Optimisation.CirclePacking:place from circle-packing-0.1.0.4, H

Time bar (total: 7.0s)

analyze0.0ms (0%)

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

Compiled 9 to 9 computations (0% saved)

sample911.0ms (13%)

Samples
394.0ms8 254×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-add: 54.0ms (33.1% of total)
ival-mult: 54.0ms (33.1% of total)
ival-sub: 42.0ms (25.7% of total)
ival-true: 6.0ms (3.7% of total)
ival-assert: 4.0ms (2.5% of total)
...in/eval/compile.rkt:70:19: 3.0ms (1.8% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess312.0ms (4.4%)

Algorithm
egg-herbie
Rules
3 057×fmm-def
586×unsub-neg
457×sub-neg
415×fma-define
333×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034328
179312
2246308
3932308
43194308
55683308
66648308
76902308
86954308
96977308
106980308
117043308
127051308
137051308
147051308
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (neg.f64 z)))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) z)))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) z)))
(neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (neg.f64 z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 z y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x z) (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 y x))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) z))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 y x))
(neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (neg.f64 z))))
(*.f64 (+.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 z))))
(*.f64 (+.f64 x y) (+.f64 #s(literal -1 binary64) (neg.f64 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) z))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 z y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 y z) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x z) (-.f64 #s(literal 1 binary64) y))
Symmetry

(sort x y)

explain76.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
00-0-y
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
38.0ms512×0valid
Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 8.0ms (51.8% of total)
ival-sub: 3.0ms (19.4% of total)
ival-mult: 3.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify84.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Rules
673×fmm-def
459×fma-define
151×associate-+l-
135×distribute-lft-in
131×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01364
12364
24164
39464
426964
571964
6125064
7203664
8253464
9285664
10289164
11289164
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z

localize22.0ms (0.3%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(+.f64 x y)
accuracy99.9%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Samples
15.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (41.1% of total)
ival-mult: 2.0ms (41.1% of total)
ival-sub: 1.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series122.0ms (1.7%)

Counts
3 → 66
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 x y)>
#<alt (-.f64 #s(literal 1 binary64) z)>
Outputs
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
Calls

18 calls:

TimeVariablePointExpression
114.0ms
x
@inf
(+ x y)
1.0ms
x
@-inf
(* (+ x y) (- 1 z))
1.0ms
x
@inf
(* (+ x y) (- 1 z))
1.0ms
z
@0
(* (+ x y) (- 1 z))
0.0ms
x
@0
(* (+ x y) (- 1 z))

rewrite425.0ms (6.1%)

Algorithm
batch-egg-rewrite
Rules
785×log1p-expm1-u
785×expm1-log1p-u
587×prod-diff
353×log-prod
238×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01351
115351
2204651
Stop Event
node limit
Counts
3 → 159
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
(-.f64 #s(literal 1 binary64) z)
Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(+.f64 (+.f64 x y) (*.f64 (neg.f64 z) (+.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 x y) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) z)) (-.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 x y)) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))) #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (neg.f64 z) (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(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))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 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 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 #s(literal 1 binary64) (neg.f64 z))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))
(+.f64 (neg.f64 z) #s(literal 1 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 #s(literal 1 binary64) (neg.f64 z)))
(pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) z)))
(exp.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 z))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))

simplify108.0ms (1.5%)

Algorithm
egg-herbie
Rules
382×associate-/l*
360×associate-/r*
304×associate-+r+
291×associate-+l+
200×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04056912
19706714
232826624
Stop Event
node limit
Counts
225 → 230
Calls
Call 1
Inputs
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(+.f64 x y)
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) z)))
(exp.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 z))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
Outputs
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y)) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(+.f64 x y)
(+.f64 y x)
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(neg.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (neg.f64 (+.f64 y x)))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (+.f64 y x) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (+.f64 y x)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (+.f64 y x))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (+.f64 y x) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (+.f64 y x)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (+.f64 y x))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (+.f64 y x) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (+.f64 y x)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) (+.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(neg.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (neg.f64 (+.f64 y x)))
(*.f64 z (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 (neg.f64 z) (+.f64 (+.f64 y x) (/.f64 (neg.f64 (+.f64 y x)) z)))
(*.f64 z (neg.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 y x) z)))))
(*.f64 z (neg.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 (neg.f64 z) (+.f64 (+.f64 y x) (/.f64 (neg.f64 (+.f64 y x)) z)))
(*.f64 z (neg.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 y x) z)))))
(*.f64 z (neg.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 (neg.f64 z) (+.f64 (+.f64 y x) (/.f64 (neg.f64 (+.f64 y x)) z)))
(*.f64 z (neg.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 y x) z)))))
(*.f64 z (neg.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) z)
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (+.f64 x y) (*.f64 (neg.f64 z) (+.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 y x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)))) (cbrt.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 x y)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y x)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 y x)
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 y x)
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(+.f64 y x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(+.f64 y x)
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 y x)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 y x)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(+.f64 y x)
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(+.f64 y x)
(fma.f64 x #s(literal 1 binary64) y)
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 y x)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)
(+.f64 #s(literal 1 binary64) (neg.f64 z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 (neg.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) z)
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) z)
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) z)
(pow.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) z))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) z)
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) z)
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) z)
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (log1p.f64 (neg.f64 z)))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 z))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 z))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)

eval32.0ms (0.5%)

Compiler

Compiled 3 140 to 619 computations (80.3% saved)

prune38.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2246230
Fresh000
Picked011
Done000
Total2247231
Accuracy
100.0%
Counts
231 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
97.2%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
48.5%
(+.f64 y x)
50.7%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
99.9%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
51.7%
(*.f64 (+.f64 x y) (neg.f64 z))
53.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Compiler

Compiled 126 to 81 computations (35.7% saved)

simplify98.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (neg.f64 z))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) z))
cost-diff0
(+.f64 y x)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (+.f64 x y) (neg.f64 z))
cost-diff0
(+.f64 x y)
cost-diff192
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
Rules
781×fma-define
654×fmm-def
131×sub-neg
117×cancel-sign-sub-inv
107×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019259
136243
279243
3229243
4635243
51109243
62070243
72750243
82948243
92952243
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(+.f64 x y)
x
y
(*.f64 (+.f64 x y) (neg.f64 z))
(neg.f64 z)
z
(+.f64 y x)
y
x
(*.f64 y (-.f64 #s(literal 1 binary64) z))
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(*.f64 (+.f64 x y) (neg.f64 z))
(+.f64 x y)
x
y
(neg.f64 z)
z
Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
x
y
(*.f64 (+.f64 x y) (neg.f64 z))
(neg.f64 z)
z
(+.f64 y x)
(+.f64 x y)
y
x
(*.f64 y (-.f64 #s(literal 1 binary64) z))
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(*.f64 (+.f64 x y) (neg.f64 z))
(+.f64 x y)
x
y
(neg.f64 z)
z

localize123.0ms (1.7%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(*.f64 (+.f64 x y) (neg.f64 z))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
accuracy100.0%
(*.f64 (+.f64 x y) (neg.f64 z))
Samples
105.0ms256×0valid
Compiler

Compiled 67 to 14 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 76.0ms (91.3% of total)
ival-add: 4.0ms (4.8% of total)
ival-sub: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
6 → 144
Calls
Call 1
Inputs
#<alt (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))>
#<alt (*.f64 (+.f64 x y) (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (+.f64 y x)>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) z) x)>
Outputs
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (/.f64 y x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (/.f64 y x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z))) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z))) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z))) x))) #s(literal 1 binary64))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y))) #s(literal 1 binary64))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 (/.f64 x z) (/.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
Calls

39 calls:

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

rewrite174.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
817×log1p-expm1-u
817×expm1-log1p-u
610×fma-define
294×fmm-def
196×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019129
1276105
24057105
Stop Event
node limit
Counts
6 → 306
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (+.f64 x y) (neg.f64 z))
(neg.f64 z)
(+.f64 y x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
Outputs
(-.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) z))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)) (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #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 #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) (sqrt.f64 (*.f64 (+.f64 x y) z))))
(fma.f64 (neg.f64 (+.f64 x y)) z (+.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) z y)) (cbrt.f64 (fma.f64 (+.f64 x y) z y))) (cbrt.f64 (fma.f64 (+.f64 x y) z y)) x)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z y)) (sqrt.f64 (fma.f64 (+.f64 x y) z y)) x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) z))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) z))) (fma.f64 z (+.f64 x y) (*.f64 (+.f64 x y) z)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) z))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) z)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) z))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) (sqrt.f64 (*.f64 (+.f64 x y) z)) (*.f64 (+.f64 x y) z)))
(fma.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)) z (+.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (+.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (+.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 z x) (*.f64 z y))
(+.f64 (*.f64 z y) (*.f64 z x))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(pow.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(neg.f64 (*.f64 (+.f64 x y) z))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))
(+.f64 #s(literal 0 binary64) z)
(-.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) z)
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y (*.f64 y z))
(+.f64 y (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 z #s(literal 1 binary64)))
(pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y #s(literal 1 binary64) (*.f64 z y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y z))
(fma.f64 #s(literal 1 binary64) y (*.f64 z y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 z y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 z y))
(+.f64 x (*.f64 x z))
(+.f64 x (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 z #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x z))
(fma.f64 x #s(literal 1 binary64) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x z))
(fma.f64 #s(literal 1 binary64) x (*.f64 z x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))

simplify491.0ms (7%)

Algorithm
egg-herbie
Rules
624×fmm-def
350×associate-*l*
306×associate-*r*
298×fma-define
284×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062716796
1145914970
2567514774
Stop Event
node limit
Counts
450 → 456
Calls
Call 1
Inputs
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
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(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))
(+.f64 #s(literal 0 binary64) z)
(-.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) z)
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 (+.f64 z #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y (*.f64 y z))
(+.f64 y (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 z #s(literal 1 binary64)))
(pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y #s(literal 1 binary64) (*.f64 z y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y z))
(fma.f64 #s(literal 1 binary64) y (*.f64 z y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 z y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 z y))
(+.f64 x (*.f64 x z))
(+.f64 x (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 z #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x z))
(fma.f64 x #s(literal 1 binary64) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x z))
(fma.f64 #s(literal 1 binary64) x (*.f64 z x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))
Outputs
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 y (*.f64 (neg.f64 y) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (/.f64 y x)))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) z) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (/.f64 y x)))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) z) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (/.f64 y x)))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) z) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z))) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 z (-.f64 (neg.f64 (/.f64 (+.f64 y (*.f64 (neg.f64 y) z)) x)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 z (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z))) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 z (-.f64 (neg.f64 (/.f64 (+.f64 y (*.f64 (neg.f64 y) z)) x)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 z (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z))) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 z (-.f64 (neg.f64 (/.f64 (+.f64 y (*.f64 (neg.f64 y) z)) x)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 z (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x))) (neg.f64 x))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(+.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
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(+.f64 y x)
(fma.f64 x #s(literal 1 binary64) y)
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 y x)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(+.f64 y (*.f64 z y))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z #s(literal 1 binary64)))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 z #s(literal 1 binary64))))
(*.f64 y (/.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 z #s(literal 1 binary64)))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 z #s(literal 1 binary64))))
(*.f64 y (/.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))))
(pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(pow.f64 (pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(log.f64 (pow.f64 (exp.f64 y) (+.f64 z #s(literal 1 binary64))))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))))))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 y z y)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 z #s(literal 1 binary64)))))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 y)))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y z))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 y #s(literal 1 binary64) (*.f64 z y))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y z))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 #s(literal 1 binary64) y (*.f64 z y))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y z))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 z y))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y z))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 z y))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y z))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 z y))
(*.f64 y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y z y)
(+.f64 x (*.f64 x z))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(+.f64 x (*.f64 z x))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 z x x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 x (+.f64 z #s(literal 1 binary64))))
(*.f64 x (/.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 x (+.f64 z #s(literal 1 binary64))))
(*.f64 x (/.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))))
(pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 z #s(literal 1 binary64))))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))))))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 z x x)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(exp.f64 (+.f64 (log1p.f64 z) (log.f64 x)))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x z))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 z x))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x z))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z x))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x z))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 z x))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x z))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z x))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x z))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z x x)

eval130.0ms (1.9%)

Compiler

Compiled 11 678 to 1 441 computations (87.7% saved)

prune354.0ms (5%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New8418849
Fresh011
Picked145
Done011
Total84214856
Accuracy
100.0%
Counts
856 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(+.f64 (+.f64 x y) (*.f64 (neg.f64 x) z))
97.2%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
53.0%
(+.f64 y (*.f64 (neg.f64 y) z))
48.5%
(+.f64 y x)
50.7%
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
50.7%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
99.9%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
51.7%
(*.f64 (+.f64 x y) (neg.f64 z))
50.6%
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 z))
27.8%
(*.f64 (neg.f64 z) x)
28.5%
(*.f64 (neg.f64 y) z)
53.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
26.5%
y
24.2%
x
Compiler

Compiled 199 to 135 computations (32.2% saved)

simplify98.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff-6208
(+.f64 (+.f64 x y) (*.f64 (neg.f64 x) z))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff0
(+.f64 x y)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff64
(+.f64 y (*.f64 (neg.f64 y) z))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
cost-diff256
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Rules
974×fma-define
620×fmm-def
135×cancel-sign-sub-inv
105×sub-neg
96×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022263
152259
2100256
3188252
4431252
51106252
62167252
72848252
82989252
92996252
102996252
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
x
x
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(+.f64 y (*.f64 (neg.f64 y) z))
y
(*.f64 (neg.f64 y) z)
(neg.f64 y)
z
(+.f64 (+.f64 x y) (*.f64 (neg.f64 x) z))
(+.f64 x y)
x
y
(*.f64 (neg.f64 x) z)
(neg.f64 x)
z
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
x
x
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(neg.f64 y)
y
z
(+.f64 y (*.f64 (neg.f64 y) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
y
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(neg.f64 y)
z
(+.f64 (+.f64 x y) (*.f64 (neg.f64 x) z))
(+.f64 x (+.f64 y (*.f64 z (neg.f64 x))))
(+.f64 x (-.f64 y (*.f64 z x)))
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x y)
(+.f64 x y)
(+.f64 y x)
x
y
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(neg.f64 x)
z

localize63.0ms (0.9%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (neg.f64 x) z)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(+.f64 (+.f64 x y) (*.f64 (neg.f64 x) z))
accuracy100.0%
(*.f64 (neg.f64 y) z)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(+.f64 y (*.f64 (neg.f64 y) z))
accuracy100.0%
(*.f64 (neg.f64 y) z)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy97.6%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Samples
44.0ms256×0valid
Compiler

Compiled 73 to 17 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (46.1% of total)
ival-add: 4.0ms (26.4% of total)
ival-sub: 2.0ms (13.2% of total)
ival-neg: 2.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
8 → 192
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) z) y)>
#<alt (*.f64 (neg.f64 y) z)>
#<alt (neg.f64 y)>
#<alt (+.f64 y (*.f64 (neg.f64 y) z))>
#<alt (*.f64 (neg.f64 x) z)>
#<alt (neg.f64 x)>
#<alt (+.f64 (+.f64 x y) (*.f64 (neg.f64 x) z))>
Outputs
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))>
#<alt (+.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))>
#<alt (+.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 x z) (/.f64 y z)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 x z) (/.f64 y z)))))>
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#<alt (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
y
@0
(+ (* (- 1 z) y) (* (- 1 z) x))
1.0ms
y
@0
(* (neg y) z)
1.0ms
z
@0
(* (neg y) z)
0.0ms
z
@0
(* (neg x) z)
0.0ms
z
@inf
(* (neg y) z)

rewrite432.0ms (6.2%)

Algorithm
batch-egg-rewrite
Rules
1 052×log1p-expm1-u
487×expm1-log1p-u
165×add-cube-cbrt
163×associate-*r*
162×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022151
1355125
25717125
Stop Event
node limit
Counts
8 → 302
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(+.f64 y (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 x) z)
(neg.f64 x)
(+.f64 (+.f64 x y) (*.f64 (neg.f64 x) z))
Outputs
(-.f64 (fma.f64 z y y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 y x))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (+.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z y y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (fma.f64 z y y))))))
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(/.f64 (neg.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64))) (neg.f64 (fma.f64 z y y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 z y) y))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (fma.f64 z y y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z y y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z y y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z y y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z y y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z y y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z y y))))
(log.f64 (/.f64 (exp.f64 y) (pow.f64 (exp.f64 y) z)))
(cbrt.f64 (pow.f64 (fma.f64 z y y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z y y)))
(log1p.f64 (expm1.f64 (fma.f64 z y y)))
(exp.f64 (log.f64 (fma.f64 z y y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z y y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) y)
(fma.f64 z y y)
(fma.f64 y z y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 z y))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 y x) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z x (+.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 z x (+.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (fma.f64 z x (+.f64 y x))))
(*.f64 #s(literal 1 binary64) (fma.f64 z x (+.f64 y x)))
(*.f64 (fma.f64 z x (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z x (+.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z x (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x (+.f64 y x))))
(*.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x (+.f64 y x))))
(*.f64 (sqrt.f64 (fma.f64 z x (+.f64 y x))) (sqrt.f64 (fma.f64 z x (+.f64 y x))))
(*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (+.f64 y x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (+.f64 y x))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x (+.f64 y x)) (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64)) (fma.f64 z x (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (+.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (+.f64 y x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y (*.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y (*.f64 z x)) (+.f64 y (*.f64 z x))) (*.f64 x (+.f64 y (*.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 y (*.f64 z x)) (+.f64 y (*.f64 z x)))) (-.f64 x (+.f64 y (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (+.f64 y x)))
(pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z x (+.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z x (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x (+.f64 y x)))))
(log.f64 (/.f64 (exp.f64 (+.f64 y x)) (pow.f64 (exp.f64 z) x)))
(cbrt.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z x (+.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 z x (+.f64 y x))))
(exp.f64 (log.f64 (fma.f64 z x (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x (+.f64 y x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (+.f64 y (*.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 z x))
(fma.f64 z x (+.f64 y x))
(fma.f64 x z (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 y (*.f64 z x)))
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (+.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 y (*.f64 z x)))

simplify325.0ms (4.6%)

Algorithm
egg-herbie
Rules
488×associate-*l*
446×fma-define
439×associate-*r*
362×times-frac
333×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062515980
1151614767
2735014742
Stop Event
node limit
Counts
494 → 439
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))
(+.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))
(+.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
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(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
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(cbrt.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z x (+.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 z x (+.f64 y x))))
(exp.f64 (log.f64 (fma.f64 z x (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x (+.f64 y x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (+.f64 y (*.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 z x))
(fma.f64 z x (+.f64 y x))
(fma.f64 x z (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 y (*.f64 z x)))
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (+.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 y (*.f64 z x)))
Outputs
(+.f64 x y)
(+.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))
(+.f64 (+.f64 x y) (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))
(+.f64 (+.f64 x y) (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))
(+.f64 (+.f64 x y) (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) x))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) x))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 (neg.f64 z) (+.f64 (+.f64 x y) (neg.f64 (/.f64 (+.f64 x y) z))))
(*.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 x y) z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 (neg.f64 z) (+.f64 (+.f64 x y) (neg.f64 (/.f64 (+.f64 x y) z))))
(*.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 x y) z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(*.f64 (neg.f64 z) (+.f64 (+.f64 x y) (neg.f64 (/.f64 (+.f64 x y) z))))
(*.f64 (+.f64 x (-.f64 y (/.f64 (+.f64 x y) z))) (neg.f64 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 x y) (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 x y) (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 x y) (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) z)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))))
(neg.f64 (*.f64 (neg.f64 y) (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))))
(neg.f64 (*.f64 (neg.f64 y) (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))))
(neg.f64 (*.f64 (neg.f64 y) (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 x y) (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 x y) (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 x y) (*.f64 z (*.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)) z)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x)))))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z)))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (/.f64 y z)))
(*.f64 z (-.f64 (/.f64 y z) y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (/.f64 y z)))
(*.f64 z (-.f64 (/.f64 y z) y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (/.f64 y z)))
(*.f64 z (-.f64 (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (/.f64 y z)))
(*.f64 z (-.f64 (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (/.f64 y z)))
(*.f64 z (-.f64 (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (/.f64 y z)))
(*.f64 z (-.f64 (/.f64 y z) y))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) y (/.f64 y z)))
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(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x z (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 x z)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x (+.f64 y x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x z (+.f64 x y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x z (+.f64 x y))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x z (+.f64 x y)) #s(literal 2 binary64)) (fma.f64 x z (+.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y (*.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y (*.f64 z x)) (+.f64 y (*.f64 z x))) (*.f64 x (+.f64 y (*.f64 z x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y (*.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 y (*.f64 x z)) (-.f64 (+.f64 y (*.f64 x z)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x z y) #s(literal 3 binary64))) (fma.f64 (fma.f64 x z y) (-.f64 (fma.f64 x z y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x z (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 x z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 y (*.f64 z x)) (+.f64 y (*.f64 z x)))) (-.f64 x (+.f64 y (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 y (*.f64 x z)) (+.f64 y (*.f64 x z)))) (-.f64 x (+.f64 y (*.f64 x z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 x z y) (fma.f64 x z y))) (-.f64 x (fma.f64 x z y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (+.f64 x y)))
(pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 1 binary64))
(fma.f64 x z (+.f64 x y))
(pow.f64 (cbrt.f64 (fma.f64 z x (+.f64 y x))) #s(literal 3 binary64))
(fma.f64 x z (+.f64 x y))
(pow.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x z (+.f64 x y))
(pow.f64 (sqrt.f64 (fma.f64 z x (+.f64 y x))) #s(literal 2 binary64))
(fma.f64 x z (+.f64 x y))
(sqrt.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x z (+.f64 x y)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x z (+.f64 x y)))
(log.f64 (exp.f64 (fma.f64 z x (+.f64 y x))))
(fma.f64 x z (+.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x (+.f64 y x)))))
(fma.f64 x z (+.f64 x y))
(log.f64 (/.f64 (exp.f64 (+.f64 y x)) (pow.f64 (exp.f64 z) x)))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (pow.f64 (exp.f64 z) x)))
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (pow.f64 (exp.f64 x) z)))
(log.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) z) y)))
(cbrt.f64 (pow.f64 (fma.f64 z x (+.f64 y x)) #s(literal 3 binary64)))
(fma.f64 x z (+.f64 x y))
(expm1.f64 (log1p.f64 (fma.f64 z x (+.f64 y x))))
(expm1.f64 (log1p.f64 (fma.f64 x z (+.f64 x y))))
(log1p.f64 (expm1.f64 (fma.f64 z x (+.f64 y x))))
(fma.f64 x z (+.f64 x y))
(exp.f64 (log.f64 (fma.f64 z x (+.f64 y x))))
(fma.f64 x z (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x (+.f64 y x))) #s(literal 1 binary64)))
(fma.f64 x z (+.f64 x y))
(fma.f64 #s(literal 1 binary64) x (+.f64 y (*.f64 z x)))
(fma.f64 x z (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (+.f64 y x))
(fma.f64 x z (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 z x))
(fma.f64 x z (+.f64 x y))
(fma.f64 z x (+.f64 y x))
(fma.f64 x z (+.f64 x y))
(fma.f64 x z (+.f64 y x))
(fma.f64 x z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)) (*.f64 z x))
(fma.f64 x z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (+.f64 y x))
(fma.f64 x z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 y (*.f64 z x)))
(fma.f64 x z (+.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 z x))
(fma.f64 x z (+.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (+.f64 y x))
(fma.f64 x z (+.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 y (*.f64 z x)))
(fma.f64 x z (+.f64 x y))

eval141.0ms (2%)

Compiler

Compiled 9 969 to 1 824 computations (81.7% saved)

prune223.0ms (3.2%)

Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New7034707
Fresh224
Picked235
Done055
Total70714721
Accuracy
100.0%
Counts
721 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(-.f64 (+.f64 y x) (*.f64 z x))
72.0%
(+.f64 (*.f64 (neg.f64 z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
53.0%
(+.f64 y (*.f64 (neg.f64 y) z))
48.5%
(+.f64 y x)
50.7%
(+.f64 x (*.f64 (neg.f64 x) z))
50.7%
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
99.9%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
51.7%
(*.f64 (+.f64 x y) (neg.f64 z))
27.8%
(*.f64 (neg.f64 z) x)
28.5%
(*.f64 (neg.f64 y) z)
53.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
3.0%
(*.f64 y z)
26.5%
y
24.2%
x
Compiler

Compiled 159 to 109 computations (31.4% saved)

simplify41.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff64
(+.f64 x (*.f64 (neg.f64 x) z))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) x)
cost-diff0
(*.f64 y z)
cost-diff-6272
(-.f64 (+.f64 y x) (*.f64 z x))
cost-diff0
(*.f64 z x)
cost-diff0
(+.f64 y x)
Rules
237×fmm-def
200×fma-define
41×cancel-sign-sub-inv
37×sub-neg
33×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
019186
139182
261176
3108172
4178172
5286172
6518172
7800172
8934172
9973172
10973172
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 y x) (*.f64 z x))
(+.f64 y x)
y
x
(*.f64 z x)
z
y
(*.f64 y z)
y
z
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
(+.f64 x (*.f64 (neg.f64 x) z))
x
(*.f64 (neg.f64 x) z)
(neg.f64 x)
z
Outputs
(-.f64 (+.f64 y x) (*.f64 z x))
(+.f64 y (-.f64 x (*.f64 x z)))
(fma.f64 (fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64)) x y)
(fma.f64 x (-.f64 #s(literal 1 binary64) z) y)
(+.f64 y x)
y
x
(*.f64 z x)
(*.f64 x z)
z
y
(*.f64 y z)
y
z
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(neg.f64 z)
z
x
(+.f64 x (*.f64 (neg.f64 x) z))
(+.f64 x (*.f64 x (neg.f64 z)))
(-.f64 x (*.f64 x z))
(*.f64 x (fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(*.f64 (neg.f64 x) z)
(*.f64 x (neg.f64 z))
(neg.f64 x)
z

localize45.0ms (0.6%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x (*.f64 (neg.f64 x) z))
accuracy100.0%
(*.f64 (neg.f64 x) z)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(*.f64 (neg.f64 z) x)
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(-.f64 (+.f64 y x) (*.f64 z x))
Samples
33.0ms256×0valid
Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (48.8% of total)
ival-add: 3.0ms (20.9% of total)
ival-neg: 2.0ms (13.9% of total)
ival-sub: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (*.f64 z x)>
#<alt (-.f64 (+.f64 y x) (*.f64 z x))>
#<alt (*.f64 y z)>
#<alt (*.f64 (neg.f64 z) x)>
#<alt (+.f64 x (*.f64 (neg.f64 x) z))>
Outputs
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (-.f64 x (*.f64 x z))>
#<alt (-.f64 (+.f64 x y) (*.f64 x z))>
#<alt (-.f64 (+.f64 x y) (*.f64 x z))>
#<alt (-.f64 (+.f64 x y) (*.f64 x z))>
#<alt y>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x z) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z))))>
#<alt (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
Calls

33 calls:

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

rewrite123.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1 071×log1p-expm1-u
1 071×expm1-log1p-u
132×associate-*r*
124×add-cube-cbrt
122×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01996
128784
2430984
Stop Event
node limit
Counts
5 → 136
Calls
Call 1
Inputs
(*.f64 z x)
(-.f64 (+.f64 y x) (*.f64 z x))
(*.f64 y z)
(*.f64 (neg.f64 z) x)
(+.f64 x (*.f64 (neg.f64 x) z))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(+.f64 x (+.f64 y (*.f64 z x)))
(+.f64 x (-.f64 y (*.f64 z x)))
(+.f64 y (fma.f64 z x x))
(+.f64 (+.f64 x y) (*.f64 z x))
(+.f64 (+.f64 y (fma.f64 z x x)) (fma.f64 x z (*.f64 z x)))
(+.f64 (+.f64 y (fma.f64 z x x)) (fma.f64 z x (*.f64 z x)))
(+.f64 (+.f64 y (fma.f64 z x x)) (fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 z x)))
(+.f64 (+.f64 y (fma.f64 z x x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z x)))
(+.f64 (+.f64 y (fma.f64 z x x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)))
(+.f64 (*.f64 z x) (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
(*.f64 (+.f64 y (fma.f64 z x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 z x x)))
(*.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (fma.f64 z x x))))
(*.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 z x x))))
(*.f64 (sqrt.f64 (+.f64 y (fma.f64 z x x))) (sqrt.f64 (+.f64 y (fma.f64 z x x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 z x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 z x))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (fma.f64 z x x)) (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (+.f64 y (fma.f64 z x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 z x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 z x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 z x)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64))) (neg.f64 (+.f64 y (fma.f64 z x x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z x x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 y (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (-.f64 y (fma.f64 z x x)))
(pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y (fma.f64 z x x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y (fma.f64 z x x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (fma.f64 z x x)))))
(cbrt.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (fma.f64 z x x))))
(log1p.f64 (expm1.f64 (+.f64 y (fma.f64 z x x))))
(exp.f64 (log.f64 (+.f64 y (fma.f64 z x x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 z x x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (fma.f64 z x x))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (fma.f64 z x x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 z x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 z x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(-.f64 x (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 z x x)) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (fma.f64 z x x)))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (fma.f64 z x x))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z x x)))
(*.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(*.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x x)))
(*.f64 (fma.f64 z x x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z x x)) (cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))))
(*.f64 (+.f64 z #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x x) (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (fma.f64 z x x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z x) x))
(pow.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z x x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 z x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x x))))
(log.f64 (exp.f64 (fma.f64 z x x)))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 z) x)))
(cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z x x)))
(log1p.f64 (expm1.f64 (fma.f64 z x x)))
(exp.f64 (log.f64 (fma.f64 z x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x x)) #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 x z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))

simplify335.0ms (4.8%)

Algorithm
egg-herbie
Rules
514×distribute-lft-in
507×distribute-rgt-in
433×associate-/r*
355×cancel-sign-sub-inv
334×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03106921
16916564
223546195
Stop Event
node limit
Counts
244 → 190
Calls
Call 1
Inputs
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(-.f64 x (*.f64 x z))
(-.f64 (+.f64 x y) (*.f64 x z))
(-.f64 (+.f64 x y) (*.f64 x z))
(-.f64 (+.f64 x y) (*.f64 x z))
y
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x z) y)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x z) y)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x z) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(+.f64 x y)
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z))))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z))))
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) x))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) x))
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 y z)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(+.f64 x (+.f64 y (*.f64 z x)))
(+.f64 x (-.f64 y (*.f64 z x)))
(+.f64 y (fma.f64 z x x))
(+.f64 (+.f64 x y) (*.f64 z x))
(+.f64 (+.f64 y (fma.f64 z x x)) (fma.f64 x z (*.f64 z x)))
(+.f64 (+.f64 y (fma.f64 z x x)) (fma.f64 z x (*.f64 z x)))
(+.f64 (+.f64 y (fma.f64 z x x)) (fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 z x)))
(+.f64 (+.f64 y (fma.f64 z x x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z x)))
(+.f64 (+.f64 y (fma.f64 z x x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)))
(+.f64 (*.f64 z x) (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
(*.f64 (+.f64 y (fma.f64 z x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 z x x)))
(*.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (fma.f64 z x x))))
(*.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 z x x))))
(*.f64 (sqrt.f64 (+.f64 y (fma.f64 z x x))) (sqrt.f64 (+.f64 y (fma.f64 z x x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 z x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 z x))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (fma.f64 z x x)) (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (+.f64 y (fma.f64 z x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 z x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 z x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (*.f64 z x)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64))) (neg.f64 (+.f64 y (fma.f64 z x x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z x x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 y (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (-.f64 y (fma.f64 z x x)))
(pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y (fma.f64 z x x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y (fma.f64 z x x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (fma.f64 z x x)))))
(cbrt.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (fma.f64 z x x))))
(log1p.f64 (expm1.f64 (+.f64 y (fma.f64 z x x))))
(exp.f64 (log.f64 (+.f64 y (fma.f64 z x x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 z x x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (fma.f64 z x x))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (fma.f64 z x x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 z x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 z x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(-.f64 x (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 z x x)) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (fma.f64 z x x)))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (fma.f64 z x x))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z x x)))
(*.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(*.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x x)))
(*.f64 (fma.f64 z x x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z x x)) (cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))))
(*.f64 (+.f64 z #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x x) (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (fma.f64 z x x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z x) x))
(pow.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z x x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 z x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x x))))
(log.f64 (exp.f64 (fma.f64 z x x)))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 z) x)))
(cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z x x)))
(log1p.f64 (expm1.f64 (fma.f64 z x x)))
(exp.f64 (log.f64 (fma.f64 z x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x x)) #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 x z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))
Outputs
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 (+.f64 x y) (*.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) y)
(-.f64 (+.f64 x y) (*.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) y)
(-.f64 (+.f64 x y) (*.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) y)
y
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))
y
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(-.f64 (+.f64 x y) (*.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) y)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(-.f64 (+.f64 x y) (*.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) y)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(-.f64 (+.f64 x y) (*.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) y)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) z)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) z)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) z)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) z)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) z)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) z)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) z)))
(+.f64 x y)
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z))))
(-.f64 (+.f64 x y) (*.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) y)
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z))))
(-.f64 (+.f64 x y) (*.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) y)
(+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x z))))
(-.f64 (+.f64 x y) (*.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) y)
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
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(fma.f64 x z x)
(fma.f64 x z x)
(expm1.f64 (log1p.f64 (fma.f64 x z x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 z x))
(expm1.f64 (log1p.f64 (fma.f64 x z x)))
(fma.f64 x z x)
(fma.f64 #s(literal 1 binary64) (*.f64 z x) x)
(expm1.f64 (log1p.f64 (fma.f64 x z x)))
(fma.f64 x z x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) x)
(expm1.f64 (log1p.f64 (fma.f64 x z x)))
(fma.f64 x z x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z x))
(expm1.f64 (log1p.f64 (fma.f64 x z x)))
(fma.f64 x z x)
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) x)
(expm1.f64 (log1p.f64 (fma.f64 x z x)))
(fma.f64 x z x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))
(expm1.f64 (log1p.f64 (fma.f64 x z x)))
(fma.f64 x z x)

eval74.0ms (1.1%)

Compiler

Compiled 3 941 to 877 computations (77.7% saved)

prune101.0ms (1.4%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New3512353
Fresh011
Picked145
Done178
Total35314367
Accuracy
100.0%
Counts
367 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(-.f64 (+.f64 y x) (*.f64 z x))
50.7%
(-.f64 x (*.f64 z x))
72.0%
(+.f64 (*.f64 (neg.f64 z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
53.0%
(+.f64 y (*.f64 (neg.f64 y) z))
48.5%
(+.f64 y x)
99.9%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
51.7%
(*.f64 (+.f64 x y) (neg.f64 z))
27.8%
(*.f64 (neg.f64 z) x)
28.5%
(*.f64 (neg.f64 y) z)
5.0%
(*.f64 z x)
53.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
3.0%
(*.f64 y z)
26.5%
y
24.2%
x
Compiler

Compiled 232 to 110 computations (52.6% saved)

regimes41.0ms (0.6%)

Counts
21 → 1
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 x y) (neg.f64 z))
(+.f64 x (*.f64 (neg.f64 x) z))
(+.f64 y (*.f64 (neg.f64 y) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(-.f64 (+.f64 y x) (*.f64 z x))
(+.f64 (+.f64 x y) (*.f64 (neg.f64 x) z))
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 z))
(+.f64 (*.f64 (neg.f64 z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
Calls

6 calls:

7.0ms
y
7.0ms
(-.f64 #s(literal 1 binary64) z)
7.0ms
(+.f64 x y)
7.0ms
x
6.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
100.0%1(+.f64 x y)
100.0%1(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes40.0ms (0.6%)

Counts
19 → 1
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 x y) (neg.f64 z))
(+.f64 x (*.f64 (neg.f64 x) z))
(+.f64 y (*.f64 (neg.f64 y) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(-.f64 (+.f64 y x) (*.f64 z x))
(+.f64 (+.f64 x y) (*.f64 (neg.f64 x) z))
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 z))
(+.f64 (*.f64 (neg.f64 z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Calls

6 calls:

7.0ms
z
7.0ms
x
6.0ms
(-.f64 #s(literal 1 binary64) z)
6.0ms
y
6.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
99.9%1(+.f64 x y)
99.9%1(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes33.0ms (0.5%)

Counts
13 → 2
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 x y) (neg.f64 z))
(+.f64 x (*.f64 (neg.f64 x) z))
(+.f64 y (*.f64 (neg.f64 y) z))
Outputs
(-.f64 x (*.f64 z x))
(+.f64 y (*.f64 (neg.f64 y) z))
Calls

5 calls:

13.0ms
x
6.0ms
(+.f64 x y)
4.0ms
y
4.0ms
z
4.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
81.8%2x
84.8%2y
96.4%3z
98.5%2(+.f64 x y)
96.4%3(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes5.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 x y) (neg.f64 z))
(+.f64 x (*.f64 (neg.f64 x) z))
Outputs
(-.f64 x (*.f64 z x))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Calls

1 calls:

4.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
98.5%2(+.f64 x y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Calls

3 calls:

6.0ms
z
4.0ms
y
3.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
84.8%2y
82.2%5z
82.2%5(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes15.0ms (0.2%)

Counts
8 → 4
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+.f64 y x)
(*.f64 (neg.f64 z) x)
(*.f64 (neg.f64 y) z)
Calls

4 calls:

5.0ms
y
3.0ms
z
3.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
79.6%4z
79.6%4(-.f64 #s(literal 1 binary64) z)
68.1%3x
72.2%3y
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Counts
7 → 5
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.f64 y x)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
Outputs
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) x)
(+.f64 y x)
(*.f64 (neg.f64 z) x)
(*.f64 (neg.f64 y) z)
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
80.6%5z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
73.4%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

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

3 calls:

5.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
48.5%1x
48.5%1y
48.5%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
x
y
(*.f64 y z)
(*.f64 z x)
Outputs
x
y
Calls

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
39.3%2x
30.4%2z
40.9%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

2.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
24.2%1z
24.2%1x
24.2%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.672577064147603e-289
2.408039215801514e-284
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.672577064147603e-289
2.408039215801514e-284
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch12.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
1.4658258562537273e-84
2.8856841804447894e-80
Samples
7.0ms128×0valid
Compiler

Compiled 157 to 125 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (42.1% of total)
ival-add: 1.0ms (42.1% of total)
ival-mult: 1.0ms (42.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.976014819922399e+191
8.017137581994788e+191
0.0ms
1.5814792000962719
5546157.639085187
0.0ms
0.9971782516034079
0.9999989135904404
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch31.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
4.600600281397646e+38
4.8302930370147895e+39
9.0ms
0.029253181517898432
3.194917606935203
11.0ms
-5546156.639085187
-0.581479200096272
0.0ms
-8.017137581994788e+191
-7.976014819922399e+191
Samples
17.0ms352×0valid
Compiler

Compiled 349 to 261 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (29.2% of total)
ival-add: 2.0ms (29.2% of total)
ival-mult: 2.0ms (29.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
0.029253181517898432
3.194917606935203
9.0ms
-14285551161086722000.0
-64244330740190930.0
Samples
10.0ms224×0valid
Compiler

Compiled 223 to 167 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (24.1% of total)
ival-add: 1.0ms (24.1% of total)
ival-mult: 1.0ms (24.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch142.0ms (2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
141.0ms
1.4658258562537273e-84
2.8856841804447894e-80
Samples
138.0ms128×0valid
Compiler

Compiled 93 to 77 computations (17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-add: 132.0ms (98.5% of total)
ival-sub: 1.0ms (0.7% of total)
ival-mult: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
16×*-commutative
12×+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063600
199592
2124592
3142592
4151592
5153592
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -4388899255034951/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (-.f64 x (*.f64 z x)) (+.f64 y (*.f64 (neg.f64 y) z)))
(if (<=.f64 (+.f64 x y) #s(literal -4388899255034951/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (-.f64 x (*.f64 z x)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 y #s(literal 7475954625723185/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4494592428115755/4503599627370496 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 y x) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 800000000000000058047337277855022688824273943024909825965467518717768137993655125956165454539459356139250078149494057692906780253090993101719229262403145743377009961460215385664256879634677760 binary64)) (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 y) z))))
(if (<=.f64 z #s(literal -800000000000000058047337277855022688824273943024909825965467518717768137993655125956165454539459356139250078149494057692906780253090993101719229262403145743377009961460215385664256879634677760 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal -42 binary64)) (*.f64 (neg.f64 z) x) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 949999999999999950279494425614451998720 binary64)) (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 y) z)))))
(if (<=.f64 z #s(literal -65000000000000000 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (*.f64 (neg.f64 y) z)))
(+.f64 y x)
(if (<=.f64 y #s(literal 7075457056488015/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) x y)
x
Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
(-.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -4388899255034951/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (-.f64 x (*.f64 z x)) (+.f64 y (*.f64 (neg.f64 y) z)))
(if (<=.f64 (+.f64 x y) #s(literal -4388899255034951/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (-.f64 x (*.f64 x z)) (+.f64 y (*.f64 z (neg.f64 y))))
(if (<=.f64 (+.f64 x y) #s(literal -4388899255034951/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (-.f64 x (*.f64 x z)) (-.f64 y (*.f64 y z)))
(if (<=.f64 (+.f64 x y) #s(literal -4388899255034951/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (-.f64 x (*.f64 z x)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -4388899255034951/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (-.f64 x (*.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
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(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4494592428115755/4503599627370496 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (+.f64 y x) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 800000000000000058047337277855022688824273943024909825965467518717768137993655125956165454539459356139250078149494057692906780253090993101719229262403145743377009961460215385664256879634677760 binary64)) (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 y) z))))
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(if (<=.f64 z #s(literal -65000000000000000 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (*.f64 (neg.f64 y) z)))
(if (or (<=.f64 z #s(literal -65000000000000000 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 z (neg.f64 y)) (+.f64 x y))
(if (or (<=.f64 z #s(literal -65000000000000000 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 y (neg.f64 z)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 y #s(literal 7075457056488015/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) x y)
x

soundness897.0ms (12.8%)

Rules
1 071×log1p-expm1-u
1 071×expm1-log1p-u
785×log1p-expm1-u
785×expm1-log1p-u
624×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01996
128784
2430984
062716796
1145914970
2567514774
04056912
19706714
232826624
01351
115351
2204651
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 334 to 136 computations (59.3% saved)

preprocess193.0ms (2.8%)

Remove

(sort x y)

Compiler

Compiled 460 to 180 computations (60.9% saved)

end0.0ms (0%)

Profiling

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