)
Compiler

Compiled 25 to 17 computations (32% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize16.0ms (0.4%)

Localize:

Found 1 expressions of interest:

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

Compiled 7 to 7 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (76.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

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

6 calls:

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

rewrite59.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
16513
270613
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 t z)
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 t z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (*.f64 #s(literal 2 binary64) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) (+.f64 #s(literal 1 binary64) (*.f64 t z))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) (+.f64 #s(literal 1 binary64) (*.f64 t z))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 t z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 t z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 t z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 t z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 t z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 t z)))) (sqrt.f64 (log.f64 (*.f64 t z))))
(sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 t z))
(log.f64 (pow.f64 (exp.f64 t) z))
(cbrt.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 t z)))
(log1p.f64 (expm1.f64 (*.f64 t z)))
(exp.f64 (log.f64 (*.f64 t z)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 t z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 t z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 t z))) #s(literal 2 binary64)))

simplify69.0ms (1.8%)

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

Useful iterations: 2 (0.0ms)

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

eval4.0ms (0.1%)

Compiler

Compiled 347 to 103 computations (70.3% saved)

prune8.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New33033
Fresh000
Picked011
Done022
Total33336
Accuracy
100.0%
Counts
36 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(+.f64 (*.f64 x y) (*.f64 z t))
55.9%
(*.f64 x y)
48.2%
(*.f64 t z)
Compiler

Compiled 57 to 30 computations (47.4% saved)

regimes18.0ms (0.5%)

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

7 calls:

4.0ms
z
2.0ms
(*.f64 z t)
2.0ms
y
2.0ms
t
2.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%1(+.f64 (*.f64 x y) (*.f64 z t))
99.6%1(*.f64 x y)
99.6%1(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes18.0ms (0.5%)

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

7 calls:

5.0ms
x
2.0ms
y
2.0ms
t
2.0ms
z
2.0ms
(*.f64 z t)
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%1(+.f64 (*.f64 x y) (*.f64 z t))
99.2%1(*.f64 x y)
99.2%1(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes8.0ms (0.2%)

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

5 calls:

2.0ms
y
2.0ms
t
2.0ms
x
2.0ms
z
2.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
73.1%3x
72.3%3y
75.3%3z
78.7%3t
77.6%3(*.f64 x y)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 t z)
Outputs
(*.f64 t z)
Calls

4 calls:

1.0ms
y
1.0ms
x
1.0ms
t
1.0ms
z
Results
AccuracySegmentsBranch
48.2%1y
48.2%1x
48.2%1z
48.2%1t
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch106.0ms (2.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
9.486644795417441e+61
2.189933741776609e+66
92.0ms
-1.8066025897951057e-173
-1.9381336273423007e-181
Results
92.0ms272×0valid
Compiler

Compiled 286 to 218 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (68.9% of total)
ival-add: 1.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026128
136128
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x y (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 z t))
(if (<=.f64 t #s(literal -5012446967602509/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (*.f64 t z) (if (<=.f64 t #s(literal 89999999999999994611329524196381127488689044832701746930027331584 binary64)) (*.f64 x y) (*.f64 t z)))
(*.f64 t z)
Outputs
(fma.f64 x y (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 z t) (*.f64 x y))
(if (<=.f64 t #s(literal -5012446967602509/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (*.f64 t z) (if (<=.f64 t #s(literal 89999999999999994611329524196381127488689044832701746930027331584 binary64)) (*.f64 x y) (*.f64 t z)))
(if (or (<=.f64 t #s(literal -5012446967602509/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (not (<=.f64 t #s(literal 89999999999999994611329524196381127488689044832701746930027331584 binary64)))) (*.f64 z t) (*.f64 x y))
(*.f64 t z)
(*.f64 z t)

soundness283.0ms (7.6%)

Rules
393×distribute-lft-in
376×prod-exp
343×*-commutative
340×distribute-rgt-in
338×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045464
196464
2170464
3374464
4603464
5810464
6965464
7987464
8991464
034510943
175810667
2225410599
3731210527
Stop Event
done
node limit
saturated
Compiler

Compiled 74 to 35 computations (52.7% saved)

preprocess39.0ms (1%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 252 to 140 computations (44.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...